Subjects

Sections | |||
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Intro to Forces + Newton's Laws | 16 mins | 0 completed | Learn |

Force Problems with Motion | 28 mins | 0 completed | Learn |

Forces with Multiple Objects | 26 mins | 0 completed | Learn |

Vertical Forces & Equilibrium | 34 mins | 0 completed | Learn |

More 1D Equilibrium | 16 mins | 0 completed | Learn |

Vertical Forces & Acceleration | 26 mins | 0 completed | Learn |

Landing & Jumping Problems | 19 mins | 0 completed | Learn |

Forces in 2D | 35 mins | 0 completed | Learn |

2D Equilibrium | 25 mins | 0 completed | Learn |

Concept #1: Intro to Forces & Newton's Laws

**Transcript**

Hey guys we're gonna start talking about forces so this is also the beginning of a topic in physics called dynamics. We've done a lot of motion problems and that was called kinematics that area of physics. This area with forces is called dynamics. So much like other sections other topics I'm gonna explain this in an order that's a little bit different from your book possibly a little bit different from the professor. I'm going to follow an order that I think makes the most logical sense in terms of help you learn. So let's get started. So you can think of forces basically just a push or a pull, the unit to measure force how strong of forces is Newton's or a Newton which is abreviated N, Newton is the most bad ass physicist and scientist ever. That's all the history will give you.Lot of people thinks its If you think it's Eienstien but it's actually him, will represent forces as a pull. Now this is just a preference that I have. You can certainly draw as a push but I much prefer if it's a pull. And the reason for that is it's easier to visualize this would make more sense later but you can just trust me for now so if I tell you that you're pushing a box you might want to try like this. But we actually want to draw forces as puls instead, so I'm gonna move this even if I told to push or move this tent over here. OK. If it gets a little bit more complicated but still pretty easy. Let's say there a force of five Newton thirty degrees below the x axis. So you can move it over here. It's the same five Newtons and it's still 30 degrees below the x axis just the same. So we would basically draw it over there it's easier to visualize. So. What I want to do is I want to go over all different types of forces to know in a logical sequence. The first one I'm gonna do is we can talk about generic forces. Basically this is nerve of the other forces right. And we're going to refer to them as simply applied forces. So if it's not gravity or normal or whatever we're gonna call these applied forces, the most usual one is you is a person applying force on an object we call that an applied force. For example you pulling on a box or a little kid pushing a car or whatever a toy car. So if you pulling a rope and then the other one is if you pull on a rope then that force instead of called being called an applied force can also be called a tension. Okay. So here's a box here's a rope. Let's say you're pulling over here. When you're a little dress here. Boom. You push or you pull with a force applied force whatever that forces gets transmitted into the rope and the tension on the rope would be the same. So if you push if you pull on a rope or push, I cant push a rope. But if you pull the rope with a force of 10 then the tension in the rope is 10. OK. And what the rope does it basically transfers your force from here to here. And as long as the rope is massless these two forces will be identical. OK. So I can say the force applied to be the same as tension, In physics most ropes will be massless and most of the times they won't break. Right that's the only thing that special tension is that the rope might actually break. But in most of the times it won't. And we can just assume that it's not going to happen. All right. So Newton's laws, Newton come up with these laws in 16 mid 16 hundreds and you should know them. The first one is inertia. I go one these very quickly because I'm sure there's tons in your book and a professor probably spoke about this for a while. Inertia is just a tendency that objects have to maintain their velocity. So it's a tendency to maintain velocity. You can think of it as maintaining velocity or tendency to resist change same thing as maintain in velocity. So the idea is that you're going to maintain your velocity unless you're acted upon by a net force. So objects tend to keep doing what they're doing. Unless there's a force acting on it if you're not moving and there's not an air force on you you won't move. If you are moving with five meters per second and there's no forces acting on you you gonna move five meters per second forever. Now that's kind of weird in every day life because if you throw something it's eventually going to stop, things don't move forever but that's because the world is full of friction and if it wasn't for friction things would move on forever and that would be all kinds of weird. The reason I say that force is because an object could be acted upon by let's say five to the left and a force of five Newtons to the right. And then they would just cancel which is the same thing as not having any forces at all. OK so here's the idea. Motion requires no force. This is a very big misconception that for something to continue to move you have to continue to push it. You don't you just throw something it's going to move on forever as long as there's no forces on it. Acceleration however does require force. So you don't require force to continue to move. You need a force to change your velocity to change how you're moving. The second one. Newton's second law is the most important out of the three in terms of these problem solving. And it's just the math equation. Some of Forces equals in which is arguably the most important equation in all of physics. Maybe all of science. So at least in some basic level. So I can rewrite this in terms of A. And it would look like this. A equals the sum of all forces over the mass. Right. So this states that the sum of all forces on an object is equal to the mass of that object times the acceleration of the object has. I can write it this way so the acceleration an object has is the forces are divided by its mass. And I want to show what happens if I have. The same force on two different masses. Let's say there is a force of 10 that's applied to an object of mass 1. Obviously again an acceleration of 10 meters per second squared. But let's say I have a force the same force of 10. But now the mass is 2. So we get five meters per second squared. So notice that if the mass goes up. Acceleration goes down. Acceleration is change in velocity over change in time. So assume the time stays the same, mass increasing. If you have more mass you're going to accelerate less. Where are you going to accelerate slower or your change in velocity be slower.

Remember inertia is a property that objects have it's a tendency that objects have to maintain their velocity. Objects don't want to change velocity. And the more energy you have the less you change the velocity or the more you maintain your velocity. Inertia is maintaining your velocity. The more mass the more you maintain your velocity so the more mass the more inertial. So mass can be thought of in physics as the quantity of inertia. That's one definition. How much resistance to change in velocity Do you have. OK. I only mention this here if two objects are pushed by the same force the heavier one will accelerate less or at a slower pace. OK. So mass is the quantity of inertia that is the amount of resistance to delta-V. So if you were to push a small car and a large truck even at the absence of friction let's say it's a complete frictionless ice ring or something. It would be the car would accelerate faster the small object would accelerate faster even without friction because it has less resistance to. Change in velocity. OK. The third one I'm sure you've heard about this one. This is Action-Reaction. Right so your boyfriend cheats on you and then you go and you hook up with his best friend or something to try to get back at him. So every action results in reaction of equal magnitude and these are forces. So every force results in another force a reaction force of equal magnitude but opposite direction. OK and this looks like this. The force of A on B. equals the negative of the force of B on A. All this negative does is tell you that they are in opposite directions. If I were to punch someone in the face their face is also hitting my head and the force is the same. Their face probably more fragile than my hand so that's why hurts more for them. Right. All forces exist in Action-Reaction pairs. So for example we're going to talk about this later. But already you know if you're around the earth the earth pulls you down. That force is called weight. And it's you can write this as mg well guess what if if the Earth pulls on you with 500 you're pulling in the earth with 500 as well. So the idea is that you're basically getting closer towards each other. The problem with that is that obviously the earth is huge and there's a lot of other people pulling in the earth. So it's not really going to move because of you at least not a whole lot. Right. Negligible miles. So all forces with no exception exist in action reaction pairs. Now let's start solving some force problems which is this is the core we're gonna do for a whole bunch of videos from now on. So steps to solve force problems. There's three and we're going to do this over and over again. The first thing is we're going to draw what's called a free body diagram. Free body diagram. Which is very often abbreviated is F. B. D. And almost every professor likes using this. Every book talks about it. And then we're going to write some of our forces because I mean this is the second law. And then we're going to solve this. OK. Now free body diagram. We'll talk about this more as we go to the videos. It's the only time in physics and one of the few times in physics one where you have to be very picky about the way you draw diagrams. Everything we've done so far. We're sketches for the most part but there are specific rules in how to draw free body diagrams. And often this will be part of your great when you're solving a question on your test. All right. So let's do some examples here. Find the Block's mass and this first one here. So I'm asking for mass I know 30 Newtons. This is a force the only force here and the acceleration is six. So which equation should I use, I should use was a (F=ma) obviously but before we do that let's draw free body diagram so free body diagram this is not a free body diagram because a free body diagram has to be a dot. That has forces connected to it ok but only forces can be connected to it to the dark. That's the world. So I can write F=30. If I'm pushing to the right you would expect that the acceleration goes to the right. However I can draw this like this because acceleration is armed forces and in a free body diagram I can only have force arrows, force vectors touching the dots pretty sensitive like. OK. So this is your complete free body diagram. A dot with forces coming out of it. Now I'm going to write the sum of all forces on this object equals the mass of this object. So this is the sum of all forces on the objects is the mass of the objects and the acceleration of the object. You wouldn't usually write all this I'm just making that point for now and I can cover that a few more times as necessary. But anyway the only force here is 30 it's going to the right I gonna say that going to the right is positive. So it's positive 30 the mass is what I'm looking for. And the acceleration is six.

So mass is 30 over six. Mass is five. And that's in kilograms. The SI unit for mass. OK very straightforward. (F=ma) plug in the numbers you're done. Let's look at this one here. Let's check the south find the acceleration so I don't know what is the acceleration of this box. Lets draw a free body diagram. I have a I'm gonna call this F. This one to the left I'm gonna call it F1 equals thirty have to equals 10. They might be wondering what one is to the left and to the right. Should one be positive for the other one to be negative. It will be. So this is my complete free body diagram right there. Some of our forces equals (ma) And what I'm going to do here is I have two forces I'm gonna make two little brackets. The masses for and the acceleration I'm looking for. Now these forces are going the opposite direction so they have to have opposite sides right. So I'm gonna say they're going to the right is positive this is going to be our standard. So these guys basically becomes 10 and this is a negative 30, so plus 10 negative 30. Now I don't have to put a negative here. Right. It is negative but I didn't have to put a negative there because there's already an arrow pointing to the left so I know that it's it's going to be negative. I don't have to explicitly put it there. Also 10 minus 20 and minus 30 is negative 20 equals 4a. And if I move the 4 over again native 20 over 4 this is negative 5 meters per second square. I got a negative. Does that make sense. It should because my strongest force is Pulling to left. So it's gonna think of it as a little tug of war. It's going to win. So my acceleration will fall the strongest force and let's do the last one here. I'm asking what is the magnitude of this force F free body diagram. Notice that it looks very similar to this. I just can't have a little box it's going to be dot. It's kind of silly. So I'm looking for this F here. There's a 20 here that's my free body diagram. OK. So the sum of all forces equals (ma) the forces are F Negative. And in 20 pauses. The mass is five and the acceleration is 2. OK. And then if we move everything around I get that negative half equals 10 minus 20, this is a 10 minus 20 negative F is negative 10. So F is positive 10. Now. Very important. When we highlight the answers here. I got a positive 10. Does that mean that that force is actually to the right. No. When you plug in forces you should plug them as under some of our forces with their signs indicating their direction. But your final answer will be when you do this your final answer will be positive. And the reason for that is that this is just the magnitude of the Force. So when you do (F=ma) you look for a force you are gonna plug in a force saying it with respective sign and whatever answer you get is the magnitude of the force we're going to have a chance to talk more about this in future videos and make this a little more clear. So anyway that's it for this intro video in forces. Hope it clears things up a little bit and let's continue on to the other ones.

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Concept #1: Intro to Forces & Newton's Laws

A rock attached to a string is whirled in a horizontal circle. If the string breaks suddenly, the rock will
A) initially move radially outward from the center of the circle.
B) initially move in a direction tangent to the circle.
C) continue moving around the circle.
D) drop straight down.

Under the influence of a constant force F, an object with mass m has acceleration a. Halving the force but doubling the mass will change the acceleration of the object to
A) 4a
B) the same a
C) 1/2 a
D) 1/4 a

Suppose someone is standing on a scale.
(a) Draw a free body diagram of the forces acting on the person
(b) List what the scale would read if the person had a mass of 50 kg. Assume the units of the scale are N.
(c) Do the normal force from the scale and the weight of the person form an action/reaction pair, as defined by Newton's third law?

If you were to move into outer space far from any stars on planets,
A) both your weight and mass would change.
B) your mass would change, but your weight would not change.
C) your weight would change, but your mass would not change.
D) neither your weight nor your mass would change.
E) None of these is true.

A 165 lb researcher received a shipment of lab equipment in a 1600 N crate. She pushes it across the floor applying a 115 N force with her hands. Which of the following is true?
A) She always feels a 115 N force from the crate pushing back against her hands.
B) The crate will push back at her with a force of 165 lb.
C) She will feel a 1600 N force from the crate pushing back at her.
D) Only if the crate does not move will she feel a force of 115 N.
E) She will feel it pushing back at her with less than 115 N, if the crate is moving forward.

In outer space, where there is no gravity or air, an astronaut pushes with a force of 25 N on a 2 kg moon rock with one hand and force of 25 N on a 4 kg moon rock with the other. Which of the following is true?
A) Both rocks will push back at the astronaut with 25 N.
B) Since the astronaut is weightless, he cannot push on the rocks.
C) Since both rocks are weightless, they do not push back on the astronaut.
D) The 4 kg rock pushes back on the astronaut twice as hard as the 2 kg rock.
E) Since both rocks are weightless, they will have the same acceleration.

A child weighs 335 N. What is the child's mass?A) 3286.4 kgB) 75.3 kgC) 335.0 kgD) 1488.9 kgE) 34.1 kg

A book is at rest on an incline as shown above. A constant force vertically downward is in contact with the book. The following figures show several attempts at drawing free-body diagrams for the book. Which figure has the correct directions for each force? The magnitudes of the forces are not necessarily drawn to scale.

Despite a very strong wind, a tennis player manages to hit a tennis ball with her racquet so that the ball passes over the net and lands in her opponent’s court. Consider the following forces:1. A downward force of gravity.2. A force by the “hit”.3. A force exerted by the air.4. A force exerted by the ground.Which of the above force(s) is (are) acting on the tennis ball after it has left contact with the racquet and before it touches the ground?1. 2 and 4.2. 2 only.3. 1 only.4. 1 and 2.5. 1, 2, and 3.6. 2 and 3.7. 1, 2, 3, and 4.8. 3 only.9. 1 and 3.10. 1, 3, and 4.

A 140-lb restaurant manager received a shipment of frozen meat in a 1600 N crate. She pushes it across the floor applying a 90 N force with her hands.A) She will feel it pushing back at her with less than 90 N, if the crate is moving forward.B) She will feel a 1600 N force from the crate pushing back at her.C) The crate will push back at her with a force of 140 lb.D) She always feels a 90 N force from the crate pushing back against her hands.E) Only if the crate does not move will she feel a force of 90 N.

In outer space, where there is no gravity or air, an astronaut pushes with an equal force of 15 N on a 3-kg moon rock and on a 6-kg moon rock.A) Since both rocks are weightless, they will have the same acceleration.B) Since both rocks are weightless, they do not push back on the astronaut.C) The 6 kg rock pushes back on the astronaut twice as hard as the 3-kg rock.D) Both rocks will push back at the astronaut with 15 N.E) Since the astronaut is weightless, he cannot push on the rocks.

An object is moving to the right, and experiencing a net force that is directed to the right. The magnitude of the force is decreasing with time. The speed of the object isA) constant in time.B) increasingC) decreasing

A box, mass 3.5 kg, sits on a horizontal frictionless table. A 11 N force is applied to the box at an angle 27° below the horizontal. What is the resulting acceleration of the box?A) 3.2 m/s2B) 2.8 m/s2C) 2.4 m/s2D) 3.5 m/s2E) 1.1 m/s2

Which of the following statements about forces is not correct?A) In order for an object to turn, a force must be applied on itB) In order for an object to change speed, a force must be applied on itC) An object can put a force on another object without feeling a force in response; it depends on the objectsD) If an object feels a weight mg due to the Earth, then the Earth must feel a force mg in the opposite direction

A body moves in a straight line with a constant speed. Which of the following must be true?A) There is no net force acting on the body.B) There is a centripetal force acting.C) There is a constant net force acting in direction of motion. D) There is a single constant force acting in direction of motion.

Newton's Third Law of Motion says: Forces always come in pairs: when one object exerts a force on a second object, the second exerts an equal and opposite force on the first. If you pull horizontally on a door handle (action) this second force (reaction) isA) the frictional force of the floor against the soles of your shoes.B) the force that the door handle exerts on your hand.C) directed vertically down.D) the dark force.E) the force that the door exerts on the hinges.

A 23 kg child goes down a straight slide inclined 38 degrees above horizontal. The child is acted on by his weight, the normal force from the slide, and the kinetic friction. (a) Draw a free body diagram of the child. (b) How large is the normal force of the slide on the child?

A student solving for the acceleration of an object has applied appropriate physics principles and obtained the expression a = a1 + F/m where a1 = 3.00 m/s2, F = 12.0 kg•m/s2 and m = 7.00 kg.(a) First, which of the following is the correct step for obtaining a common denominator for the two fractions in the expression in solving for a? (b) What is the numerical value of a?

A contestant in a winter sporting event pushes a 45.0-kg block of ice across a frozen lake as shown in the figure. Gine the coefficient of static friction to be μs = 0.1, and the coefficient of kinetic friction to be μk = 0.03(a) Calculate the minimum force F he must exert to get the block moving. (b) What is the magnitude of its acceleration once it starts to move if that force is maintained?

A book weighing 5 N rests on top of a table.1. A downward force of magnitude 5 N is exerted on the book by the force ofA. the tableB. gravityC. inertia 2. An upward force of magnitude _____ is exerted on the _____ by the table.A. 6N/tableB. 5N/tableC. 5N/bookD. 6N/book3. Do the downward force in Part A and the upward force in Part B constitute a 3rd law pair?A. yesB. no4. The reaction to the force in Part A is a force of magnitude_____, exerted on the _____ by the _____. Its direction is _____.A. 5N/ Earth/ Book/ UpwardB. 5N/ Book/ Table/ UpwardC. 5N/ Book/ Earth/ UpwardD. 5N/ Earth/ Book/ Downward5. The reaction to the force inPart B is a force of magnitude _____, exerted on the _____ by the_____. Its direction is _____.A. 5N/ Table/ Book/ UpwardB. 5N/ Table/ Earth/ UpwardC. 5N/ Book/ Table/ UpwardD. 5N/ Table/ Book/DownwardE. 5N/ Earth/ Book/ Downard6. Which of Newton's law dictates that the forces in Parts A and B are equal and opposite?A. Newton's 1st or 2nd lawB. Newton's 3rd law7. Which of Newton's laws dictates that the forces in Parts B and E are equal and opposite?A. Newton's 1st or 2nd lawB. Newton's 3rd law

1. An object cannot remain at rest unless which of the following holds?a. The net force acting on it is zero.b. The net force acting on it is constant and nonzero.c. There are no forces at all acting on it.d. There is only one force acting on it.which one is the answer? there can be more than one answer....2. If a block is moving to the left at a constant velocity, what can one conclude?a. There is exactly one force applied to the block.b. The net force applied to the block is directed to the left.c. The net force applied to the block is zero.d. There must be no forces at all applied to the block.which one is the answer? there can be more than one answer.....

1. A block of mass 2 kg is acted upon by two forces: 3 N (directed to the left) and 4 N (directed to the right). What can you say about the block's motion?a. It must be moving to the left.b. It must be moving to the right.c. It must be at rest.d. It could be moving to the left, moving to the right, or be instantaneously at rest.which one is the answer? there can be more than one answer......2. A massive block is being pulled along a horizontal frictionless surface by a constant horizontal force. The block must be __________.a. continuously changing directionb. moving at constant velocityc. moving with a constant nonzero accelerationd. moving with continuously increasing accelerationwhich one is the answer? there can be more than one answer.........

Consider the baby being weighed in the figure.1. What is the mass (in kg) of the child and basket if a scale reading of 56N is observed?2. What is the tension T1 in the cord attaching the baby to the scale?3. What is the tension T2 in the cord attaching the scale to the ceiling, if the scale has a mass of 0.485 kg?

A) An object cannot remain at rest unless which of the following holds?a) The net force acting on it is zero.b) The net force acting on it is constant and nonzero. c) There are no forces at all acting on it.d) There is only one force acting on it. B) If a block is moving to the left at a constant velocity, what can one conclude? a) There is exactly one force applied to the block.b) The net force applied to the block is directed to the left.c) The net force applied to the block is zero.d) There must be no forces at all applied to the block.C) A block of mass 2kg is acted upon by two forces: 3N (directed to the left) and 4N (directed to the right). What can you say about the block's motion?a) It must be moving to the left.b) It must be moving to the right.c) It must be at rest. d) It could be moving to the left, moving to the right, or be instantaneously at rest. D) A massive block is being pulled along a horizontal frictionless surface by a constant horizontal force. The block must be __________. a) continuously changing directionb) moving at a constant velocityc) moving with a constant nonzero accelerationd) moving with continuously increasing accelerationE) Two forces, of magnitude 4N and 10N, are applied to an object. The relative direction of the forces is unknown. The net force acting on the object __________. Check all that apply.a) cannot have a magnitude equal to 5N b) cannot have a magnitude equal to 10N c) cannot have the same direction as the force with magnitude 10Nd) must have a magnitude greater than 10N

A hand pushes three identical bricks as shown. The bricks are moving to the left and speeding up. System A consists of two bricks stacked together. System B consists of a single brick. System C consists of all three bricks. There is friction between the bricks and the table.a) Draw and label separate free-body diagrams for systems A and B.b) The vector representing the acceleration of system A is shown below. Draw the acceleration vectors for systems B and C using the same scale (shown incorrectly in figure). Explain.c) The vector representing the net force on system A is shown below. Draw the net force vectors for systems B and C using the same scale. Explain.d) The vector representing the frictional force on system A is shown below. Draw the remaining force vectors using the same scale. Explain how you knew to draw the force vectors as you did.

a) In the definition of weight, W = mg, the mass m refers to a gravitational mass. True or Falseb) For a cart moving along a track with the x-axis parallel to the track, all forces acting on the cart must be along the x-direction. True or False

A heavy box is in the back of a truck. the truck is accelerating to the right. Apply your analysis to the box.a) draw a motion diagramb) draw a force identification diagramc) draw a free body diagram

Your car is accelerating to the right from a stop.a. Identify all forces acting on the object and draw the free-body diagram.b, Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The exact will not be graded but the relative length of one to the other will be graded.

Your car is skidding to a stop from a high speed. Part A Identify all forces acting on the object.Check all that apply.Weight, wTension, TKinetic friction force, fkAir resistance, DThrust, FthrustNormal force, nPart B Draw a free-body diagram of the car.

The 10 kg block in the figure is tied to the wall with a rope. It sits on top of the 2.0 kg block. The lower block is pulled to the right with a tension force of 20 N. The coefficient of kinetic friction at both the lower and upper surfaces of the 2.0 kg block is μk = 0.38. Part A. What is the tension in the rope holding the 1.0 kg block to the wall? Part B. What is the acceleration of the 2.0 kg block?

Identify the long-range forces acting on the crate. Check all that apply. weight-- spring force--tension-- normal force-- static friction-- kinetic friction-- drag-- thrust

If a car is moving to the left with constant velocity, one can conclude thata) there must be no forces applied to the car.b) the net force applied to the car is directed to the left.c) the net force applied to the car is zero.d) there is exactly one force applied to the car.

An object cannot remain at rest unlessa) there are no forces at all acting on it.b) the net force acting on it is zero.c) the net force acting on it is constant.d) there is only one force acting on it.

To understand the meaning and the basic applications of Newton's 1st and 2nd laws. In this problem, you are given a diagram (Figure 1) representing the motion of an object--a motion diagram. The dots represent the object's position at moments separated by equal intervals of time. The dots are connected by arrows representing the object's average velocity during the corresponding time interval. Your goal is to use this motion diagram to determine the direction of the net force acting on the object. You will then determine which force diagrams and which situations may correspond to such a motion. Which of these situations describe the motion shown in the motion diagram at point C?

A baseball player is sliding into second base. Identify the forces on the baseball player. Check all that apply.a) Thrustb) Kinetic frictionc) Static frictiond) Tensione) Weightf) Normal force

A car and a dump truck are involved in an accident and crash into each other. Assuming the only force acting is the force of collision, which one experiences the most force during the crash - the car or the dump truck? 1) It depends on which one is moving faster. 2) The dump truck. 3) The car. 4) It depends on the angle of their collision 5) They experience the same size force.

You swing a bat and hit a heavy box with a force of 1500 N. The force the box exerts on the bat isA. less than 1500 N if the box moves.B. greater than 1500 N if the box moves.C. greater than 1500 N if the bat bounces back.D. exactly 1500 N only if the box does not move.E. exactly 1500 N whether or not the box moves.

1. A string is tied to a book and pulled lightly as shown in the diagram. The book remains in contact with the table and does not move. a. Draw a free-body diagram for the book. Label each of the forces exerted on the book as you were instructed in the tutorial Forces. b. How do the forces exerted on the book, in this case, compare to the forces exerted on the book when the string is not present?

Consider a book on top of a level table while the book is being pressed straight down by a hand.i. In the space below, draw a free-body diagram for the book. Label the forces.ii. How do the forces exerted on the book in this case compare to the forces exerted on the book when the hand is not pushing? List any forces that are the same (i.e. same type of force, same direction, and same magnitude) in both cases. Make a separate list of forces that change (or are not present) when the hand is pressing down on the book.iii. Is the magnitude of the weight equal to the magnitude of the normal force exerted by the table on the book in both cases? How can you tell?

In Newton's second law, F = ma, the mass m is a gravitational mass.a) Trueb) False

In the definition of weight, W = mg, the mass m refers to an inertial mass.True or falseFor a cart moving along a track with the x-axis parallel to the track, all forces acting on the cart must be along the x-direction.True or falseIf the cart is moving on the positive x axis, the x-component of velocity must be positive.True or False

Due to the drivers not paying attention, a small car and a big truck collide; both are initially moving at 35 mph towards each other. Compare the magnitude of the force the truck exerts on the car to the magnitude of the force the car exerts on the truck. Which force is greater? Which vehicle would you rather ride in? Describe why you made your choice.

a. Suppose you have a tug of war with a friend who is the same size and weight as you are. You both pull as hard as you can, but neither of you seems to be winning. You move a little one way or the other, but mostly you are just at rest (although sweating some). Compare the magnitude of the force exerted by you on your friend, with the magnitude of the force exerted by your friend on you. Are they the same or different? If they are not the same, which is larger? Why or why not? b. Now you have a tug of war with your kid brother (who is much smaller and lighter than you). Again you both pull hard but end in a standoff with neither of you moving much. In this situation compare the magnitude of the force you exert on your brother with the magnitude of the force he exerts on you. Are they the same or different? If they are not the same, which is larger? Why or why not? c. The next tug of war is still with your kid brother but he is now standing on his skateboard. You can now make him roll across the floor (with a constant speed) when you pull hard. In this situation compare the magnitude of the force you exert on your brother with the magnitude of the force he exerts on you. Are they the same or different? If they are not the same, which is larger? Why or why not?

Newton's second law states: sum of forces = mass × acceleration. If a known force was applied to an object with a known mass, how would you predict that object's acceleration? A) acceleration = mass × sum of forces B) acceleration = mass / sum of forces C) acceleration = sum of forces / mass D) Newton's second law is irrelevant for solving this problem.

The figure shows an acceleration-versus-force graph for three objects pulled by rubber bands. The mass of object 2 is 0.30 kg.What is the mass of object 1?

A 20,000 kg rocket has a rocket motor that generates 3.0 x 105 N of thrust. (a) What is the rocket's initial upward acceleration? (b) At an altitude of 5000 m the rocket's acceleration has increased to 6.0 m/s2. What mass of fuel has it burned?

Figure 1 shows an acceleration-versus-force graph for three objects pulled by rubber bands. The mass of object 2 is 0.40kg.Part A) What is the mass of object 1?Part B) What is the mass of object 3?

A rocket is being launched straight up. Air resistance is not negligible. Draw a free body diagram.

Consider the truss shown in the diagram. The applied forces are P =570 lb and P2 = 430 lb and the distance is d=8.50 ft. A. For this truss, what joint is the best place to start the analysis?B. Find all forces in all joints C, D, B C. What are the forces in the two members CB and CD? D. Having found FCD in the analysis of joint C, there are now only two unknown forces acting on joint. Determine the two unknown forces on joint D. P, P, 3

YOU hold a picture motionless against a wall by pressing on it.Identify all forces acting on the object and draw the free-body diagram.Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded.

A chain is suspended by a rope as shown at right. The chain is composed of four identical links and does not move. Rank, from largest to smallest, the magnitudes of all the forces on your diagrams. Explain your reasoning, including how you used Newton's second and third laws.

Now we draw the line of action for each force. This is the line along which the force acts, and it extends in both directions. The line of action for force F1 is shown here as a dashed line. Draw the line of action for the other four forces in the diagram.Next we find the shortest distance. This is the perpendicular distance from the line of action to the pivot point, and is shown for force F1 labeled as d1. You should show this distance for the other four forces

Two forces, of magnitude 4 N and 10 N, are applied to an object. The relative direction of the forces is unknown. The net force acting on the object __________.Check all that apply.cannot have a magnitude equal to 5 Ncannot have a magnitude equal to 10 Ncannot have the same direction as the force with magnitude 10 Nmust have a magnitude greater than 10 N

A gymnast has just landed on a trampoline. She's still moving downward as the trampoline stretches. Draw a free-body diagram for the gymnast. Draw the force vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded.

Weight is actually just a one-word nickname for the force of gravity acting on an object. Many physics educators don't like the term since it can confuse in many students–but the term is very common, and you are likely to encounter it in your physics study materials including, probably, your textbook.What is the correct formula for the weight w of an object? Assume that the object's mass is m, the magnitude of its acceleration is a, and the local acceleration due to gravity is g.Select the best answer from the choices provided.A. w = m(g•A)B. w = maC. m(g+a)D. w = mE. w = mg

Which of the following quantities would be acceptable representations of weight? Check all that apply. a) 12.0 lb b) 0.34 g c) 120 kg d) 1600 kN e) 0.34 m f) 411 cm

A 10-kg sign is held by two ropes as shown in the figure below. What is the tension on rope A? a. 44 N b. 88 N c. 69 N d. 98 N e. 72 N

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