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Springs & Elastic Potential Energy Solutions Library

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77 solutions

Springs & Elastic Potential Energy

Q. A massless spring of constant k = 78.4 N/m is fixed on the left side of a level track. A block of mass m = 0.50 kg is pressed against the spring an...

Solved • Feb 15, 2019

Springs & Elastic Potential Energy

Q. The mass exttip{m}{m} = 5.5 kg resting on a frictionless horizontal table is connected to a horizontal spring with stiffness constant exttip{k}{...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A spring (80 N/m ) has an equilibrium length of 1.00 m. The spring is compressed to a length of 0.50 m and a mass of 2.1 kg is placed at its free ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 2.1 kg block slides along a horizontal surface with a coefficient of kinetic friction exttip{mu _{ m k}}{mu_k} = 0.31. The block has a speed e...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. Consider the track shown in the figure. The section AB is one quadrant of a circle of radius 2.0 m and is frictionless. B to C is a horizontal span...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. It takes 26 N of force to compress a very light spring 18 cm. The spring is placed parallel to a table and its ends are firmly attached...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. What should be the spring constant k of a spring designed to bring a 1300 kg car to rest from a speed of 90 km/h so that the occupants undergo a ma...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. An engineer is designing a spring to be placed at the bottom of an elevator shaft.If the elevator cable breaks when the elevator is at a height h a...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 60 kg bungee jumper leaps from a bridge. She is tied to a bungee cord that is 13 m long when unstretched, and falls a total of 32 m .Calculate ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 71 kg trampoline artist jumps vertically upward from the top of a platform with a speed of 4.3 m/s . How fast is he going as he lands on the tra...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A vertical spring (ignore its mass), whose spring constant is 880 N/m , is attached to a table and is compressed down by 0.170 m .What upward speed...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A spring has a spring constant k of 82.0 N/m. How much must this spring be compressed to store 40.0 J of potential energy?

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 1300 kg car moving on a horizontal surface has speed exttip{v}{v} = 80 km/h when it strikes a horizontal coiled spring and is brought to rest in ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. You are asked to design a spring that will give a 1160 kg satellite a speed of 2.85 m/s relative to an orbiting space shuttle. Your spring is to ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A spring of negligible mass has force constant exttip{k}{k} = 1700 N/m. You may want to review (Pages 212 - 217).For related problemsol...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 0.160 kg block of ice is placed against a horizontal, compressed spring mounted on a horizontal tabletop that is 1.30 m above the floor. The spri...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 3.05 kg fish is attached to the lower end of a vertical spring that has negligible mass and force constant 880 N/m . The spring initially is nei...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A basket of negligible weight hangs from a vertical spring scale of force constant 1500 N/m .If you suddenly put a 3.00 kg adobe brick in the bask...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 0.500-kg block, attached to a spring with length 0.60 m and force constant 40.0 N/m, is at rest with the back of the block at point exttip{A}{A...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A wooden block with mass 1.55 kg is placed against a compressed spring at the bottom of a slope inclined at an angle of 31.0 (point A). When the ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (the figure ). When...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 13.0 kg stone slides down a snow-covered hill (the figure ), leaving point exttip{A}{A} with a speed of 12.0 m/s . There is no friction on the ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A bungee cord is 30.0 m long and, when stretched a distance exttip{x}{x}, it exerts a restoring force of magnitude exttip{kx}{kx}. Your father-in...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. The Great Sandini is a 60-kg circus performer who is shot from a cannon (actually a spring gun). You dont find many men of his caliber, so you he...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, compressing it 0.220 m. When the block is rele...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A piece of cheese with a mass of 1.21 kg is placed on a vertical spring of negligible mass and a force constant exttip{k}{k} = 2100 N/m that is ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 2.60 kg mass is pushed against a horizontal spring of force constant 26.0 N/cm on a frictionless air table. The spring is attached to the table...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. In a "worst-case" design scenario, a 2000-kg elevator with broken cables is falling at 4.00 m/s when it first contacts a cushioning spring at the b...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 2.55 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0360 m . The spring has force constant 855...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. An ideal spring of negligible mass is 13.00 cm long when nothing is attached to it. When you hang a 3.15-kg weight from it, you measure its length...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. Tendons are strong elastic fibers that attach muscles to bones. To a reasonable approximation, they obey Hookes law. In laboratory tests on a parti...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A spring stores potential energy U0 when it is compressed a distance x0 from its uncompressed length.In terms of U0, how much energy does it store ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A slingshot will shoot a 10-g pebble 22.0 m straight up.How much potential energy is stored in the slingshots rubber band?With the same potential e...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A small glider is placed against a compressed spring at the bottom of an air track that slopes upward at an angle of 41.0 above the horizontal. Th...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. An ingenious bricklayer builds a device for shooting bricks up to the top of the wall where he is working. He places a brick on a vertical compress...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A spring of negligible mass has force constant exttip{k}{k} = 860 N/m .How far must the spring be compressed for 160 J of potentia...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. An 80.0-kg man jumps from a height of 2.50 m onto a platform mounted on springs. As the springs compress, he pushes the platform down a maximum dis...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 2.00-kg package is released on a 53.1 53.1 s = 0.40 incline, 4.00 m from a long spring with force constant 120 N/m that is attached at the bottom...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. An experimental apparatus with mass m is placed on a vertical spring of negligible mass and pushed down until the spring is compressed a distance ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. On a horizontal surface, a crate with mass 50.0 kg is placed against a spring that stores 360 J of energy. The spring is released and the crate sli...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. In Figure 7.16 in the textbook a glider with mass m=0.200 kg sits on a frictionless horizontal air track, connected to a spring with force constan...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. You are an industrial engineer with a shipping company. As part of the package-handling system, a small box with mass 1.60 kg is placed ag...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. You are designing an amusement park ride. A cart with two riders moves horizontally with speed exttip{v}{v} = 5.60 m/s . You assume that the ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. Rank in order, from most to least, the elastic potential energy ( Us )a to ( Us )d stored in the springs of .

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A spring is compressed 7.0 cm.How far must you compress a spring with twice the spring constant to store the same amount of energy?

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. When a 63 kg cheerleader stands on a vertical spring, the spring compresses by 5.8 cm. when a second cheerleader stands on the shoul...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A freight company uses a compressed spring to shoot 1.90 kg packages up a 1.00-m -high frictionless ramp into a truck, as the figure shows. The ...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 56 g ice cube can slide without friction up and down a 3030 slope. The ice cube is pressed against a spring at the bottom of the slope,...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. How far must you stretch a spring with exttip{k}{k} = 1100 N/m to store 210 J of energy?

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A stretched spring stores 3.3 J of energy.How much energy will be stored if the spring is stretched three times as far?

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A student places her 410 g physics book on a frictionless table. She pushes the book against a spring, compressing the spring by 7.00 cm, then rele...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A block sliding along a horizontal frictionless surface with speed exttip{v}{v} collides with a spring and compresses it by 2.2 cm .What will b...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 13 kg runaway grocery cart runs into a spring with spring constant 250 N/m and compresses it by 61 cm .What was the speed of the cart just befo...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. As a 1.6×104 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down. The cable is attached to a spring with spring...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. The spring shown in the figure is compressed 51 cm and used to launch a 100 kg physics student. The track is frictionless until it start...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. In a physics lab experiment, a compressed spring launches a 31 g metal ball at a 35° angle. Compressing the spring 18 cm causes the ball to hit the...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. Its your birthday, and to celebrate you're going to make your first bungee jump. You stand on a bridge 120 m above a raging river and attach a 33-m...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A 1100 kg safe is 2.1 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 52 cm .What i...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 12-m-high hill, then desce...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. A spring gun shoots out a plastic ball at speed v0 . The spring is then compressed twice the distance it was on the first shot.By what factor is th...

Solved • Oct 31, 2018

Springs & Elastic Potential Energy

Q. An inclined plane of angle θ has a spring of force constant k fastened securely at the bottom so that the spring is parallel to the surface. A bloc...

Solved • Oct 19, 2018

Springs & Elastic Potential Energy

Q. An inclined plane of angle θ = 20.0° has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to t...

Solved • Oct 19, 2018

Springs & Elastic Potential Energy

Q. A daredevil plans to bungee jump from a balloon 65.0 m above the ground. He will use a uniform elastic cord, tied to a harness around his body, to ...

Solved • Oct 18, 2018

Springs & Elastic Potential Energy

Q. A block of mass M rests on a table. It is fastened to the lower end of a light, vertical spring. The upper end of the spring is fastened to a block...

Solved • Oct 18, 2018

Springs & Elastic Potential Energy

Q. A 10.0-kg block is released from rest at point A in Figure P8.63. The track is frictionless except for the portion between points B and C, which ha...

Solved • Oct 18, 2018

Springs & Elastic Potential Energy

Q. A child’s pogo stick (Fig. P8.61) stores energy in a spring with a force constant of 2.50 x  104 N/m. At position A (xA = - 0.100  m), the spring c...

Solved • Oct 18, 2018

Springs & Elastic Potential Energy

Q. A 200-g block is pressed against a spring of force constant 1.40 kN/m until the block compresses the spring 10.0  cm. The spring rests at the botto...

Solved • Oct 18, 2018

Springs & Elastic Potential Energy

Q. A 1.50-kg object is held 1.20 m above a relaxed massless, vertical spring with a force constant of 320 N/m. The object is dropped onto the spring.(...

Solved • Oct 18, 2018

Springs & Elastic Potential Energy

Q. A toy cannon uses a spring to project a 5.30-g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/...

Solved • Oct 18, 2018

Springs & Elastic Potential Energy

Q. A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure P8.15. The block is pulled to a position xi = ...

Solved • Oct 15, 2018

Springs & Elastic Potential Energy

Q. A 205 kg block is released at a 6.3 m height as shown. The track is frictionless. The block travels down the track, hits a spring of force constant...

Solved • Oct 5, 2017

Springs & Elastic Potential Energy

Q. It takes 4.36 J of work to stretch a Hooke’s-law spring 7.54 cm from its unstressed length. How much the extra work is required to stretch it an ad...

Solved • Jun 5, 2017

Springs & Elastic Potential Energy

Q. A 1.86-kg block is held in place against the spring by an 81-N horizontal external force (see the figure). The external force is removed, and the b...

Solved • Mar 3, 2017

Springs & Elastic Potential Energy

Q. When an object at the end of a spring compresses that spring by some distance, the object gains a potential energy of (1/2)kd2, where k is known as...

Solved • Feb 20, 2017

Springs & Elastic Potential Energy

Q. A spring with force constant 720 N/m has one end attached to a wall. A 5.00 kg block on the floor is pushed against the spring, compressing it 5.00...

Solved • Jan 30, 2017

Springs & Elastic Potential Energy

Q. A small rock block with mass 0.400 kg is placed against a compressed spring at the bottom of a 37.0° incline. The compressed spring has 50.0 J of e...

Solved • Jan 27, 2017

Springs & Elastic Potential Energy

Q. A box with mass 5.00 kg is placed against a compressed spring. The spring is released and the box slides 4.00 m along a horizontal surface before c...

Solved • Jan 26, 2017