Physics Physics Practice Problems Solutions Library

Vector Addition & Subtraction Solutions Library

Access 60 Vector Addition & Subtraction video and text solutions to help you complete your homework.

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60 solutions

Vector Addition & Subtraction

Q. A 650-N force acts in a northwesterly direction.A second 650-N force must be exerted in what direction so that the resultant of the two forces poin...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A plumber steps out of his truck, walks 66 m east and 35 m south, and then takes an elevator 12 m into the subbasement of a building where a bad le...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Three vectors are shown in Fig. 3-38. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. Give the resultant in ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Given the vectors A and B shown in the figure, determine B - A. Determine A - B without using your answer in part A.

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Determine the vector A - C, given the vectors A and C in the figure.

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. For the vectors shown in the figure, determine B - 2A. Vector magnitudes are given in arbitrary units.

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. For the vectors given in the figure, determine(a) A - B + C(b) A + B - C(c) C - A - B

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. The summit of a mountain, 2450 m above base camp, is measured on a map to be 4580 m horizontally from the camp in a direction 32.4° west of north. ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. You are given a vector in the xy plane that has a magnitude of 88.0 units and a y component of -52.0 units.What are the two possibilities for its x...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A car is driven 225 km west and then 78 km southwest 45.What is the magnitude of displacement of the car from the point of origin?What is the direc...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A delivery truck travels 31 blocks north, 18 blocks east, and 25 blocks south. Assume the blocks are equal length.What is the magnitude of its fina...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A postal employee drives a delivery truck along the route shown in the figure .You may want to review (Pages 10 - 14). For related problemsolving...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Vector A is 2.80 cm long and is 60.0B above the x-axis in the first quadrant. Vector cm is 1.90 cm long and is 60.0B below the x-axis i...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. An explorer in Antarctica leaves his shelter during a whiteout. He takes 37 steps northeast, then 86 steps at an angle 60 north of...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A ship leaves the island of Guam and sails 285 km at 61.0 north of west.In which direction must it now head so that its resultant ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. While following a treasure map, you start at an old oak tree. You first walk 855 m directly south, then turn and walk 1.27 km at 3...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A disoriented physics professor drives 3.45 km north, then 2.45 km west, and then 1.50 km south.Find the magnitude of th...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Two workers pull horizontally on a heavy box, but one pulls twice as hard as the other. The larger pull is directed at 21.0 west of nort...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A plane leaves the airport in Galisteo and flies 165  km at 66.0 east of north; then it changes direction to fly 250  km at 46.0 south of east, aft...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Two horses pull horizontally on ropes attached to a stump. The two forces exttip{vec {F_1}}{F_1_vec} = 1310 N and 2 that they apply to the stump ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Two forces have the same magnitude F.What is the angle between the two vectors if their sum has a magnitude of 2F?What is the angle between the two...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Vector A⃗ vec{A} has components Ax = 1.45 cm, Ay = 2.20 cm; vector B⃗ vec{B}has components Bx= 4.00 cm, By= -3.60 cm.Find the x-component of the ve...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. You leave the airport in College Station and fly 24.0 km in a direction 34.0° south of east. You then fly 46.0 km  m kmdue north.How far must you t...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. You are lost at night in a large, open field. Your GPS tell you that you are 122.0 m from your truck, in a direction 58.0 east of south. You ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors shown in...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 61.0 . Dog A exerts a force of 272 N , and dog B exerts a fo...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, then 3.50 km southeast, and then an additional distance in an unkno...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. On a training flight, a student pilot flies from Lincoln, Nebraska to Clarinda, Iowa, then to St. Joseph, Missouri, and then to Manhattan, Kansas ....

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. You are hungry and decide to go to your favorite neighborhood fast-food restaurant. You leave your apartment and take the elevator 10 flights down ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walk...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A spelunker is surveying a cave. She follows a passage that takes her a distance 181 m straight west, then a distance 211 m in a direction 45.0 ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. For the vectors A and B in the figure , use a scale drawing to find the magnitude of the vector sum A+B .Find the magnitude of t...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A spelunker is surveying a cave. She follows a passage 160 m straight west, then 270 m in a direction 45 east of south, and then 280 ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A postal employee drives a delivery truck over the route shown in the figure .Use the method of components to determine the magnitude of her result...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. The minute hand on a watch is 3.00 cm in length. What is the displacement vector of the tip of the minute handFrom 8:00 to 8:20 a.m.?From 8:00 to ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. The figure shows four electrical charges located at the corners of a rectangle. Like charges, you will recall, repel each other while opposite char...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 510 paces, the...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. While vacationing in the mountains you do some hiking. In the morning, your displacement is (2300 m east) + (4000 m north) + (200 m vertical). Cont...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. You go to an amusement park with your friend Betty, who wants to ride the 40-m-diameter Ferris wheel. She starts the ride at the lowest point of a ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Ruth sets out to visit her friend Ward, who lives 40 mi north and 100 mi east of her. She starts by driving east, but after 50 mi ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. In an assembly operation illustrated in the figure, a robot moves an object first straight upward and then also to the east around an arc forming o...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Vector A S has a magnitude of 29 units and points in the positive y direction. When vector B S is added to A S the resultant vector A S 1 B S point...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Vector A S has x and y components of 28.70 cm and 15.0 cm respectively vector B S has x and y components of 13.2 cm and 26.60 cm respectively. If A...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude of 150 cm and makes an angle of 120° with the ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. While exploring a cave a spelunker starts at the entrance and moves the following distances in a horizontal plane. She goes 75.0 m north 250 m east...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direc...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Your dog is running around the grass in your back yard. He undergoes successive displacements 3.50 m south 8.20 m northeast and 15.0 m west. What i...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A novice golfer on the green takes three strokes to sink the ball. The successive displacements of the ball are 4.00 m to the north 2.00 m northeas...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. The helicopter view in Fig. P3.29 (page 74) shows two people pulling on a stubborn mule. The person on the right pulls with a force F S 1 of magnit...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A force F S 1 of magnitude 6.00 units acts on an object at the origin in a direction u 5 30.0° above the positive x-axis (Fig. P3.10). A second for...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. The displacement vectors A S and B S shown in Figure P3.11 both have magnitudes of 3.00 m. The direction of vector A S is u 5 30.0°. Find graphical...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Three displacements are A S 5 200 m due south B S 5 250 m due west and C S 5 150 m at 30.0° east of north. (a) Construct a separate diagram for eac...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A roller-coaster car moves 200 ft horizontally and then rises 135 ft at an angle of 30.0° above the horizontal. It next travels 135 ft at an angle ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A plane flies from base camp to Lake A 280 km away in the direction 20.0° north of east. After dropping off supplies it flies to Lake B which is 19...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. A girl delivering newspapers covers her route by traveling 3.00 blocks west, 4.00 blocks north, and then 6.00 blocks east. (a) What is her resultan...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Figure OQ3.3 shows two vectors D S 1 and D S 2. Which of the possibilities (a) through (d) is the vector D S 2 2 2D S 1 or (e) is it none of them?

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. The magnitude of vector A S is 8 km and the magnitude of B S is 6 km. Which of the following are possible values for the magnitude of A S 1 B S ? C...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. An air-traffic controller observes two aircraft on his radar screen. The first is at altitude 800 m horizontal distance 19.2 km and 25.0° south of ...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Two vectors A S and B S have precisely equal magnitudes. For the magnitude of A S 1 B S to be 100 times larger than the magnitude of A S 2 B S what...

Solved • Oct 29, 2018

Vector Addition & Subtraction

Q. Two vectors A and B have (x, y) components of (0, 1) and (-1, 3) respectively.  What are the components of the sum of these two vectors? A) (1,4) ...

Solved • Jan 18, 2017