Physics Physics Practice Problems Solutions Library

# Vector Addition & Subtraction Solutions Library

### Browse Solutions

60 solutions

#### 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

#### 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

#### 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

#### 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

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

Solved • Oct 29, 2018

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

Solved • Oct 29, 2018

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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