Chapter 5 and 6 Test Review

1. What net force is required to accelerate a 98.0 N object 3.00 m/s2?

2. A 60.0 kg object is dropped from a height of 12.0 m above the surface of the water.

1.  What is the velocity of the object as it enters the water?
2. If it comes to rest 3.50 m below the surface of the water, what is its acceleration in the water?
3. What net force does the water exert on the object to bring it to rest?

3. What applied force is required to move a 25.0 kg object along a horizontal surface where the coefficient of friction is 0.350, if

1. the object moves with constant velocity?
2. the object is accelerated at 2.00 m/s2?

4. A force of 500.0 N is required to move a 150.0 kg object along a level surface at a constant velocity.  What is the coefficient of friction?

5. A 55.0 kg object rests on a level surface.  What force is necessary to apply to accelerate it upward at 5.00 m/s2?

6. An 80.0 N force acts at 65.0° and a 100.0 N force acts at 160.0°.

1. What is the resultant force?
2. What third force would produce equilibrium?

7.  What is the resultant force of the following three forces: 1) 45.00 N @ 120.0°; 2) 70.00 N @ 200.0°; and 3) 85.00 N @ 320.0°.

8. A 90.00 kg object is suspended from the center of a rope.  

1. If the angle between the sections of rope is 110.0°, what is the tension in the rope?
2. If the tension in the rope is 500.0 N, what is the angle between the sections of rope?

9. Add the following vectors:  40.0 N @ 60.0° and 70.0 N @ 300.0°.

10. Diana pushes the handle of a grocery cart at an angle of 30.0° below the horizontal.

1. If she pushes with a 20.0 N force, what are the horizontal and vertical components of her force?
2. If the cart has a mass of 40.0 kg, what will its acceleration be? (Ignore friction)
3. How can she get more acceleration without increasing her 20.0 N force?

11. Two forces are acting on object:  45.00 N @ 40.00° and 65.00 N @ 150.0°.

1. What is the resultant force?
2. What is the equilibrant force?

12. A 20.0 kg mass is suspended from the center of a rope.

1. If the angle between the ends of the rope is 120.0°, what is the tension in the rope?
2. If the tension in the rope is 120.0 N, what is the angle between the ends of the rope?

13. A 15.0 kg is placed on a plane with angle of 35.0°.

1. If the object slides at a constant velocity, what is the coefficient of friction?
2. What applied force is necessary to accelerate the object up the plane at 2.00 m/s2?

14. Using the following picture:

1. What is the acceleration?
2. What is the tension?

15. Using the following picture:

1. What is the acceleration?
2. What is the tension between the top 2 blocks?
3. What is the tension between the bottom 2 blocks?

16. Using the following picture:

1. What is the acceleration?
2. What is the tension?

17.  If the box starts from rest, how long will it take to travel 10.0 m along the incline?

Answers:         1) 30.0 N  2) a. -15.3 m/s; b. 33.6 m/s2; c. 2020 N  3) a. 85.8 N; b. 136 N  4) 0.340  5) 814 N  6) a. 123 N@119.4°; b. 123 N@299.4°  7) 45.8 N@239.6°                     8) a. 769 N; b. 56.2°  9) 60.8 N@334.7°  10) a. Fx=17.3 N, Fy=10.0 N; b. 0.433 m/s2     c. smaller angle  11) a. 65.2 N@109.5°; b. 65.2 N@289.5°  12) a.196 N; b. 70.5°  13) a. 0.700; b. 199 N  14) a. 2.79 m/s2; b. 126 N  15) a. 6.87 m/s2; b. 333 N; c. 167 N  16) a. 2.16 m/s2; b. 76.4 N  17) 2.14 s