1. A certain pendulum consists of a 2
A certain pendulum consists of a 2.0-kg mass swinging at the end of a string (length = 1.5 m). At the lowest point in the swing the tension in the string is equal to 40 N. To what maximum height above this lowest point will the mass rise during its oscillation? (g = 9.8m/s2) Select the correct answer.
78 cm
32 cm
60 cm
54 cm
33 cm 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. 55 cm/s 52 cm/s 50 cm/s 53 cm/s 63 cm/s
A block (mass = 5.0 kg) sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 100 N/m) which has its other end fixed. If the maximum distance the block slides from the equilibrium position is equal to 21 cm, what is the speed of the block at an instant when it is a distance of 17 cm from the equilibrium position? Select the correct answer.
55 cm/s
52 cm/s
50 cm/s
53 cm/s
63 cm/s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. A 18-kg projectile is launched with an initial vertical speed of 18 m/s. It rises to a maximum height of 14 m above the launch point. How much work is done by the dissipative (air) resistive force on the projectile during this ascent? (g = 9.8m/s2) Select the correct answer. kJ kJ kJ kJ kJ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. A 4. 0-kg block slides down a fixed, rough curved track
A 4.0-kg block slides down a fixed, rough curved track. The block has a speed of 3.0 m/s after its height above a horizontal surface has decreased by 1.5 m. Assume the block starts from rest. How much work is done on the block by the force of friction during this descent? (g = 9.8m/s2) Select the correct answer.
- 41 J
- 44 J
- 39 J
- 33 J
- 28 J 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. A spring with spring constant k = 500 N/m is extended 18 cm from its equilibrium position. A spring with 6.0 cm of extension from equilibrium will have the same potential energy as the first spring if its spring constant is _____ . Select the correct answer.
4500 N/m
500 N/m
1500 N/m
250 N/m
125 N/m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

6. A 1. 40-kg object tied to the end of a 2
A 1.40-kg object tied to the end of a 2.5-m string swings as a pendulum. At the lowest point of its swing, the object has a kinetic energy of 19 J. Determine the speed of the object at the instant when the string makes an angle of 31° with the vertical. (g = 9.8m/s2) Select the correct answer.
4.5 m/s
9.0 m/s
2.6 m/s
6.7 m/s
3.3 m/s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

7. A 0. 60-kg object is suspended from the ceiling at the end of a 3
A 0.60-kg object is suspended from the ceiling at the end of a 3.0-m string. When pulled to the side and released, it has a speed of 4.0 m/s at the lowest point of its path. What maximum angle does the string make with the vertical as the object swings up? (g = 9.8m/s2) Select the correct answer.
43°
42°
28°
83° 6° 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

8. A 19.0-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 2.0 kN/m). The block is initially at rest in its equilibrium position when a force of magnitude P acting parallel to the surface is applied to the block, as shown. When the block is 5.0 cm from the equilibrium position, it has a speed of 0.70 m/s. How much work is done on the block by the force P as the block moves the 5.0 cm? Select the correct answer.
7.2 J
1.4 J
3.8 J
2.7 J
7.3 J 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

9. A 26-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 0.30 kN/m). The block is initially at rest in its equilibrium position when a force (magnitude P = 80 N) acting parallel to the surface is applied to the block, as shown. What is the speed of the block when it is 12 cm from its equilibrium position? Select the correct answer.
0.76 m/s
0.94 m/s
0.92 m/s
1.09 m/s
0.93 m/s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

10. A spring (k = 100 N/m) is at the bottom of a frictionless plane that makes an angle of 45° with the horizontal. The upper end of the spring is depressed 0.40 m, and a 1.0-kg block is placed against the depressed spring. The system is then released from rest. What is the kinetic energy of the block at the instant it has traveled 0.40 m and the spring has returned to its uncompressed length? (g = 9.8m/s2) Select the correct answer.
5.2 J
5.5 J
3.8 J
6.1 J
5.6 J 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

11. As a 0.6-kg object moves from point A to point B, it is acted upon by a single conservative force which does -15 J of work during this motion. At point A the speed of the particle is 3.0 m/s and the potential energy associated with the force is + 50 J. What is the potential energy at point B? Select the correct answer.
+ 65 J
+ 35 J
+ 30 J
+ 54 J
+ 27 J 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

12. A 17-kg block on a horizontal surface is attached to a light spring (force constant = 2.0 kN/m). The block is pulled 20 cm to the right from its equilibrium position and released from rest. When the block has moved 8.0 cm toward its equilibrium position, its kinetic energy is 37 J. How much work is done by the frictional force on the block as it moves through the 8.0 cm? Select the correct answer.
- 2.6 J
- 5.6 J
- 8.5 J
- 5.8 J
- 13 J 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

13. A 3.0-kg block sliding on a rough horizontal surface is attached to one end of a horizontal spring (k = 300 N/m) which has its other end fixed. The block passes through the equilibrium position with a speed of 7.3 m/s and first comes to rest at a displacement of 0.70 m from equilibrium. What is the coefficient of kinetic friction between the block and the horizontal surface? (g = 9.8m/s2) Select the correct answer.
0.31
0.49
0.24
0.36
0.89 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50