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21. The diagram shows a 0.12-kg square block at four positions along a track. Th

ID: 1397027 • Letter: 2

Question

21.

The diagram shows a 0.12-kg square block at four positions along a track. The track is frictionless between points A and B. Elsewhere, the coefficient of static friction on the block is 0.26.

Initially, the block is held in place against a spring by a horizontal external force of magnitude 35 N. Then the external force is removed, and the block is projected forward with speed V1=1.2m/s. The block descends a ramp and has speed V2=1.4m/s at the bottom. At point C, its speed is V3=1.4m/s. The block stops at point D.

What is the initial compression of the spring?

0.99 cm

0.49 cm

0.26 cm

0.67 cm

0.18 cm

36.

The diagram shows a 0.74-kg square block at four positions along a track. The track is frictionless between points A and B. Elsewhere, the coefficient of static friction on the block is 0.36.

Initially, the block is held in place against a spring by a horizontal external force of magnitude 29 N. Then the external force is removed, and the block is projected forward with speed V1=1.2m/s. The block descends a ramp and has speed V2=1.9m/s at the bottom. At point C, its speed is V3=1.4m/s. The block stops at point D.

What is the height h of the ramp?

2.6 m

82 cm

1.5 m

34 cm

11 cm

37.

1.33h

h

h/2

L

39.

A total of 55 J of work is needed to stretch a spring from x = 0.40m to x = 2.7m , in which x is displacement from equilibrium. What is the value of the spring constant?

33 N/m

49 N/m

24 N/m

15 N/m

40.

A mass of 9.22 kg gains 506 J of gravitational potential energy. To what height was it lifted?

55 m

27 m

4.6 m

5.6 m

21.

The diagram shows a 0.12-kg square block at four positions along a track. The track is frictionless between points A and B. Elsewhere, the coefficient of static friction on the block is 0.26.

Initially, the block is held in place against a spring by a horizontal external force of magnitude 35 N. Then the external force is removed, and the block is projected forward with speed V1=1.2m/s. The block descends a ramp and has speed V2=1.4m/s at the bottom. At point C, its speed is V3=1.4m/s. The block stops at point D.

What is the initial compression of the spring?

0.99 cm

0.49 cm

0.26 cm

0.67 cm

0.18 cm

36.

The diagram shows a 0.74-kg square block at four positions along a track. The track is frictionless between points A and B. Elsewhere, the coefficient of static friction on the block is 0.36.

Initially, the block is held in place against a spring by a horizontal external force of magnitude 29 N. Then the external force is removed, and the block is projected forward with speed V1=1.2m/s. The block descends a ramp and has speed V2=1.9m/s at the bottom. At point C, its speed is V3=1.4m/s. The block stops at point D.

What is the height h of the ramp?

2.6 m

82 cm

1.5 m

34 cm

11 cm

Explanation / Answer

40. answer

mass m = 9.22 kg

gravitational PE = 506 J

height = ?

PE = m X g X h

506 = 9.22 X 9.8 X h

then h = 506/90.356

h = 5.59 m this height will be lifted.

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