Physics equations/07-Work and Energy/Q:cart2/More practice

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1

The spring constant is 628 N/m, and the initial compression is 0.176 m What is the mass if the cart reaches a height of 1.86m before coming to rest?
Roller coaster energy conservation.jpg

a) 0.3 kg
b) 0.35 kg
c) 0.4 kg
d) 0.46 kg
e) 0.53 kg

2

The cart has a mass of 3.23 kg. It is moving at a speed of 2.03 m/s when it is at a height of 2.92 m. If the spring constant was 471 N/m, what was the initial compression?
Roller coaster energy conservation.jpg

a) 0.43 meters.
b) 0.49 meters.
c) 0.56 meters.
d) 0.65 meters.
e) 0.75 meters.

3

You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 5.473 m/s when you encounter a hill of height 1.373 m. What is your speed at the top of the hill?

a) 1.22 m.
b) 1.48 m.
c) 1.74 m.
d) 2.01 m.
e) 2.27 m.

4

The spring constant is 792 N/m, and the initial compression is 0.192 m What is the mass if the cart reaches a height of 1.58m before coming to rest?
Roller coaster energy conservation.jpg

a) 0.94 kg
b) 1.08 kg
c) 1.25 kg
d) 1.43 kg
e) 1.65 kg

5

The cart has a mass of 3.17 kg. It is moving at a speed of 2.18 m/s when it is at a height of 2.77 m. If the spring constant was 534 N/m, what was the initial compression?
Roller coaster energy conservation.jpg

a) 0.34 meters.
b) 0.39 meters.
c) 0.45 meters.
d) 0.51 meters.
e) 0.59 meters.

6

You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 5.232 m/s when you encounter a hill of height 1.281 m. What is your speed at the top of the hill?

a) 1.05 m.
b) 1.28 m.
c) 1.51 m.
d) 1.73 m.
e) 1.96 m.