Physics equations/07-Work and Energy/Q:cart1/More practice

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pe07-Cart1 B[edit]

1

If the initial velocity after leaving the spring is 2.1 m/s, how high does it reach before coming to rest?
Roller coaster energy conservation.jpg

a) 2.25E-001 m
b) 2.73E-001 m
c) 3.30E-001 m
d) 4.00E-001 m
e) 4.85E-001 m

2

The mass of the cart is 4.9kg, and the spring constant is 4743N/m. If the initial compression of the spring is 0.7m, how high does it reach before coming to rest?
Roller coaster energy conservation.jpg

a) 1.12E+001 m
b) 1.36E+001 m
c) 1.65E+001 m
d) 2.00E+001 m
e) 2.42E+001 m

3

What is the highest point the cart reaches if the speed was 7.8m/s when the cart was situated at a height of 2.5m?
Roller coaster energy conservation.jpg

a) 4.7542E+000 m
b) 5.6041E+000 m
c) 6.6059E+000 m
d) 7.7868E+000 m
e) 9.1789E+000 m

4

If the initial velocity after leaving the spring is 7.9 m/s, how high does it reach before coming to rest?
Roller coaster energy conservation.jpg

a) 3.18E+000 m
b) 3.86E+000 m
c) 4.67E+000 m
d) 5.66E+000 m
e) 6.86E+000 m

5

The mass of the cart is 4.8kg, and the spring constant is 8459N/m. If the initial compression of the spring is 0.1m, how high does it reach before coming to rest?
Roller coaster energy conservation.jpg

a) 5.06E-001 m
b) 6.13E-001 m
c) 7.42E-001 m
d) 8.99E-001 m
e) 1.09E+000 m

6

What is the highest point the cart reaches if the speed was 7.2m/s when the cart was situated at a height of 2.4m?
Roller coaster energy conservation.jpg

a) 2.6130E+000 m
b) 3.0801E+000 m
c) 3.6307E+000 m
d) 4.2798E+000 m
e) 5.0449E+000 m