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In the figure below, a frictionless roller coaster of mass m = 553 kg tops the f

ID: 1903783 • Letter: I

Question

In the figure below, a frictionless roller coaster of mass m = 553 kg tops the first hill with speed v0 = 7.5 m/s at height h = 33 m.

(a) How much work does its weight do on it from the initial point to point A?

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(b) How much work does its weight do on it from the initial point to point B?

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(c) How much work does its weight do on it from the initial point to point C?

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(d) The gravitational potential energy of the coaster-Earth system is taken to be zero at point C. What is its value when the coaster is at point B?

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(e) What is its value when the coaster is at point A?

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(f) If mass m were doubled, would the change in the gravitational potential energy of the system between points A and B increase, decrease, or remain same?

Explanation / Answer

a. zero. b. mgh/2 c. mgh d. mgh/2 e. mgh f.remains same.