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In the figure below, a single frictionless roller-coaster car of mass m = 581 kg

ID: 1542148 • Letter: I

Question

In the figure below, a single frictionless roller-coaster car of mass m = 581 kg tops the first hill with speed v_0 = 16.2 m/s at height h = 49.0 m. How much work does the gravitational force do on the car from the initial point to point A? How much work does the gravitational force do on the car from the initial point to point B? How much work does the gravitational force do on the car from the initial point to point C? If the gravitational potential energy of the car-Earth system is taken to be zero at point C, what is its value when the car is at B? If the gravitational potential energy of the car-Earth system is taken to be zero at point C, what is its value when the car is at A? 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 the same? increase decrease remain the same

Explanation / Answer

The gravitational force does zero work till point A, as the height of the car doesn't change.

The work done till point B is mgh/2

The work done w=till point C is mgh.