Suppose the block in the previous problem were launched with the same initial sp

Question

Suppose the block in the previous problem were launched with the same initial speed on the following frictionless ramps. In each case state whether the magnitude of the net work done on the block from the bottom to the top of the ramp is greater than, less than, or equal to the magnitude of the net work done on the block in problem 2. Explain your answer in each case. The ramp is steeper (a >0). The ramp has two sections of different slope. The ramp has several sections of gradually increasing steepness. The ramp is curved. Use the work-energy theorem to rank the final speeds of the block on the ramps (a-d), assuming the block is launched with the same initial speed in each case. If the final speeds are the same in any of the cases, state that explicitly. Explain.

Explanation / Answer

in each case , final speed would be same since initial speed is same in each case hence kinetic energy at bottom is same

at the Top also , each have same potential energy since each is raised to same vertical height. hence final kinetic energy would be same for each and final velocity would also be same

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