answer the question in the image please : Suppose the block in the previous prob

Question

answer the question in the image please :

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 sleeper(alpha > 0) The ramp has two section of different slope. The ramp has several sections of gradually increasing steepness. The rump 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

there is only one force(gravity) doing the work in lifting the block from bottom to top .so only work done is mg*height so all work done same all the work done in all above 4 cases will be same , all 4 velocities final will be same but the thing that changes is the way velocities will change along the path of the ramp. as in ramp 1 it will be a uniform deceleration , in ramp 2 there will be 2 sets of uniform deceleration and in ramp 3 and 4 gradual deceleration of different magnitudes but in all cases final velocity will be same

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