A small block of mass is released from rest at the top of a smooth track
PHYSICS · Subjective · CBSE · Physics · Work, Energy and Power · Work, Energy and Power
Problem
A small block of mass 1kg is released from rest at the top of a smooth track. The highest point A of the track is 4m above the lowest point B. Beyond B, the track rises again smoothly without friction.
(i) Calculate the speed of the block when it reaches the lowest point B. Take g=9.8m/s2.
(ii) How high above B will the block rise on the other side before momentarily coming to rest?
(iii) A rough patch capable of doing non-conservative work is fixed on the rising part of the track at a point 1m above B. If the block is brought to rest exactly at this spot, find the amount of work done by the rough patch on the block.
(iv) Using your results, verify whether the work done by the rough patch equals the change in mechanical energy of the block.