A block of mass is projected upward along a rough incline that makes an angle of with…

PHYSICS · Subjective · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A block of mass 5 kg5\,\text{kg} is projected upward along a rough incline that makes an angle of 30∘30^{\circ} with the horizontal. The block leaves the foot of the incline with a speed of 10 m s−110\,\text{m}\,\text{s}^{-1}. The coefficient of kinetic friction between the block and the incline is 0.200.20. (i) Calculate the distance that the block travels up the incline before momentarily coming to rest. (ii) After coming to rest, the block slides back down the same path. Determine the speed of the block when it returns to the point from which it was projected. (iii) Compare the kinetic energy of the block at the start and when it returns to the starting point, explaining the reason for any difference.

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