A ball is projected vertically upward from ground level with an initial speed of

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A 0.25 kg0.25\,\text{kg} ball is projected vertically upward from ground level with an initial speed of 15 m s−115\,\text{m\,s}^{-1}. As the ball moves, it experiences a constant downward air resistance of magnitude 1.0 N1.0\,\text{N} in addition to its weight. (i) Neglecting air resistance, determine the maximum height the ball would reach. (ii) Taking air resistance into account, calculate the actual maximum height attained by the ball. (iii) Compute the mechanical energy lost due to air resistance during the ascent.

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