At a certain instant a ball moving vertically upward has a speed of

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

At a certain instant a 1.5 kg1.5\,\text{kg} ball moving vertically upward has a speed of 4 m/s4\,\text{m/s}. Its total mechanical energy with respect to the ground at that instant is 100 J100\,\text{J}. Take g=9.8 m/s2g = 9.8\,\text{m/s}^2. (a) Calculate the kinetic energy of the ball at that instant. (b) Hence find its gravitational potential energy with respect to the ground. (c) Determine the height of the ball above the ground at that instant.

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