To determine The work that has to be done to get the final speed of the ball to be 40 m/s . Explanation Write the energy conservation principle. E sys,f = E sys,i + W surr (I) Here, E sys,f is the final energy of the ball, E sys,i is the initial energy of the ball and W surr is the work done by the person. Write the equation for the initial energy of the ball. E sys,i = m c 2 + K i Here, m is the mass of the ball, c is the speed of light and K i is the initial kinetic energy of the ball. Write the equation for the final energy of the ball. E sys,f = m c 2 + K f Here, K f is the final kinetic energy of the ball. Put the above two equations in equation (I). m c 2 + K f = m c 2 + K i + W surr K f = K i + W surr W surr = K f − K i (II) Write the equation for the initial kinetic energy of the ball. K i = 1 2 m v i 2 Here, v i is the initial speed of the ball

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Chapter 6.4, Problem 6CP

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The work that has to be done to get the final speed of the ball to be 40 m/s.

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