In the figure below, a 10 g bullet moving directly upward at 1000 m/s strikes and passes through the center of mass of a 5.0 kg block initially at rest. The bullet emerges from the block moving directly upward at 400 m/s. (a) To what maximum height does the block then rise above its initial position? (b) Calculate the initial and final kinetic energies of the system. (c) The block now falls and bounces off the table where it originally sat. What is the velocity just before it hits the table? (d) If it rebounds with a speed of 10 m/s. what is the magnitude of the average force on the floor from the ball if the ball is in contact with the floor for 0.020 s?

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