8.61.Set Up:Let be the initial direction of motion of the bullet and let be the direction of the final motionof the bullet. The before and after diagrams are sketched inFigure 8.61.Figure 8.61Solve: (a) says and says and ThenThe stone rebounds at in a direction of from the initial direction of motion of the bullet.(b)andand the collision is inelastic.Reflect:Each component of momentum is separately conserved. Kinetic energy is a scalar, not a vector, and wenever consider its “components”.8.62.Set Up:Let be downward. Use the heights to find and the velocity of the ball just before and justafter it strikes the slab.Solve: (a)so The impulse is upward.(b)The average force on the ball is 237 N, upward.8.63.Set Up:Let be the direction the neutron is traveling initially. Since the collision is head-on all the motionis along the xaxis. For a perfectly elastic collision with object Boriginally at rest, the final speeds are given by Eqs. 8.11 and 8.12.
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