(1) One object is at rest, and another is moving. The two collidein a one-dimensional, completely inelastic collision. In otherwords, they stick together after the collision and move off with acommon velocity. Momentum is conserved. The speed of the objectthat is moving initially is 28 m/s. The masses of the two objectsare 2.7 and 7.7 kg. Determine the final speed of the two-objectsystem after the collision for the case (a) when the large-massobject is the one moving initially and the case (b) when thesmall-mass object is the one moving initially.
(2) A wagon is rolling forward on level ground. Friction isnegligible. The person sitting in the wagon is holding a rock. Thetotal mass of the wagon, rider, and rock is 97 kg. The mass of therock is 0.32 kg. Initially the wagon is rolling forward at a speedof 0.54 m/s. Then the person throws the rock with a speed of 16m/s. Both speeds are relative to the ground. Find the speed of thewagon after the rock is thrown (a) directly forward in one case and(b) directly backward in another.
(1) One object is at rest, and another is moving. The two collidein a one-dimensional, completely inelastic collision. In otherwords, they stick together after the collision and move off with acommon velocity. Momentum is conserved. The speed of the objectthat is moving initially is 28 m/s. The masses of the two objectsare 2.7 and 7.7 kg. Determine the final speed of the two-objectsystem after the collision for the case (a) when the large-massobject is the one moving initially and the case (b) when thesmall-mass object is the one moving initially.
(2) A wagon is rolling forward on level ground. Friction isnegligible. The person sitting in the wagon is holding a rock. Thetotal mass of the wagon, rider, and rock is 97 kg. The mass of therock is 0.32 kg. Initially the wagon is rolling forward at a speedof 0.54 m/s. Then the person throws the rock with a speed of 16m/s. Both speeds are relative to the ground. Find the speed of thewagon after the rock is thrown (a) directly forward in one case and(b) directly backward in another.
