4. A girl is skipping rocks across a lake. One of the rocks accidentally ricochets off a toy boat initially at rest in the water (see the picture). The \( 0.150-\mathrm{kg} \) rock strikes the boat at a velocity of \( 13 \mathrm{~m} / \mathrm{s}, 15^{\circ} \) below due east, and ricochets off at a velocity of \( 11 \mathrm{~m} / \mathrm{s}, 12^{\circ} \) above due east. If the boat has a mass of 1.10 kg and assuming the water and air offer no resistance in the x direction, but the boat does not move in the \( y \) direction, find the following:
(a) The velocity of the boat after the impact.
(b) If the impact took 0.025 s to occur, what was the average force between the rock and the block (magnitude and direction)?
(c) How much energy is lost during the collision?