1. A 0.060kg ball is propelled by a 1.10kg racquet from rest to a speed of 40.0m/s. If the two objects are in contact for 250ms, calculate the average force exerted by the racquet on the ball.
2. A 60.0kg swimmer stands at the edge of a 200kg boat that is motionless on the water of a lake. If the swimmer dives from the boat in a horizontal direction due east at 8.00m/s, calculate the velocity of the boat if friction between the boat and the water is neglected.
3. A 500kg car traveling due east at 54.0km/h collides head on with a 3000kg van moving at 18.0km/h. If the two vehicles stick to each other as a result of the collision, calculate the velocity of the combined mass.
4. An 18.0g arrow is fired into a 3.00kg pumpkin suspended on a string. The arrow imbeds itself in the pumpkin and makes it move at 1.50m/s due east. Calculate the velocity of the arrow just before it enters the pumpkin.