1.A baseball (m = 154 g) approaches a bat horizontally at a speed of 36.3 m/s (81.2 mi/h) and is hit straight back at a speed of 52.8 m/s (118 mi/h). If the ball is in contact with the bat for a time of 1.36 ms, what is the average force exerted on the ball by the bat? Neglect the weight of the bat, since it is so much less than the force of the bat. Choose the direction of the incoming ball as the positive direction

2.A golfer, driving a golf ball off the tee, gives the ball a velocity of +41.8 m/s. The mass of the ball is 0.0407 kg, and the duration of the impact with the golf club is 3.11 x 10^-3 s. (a) What is the change in momentum of the ball? (b) Determine the average force applied to the ball by the club

3.A 2.8-kg cart is rolling along a frictionless, horizontal track towards a 1.6-kg cart that is held initially at rest. The carts are loaded with strong magnets that cause them to attract one another. Thus, the speed of each cart increases. At a certain instant before the carts collide, the first cart's velocity is +3.1 m/s, and the second cart's velocity is -2.2 m/s. (a) What is the total momentum of the system of the two carts at this instant? (b) What was the velocity of the first cart when the second cart was still at rest