1. A cart filled with sand rolls at a speed of v_cart = 1.1 m/s along a horizontal path without friction. A ball of mass

m = 2.6 kg

is thrown with a horizontal velocity of v_ball = 9.3 m/s toward the cart as shown in the figure below. The ball gets stuck in the sand. What is the velocity of the cart after the ball strikes it? The mass of the cart is 11 kg. (Assume the positive x direction is to the right. Express your answer in vector form.)

m/s

2. A 185-kg rugby player running east with a speed of 4.00 m/s tackles a 95.0-kg opponent running north with a speed of 4.00 m/s. Assume the tackle is a perfectly inelastic collision. (Assume that the +x axis points towards the east and the +y axis points towards the north.)(a) What is the velocity of the players immediately after the tackle?

magnitude	m/s
direction	counterclockwise from the +x axis

(b) What is the amount of mechanical energy lost during the collision? J