1. Dynamics cart A has a mass of 1.8 kg and is moving with a velocity of 4.0 m/s[right] along a frictionless track. Dynamics cart 2 has a mass of 2.2 kg and is moving at 6.0 m/s[left]. The carts collide in a head-on elastic collision cushioned by a spring (k = 8.0 x 104 N/m).

a. Determine the compression of the spring, in centimetres, during the collision when cart 2 is moving at 4.0 m/s[left]. (Hint: find the velocity of the cart 1 first and then use conservation of energy to find the amount of compression.)

b. Calculate the maximum compression of the spring, in centimetres. (Hint: at maximum compression both gliders will have the same velocity - if they did not they would be catching up to or pulling away from each other.)

2.A 24.0 g bullet is fired horizontally, embedding itself in a 10.0 kg block initially at rest on a horizontal ice surface. The block (with the bullet embedded) slides along the ice, coming to rest in 2.00 s at a distance of 60.0 cm from its original position. Assume that the frictional force stopping the block is constant.

a. Calculate the initial velocity of the bullet-block combination.

b. Calculate the initial velocity of the bullet.

c. Is this an elastic or inelastic collision? How do you know