*PLEASE I NEED HELP, WORTH 50 POINTS* Cart A has mass M and is released from rest at a height 2H on a ramp making an angle 2 with the horizontal, as shown above. Cart B has mass 2M and is released from rest at a height H on a ramp making an angle with the horizontal. The carts roll toward each other, have a head- on collision on the horizontal portion of the ramp, and stick together. The masses of the carts’ wheels are negligible, as are any frictional or drag forces.

a.) Derive an expression to determine the velocity of Cart A in terms of the variables given in the prompt.

b.) Derive an expression to determine the velocity of Cart B in terms of the variables given in the prompt.

c.) Determine the final velocity of the carts after the collision.

d.) Is the collision elastic or inelastic? Justify your answer.

*Answers should only include variables.