Suppose you are on a cart, initially at rest, which rides on a frictionless horizontal track. You throw a ball at a vertical surface that is firmly attached to the cart. If the ball bounces straight back as shown in the picture, will the cart be put into motion after the ball bounces back from the surface?
A. Yes, and it moves to the right.
B. Yes, and it moves to the left.
C. No, it remains in place

And the forces are equal but in the opposite direction. So then we can write by general rule:

Or equivalently:

Where: represent the speed of the car and the speed of the ball

represent the mass of the car

represent the mass of the ball

Since the ball is moving to the left and we assume that the total momentum not changes then the car need to move to the right in order to satisfy the equation and satisfy the balance.

By conservation of the momentum the car will move to the right since the ball is moves to the left.

So then the correct option for this case is :

A.Yes, and it moves to the right.

Explanation:

If we assume that we have the situation in the figure attached.

For this case we assume that the momentum changes are equal in magnitude and opposite in direction, so then we satisfy this:

And the forces are equal but in the opposite direction. So then we can write by general rule:

Or equivalently:

Where: represent the speed of the car and the speed of the ball

represent the mass of the car

represent the mass of the ball

Since the ball is moving to the left and we assume that the total momentum not changes then the car need to move to the right in order to satisfy the equation and satisfy the balance.

By conservation of the momentum the car will move to the right since the ball is moves to the left.

So then the correct option for this case is :

A.Yes, and it moves to the right.

the force required to move the cart is divided by three or 33.33 n.

i believe the answer would be:

d. violin, clarinet, french horn, and tuba