Question

A 70 kg soccer player, running at 10m/s, kicks a 0.4kg ball, which then travels at 50m/s. the ball is then kicked back towards the player, so that it is now traveling in the opposite direction with the same speed. has the linear momentum of the ball changed?

O no, the same mass and speed means the same linear momentum.
O no, the same mass and opposite velocity means the same linear momentum.
O yes, the same mass but a different velocity means a different linear momentum.
O impossible to determine without knowing the force acting on the ball during the kick.

Answer 1

Yes, the linear momentum of the ball has changed because it now has a different velocity, meaning the velocity's direction has changed, even though its speed remains the same.

Step-by-step explanation:

The student asks if the linear momentum of the ball has changed after being kicked back towards the player at the same speed but in the opposite direction. Linear momentum is defined as the product of an object's mass and its velocity (p = mv). Since the ball's mass remains constant but the direction of its velocity changes (velocity is a vector quantity with both magnitude and direction), the linear momentum has indeed changed in direction.

Therefore, the correct answer is: Yes, the same mass but a different velocity means a different linear momentum.