Question

A 250 g ball collides with a wall. The figure shows the ball's velocity and the force exerted on the ball by the wall. What is v the bells rebound velocity?

Answer 1

To find the rebound velocity of the ball after colliding with the wall, we can use the law of conservation of momentum which states that the momentum before the collision is equal to the momentum after the collision. By substituting the known values and solving for the rebound velocity, we can find the answer.

Step-by-step explanation:

In order to find the rebound velocity of the ball, we need to understand that the collision between the ball and the wall is an elastic collision. In an elastic collision, both kinetic energy and momentum are conserved.

To find the rebound velocity, we can use the law of conservation of momentum. The momentum before the collision is equal to the momentum after the collision:

m1v1i = m1v1f + m2v2f

Substituting the known values:
(0.250 kg)(5.00 m/s) = (0.250 kg)(v1f) + (0.250 kg)(-v2f)

Solving for v1f gives us the rebound velocity of the ball.

Answer 2

The rebound velocity of the ball can be determined using the principle of conservation of momentum. By calculating the impulse and initial momentum of the ball, the final momentum and rebound velocity can be found.

Step-by-step explanation:

The rebound velocity of the ball can be determined using the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.

Given that the initial velocity of the ball is 0 m/s and the mass of the ball is 250 g (or 0.25 kg), the initial momentum of the ball is 0 kg∙m/s.

Since the wall exerts a force on the ball, the ball experiences an impulse during the collision. The impulse can be calculated using the equation:

impulse = force × time

Where the force exerted on the ball by the wall is given in the figure, and the time of collision is the duration during which the ball is in contact with the wall.

Once the impulse and initial momentum of the ball are known, the final momentum of the ball can be calculated using the equation:

final momentum = initial momentum + impulse

Finally, using the new momentum and the mass of the ball, the rebound velocity of the ball can be calculated using the equation:

rebound velocity = final momentum / mass

By plugging in the values into the equations and solving, the rebound velocity of the ball can be determined.