How Does a Wall Affect a Ball's Momentum and Impulse?

In summary, a 300 g ball with a speed of 6.0 m/s strikes a wall at a 30 degree angle and rebounds with the same speed and angle after being in contact with the wall for 10 ms. The impulse on the ball from the wall can be calculated using the formula F = \frac{d}{dt}mv, and the average force on the wall from the wall can be calculated using the formula provided in the given link.
  • #1
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A 300 g ball with a speed v of 6.0 m/s strikes a wall at an angle of 30 degrees, and then rebounds with the same speed and angle. It is in contact with the wall for 10 ms.
(a) What is the impulse on the ball from the wall?
(b) What is the average force on the wall from the wall?

What formulas would be used here?
 
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  • #2
You know that [tex]F = \frac{d}{dt}mv[/tex]. Since there is change in the horizontal component of velocity, you can calulate the force.
 

FAQ: How Does a Wall Affect a Ball's Momentum and Impulse?

1. What is the difference between impulse and momentum change?

Impulse is the change in momentum over a certain period of time, while momentum change is the difference between the initial and final momentum of an object. In other words, impulse is a measure of how much the momentum changes, while momentum change is a measure of the final momentum minus the initial momentum.

2. What is the formula for calculating impulse?

The formula for impulse is force multiplied by the change in time, or J = FΔt. This means that the greater the force applied to an object over a longer period of time, the greater the impulse will be.

3. How does impulse affect the motion of an object?

Impulse causes a change in an object's momentum, which in turn affects its motion. If a large impulse is applied to an object, it will experience a larger change in momentum and therefore a greater change in motion. Similarly, a smaller impulse will result in a smaller change in momentum and a smaller change in motion.

4. How is momentum change related to collision?

In a collision, momentum is always conserved, meaning that the total momentum before the collision is equal to the total momentum after the collision. This means that the momentum change of one object is equal and opposite to the momentum change of the other object involved in the collision.

5. Can impulse and momentum change be negative?

Yes, both impulse and momentum change can be negative. This occurs when the direction of the force applied or the change in momentum is opposite to the direction of motion. For example, if a car experiences a force in the opposite direction of its initial motion, the impulse and momentum change will be negative.

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