Ball dropped from heigh and bounces to height, change in momentum?

In summary, a bouncy ball of mass 85.3 grams was dropped from a height of 13.17 meters and rebounded to a height of 5.12 meters. To find the change in momentum (in kgm/s) of the bouncy ball, we can use a kinematic equation relating height and velocity. The velocity at the point where it hits the ground can be calculated by setting the initial height (Xo) to 13.17 meters and the final height (X) to 5.12 meters. The initial velocity (Vo) can be assumed to be 0. Using this information, we can calculate the velocity at the point of impact to be 1.34m/s.
  • #1
IDKPhysics101
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A bouncy ball of mass 85.3 grams is dropped from a height of 13.17 meters. It rebound to a height of 5.12 meters. What was the change in momentum (in kgm/s) of the bouncy ball?
 
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  • #2
IDKPhysics101 said:
A bouncy ball of mass 85.3 grams is dropped from a height of 13.17 meters. It rebound to a height of 5.12 meters. What was the change in momentum (in kgm/s) of the bouncy ball?

What attempt did you try?

How would you find the speed of the ball at the point where it hits the ground?

(Hint: Think of conservation of energy)
 
  • #3
i was thinking one of the kinematic equations but not sure how to find initial and final velocity or what to set each one to to find the other
 
  • #4
IDKPhysics101 said:
i was thinking one of the kinematic equations but not sure how to find initial and final velocity or what to set each one to to find the other

Well take from the start to when it hits the ground, using a kinematic equation relating height and velocity, what is the velocity as it hits the ground?
 
  • #5
V^2=Vo^2+2a(X-Xo)?

would 13.17 be Xo and 5.12 be X?

would the Vo be 0?

would the velocity when it hits the ground be 1.34m/s?
 

What is the definition of momentum?

Momentum is a measure of an object's motion, calculated by multiplying its mass by its velocity.

How does dropping a ball from a height affect its momentum?

When a ball is dropped from a height, its momentum increases as it gains speed due to the force of gravity.

What happens to the ball's momentum when it bounces?

When a ball bounces, its momentum changes direction as it collides with the ground and experiences an equal and opposite force, according to Newton's third law of motion.

What is the formula for calculating change in momentum?

The formula for calculating change in momentum is Δp = mΔv, where Δp represents the change in momentum, m is the mass of the object, and Δv is the change in velocity.

How does the height of the bounce affect the change in momentum?

The height of the bounce does not affect the change in momentum, as long as the surface the ball bounces on is the same. The change in momentum is dependent on the mass and velocity of the ball.

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