Momentum and velocity at certain distance?

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The discussion revolves around calculating momentum and velocity in scenarios involving acceleration and deceleration. Key questions include determining the recoil speed of the Earth when a person jumps and calculating the impulse on a ball dropped from a height. To find the final velocity in these cases, kinematic equations can be applied, considering gravitational forces. The conversation emphasizes the importance of understanding how momentum is affected by changing velocity due to gravity. Overall, the thread seeks clarity on applying physics principles to specific problems involving momentum and velocity.
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Homework Statement



For momentum, what should i determine the final velocity if there is a deceleration or acceleration? should i use the kinematic equation to determine the velocity in the case?

however, if I'm required to find momentum after the object is already traveled a certain distance?

Questions:
1. How fast can you set the Earth moving? In particular, when you jump straight up as high as you can, what is the maximum recoil speed that you give to the Earth? Let your mass be 70.0 kg and your maximum jump height be 0.500 m. Model the Earth as a perfectly solid object.

2. A ball of mass 0.100 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of 0.840 m. What impulse was given to the ball by the floor?

how do i define the velocity for mv, because the velocity is not constant due to the gravitational force.
 
Last edited:
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Momentum is simply mass times velocity. So if the mass doesn't change, you can calculate the change in momentum by the change of velocity.

However, this is probably not precisely the answer you are looking for... can't you just post the question you're working on? :)
 
Hi compuchip,

thanks for your early reply =)

i'm currently working on this example, the one i posted in the first post.

1. How fast can you set the Earth moving? In particular, when you jump straight up as high as you can, what is the maximum recoil speed that you give to the Earth? Let your mass be 70.0 kg and your maximum jump height be 0.500 m. Model the Earth as a perfectly solid object.

2. A ball of mass 0.100 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of 0.840 m. What impulse was given to the ball by the floor?
 
Last edited:
should i consider the gravitational force as an internal force in the system?
 
could anyone give me some hints on these problems?
 
1) You need to lookup the mass of the Earth. What would your initial velocity need to be in order to give you an altitude of 0.500 m?

2) What is the maximum velocity of the ball before it hits the ground?
 
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