Momentum Transfer in 1.00kg Steel Ball Collision

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In summary, a 1.00 kg steel ball is released from 4.00 m above the floor, falls and strikes the floor, and reaches a maximum height of 2.50 m. The momentum transferred from the ball to the floor in the collision can be calculated as approximately 15.9 kg m/s in the downward direction. However, the book gives an incorrect answer of 1.85 kg m/s down.
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LD_90
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A 1.00 kg steel ball 4.00 m above the floor is released, falls, strikes the floor, and rises to a maximum height of 2.50 m. What is the momentum transferred from the ball to the floor in the collision?

Ok the momentum down before the collision is around -8.85 kg m/s, up after the collision is about 7.00 kg m/s so shouldn't the amount of momentum transferred to the flour be around 15.9 kg m/s in the downward direction?

The book gives an answer of 1.85 kg m/s down transfered. It doesn't seem right to me. Help me out here.

Thanks
 
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  • #2
Your answer seems correct to me. The book is wrong.
 
  • #3
Thanks for the help!
 

1. What is momentum transfer in a collision?

Momentum transfer in a collision refers to the transfer of momentum from one object to another during the collision. Momentum is a measure of an object's mass and velocity, and it is conserved in a closed system.

2. How is momentum transferred during a collision?

Momentum is transferred during a collision through the exchange of forces between the two objects involved. When the objects collide, they exert equal and opposite forces on each other, resulting in a transfer of momentum from one object to the other.

3. How is momentum calculated during a collision?

Momentum is calculated by multiplying an object's mass by its velocity. In the case of a collision between two objects, the total momentum before the collision is equal to the total momentum after the collision. This is known as the law of conservation of momentum.

4. What factors affect momentum transfer in a collision?

The factors that affect momentum transfer in a collision include the mass and velocity of the objects involved, the angle and direction of the collision, and any external forces acting on the objects. Inelastic collisions, where some kinetic energy is lost, will result in less momentum transfer compared to elastic collisions.

5. How does the momentum of a 1.00kg steel ball change during a collision?

The momentum of a 1.00kg steel ball will change during a collision depending on the mass and velocity of the other object involved. If the other object has a larger mass or is moving at a faster velocity, the steel ball will experience a greater transfer of momentum. Additionally, the angle and direction of the collision will also affect the change in the steel ball's momentum.

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