Determining v from momentum / impulse

In summary, the conversation discusses the concept of conservation of momentum and whether the final momentum of a hockey stick is equal to the initial momentum of a ball. It is determined that the initial momentum of the hockey stick is needed in order to find the final momentum of the ball, which is the correct answer. Other external forces, such as air resistance, may also play a role in this scenario.
  • #1
g9WfI
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Homework Statement
A ball, initially at rest, is struck by a hockey stick. It leaves the hockey stick at speed v. Which quantity, together with the mass of the ball, can be used to determine v?
a) the impulse of the force on the ball
b) the final momentum of the hockey stick
Relevant Equations
momentum, impulse
Answer is (a)

I thought it would be (b) due to conservation of momentum - so final momentum of the hockey stick is equal to the initial momentum of the ball. I assume this isn't correct because there are other external forces acting (air resistance?) Is that sound?
 
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  • #2
For (b) to be correct, you will also need the initial momentum of the hockey stick. Then the momentum change of the stick will be equal (in magnitude) to the impulse of the force on the ball which brings us to (a).
 
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  • #3
g9WfI said:
final momentum of the hockey stick is equal to the initial momentum of the ball
Further to @kuruman's point, that wouldn't help even if it were true. You know the initial momentum of the ball; you need to find its final momentum.
 
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1. What is momentum and how is it related to v?

Momentum is a measure of an object's motion, and it is directly related to velocity (v). Momentum is calculated by multiplying an object's mass by its velocity.

2. How do you determine an object's velocity from its momentum?

To determine an object's velocity from its momentum, you can use the equation v = p/m, where v is the velocity, p is the momentum, and m is the mass of the object.

3. Can momentum and velocity have different directions?

Yes, momentum and velocity can have different directions. Velocity is a vector quantity, meaning it has both magnitude and direction. Momentum is also a vector quantity, so it can have a different direction than the velocity.

4. What is impulse and how is it related to momentum?

Impulse is the change in an object's momentum over a period of time. It is calculated by multiplying the force applied to an object by the time it is applied. Impulse is directly related to momentum because it is the cause of a change in an object's momentum.

5. How can you use impulse to determine an object's velocity?

You can use the impulse-momentum theorem, which states that the change in an object's momentum is equal to the impulse applied to it. By rearranging this equation, you can solve for velocity (v = Δp/Δt), where Δp is the change in momentum and Δt is the time interval over which the impulse is applied.

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