How Do You Solve a Momentum Conservation Problem When Stuck?

In summary, the conversation is about a problem involving the conservation of momentum and the use of equations such as pi = pf and ∫Fdt = I. The individual is struggling with how to approach the problem and has tried using the center of mass and momentum equations, but is still unsure of how to start. Another individual suggests using the momentum and angular momentum equations to determine the velocity of a frame after an applied force.
  • #1
VHAHAHA
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Homework Statement



The problem is shown below.

Homework Equations



Conservation of momentum? pi = pf
∫Fdt = I ?

The Attempt at a Solution



This question is really strange. I have started to do this question for many hours and I don't know how to start it.

I have tried to list out the equations like Conservation of momentum and ∫Fdt = I , but i don't know how to use this equation! It is very strange ! How to get start? I have also tried using the center of mass but the results are useless!

Any tips pleases? I have already attempted this equation! But the problem is I don't know how to get start! =(
 

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  • #2
You have to use the momentum equation: change of the momentum of the CM is equal to the impulse, and the similar equation for the change of angular momentum, which is equal to the angular impulse ∫τdt,integral of the torque of the applied force. The frame will move as a whole in the direction of the blow and at the same time, rotate about the CM. Knowing the velocity of the CM and the angular velocity with respect to the CM you get the velocity of B.

ehild
 

FAQ: How Do You Solve a Momentum Conservation Problem When Stuck?

What is impulse?

Impulse is a physical quantity that measures the change in momentum of an object. It is calculated by multiplying the force applied to an object by the time period over which the force is applied.

How is impulse related to momentum?

Impulse and momentum are directly related, as impulse is equal to the change in momentum. This means that the greater the impulse applied to an object, the greater the change in its momentum will be.

What is the unit of measurement for impulse?

The SI unit for impulse is Newton-second (N*s), which is equivalent to kilogram-meter per second (kg*m/s).

How is impulse different from force?

While force is a push or pull on an object, impulse is a measure of the change in momentum of an object. Force is applied over a period of time, whereas impulse takes into account both the magnitude and duration of the force.

What are some real-life examples of impulse?

Some common examples of impulse include hitting a baseball with a bat, jumping off a diving board, or kicking a soccer ball. In each of these cases, the force applied to the object results in a change in its momentum.

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