Solving a Momentum Conservation Problem

AI Thread Summary
The problem involves two marbles colliding, with a 2.0-gram marble moving left at 2.0 m/s and a 3.0-gram marble moving right at 2.0 m/s. After the collision, the first marble moves to the right at 1.5 m/s, and the task is to find the velocity of the second marble. To solve it, one must apply the principle of momentum conservation, calculating the total momentum before and after the collision. By setting up the equation with the defined masses and velocities, the unknown velocity of the second marble can be determined. Understanding the momentum before and after the collision is crucial for solving this problem accurately.
Ereny
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Homework Statement



A marble with a mass of 2.0 grams moves to the left with a velocity of 2.0m/s when is collides with a 3.0 gram marble moving in the opposite direction with a velocity of 2.0 m/s. if the first marble has a velocity of 1.5m/s to the right after the collision determine the velocity of the second marble after the collision.


Homework Equations



(before) m1v1 + m2v2 = m1v1 + m2v2 (after)


The Attempt at a Solution



i need help setting it up and i will be all good..
 
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Ereny said:

The Attempt at a Solution



i need help setting it up and i will be all good..

Split the problem up into what is happening before and after the collision

Ereny said:

Homework Statement



A marble with a mass of 2.0 grams moves to the left with a velocity of 2.0m/s when is collides with a 3.0 gram marble moving in the opposite direction with a velocity of 2.0 m/s. if the first marble has a velocity of 1.5m/s to the right after the collision determine the velocity of the second marble after the collision.

From reading the problem you can see that the first line gives what is happening before collision. If we take left direction as negative, the the first marble has the mass = 2 g and velocity = - 2 m/s.

So what is it's momentum? Do the same for the 3 g marble.

Now you add them up and you will have the total momentum (i.e. the momentum before collision - left side of your relevant equations).

The second line tells you what is happening after collision, do the same here and equate the two. (call the velocity of the second marble v)
 
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