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## Homework Statement

A cart with mass 340 g moving on a frictionless linear air track at an initial speed of 1.2 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 0.66 m/s.

(a) What is the mass of the second cart?

(b) What is its speed after impact?

(c) What is the speed of the two-cart center of mass?

## Homework Equations

I'll use this space to organize variables:

m

_{1}= 0.34 [kg]

v

_{1i}= 1.2 [m/s]

v

_{1f}= 0.66 [m/s]

## The Attempt at a Solution

Okay using the Conservation of Momentum model, I have:

m

_{1}v

_{1i}= m

_{1}v

_{1f}+ m

_{2}v

_{2f}

So in order to find the mass of the second cart, I have:

(m

_{1}(v

_{1i}- v

_{1f}))/v

_{2f}= m

_{2}

And now I'm stuck because I don't have the final velocity of the second cart in order to compute its mass.

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