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**Two objects have unequal masses, m1 > m2. If their kinetic energies are equal, which has the greater momentum?**

This is the way I approached this problem. I know that,

*Momentum = mass*velocity*

K = 1/2mv^2

K = 1/2mv^2

So, I solved for v since it is the only unknown in these two equations.

k = 1/2mv^2

2k/m = v^2

√2k/m = v

And plugged it into the first equation for momentum.

Momentum = m√2k/m

= √m^2*√2k/m

= √m^2 2k/m

= √2k m

However, since 2k is a constant between the two massess I removed them from the equation giving me Momentum = √m

Since m1>m2 I thought it was safe to say that the momentum of object 1 is greater than the momentum of object 2; however, I was wrong. According to the answer the momentum of m2 is greater than m1 so I'm just wonder, why?

Is my math wrong, am I not suppose to join these two equation? If somebody can help I would greatly appreciate it. Thank you for taking the time to review my question.