Two particles are moving along the x axis. particle 1 has a mass m1 and a velocity v1 = +3.2 m/s. particle 2 has a mass m2 and a velocity v2 = -7.1 m/s. the velocity of the center of mass of these two particles is zero. in other words, the center of mass of the particles remains stationary, even though each particle is moving. find the ratio m1/m2 of the masses of the particles.

0.4570

Explanation:

Our values are,

The center of mass velocity is the sum of each mass's momentum divided by the total mass of the system.

This equation is given by,

We know from the statment that center of mass of these two particles is zero, so

Re-arrange to find the ratio,

Substituting,

Therefore our ratio is 0.4570.

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