Question

Two particles, the first with 2 times the mass of the second, have the same kinetic energy. What is the ratio between the magnitude of the momentum of the first particle and the magnitude of the momentum of the second particle?

Answer #1

Let the mass of the first particle be m1 and that of the second particle be m2. Let v1 and v2 be their respective velocities. Given m1 = 2(m2). Both particles have the same kinetic energy. Therefore,

Now taking the ratio of momentum of the two particles,

So the ratio between the magnitude of the momentum of the first particle and the magnitude of the momentum of the second particle is or 1.41.

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