Answer to Question #166567 in Mechanics | Relativity for Sara

Question

Particle A has a m and v particle B has a mass of 2m and velocity 1/2v The linear momentum of particle A and particle B are:

the same,

different by a factor of 2,

or different by a factor of 1/2?

Answer 1

Let's calculate the linear momentum of particle A and particle B:

$$p_A=mv,$$ $$p_B=2m\cdot\dfrac{1}{2}v=mv.$$

As we can see from the calculations, $p_A=p_B$. Therefore, The linear momentum of particle A and particle B are the same.