Two bodies of mass M and 4M are moving with equal velocities. Find the ratio of their linear momenta.2:11:43:22:3
Question
Two bodies of mass M and 4M are moving with equal velocities. Find the ratio of their linear momenta.
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- 3
Solution
The linear momentum of an object is given by the product of its mass and velocity (p=mv).
Given that the two bodies have masses M and 4M respectively and are moving with equal velocities, we can find the ratio of their linear momenta by dividing the momentum of the first body by the momentum of the second body.
For the first body with mass M, the momentum is M*v (where v is the velocity).
For the second body with mass 4M, the momentum is 4M*v.
Therefore, the ratio of their linear momenta is (Mv) / (4Mv).
The v's cancel out, and we are left with M / 4M = 1 / 4.
So, the ratio of their linear momenta is 1:4.
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