Question

Two bodies A and B of same mass are moving with velocities $v$ and $2v$ respectively. What is the ratio of their momentum ?

• A. 3:2
• B. 2:1
• C. 1:2
• D. 1:1

Answer 1

Answer: (C)

1:2

(i) Inertia - Inertia depends on mass, And since the mass of the two body is the same, therefore their inertia will be in the ratio of $1$ : $1$
(ii) Momentum - $p=mv$
From, above we see momentum is directly proportional to mass and velocity.
Since mass is equal, in this case velocity with determine the ratio of momentum.
Velocity of body $A=v$
Velocity of body $B=2v$
So. its ratio = $1$ : $2$