Question

Two bodies A and B of same mass are moving with velocities 5m/s and 10m/s respectively. The ratio of their momentum is: *
1:3
1:1
1:2
2:1​

Answer 1

Given:-

→Mass of two bodies A and B are same.

→Velocity of A(v₁)=5m/s

→Velocity of B(v₂)=10m/s

To find:-

→Ratio of momentum of the bodies

Solution:-

Let the masses of A and B be m and their momentum be p₁ and p₂ respectively.

We know that:-

=>p=m×v

Where:-

•p is momentum of the body

•m is mass of the body

•v is velocity of the body

Case 1:-

=>p₁=m×v₁

=>p₁=m×5

=>p₁=5m. ---(1)

Case 2:-

=>p₂=m×v₂

=>p₂=m×10

=>p₂=10m. ----(2)

Now,by diving eq.1 by eq.2,we get:-

=>p₁/p₂ = 5m/10m

=>p₁/p₂ = 1/2

=>p₁ : p₂ = 1:2

Thus,ratio of momentum of the bodies is 1:2.