Question

1. Two bodies with kinetic energy in the ratio 4:1 are moving with equal linear momentum.
The ratio of their masses is
1) 1:2
2) 1:1
3) 4: 1
4)1:4
Plzz Explain this ​

Answer 1

Answer:

1:4

Explanation:

It is given that two bodies with kinetic energy in the ratio 4:1 are moving with equal linear momentum. So we have the following dates.

• K=1/2mv²
• K'=1/2m'v²

Here, K=4 and K'=1:

If both bodies are moving with equal linear momentum, so it means they have inverse masses in comparison of their kinetic energy. I.e KE=P²/2m

So, We have:

KE/KE'=M1/M

4/1=M1/M

So ratio of their masses will be 1:4.