Two bodies of masses m and 4m are moving with equal linear momentum. Find the ratio of their kinetic energy.
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Step-by-step explanation:
It is given that two bodies with masses in the ratio 1:4 are moving with equal linear momentum. So we have the following dates.
K=1/2mv²
K'=1/2m'v²
Here, K=1 and K'=4:
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 kinetic energy will be 4:1.
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