Two bodies of masses m, and m, have equal
kinetic energies. If p, and p, are their
respective momentum, then ratio p, P, is
A) mm
B) m, :m
C) Vm, : Vm,
D) m,: m?
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⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
✔ Given, two bodies m1 and m2
✔ Let us consider the velocity of 1st body be = v1
✔ Then its Kinetic energy = p²/2m1=(m1v1)²/2m2
✔ Let us consider the velocity of 2nd body be = v2
✔ Then its Kinetic energy = p²/2m2 = (m2v2)²/2m2
✔ Now, (m1v1)²/2m1 = (m2v2)²/2m2
∴ (m1v1)/(m2v2) = √2m2/√2m1
✔ Therefore, ratio = √2m2 : √2m1 (Ans.)
⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐⭐
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