Question

Two bodies A and B have masses in the ratio 5:1 and their kinetic energies are in the ratio 125:9. Find the ratio of their velocities.
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Answer 1

Answer:

5 : 3 is the ratio of their velocities.

Explanation:

Given :-

Two bodies A and B have masses in the ratio 5 : 1 and their kinetic energies in the ratio 125 : 9.

To find :-

Ratio of their velocities.

Solution :-

Kinetic energy = $\frac{1}{2}$ mv²

$\frac{M_{A}}{M_B}$ = $\frac{5}{1}$

$\frac{KE_A}{KE_B}$ = $\frac{125}{9}$

$\frac{V_A}{V_B}$ = ?

• 1/2MₐV²A/1/2MᵦV²ᵦ

• $\frac{125}{9}$ = $\frac{5}{1}$ $\frac{V^2_A}{V^2_B}$ = $\frac{V_A}{V_B}$ = $\frac{5}{3}$

∴ Ratio of their velocities is 5 : 3.