Two bodies $A$ and $B$ have masses $20 k g$ and $5 k g$ respectively. If they acquire the same kinetic energy. Find the ratio of thier velocities.

\frac{1}{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{2}{5}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{5}{6}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $\frac{1}{2}$
Given:

$m_{A} = 20 k g$

$m_{B} = 5 k g$

Kinetic Energy of both bodies A and B are the same.

Thus,

$\frac{1}{2} m_{A} V_{A}^{2} = \frac{1}{2} m_{B} V_{B}^{2}$

$\frac{V_{A}^{2}}{V_{B}^{2}} = \frac{m_{B}}{m_{A}}$

$\frac{V_{A}^{2}}{V_{B}^{2}} = \frac{5}{20}$

$\frac{V_{A}}{V_{B}} = \frac{1}{2}$

So, option A is correct.

Suggest Corrections

Similar questions

Two bodies of masses m and 4 m are moving with equal kinetic energy. The ratio of velocities with which they are traveling is :

6 v

\frac{3}{2} v

m_{1}

m_{2}

F

t

E_{1}

E_{2}

\frac{E_{1}}{E_{2}}

m

2 m

K_{1}

K_{2}

Join BYJU'S Learning Program