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The masses of scooter and bike are in the ratio of $2 : 3$ , but both are moving with the same speed of $108$ $km / h$ . Compute the ratio of their kinetic energy.

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1 : 1

4 : 9

3 : 2

2 : 3

answer is D.

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Detailed Solution

The masses of scooter and bike are in the ratio of

2 : 3

, but both are moving with the same speed of

108 km / h

. The ratio of their kinetic energy is

2 : 3

.
Kinetic energy

\propto

mass of the body
Let the mass of the scooter

= 2 m

And mass of the bike

= 3 m

Ratio of their Kinetic energies

\frac{Kinetic energy of scooter}{Kinetic energy of bike} = \frac{mass of the scooter}{mass of the bike}

\Rightarrow

= \frac{2 m}{3 m}

Ratio of kinetic energy of scooter to that of bike

= 2 : 3

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