Question

Two object having equal masses are moving with uniform velocities of 2m/s and 6m/s respectively calculate ratio kinetic energy

Answer 1

Let the mass of both the object be m

K. E of object 1 = (1/2) (m) (2)² = 2m

K. E of object 2 = (1/2) (m) (6)² = 18 m

Ratio of Kinetic Energies = 2m/18m = 1/9 = 1 : 9

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Answer 2

Given :

Two object having equal masses are moving with uniform velocities of 2 m/s and 6 m/s respectively .

To Find :

The ratio of their kinetic energy .

Solution :

We know , kinetic energy is directly proportional the square of velocity .

So ,

$\dfrac{K.E_2}{K.E_1}=\dfrac{v_2^2}{v_1^2}\\\\\dfrac{K.E_2}{K.E_1}=\dfrac{2^2}{6^2}\\\\\dfrac{K.E_2}{K.E_1}=\dfrac{1}{9}$

Therefore , the ratio of their kinetic energy is 1 : 9 .

Learn More :

Kinetic Energy

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