Question

A 900 kg compact car is moving at a certain speed if its kinetic energy is 320000 Joule find the velocity at which the car is travelling​

Answer 1

Answer:

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Answer 2

Answer :-

Given :-

Mass of a Car ( m ) = 900 kg

Kinetic Energy ( K.E ) = 320000 J

It can be written as :-

$K.E = 320 \times {10}^{3} \: J$

To find :-

velocity at which the car is travelling = ?

Solution :-

We know that ,

$K.E \: = \frac{1}{2} m {v}^{2}$

$320 \times {10}^{3} = \frac{1}{2} \times 900 \times {v}^{2}$

${v}^{2} = \frac{2 \times 320 \times {10}^{3} }{900}$

${v}^{2} = \frac{2 \times 320 \times 10}{9}$

${v}^{2} = \frac{6400}{9}$

$v \: = \sqrt{ \frac{6400}{9} }$

$v \: = \sqrt{711.11}$

$v \: = 26.67 \: m/s$

Car is travelling at a velocity of 26.67 m/s.