Question

A vehicle of mass 1000kg has kinetic energy of 5000J at an instant. The velocity at that instant is?

Answer 1

Given mass:

m=1000 kg

K.E=5000 J

K.E = $\frac{1}{2} mv^{2}$

1/2*1000*v*v=5000

v=$\sqrt{\frac{5000}{500} }$

v=$\sqrt{10}$m/s

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Answer 2

The instant velocity is √10 m/s

Explanation:

• Kinetic energy of any body is possessed due to its motion its expression is given as

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

given mass of the vehicle = 1000 kg

kinetic energy at any instant = 5000 J

By using above equation we get

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

=> $v^{2} = 2 * \frac{5000}{1000}$

=> $v^{2} = 2 * 5$

=> $v^{2} = 10$

=> $v= \sqrt{10}$ m s⁻¹

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