A 60 kg runner in a sprint moves at 11 m/s. a 60 kg cheetah in a sprint moves at 33 m/s.

Asked by maham237 @ in Physics viewed by 592 People

A 60 kg runner in a sprint moves at 11 m/s. A 60 kg cheetah in a sprint moves at 33 m/s. By what factor does the kinetic energy of the cheetah exceed that of the human runner?

Answered by maham237 @


Explanation:

It is given that,

Mass of the runner, m₁ = 60 kg

Speed of runner, v₁ = 11 m/s

Mass of cheetah, m₂ = 60 kg

Speed of cheetah, v₂ = 33 m/s

Kinetic energy of runner, E_r=\dfrac{1}{2}m_1v_1^2

E_r=\dfrac{1}{2}\times 60\times (11)^2=3630........(1)

Kinetic energy of cheetah, E_c=\dfrac{1}{2}m_2v_2^2

E_c=\dfrac{1}{2}\times 60\times (33)^2=32670\ J..............(2)

From equation (1) and (2), it is clear that

E_c= 9\times E_r

So, the kinetic energy of the cheetah is nine times that of human runner. Hence, this is the required solution.


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