A running man has the same kinetic energy as that of a boy of half his mass. The man speed up by 2 ms−1and the boy changes his speed by 𝑥 = ms−1 , so that the kinetic energies of the boy and the man are again equal. Then 𝑥 in ms−1 is

Question: A running man has the same kinetic energy as that of a boy of half his mass. The man speed up by 2 ms−1and the boy changes his speed by 𝑥 = ms−1 , so that the kinetic energies of the boy and the man are again equal. Then 𝑥 in ms−1 is

(A) -2\sqrt{2}

(B) +2\sqrt{2}

(C) \sqrt{2}

(D) 2

Answer: Option (B)

Solution:

A running man has the same kinetic energy as that of a boy of half his mass. The man speed up by 2 ms−1and the boy changes his speed by 𝑥 = ms−1 , so that the kinetic energies of the boy and the man are again equal. Then 𝑥 in ms−1 is
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