A body of mass 2kg begins to move under the action of a time dependent force given by → F = (6t ^ i + 6 t ^ 2 ^ j )N . The power developed by the force at the time t is given by:

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Correct answer: D. (9 t ^ 3 + 6 t ^ 5 )W

Given: → F = (6t ^ i + 6 t ^ 2 ^ j )N Now, → F = m → a = (6t ^ i + 6 t ^ 2 ^ j ) ⇒ → a = → F m = (3t ^ i + 3 t ^ 2 ^ j ) Hence, velocity → v = ∫ _ 0 ^ t → a dt = 3 t ^ 2 2 ^ i + t ^ 3 ^ j Required power, P = → F . → v = (9 t ^ 3 + 6 t ^ 5 )W

A body of mass 2kg begins to move under the action of a time...

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