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

Step-by-step solution

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