A body of mass 2   kg is driven by an engine delivering a constant power of 1   J   s - 1 . the body starts from rest and moves in a straight line. After 9   s , the body has moved a distance (in m )….

Step-by-step solution

Given, Power delivered by the engine P = 1   J   s - 1 Mass of the body is m =   2   kg Body starts from the rest, u = 0 Using work energy Theorem, W = ∆ K = P t P t = 1 2 m v 2 - 0 Substitute the values in the above equation, we get ( 1 ) t = 1 2 × 2 × v 2 ⇒ v = t = d s d t ⇒ ∫ 0 t d s = ∫ 0 9 t d t ⇒ s = 9 3 2 3 2 = 2 3 × 27 ⇒ s = 18   m