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

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

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answer is 0018.00.

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Detailed Solution

Given : constant power = P=△Kt So, △K=Pt ⇒Pt=12mv2−12mu2=12mv2 ⇒Pt=12mv2−0=12mv2,(∵u=0)⇒1×t=12×2×v2 ⇒v=t ⇒dS=tdt ⇒ dist. travelled s=∫09tdt=23t3/209=23932−0=23×27=18m

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