An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant power P. The position is given as a function of time by:

Question

Accepted Answer

Correct answer: D. (d) P=const. P= Fv= mv^2 dv dx Pm dx= v^2 dv Pxm= v^33 ( 3 Pxm )^1/3=v= dx dt ( 3Pm )^1/3 dt= x^-1/3 dx ⇒x= ( 8P9m )^1/2t^3/2

$An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant power P. The position is given as a function of time by:$

Solution

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