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  • A body of mass 2kg is driven by an engine delivering a constant power of 1J/s. The body starts from rest and moves in a straight line. After 9s, the body has moved a distance (in m)  ...... Option: 1 18 Optio

A body of mass 2kg is driven by an engine delivering a constant power of 1J/s. The body starts from rest and moves in a straight line. After 9s, the body has moved a distance (in m)  ......
Option: 1 18
Option: 2 9
Option: 3 27
Option: 4 36

Answers (1)

best_answer

Correct Answer: 18 

\\ P=\frac{dW}{dt}=1\\ \\ W=t\\W=\frac{1}{2}m(V_2^2-V_1^2)=t \\ \\W=\frac{1}{2}mV_2^2=t\\\\V_2=V=\sqrt{t}\\\\\frac{dx}{dt}=\sqrt{t}\\\\\int dx=\int \sqrt{t}dt\\\\ x=\frac{t^\frac{3}{2}}{\frac{3}{2}}\\ \\ for \ t=9 \ sec, x=18 m

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