Question

Arun is travelling with his friends in a car. The car suddenly stops due to some problem in the engine. Arun and his friends apply a force of $1000N$ to drag the car to the nearest garage with a displacement of $1.2km$ from that place. Determine the total power applied by them, if they dragged it to the nearest garage in $20$ minutes.

• A. $2000W$
• B. $3000W$
• C. $1000W$
• D. $500W$

Answer 1

The correct option is C

$1000W$

Given,
Force, $F=1000N$
Displacement, $s=1.2km$
We know that,
Work done = Force x displacement
$\Rightarrow$Work done =$1000\times 1.2\times 1000Nm$
=$12\times {10}^{5}J$.
Now, the total power required can be calculated as,
Power = $\frac{\text{Work done}}{\text{Total time taken}}$
Power = $\frac{12\times {10}^5}{20\times 60}$ = $1000W$.