A body of mass 2 kg is being dragged with

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A body of mass $2\, kg$ is being dragged with uniform velocity of $2\, m/s$ on a rough horizontal plane. The coefficient of friction between the body and the surface is $0.20$. The amount of heat generated in $5 sec$ is ........ $cal$ $(J = 4.2\,joule/cal$ and $g = 9.8\,m/{s^2})$

A

$9.33$

B

$10.21$

C

$12.67$

D

$13.34$

A body of mass $2\, kg$ is being dragged with uniform velocity of $2\, m/s$ on a rough horizontal plane. The coefficient of friction between the body and the surface is $0.20$. The amount of heat generated in $5 sec$ is ........ $cal$ $(J = 4.2\,joule/cal$ and $g = 9.8\,m/{s^2})$

Work done = Force $×$ Displacement

$ = \mu \;mg \times (v \times t)$ 

$W = (0.2) \times 2 \times 9.8 \times 2 \times 5\;joule$ 

Heat generated $Q = \frac{W}{J}$ $ = \frac{{0.2 \times 2 \times 9.8 \times 2 \times 5}}{{4.2}}$ $ = 9.33\,cal$