A body of mass 6kg is acted upon by a force which causes a displacement in it given by x=t24 metre where t is the time in second. The work done by the force in 2 seconds is __J.

x=t24 dxdt=vel=t2At t=0 we get u=02=0m/s At t=1s we get V=12m/s At t=2s we get V=22=1m/sW=12mv2−12mu2=12×6×1=3J

A body of mass 6kg is acted upon by a force which causes a displacement in it given by x=t24 metre where t is the time in second. The work done by the force in 2 seconds is __J.

x=t24 dxdt=vel=t2At t=0 we get u=02=0m/s At t=1s we get V=12m/s At t=2s we get V=22=1m/sW=12mv2−12mu2=12×6×1=3J

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A body of mass $6 k g$ is acted upon by a force which causes a displacement in it given by $x = \frac{t^{2}}{4}$ metre where $t$ is the time in second. The work done by the force in 2 seconds is __J.

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$x = \frac{t^{2}}{4}$

$\frac{d x}{d t} = v e l = \frac{t}{2}$

$A t t = 0 w e g e t u = \frac{0}{2} = 0 m / s A t t = 1 s w e g e t V = \frac{1}{2} m / s A t t = 2 s w e g e t V = \frac{2}{2} = 1 m / s$

$W = \frac{1}{2} m v^{2} - \frac{1}{2} m u^{2}$

$= \frac{1}{2} \times 6 \times 1 = 3 J$

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A body of mass 6kg is acted upon by a force which causes a displacement in it given by x=t24 metre where t is the time in second. The work done by the force in 2 seconds is __J.

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A body of mass $6 k g$ is acted upon by a force which causes a displacement in it given by $x = \frac{t^{2}}{4}$ metre where $t$ is the time in second. The work done by the force in 2 seconds is __J.