(D) Given: Mass $m = 6 \,kg$, Displacement $s = \frac{t^2}{4} \,m$.Velocity $v = \frac{ds}{dt} = \frac{d}{dt}(\frac{t^2}{4}) = \frac{2t}{4} = \frac{t}

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(D) Given: Mass $m = 6 \,kg$, Displacement $s = \frac{t^2}{4} \,m$.Velocity $v = \frac{ds}{dt} = \frac{d}{dt}(\frac{t^2}{4}) = \frac{2t}{4} = \frac{t}{2} \,m/s$.Acceleration $a = \frac{dv}{dt} = \frac{d}{dt}(\frac{t}{2}) = \frac{1}{2} \,m/s^2$.Force $F = m \times a = 6 \times \frac{1}{2} = 3 \,N$.At $t = 2 \,s$, displacement $s = \frac{(2)^2}{4} = \frac{4}{4} = 1 \,m$.Work done $W = F \times s = 3 \,N \times 1 \,m = 3 \,J$.

Class 11 Physics Work, Energy, Power and Collision Work Done by Constant Force

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$A$ body of mass $6 \,kg$ is under a force which causes displacement in it given by $s = \frac{t^2}{4} \,m$, where $t$ is time in seconds. The work done by the force in $2 \,s$ is: (in $\,J$)

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Work Done by Constant Force

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$A$ body of mass $6 \,kg$ is under a force which causes displacement in it given by $s = \frac{t^2}{4} \,m$, where $t$ is time in seconds. The work done by the force in $2 \,s$ is: (in $\,J$)

Similar Questions

$A$ body,acted upon by a force of $50 \, N$,is displaced through a distance of $10 \, m$ in a direction making an angle of $60^\circ$ with the force. The work done by the force is .......... $J$.

$A$ force of $(4\hat i + \hat j + 3\hat k) \, N$ acts on a body,causing its displacement from $(3\hat i + 2\hat j - 6\hat k) \, m$ to $(14\hat i + 13\hat j + 9\hat k) \, m$. Calculate the work done in $J$.

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