Work
PHXI06:WORK ENERGY AND POWER

355813 A force \(F=-(y \hat{i}+x \hat{j})\) acts on a particle moving in the \(X-Y\) plane. Starting from the origin, the particle is taken along the positive \(X\)-axis to the point \((2 a, 0)\) and then parallel to the \(Y\)-axis to the point \((2 a, 2 a)\). The total work done on the particle is

1 \(-4 a^{2}\)
2 \(-2 a^{2}\)
3 \(4 a^{2}\)
4 \(2 a^{2}\)
PHXI06:WORK ENERGY AND POWER

355814 A particle moves under the effect of a force \(F=C x\) from \(x=0\) to \(x=x_{1}\). The work done in the process is

1 Zero
2 \(C x_{1}^{2}\)
3 \(\dfrac{1}{2} C x_{1}^{2}\)
4 \(C x_{1}\)
PHXI06:WORK ENERGY AND POWER

355815 A particle of mass \(1\,kg\) is moving along \({x}\)-axis, and a force \({F}\) is also acting along \({x}\)-axis in a way that its displacement is varying as \({x=3 t^{2}}\). Find the work done by force when it covers a distance of \({2 m}\)

1 \({12 J}\)
2 \({16 J}\)
3 \({32 J}\)
4 \({42 J}\)
PHXI06:WORK ENERGY AND POWER

355816 Given \(\vec{F}=\left(x y^{2}\right) \hat{i}+\left(x^{2} y\right) \hat{j} N\). The work done by \(\vec{F}\) when a particle is taken along the semicircular path \(OAB\) where the coordinates of \(B\) are \((4,0)\) is
supporting img

1 \(\dfrac{65}{3} J\)
2 \(\dfrac{75}{2} J\)
3 \(\dfrac{73}{4} J\)
4 Zero
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PHXI06:WORK ENERGY AND POWER

355813 A force \(F=-(y \hat{i}+x \hat{j})\) acts on a particle moving in the \(X-Y\) plane. Starting from the origin, the particle is taken along the positive \(X\)-axis to the point \((2 a, 0)\) and then parallel to the \(Y\)-axis to the point \((2 a, 2 a)\). The total work done on the particle is

1 \(-4 a^{2}\)
2 \(-2 a^{2}\)
3 \(4 a^{2}\)
4 \(2 a^{2}\)
PHXI06:WORK ENERGY AND POWER

355814 A particle moves under the effect of a force \(F=C x\) from \(x=0\) to \(x=x_{1}\). The work done in the process is

1 Zero
2 \(C x_{1}^{2}\)
3 \(\dfrac{1}{2} C x_{1}^{2}\)
4 \(C x_{1}\)
PHXI06:WORK ENERGY AND POWER

355815 A particle of mass \(1\,kg\) is moving along \({x}\)-axis, and a force \({F}\) is also acting along \({x}\)-axis in a way that its displacement is varying as \({x=3 t^{2}}\). Find the work done by force when it covers a distance of \({2 m}\)

1 \({12 J}\)
2 \({16 J}\)
3 \({32 J}\)
4 \({42 J}\)
PHXI06:WORK ENERGY AND POWER

355816 Given \(\vec{F}=\left(x y^{2}\right) \hat{i}+\left(x^{2} y\right) \hat{j} N\). The work done by \(\vec{F}\) when a particle is taken along the semicircular path \(OAB\) where the coordinates of \(B\) are \((4,0)\) is
supporting img

1 \(\dfrac{65}{3} J\)
2 \(\dfrac{75}{2} J\)
3 \(\dfrac{73}{4} J\)
4 Zero
PHXI06:WORK ENERGY AND POWER

355813 A force \(F=-(y \hat{i}+x \hat{j})\) acts on a particle moving in the \(X-Y\) plane. Starting from the origin, the particle is taken along the positive \(X\)-axis to the point \((2 a, 0)\) and then parallel to the \(Y\)-axis to the point \((2 a, 2 a)\). The total work done on the particle is

1 \(-4 a^{2}\)
2 \(-2 a^{2}\)
3 \(4 a^{2}\)
4 \(2 a^{2}\)
PHXI06:WORK ENERGY AND POWER

355814 A particle moves under the effect of a force \(F=C x\) from \(x=0\) to \(x=x_{1}\). The work done in the process is

1 Zero
2 \(C x_{1}^{2}\)
3 \(\dfrac{1}{2} C x_{1}^{2}\)
4 \(C x_{1}\)
PHXI06:WORK ENERGY AND POWER

355815 A particle of mass \(1\,kg\) is moving along \({x}\)-axis, and a force \({F}\) is also acting along \({x}\)-axis in a way that its displacement is varying as \({x=3 t^{2}}\). Find the work done by force when it covers a distance of \({2 m}\)

1 \({12 J}\)
2 \({16 J}\)
3 \({32 J}\)
4 \({42 J}\)
PHXI06:WORK ENERGY AND POWER

355816 Given \(\vec{F}=\left(x y^{2}\right) \hat{i}+\left(x^{2} y\right) \hat{j} N\). The work done by \(\vec{F}\) when a particle is taken along the semicircular path \(OAB\) where the coordinates of \(B\) are \((4,0)\) is
supporting img

1 \(\dfrac{65}{3} J\)
2 \(\dfrac{75}{2} J\)
3 \(\dfrac{73}{4} J\)
4 Zero
PHXI06:WORK ENERGY AND POWER

355813 A force \(F=-(y \hat{i}+x \hat{j})\) acts on a particle moving in the \(X-Y\) plane. Starting from the origin, the particle is taken along the positive \(X\)-axis to the point \((2 a, 0)\) and then parallel to the \(Y\)-axis to the point \((2 a, 2 a)\). The total work done on the particle is

1 \(-4 a^{2}\)
2 \(-2 a^{2}\)
3 \(4 a^{2}\)
4 \(2 a^{2}\)
PHXI06:WORK ENERGY AND POWER

355814 A particle moves under the effect of a force \(F=C x\) from \(x=0\) to \(x=x_{1}\). The work done in the process is

1 Zero
2 \(C x_{1}^{2}\)
3 \(\dfrac{1}{2} C x_{1}^{2}\)
4 \(C x_{1}\)
PHXI06:WORK ENERGY AND POWER

355815 A particle of mass \(1\,kg\) is moving along \({x}\)-axis, and a force \({F}\) is also acting along \({x}\)-axis in a way that its displacement is varying as \({x=3 t^{2}}\). Find the work done by force when it covers a distance of \({2 m}\)

1 \({12 J}\)
2 \({16 J}\)
3 \({32 J}\)
4 \({42 J}\)
PHXI06:WORK ENERGY AND POWER

355816 Given \(\vec{F}=\left(x y^{2}\right) \hat{i}+\left(x^{2} y\right) \hat{j} N\). The work done by \(\vec{F}\) when a particle is taken along the semicircular path \(OAB\) where the coordinates of \(B\) are \((4,0)\) is
supporting img

1 \(\dfrac{65}{3} J\)
2 \(\dfrac{75}{2} J\)
3 \(\dfrac{73}{4} J\)
4 Zero