Work
PHXI06:WORK ENERGY AND POWER

355843 A body of mass \(m\) starts moving from rest along \(x\)-axis so that its velocity varies as \(v=a \sqrt{s}\) where \(a\) is a constant and \(\mathrm{s}\) is the distance covered by the body. The total work done by all the forces acting on the body in the first \(t\) seconds after the start of the motion is:

1 \(\dfrac{1}{4} m a t^{2}\)
2 \(4 m a^{4} t^{2}\)
3 \(\dfrac{1}{8} m a^{4} t^{2}\)
4 \(8 m a^{4} t^{2}\)
PHXI06:WORK ENERGY AND POWER

355844 A proton is kept at rest. A positively charged particle is released from rest at a distance \(d\) in its field. Consider two experiments; one in which the charged particle is also a proton and in another, a positron. In the same time \(t\), the work done on the two moving charged particles is

1 Same as the work done by charged particle on the stationary proton
2 Same as the same force law is involved in the experiments
3 Less for the case of a position, as the positron moves away more rapidly and the force on it weakness
4 More for the case of a positron, as the positron moves away a larger distance
PHXI06:WORK ENERGY AND POWER

355845 A body of mass \(m\) is slowly pulled up the hill by a force \(F\) which at each point was directed along the tangent of the trajectory as shown in figure. All surfaces are smooth. Find the work performed by this force.
supporting img

1 \(-m g l\)
2 \(m g l\)
3 Zero
4 \(m g h\)
PHXI06:WORK ENERGY AND POWER

355846 The work done on a particle of mass \(m\) by a force, \(K\left[\dfrac{x}{\left(x^{2}+y^{2}\right)^{3 / 2}} \hat{i}+\dfrac{y}{\left(x^{2}+y^{2}\right)^{3 / 2}} \hat{j}\right]\). being a constant of appropriate dimensions),
when the particle is taken from the point \((a, 0)\) to the point \((0, a)\) along a circular path of radius \(a\) about the origin in the \(x-y\) plane is

1 0
2 \(\dfrac{K \pi}{a}\)
3 \(\dfrac{2 K \pi}{a}\)
4 \(\dfrac{K \pi}{2 a}\)
PHXI06:WORK ENERGY AND POWER

355843 A body of mass \(m\) starts moving from rest along \(x\)-axis so that its velocity varies as \(v=a \sqrt{s}\) where \(a\) is a constant and \(\mathrm{s}\) is the distance covered by the body. The total work done by all the forces acting on the body in the first \(t\) seconds after the start of the motion is:

1 \(\dfrac{1}{4} m a t^{2}\)
2 \(4 m a^{4} t^{2}\)
3 \(\dfrac{1}{8} m a^{4} t^{2}\)
4 \(8 m a^{4} t^{2}\)
PHXI06:WORK ENERGY AND POWER

355844 A proton is kept at rest. A positively charged particle is released from rest at a distance \(d\) in its field. Consider two experiments; one in which the charged particle is also a proton and in another, a positron. In the same time \(t\), the work done on the two moving charged particles is

1 Same as the work done by charged particle on the stationary proton
2 Same as the same force law is involved in the experiments
3 Less for the case of a position, as the positron moves away more rapidly and the force on it weakness
4 More for the case of a positron, as the positron moves away a larger distance
PHXI06:WORK ENERGY AND POWER

355845 A body of mass \(m\) is slowly pulled up the hill by a force \(F\) which at each point was directed along the tangent of the trajectory as shown in figure. All surfaces are smooth. Find the work performed by this force.
supporting img

1 \(-m g l\)
2 \(m g l\)
3 Zero
4 \(m g h\)
PHXI06:WORK ENERGY AND POWER

355846 The work done on a particle of mass \(m\) by a force, \(K\left[\dfrac{x}{\left(x^{2}+y^{2}\right)^{3 / 2}} \hat{i}+\dfrac{y}{\left(x^{2}+y^{2}\right)^{3 / 2}} \hat{j}\right]\). being a constant of appropriate dimensions),
when the particle is taken from the point \((a, 0)\) to the point \((0, a)\) along a circular path of radius \(a\) about the origin in the \(x-y\) plane is

1 0
2 \(\dfrac{K \pi}{a}\)
3 \(\dfrac{2 K \pi}{a}\)
4 \(\dfrac{K \pi}{2 a}\)
PHXI06:WORK ENERGY AND POWER

355843 A body of mass \(m\) starts moving from rest along \(x\)-axis so that its velocity varies as \(v=a \sqrt{s}\) where \(a\) is a constant and \(\mathrm{s}\) is the distance covered by the body. The total work done by all the forces acting on the body in the first \(t\) seconds after the start of the motion is:

1 \(\dfrac{1}{4} m a t^{2}\)
2 \(4 m a^{4} t^{2}\)
3 \(\dfrac{1}{8} m a^{4} t^{2}\)
4 \(8 m a^{4} t^{2}\)
PHXI06:WORK ENERGY AND POWER

355844 A proton is kept at rest. A positively charged particle is released from rest at a distance \(d\) in its field. Consider two experiments; one in which the charged particle is also a proton and in another, a positron. In the same time \(t\), the work done on the two moving charged particles is

1 Same as the work done by charged particle on the stationary proton
2 Same as the same force law is involved in the experiments
3 Less for the case of a position, as the positron moves away more rapidly and the force on it weakness
4 More for the case of a positron, as the positron moves away a larger distance
PHXI06:WORK ENERGY AND POWER

355845 A body of mass \(m\) is slowly pulled up the hill by a force \(F\) which at each point was directed along the tangent of the trajectory as shown in figure. All surfaces are smooth. Find the work performed by this force.
supporting img

1 \(-m g l\)
2 \(m g l\)
3 Zero
4 \(m g h\)
PHXI06:WORK ENERGY AND POWER

355846 The work done on a particle of mass \(m\) by a force, \(K\left[\dfrac{x}{\left(x^{2}+y^{2}\right)^{3 / 2}} \hat{i}+\dfrac{y}{\left(x^{2}+y^{2}\right)^{3 / 2}} \hat{j}\right]\). being a constant of appropriate dimensions),
when the particle is taken from the point \((a, 0)\) to the point \((0, a)\) along a circular path of radius \(a\) about the origin in the \(x-y\) plane is

1 0
2 \(\dfrac{K \pi}{a}\)
3 \(\dfrac{2 K \pi}{a}\)
4 \(\dfrac{K \pi}{2 a}\)
PHXI06:WORK ENERGY AND POWER

355843 A body of mass \(m\) starts moving from rest along \(x\)-axis so that its velocity varies as \(v=a \sqrt{s}\) where \(a\) is a constant and \(\mathrm{s}\) is the distance covered by the body. The total work done by all the forces acting on the body in the first \(t\) seconds after the start of the motion is:

1 \(\dfrac{1}{4} m a t^{2}\)
2 \(4 m a^{4} t^{2}\)
3 \(\dfrac{1}{8} m a^{4} t^{2}\)
4 \(8 m a^{4} t^{2}\)
PHXI06:WORK ENERGY AND POWER

355844 A proton is kept at rest. A positively charged particle is released from rest at a distance \(d\) in its field. Consider two experiments; one in which the charged particle is also a proton and in another, a positron. In the same time \(t\), the work done on the two moving charged particles is

1 Same as the work done by charged particle on the stationary proton
2 Same as the same force law is involved in the experiments
3 Less for the case of a position, as the positron moves away more rapidly and the force on it weakness
4 More for the case of a positron, as the positron moves away a larger distance
PHXI06:WORK ENERGY AND POWER

355845 A body of mass \(m\) is slowly pulled up the hill by a force \(F\) which at each point was directed along the tangent of the trajectory as shown in figure. All surfaces are smooth. Find the work performed by this force.
supporting img

1 \(-m g l\)
2 \(m g l\)
3 Zero
4 \(m g h\)
PHXI06:WORK ENERGY AND POWER

355846 The work done on a particle of mass \(m\) by a force, \(K\left[\dfrac{x}{\left(x^{2}+y^{2}\right)^{3 / 2}} \hat{i}+\dfrac{y}{\left(x^{2}+y^{2}\right)^{3 / 2}} \hat{j}\right]\). being a constant of appropriate dimensions),
when the particle is taken from the point \((a, 0)\) to the point \((0, a)\) along a circular path of radius \(a\) about the origin in the \(x-y\) plane is

1 0
2 \(\dfrac{K \pi}{a}\)
3 \(\dfrac{2 K \pi}{a}\)
4 \(\dfrac{K \pi}{2 a}\)