Power
PHXI06:WORK ENERGY AND POWER

355514 Sand is being dropped from a stationary dropper at a rate of \(0.5\;kg\;{s^{ - 1}}\) on a convey or belt moving with a velocity of \(5\;m{s^{ - 1}}\). The power needed to keep the belt moving with the same velocity will be

1 \(1.25\,W\)
2 \(2.5\,W\)
3 \(6.25\,W\)
4 \(12.5\,W\)
PHXI06:WORK ENERGY AND POWER

355515 A one -ton car moves with a constant velocity of \(15 \mathrm{~ms}^{-1}\) on a rough horizontal road. The total resistance to the motion of the car is \(12 \%\) of the weight of the car. The power required to keep the car moving with the same constant velocity of \(15\;m{s^{ - 1}}\) is [Take \(g = 10\;m{s^{ - 2}}\) ]

1 18 \(kW\)
2 9 \(kW\)
3 36 \(kW\)
4 24 \(kW\)
PHXI06:WORK ENERGY AND POWER

355516 Power applied to a particle varies with time as \(P = \left( {3{t^2} - 2t + 1} \right)W\), there \(t\) is in second. Find the change in its kinetic energy between \(t = 2s\) and \(t = 4s\)

1 32 \(J\)
2 46 \(J\)
3 61 \(J\)
4 102 \(J\)
PHXI06:WORK ENERGY AND POWER

355517 A constant power \(P\) is applied to a particle of mass \(m\). The distance travelled by the particle when its velocity increases from \(v_{1}\) and \(v_{2}\) is (neglect friction):

1 \(\dfrac{m}{3 P}\left(v_{2}^{2}-v_{1}^{2}\right)\)
2 \(\dfrac{3 P}{m}\left(v_{2}^{2}-v_{1}^{2}\right)\)
3 \(\dfrac{m}{3 P}\left(v_{2}^{3}-v_{1}^{3}\right)\)
4 \(\dfrac{m}{3 P}\left(v_{2}-v_{1}\right)\)
PHXI06:WORK ENERGY AND POWER

355514 Sand is being dropped from a stationary dropper at a rate of \(0.5\;kg\;{s^{ - 1}}\) on a convey or belt moving with a velocity of \(5\;m{s^{ - 1}}\). The power needed to keep the belt moving with the same velocity will be

1 \(1.25\,W\)
2 \(2.5\,W\)
3 \(6.25\,W\)
4 \(12.5\,W\)
PHXI06:WORK ENERGY AND POWER

355515 A one -ton car moves with a constant velocity of \(15 \mathrm{~ms}^{-1}\) on a rough horizontal road. The total resistance to the motion of the car is \(12 \%\) of the weight of the car. The power required to keep the car moving with the same constant velocity of \(15\;m{s^{ - 1}}\) is [Take \(g = 10\;m{s^{ - 2}}\) ]

1 18 \(kW\)
2 9 \(kW\)
3 36 \(kW\)
4 24 \(kW\)
PHXI06:WORK ENERGY AND POWER

355516 Power applied to a particle varies with time as \(P = \left( {3{t^2} - 2t + 1} \right)W\), there \(t\) is in second. Find the change in its kinetic energy between \(t = 2s\) and \(t = 4s\)

1 32 \(J\)
2 46 \(J\)
3 61 \(J\)
4 102 \(J\)
PHXI06:WORK ENERGY AND POWER

355517 A constant power \(P\) is applied to a particle of mass \(m\). The distance travelled by the particle when its velocity increases from \(v_{1}\) and \(v_{2}\) is (neglect friction):

1 \(\dfrac{m}{3 P}\left(v_{2}^{2}-v_{1}^{2}\right)\)
2 \(\dfrac{3 P}{m}\left(v_{2}^{2}-v_{1}^{2}\right)\)
3 \(\dfrac{m}{3 P}\left(v_{2}^{3}-v_{1}^{3}\right)\)
4 \(\dfrac{m}{3 P}\left(v_{2}-v_{1}\right)\)
PHXI06:WORK ENERGY AND POWER

355514 Sand is being dropped from a stationary dropper at a rate of \(0.5\;kg\;{s^{ - 1}}\) on a convey or belt moving with a velocity of \(5\;m{s^{ - 1}}\). The power needed to keep the belt moving with the same velocity will be

1 \(1.25\,W\)
2 \(2.5\,W\)
3 \(6.25\,W\)
4 \(12.5\,W\)
PHXI06:WORK ENERGY AND POWER

355515 A one -ton car moves with a constant velocity of \(15 \mathrm{~ms}^{-1}\) on a rough horizontal road. The total resistance to the motion of the car is \(12 \%\) of the weight of the car. The power required to keep the car moving with the same constant velocity of \(15\;m{s^{ - 1}}\) is [Take \(g = 10\;m{s^{ - 2}}\) ]

1 18 \(kW\)
2 9 \(kW\)
3 36 \(kW\)
4 24 \(kW\)
PHXI06:WORK ENERGY AND POWER

355516 Power applied to a particle varies with time as \(P = \left( {3{t^2} - 2t + 1} \right)W\), there \(t\) is in second. Find the change in its kinetic energy between \(t = 2s\) and \(t = 4s\)

1 32 \(J\)
2 46 \(J\)
3 61 \(J\)
4 102 \(J\)
PHXI06:WORK ENERGY AND POWER

355517 A constant power \(P\) is applied to a particle of mass \(m\). The distance travelled by the particle when its velocity increases from \(v_{1}\) and \(v_{2}\) is (neglect friction):

1 \(\dfrac{m}{3 P}\left(v_{2}^{2}-v_{1}^{2}\right)\)
2 \(\dfrac{3 P}{m}\left(v_{2}^{2}-v_{1}^{2}\right)\)
3 \(\dfrac{m}{3 P}\left(v_{2}^{3}-v_{1}^{3}\right)\)
4 \(\dfrac{m}{3 P}\left(v_{2}-v_{1}\right)\)
PHXI06:WORK ENERGY AND POWER

355514 Sand is being dropped from a stationary dropper at a rate of \(0.5\;kg\;{s^{ - 1}}\) on a convey or belt moving with a velocity of \(5\;m{s^{ - 1}}\). The power needed to keep the belt moving with the same velocity will be

1 \(1.25\,W\)
2 \(2.5\,W\)
3 \(6.25\,W\)
4 \(12.5\,W\)
PHXI06:WORK ENERGY AND POWER

355515 A one -ton car moves with a constant velocity of \(15 \mathrm{~ms}^{-1}\) on a rough horizontal road. The total resistance to the motion of the car is \(12 \%\) of the weight of the car. The power required to keep the car moving with the same constant velocity of \(15\;m{s^{ - 1}}\) is [Take \(g = 10\;m{s^{ - 2}}\) ]

1 18 \(kW\)
2 9 \(kW\)
3 36 \(kW\)
4 24 \(kW\)
PHXI06:WORK ENERGY AND POWER

355516 Power applied to a particle varies with time as \(P = \left( {3{t^2} - 2t + 1} \right)W\), there \(t\) is in second. Find the change in its kinetic energy between \(t = 2s\) and \(t = 4s\)

1 32 \(J\)
2 46 \(J\)
3 61 \(J\)
4 102 \(J\)
PHXI06:WORK ENERGY AND POWER

355517 A constant power \(P\) is applied to a particle of mass \(m\). The distance travelled by the particle when its velocity increases from \(v_{1}\) and \(v_{2}\) is (neglect friction):

1 \(\dfrac{m}{3 P}\left(v_{2}^{2}-v_{1}^{2}\right)\)
2 \(\dfrac{3 P}{m}\left(v_{2}^{2}-v_{1}^{2}\right)\)
3 \(\dfrac{m}{3 P}\left(v_{2}^{3}-v_{1}^{3}\right)\)
4 \(\dfrac{m}{3 P}\left(v_{2}-v_{1}\right)\)