Power
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NEET DIGITAL LIBRARY
PHXI06:WORK ENERGY AND POWER

355510 A vehicle of mass \(M\) is accelerated on a horizontal frictionless road under a force changing its velocity from \(u\) to \(v\) in distance \(S\). A constant power \(P\) is given by the engine of the vehicle, then \(v=\)

1 \(\left(\dfrac{P S}{M}+u^{3}\right)^{1 / 2}\)
2 \(\left(u^{3}+\dfrac{2 P S}{M}\right)^{1 / 3}\)
3 \(\left(\dfrac{3 P S}{M}+u^{3}\right)^{1 / 3}\)
4 \(\left(\dfrac{P S}{M}-u^{3}\right)^{1 / 3}\)
PHXI06:WORK ENERGY AND POWER

355511 A body of mass \(10\;kg\) moves with a velocity \(2\;m{s^{ - 1}}\) along a circular path of radius \(8\;m.\) The power produced by the body will be

1 \(10\,J{s^{ - 1}}\)
2 \(98\,J{s^{ - 1}}\)
3 \(49\,J{s^{ - 1}}\)
4 zero
PHXI06:WORK ENERGY AND POWER

355512 A motor is used to deliver water at a certain rate through a given horizontal pipe to deliver ntime the water through the same pipe in the same time the power of the motor must be increased as follows:

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

355513 An engine pump is used to pump a liquid of density \(\rho\) continuously through a pipe of cross-sectional area \(A\). If the speed of flow of the liquid in the pipe is \(v\), then the rate at which kinetic energy is being imparted to the liquid is

1 \(\dfrac{1}{2} A \rho v^{2}\)
2 \(\dfrac{1}{2} A \rho v^{3}\)
3 \(A \rho v\)
4 \(\dfrac{1}{2} A \rho v\)
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PHXI06:WORK ENERGY AND POWER

355510 A vehicle of mass \(M\) is accelerated on a horizontal frictionless road under a force changing its velocity from \(u\) to \(v\) in distance \(S\). A constant power \(P\) is given by the engine of the vehicle, then \(v=\)

1 \(\left(\dfrac{P S}{M}+u^{3}\right)^{1 / 2}\)
2 \(\left(u^{3}+\dfrac{2 P S}{M}\right)^{1 / 3}\)
3 \(\left(\dfrac{3 P S}{M}+u^{3}\right)^{1 / 3}\)
4 \(\left(\dfrac{P S}{M}-u^{3}\right)^{1 / 3}\)
PHXI06:WORK ENERGY AND POWER

355511 A body of mass \(10\;kg\) moves with a velocity \(2\;m{s^{ - 1}}\) along a circular path of radius \(8\;m.\) The power produced by the body will be

1 \(10\,J{s^{ - 1}}\)
2 \(98\,J{s^{ - 1}}\)
3 \(49\,J{s^{ - 1}}\)
4 zero
PHXI06:WORK ENERGY AND POWER

355512 A motor is used to deliver water at a certain rate through a given horizontal pipe to deliver ntime the water through the same pipe in the same time the power of the motor must be increased as follows:

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

355513 An engine pump is used to pump a liquid of density \(\rho\) continuously through a pipe of cross-sectional area \(A\). If the speed of flow of the liquid in the pipe is \(v\), then the rate at which kinetic energy is being imparted to the liquid is

1 \(\dfrac{1}{2} A \rho v^{2}\)
2 \(\dfrac{1}{2} A \rho v^{3}\)
3 \(A \rho v\)
4 \(\dfrac{1}{2} A \rho v\)
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PHXI06:WORK ENERGY AND POWER

355510 A vehicle of mass \(M\) is accelerated on a horizontal frictionless road under a force changing its velocity from \(u\) to \(v\) in distance \(S\). A constant power \(P\) is given by the engine of the vehicle, then \(v=\)

1 \(\left(\dfrac{P S}{M}+u^{3}\right)^{1 / 2}\)
2 \(\left(u^{3}+\dfrac{2 P S}{M}\right)^{1 / 3}\)
3 \(\left(\dfrac{3 P S}{M}+u^{3}\right)^{1 / 3}\)
4 \(\left(\dfrac{P S}{M}-u^{3}\right)^{1 / 3}\)
PHXI06:WORK ENERGY AND POWER

355511 A body of mass \(10\;kg\) moves with a velocity \(2\;m{s^{ - 1}}\) along a circular path of radius \(8\;m.\) The power produced by the body will be

1 \(10\,J{s^{ - 1}}\)
2 \(98\,J{s^{ - 1}}\)
3 \(49\,J{s^{ - 1}}\)
4 zero
PHXI06:WORK ENERGY AND POWER

355512 A motor is used to deliver water at a certain rate through a given horizontal pipe to deliver ntime the water through the same pipe in the same time the power of the motor must be increased as follows:

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

355513 An engine pump is used to pump a liquid of density \(\rho\) continuously through a pipe of cross-sectional area \(A\). If the speed of flow of the liquid in the pipe is \(v\), then the rate at which kinetic energy is being imparted to the liquid is

1 \(\dfrac{1}{2} A \rho v^{2}\)
2 \(\dfrac{1}{2} A \rho v^{3}\)
3 \(A \rho v\)
4 \(\dfrac{1}{2} A \rho v\)
NEET DIGITAL LIBRARY
PHXI06:WORK ENERGY AND POWER

355510 A vehicle of mass \(M\) is accelerated on a horizontal frictionless road under a force changing its velocity from \(u\) to \(v\) in distance \(S\). A constant power \(P\) is given by the engine of the vehicle, then \(v=\)

1 \(\left(\dfrac{P S}{M}+u^{3}\right)^{1 / 2}\)
2 \(\left(u^{3}+\dfrac{2 P S}{M}\right)^{1 / 3}\)
3 \(\left(\dfrac{3 P S}{M}+u^{3}\right)^{1 / 3}\)
4 \(\left(\dfrac{P S}{M}-u^{3}\right)^{1 / 3}\)
PHXI06:WORK ENERGY AND POWER

355511 A body of mass \(10\;kg\) moves with a velocity \(2\;m{s^{ - 1}}\) along a circular path of radius \(8\;m.\) The power produced by the body will be

1 \(10\,J{s^{ - 1}}\)
2 \(98\,J{s^{ - 1}}\)
3 \(49\,J{s^{ - 1}}\)
4 zero
PHXI06:WORK ENERGY AND POWER

355512 A motor is used to deliver water at a certain rate through a given horizontal pipe to deliver ntime the water through the same pipe in the same time the power of the motor must be increased as follows:

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

355513 An engine pump is used to pump a liquid of density \(\rho\) continuously through a pipe of cross-sectional area \(A\). If the speed of flow of the liquid in the pipe is \(v\), then the rate at which kinetic energy is being imparted to the liquid is

1 \(\dfrac{1}{2} A \rho v^{2}\)
2 \(\dfrac{1}{2} A \rho v^{3}\)
3 \(A \rho v\)
4 \(\dfrac{1}{2} A \rho v\)
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