Power
PHXI06:WORK ENERGY AND POWER

355493 A pump motor is used to deliver water at a certain rate from a given pipe. To obtain thrice as much water from the pipe in the same time power of the motor has to be increased:

1 3 times
2 9 times
3 27 times
4 81 times
PHXI06:WORK ENERGY AND POWER

355494 An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

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

355495 An electric lift with a maximum load of 2000 \(kg\) (lift + passengers) is moving up with a constant speed of \(1.5\;m{s^{ - 1}}\). The frictional force opposing the motion is 3000 \(N\). The minimum power delivered by the motor to the lift in watts is:\((g = 10\,m{s^{ - 2}})\)

1 20000
2 34500
3 23500
4 23000
PHXI06:WORK ENERGY AND POWER

355496 A force of \(2\hat i + 3\hat j + 4\hat k\,N\) acts on a body for 4 second, produces a displacement of \((3\hat i + 4\hat j + 5\hat k)m\). The power used is

1 45 \(W\)
2 9.5 \(W\)
3 6.5 \(W\)
4 7.5 \(W\)
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PHXI06:WORK ENERGY AND POWER

355493 A pump motor is used to deliver water at a certain rate from a given pipe. To obtain thrice as much water from the pipe in the same time power of the motor has to be increased:

1 3 times
2 9 times
3 27 times
4 81 times
PHXI06:WORK ENERGY AND POWER

355494 An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

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

355495 An electric lift with a maximum load of 2000 \(kg\) (lift + passengers) is moving up with a constant speed of \(1.5\;m{s^{ - 1}}\). The frictional force opposing the motion is 3000 \(N\). The minimum power delivered by the motor to the lift in watts is:\((g = 10\,m{s^{ - 2}})\)

1 20000
2 34500
3 23500
4 23000
PHXI06:WORK ENERGY AND POWER

355496 A force of \(2\hat i + 3\hat j + 4\hat k\,N\) acts on a body for 4 second, produces a displacement of \((3\hat i + 4\hat j + 5\hat k)m\). The power used is

1 45 \(W\)
2 9.5 \(W\)
3 6.5 \(W\)
4 7.5 \(W\)
PHXI06:WORK ENERGY AND POWER

355493 A pump motor is used to deliver water at a certain rate from a given pipe. To obtain thrice as much water from the pipe in the same time power of the motor has to be increased:

1 3 times
2 9 times
3 27 times
4 81 times
PHXI06:WORK ENERGY AND POWER

355494 An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

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

355495 An electric lift with a maximum load of 2000 \(kg\) (lift + passengers) is moving up with a constant speed of \(1.5\;m{s^{ - 1}}\). The frictional force opposing the motion is 3000 \(N\). The minimum power delivered by the motor to the lift in watts is:\((g = 10\,m{s^{ - 2}})\)

1 20000
2 34500
3 23500
4 23000
PHXI06:WORK ENERGY AND POWER

355496 A force of \(2\hat i + 3\hat j + 4\hat k\,N\) acts on a body for 4 second, produces a displacement of \((3\hat i + 4\hat j + 5\hat k)m\). The power used is

1 45 \(W\)
2 9.5 \(W\)
3 6.5 \(W\)
4 7.5 \(W\)
PHXI06:WORK ENERGY AND POWER

355493 A pump motor is used to deliver water at a certain rate from a given pipe. To obtain thrice as much water from the pipe in the same time power of the motor has to be increased:

1 3 times
2 9 times
3 27 times
4 81 times
PHXI06:WORK ENERGY AND POWER

355494 An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

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

355495 An electric lift with a maximum load of 2000 \(kg\) (lift + passengers) is moving up with a constant speed of \(1.5\;m{s^{ - 1}}\). The frictional force opposing the motion is 3000 \(N\). The minimum power delivered by the motor to the lift in watts is:\((g = 10\,m{s^{ - 2}})\)

1 20000
2 34500
3 23500
4 23000
PHXI06:WORK ENERGY AND POWER

355496 A force of \(2\hat i + 3\hat j + 4\hat k\,N\) acts on a body for 4 second, produces a displacement of \((3\hat i + 4\hat j + 5\hat k)m\). The power used is

1 45 \(W\)
2 9.5 \(W\)
3 6.5 \(W\)
4 7.5 \(W\)