Power
PHXI06:WORK ENERGY AND POWER

355458 A force \({\vec{F}=(3 \hat{i}+4 \hat{j}) N}\) acts on a \(2\,kg\) movable object that moves from an initial position \({\vec{d}_{i}=(-3 \hat{i}-2 \hat{j}) m}\) to a final position \({\vec{d}_{f}=(5 \hat{i}+4 \hat{j}) m}\) in \({6 s}\). The average power delivered by the force during this interval is

1 \({8 W}\)
2 \({\dfrac{50}{6} W}\)
3 \({15 W}\)
4 \({\dfrac{50}{3} W}\)
PHXI06:WORK ENERGY AND POWER

355459 Assertion :
Kilowatt hour is the unit of power.
Reason :
One kilowatt hour is equivalent to \(1 \times 10^{4} \mathrm{~J}\).

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355460 An athlete of mass 60 \(kg\) skips at the rate of 20 steps per minute through an average height of 25 \(cm\). The power developed is:

1 49 \(W\)
2 21 \(W\)
3 98 \(W\)
4 14 \(W\)
PHXI06:WORK ENERGY AND POWER

355461 \(1000\;N\) force is required to lift a hook and \({\rm{10000 }}N\) force is requires to lift a load slowly. Find power required to lift hook with load with speed \(v = 0.5\,m{s^{ - 1}}.\)

1 \(5\;kW\)
2 \(1.5\;kW\)
3 \(5.5\;kW\)
4 \(4.5\;kW\)
PHXI06:WORK ENERGY AND POWER

355462 An electric pump is used to fill an overhead tank of capacity \(9\;{m^3}\) kept at a height of 10 \(m\) above the ground. If the pump takes 5 minutes to fill the tank by consuming 10 \(kW\) power the efficiency of the pump should be (Take \(g = 10\,m{s^{ - 2}}\) )

1 \(30 \%\)
2 \(60 \%\)
3 \(40 \%\)
4 \(20 \%\)
PHXI06:WORK ENERGY AND POWER

355458 A force \({\vec{F}=(3 \hat{i}+4 \hat{j}) N}\) acts on a \(2\,kg\) movable object that moves from an initial position \({\vec{d}_{i}=(-3 \hat{i}-2 \hat{j}) m}\) to a final position \({\vec{d}_{f}=(5 \hat{i}+4 \hat{j}) m}\) in \({6 s}\). The average power delivered by the force during this interval is

1 \({8 W}\)
2 \({\dfrac{50}{6} W}\)
3 \({15 W}\)
4 \({\dfrac{50}{3} W}\)
PHXI06:WORK ENERGY AND POWER

355459 Assertion :
Kilowatt hour is the unit of power.
Reason :
One kilowatt hour is equivalent to \(1 \times 10^{4} \mathrm{~J}\).

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355460 An athlete of mass 60 \(kg\) skips at the rate of 20 steps per minute through an average height of 25 \(cm\). The power developed is:

1 49 \(W\)
2 21 \(W\)
3 98 \(W\)
4 14 \(W\)
PHXI06:WORK ENERGY AND POWER

355461 \(1000\;N\) force is required to lift a hook and \({\rm{10000 }}N\) force is requires to lift a load slowly. Find power required to lift hook with load with speed \(v = 0.5\,m{s^{ - 1}}.\)

1 \(5\;kW\)
2 \(1.5\;kW\)
3 \(5.5\;kW\)
4 \(4.5\;kW\)
PHXI06:WORK ENERGY AND POWER

355462 An electric pump is used to fill an overhead tank of capacity \(9\;{m^3}\) kept at a height of 10 \(m\) above the ground. If the pump takes 5 minutes to fill the tank by consuming 10 \(kW\) power the efficiency of the pump should be (Take \(g = 10\,m{s^{ - 2}}\) )

1 \(30 \%\)
2 \(60 \%\)
3 \(40 \%\)
4 \(20 \%\)
PHXI06:WORK ENERGY AND POWER

355458 A force \({\vec{F}=(3 \hat{i}+4 \hat{j}) N}\) acts on a \(2\,kg\) movable object that moves from an initial position \({\vec{d}_{i}=(-3 \hat{i}-2 \hat{j}) m}\) to a final position \({\vec{d}_{f}=(5 \hat{i}+4 \hat{j}) m}\) in \({6 s}\). The average power delivered by the force during this interval is

1 \({8 W}\)
2 \({\dfrac{50}{6} W}\)
3 \({15 W}\)
4 \({\dfrac{50}{3} W}\)
PHXI06:WORK ENERGY AND POWER

355459 Assertion :
Kilowatt hour is the unit of power.
Reason :
One kilowatt hour is equivalent to \(1 \times 10^{4} \mathrm{~J}\).

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355460 An athlete of mass 60 \(kg\) skips at the rate of 20 steps per minute through an average height of 25 \(cm\). The power developed is:

1 49 \(W\)
2 21 \(W\)
3 98 \(W\)
4 14 \(W\)
PHXI06:WORK ENERGY AND POWER

355461 \(1000\;N\) force is required to lift a hook and \({\rm{10000 }}N\) force is requires to lift a load slowly. Find power required to lift hook with load with speed \(v = 0.5\,m{s^{ - 1}}.\)

1 \(5\;kW\)
2 \(1.5\;kW\)
3 \(5.5\;kW\)
4 \(4.5\;kW\)
PHXI06:WORK ENERGY AND POWER

355462 An electric pump is used to fill an overhead tank of capacity \(9\;{m^3}\) kept at a height of 10 \(m\) above the ground. If the pump takes 5 minutes to fill the tank by consuming 10 \(kW\) power the efficiency of the pump should be (Take \(g = 10\,m{s^{ - 2}}\) )

1 \(30 \%\)
2 \(60 \%\)
3 \(40 \%\)
4 \(20 \%\)
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PHXI06:WORK ENERGY AND POWER

355458 A force \({\vec{F}=(3 \hat{i}+4 \hat{j}) N}\) acts on a \(2\,kg\) movable object that moves from an initial position \({\vec{d}_{i}=(-3 \hat{i}-2 \hat{j}) m}\) to a final position \({\vec{d}_{f}=(5 \hat{i}+4 \hat{j}) m}\) in \({6 s}\). The average power delivered by the force during this interval is

1 \({8 W}\)
2 \({\dfrac{50}{6} W}\)
3 \({15 W}\)
4 \({\dfrac{50}{3} W}\)
PHXI06:WORK ENERGY AND POWER

355459 Assertion :
Kilowatt hour is the unit of power.
Reason :
One kilowatt hour is equivalent to \(1 \times 10^{4} \mathrm{~J}\).

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355460 An athlete of mass 60 \(kg\) skips at the rate of 20 steps per minute through an average height of 25 \(cm\). The power developed is:

1 49 \(W\)
2 21 \(W\)
3 98 \(W\)
4 14 \(W\)
PHXI06:WORK ENERGY AND POWER

355461 \(1000\;N\) force is required to lift a hook and \({\rm{10000 }}N\) force is requires to lift a load slowly. Find power required to lift hook with load with speed \(v = 0.5\,m{s^{ - 1}}.\)

1 \(5\;kW\)
2 \(1.5\;kW\)
3 \(5.5\;kW\)
4 \(4.5\;kW\)
PHXI06:WORK ENERGY AND POWER

355462 An electric pump is used to fill an overhead tank of capacity \(9\;{m^3}\) kept at a height of 10 \(m\) above the ground. If the pump takes 5 minutes to fill the tank by consuming 10 \(kW\) power the efficiency of the pump should be (Take \(g = 10\,m{s^{ - 2}}\) )

1 \(30 \%\)
2 \(60 \%\)
3 \(40 \%\)
4 \(20 \%\)
PHXI06:WORK ENERGY AND POWER

355458 A force \({\vec{F}=(3 \hat{i}+4 \hat{j}) N}\) acts on a \(2\,kg\) movable object that moves from an initial position \({\vec{d}_{i}=(-3 \hat{i}-2 \hat{j}) m}\) to a final position \({\vec{d}_{f}=(5 \hat{i}+4 \hat{j}) m}\) in \({6 s}\). The average power delivered by the force during this interval is

1 \({8 W}\)
2 \({\dfrac{50}{6} W}\)
3 \({15 W}\)
4 \({\dfrac{50}{3} W}\)
PHXI06:WORK ENERGY AND POWER

355459 Assertion :
Kilowatt hour is the unit of power.
Reason :
One kilowatt hour is equivalent to \(1 \times 10^{4} \mathrm{~J}\).

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355460 An athlete of mass 60 \(kg\) skips at the rate of 20 steps per minute through an average height of 25 \(cm\). The power developed is:

1 49 \(W\)
2 21 \(W\)
3 98 \(W\)
4 14 \(W\)
PHXI06:WORK ENERGY AND POWER

355461 \(1000\;N\) force is required to lift a hook and \({\rm{10000 }}N\) force is requires to lift a load slowly. Find power required to lift hook with load with speed \(v = 0.5\,m{s^{ - 1}}.\)

1 \(5\;kW\)
2 \(1.5\;kW\)
3 \(5.5\;kW\)
4 \(4.5\;kW\)
PHXI06:WORK ENERGY AND POWER

355462 An electric pump is used to fill an overhead tank of capacity \(9\;{m^3}\) kept at a height of 10 \(m\) above the ground. If the pump takes 5 minutes to fill the tank by consuming 10 \(kW\) power the efficiency of the pump should be (Take \(g = 10\,m{s^{ - 2}}\) )

1 \(30 \%\)
2 \(60 \%\)
3 \(40 \%\)
4 \(20 \%\)