Question

an electric motor can lift a weight 2000 N through a height of 10m in 20s. What is the power output of the motor.

Answer 1

Answer:

1000 joules

Explanation:

we know that,

work = force × displacement

=2000 ×10 =20000 joule

we also know,

power = work done /time

20000/20 = 1000

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Answer 2

Answer

• Output power of the motor = 1000 W

Given

• An electric motor can lift a weight 2000 N through a height of 10 m in 20 s

To Find

• Output power of the motor

Concept Used

Power

• It is defined as work done per unit time

$\rm \bullet \;\;\; Power=\dfrac{Work\ done}{Time}$

Work

• It is defined as dot product of force and displacement

$\rm \bullet \;\;\; Work=Force.Displacement$

Solution

Weight = Force , F = 2000 N

Height = Displacement , s = 10 m

Time , t = 20 s

Now , calculate work done .

$\implies \rm Work\ done=Force.Displacement\\\\\implies \rm W=F.s\\\\\implies \rm W=2000.10\\\\\implies \rm W=20000\ J$

Output power of the motor ,

$\rm Power=\dfrac{Work\ done}{time}\\\\\implies \rm P=\dfrac{W}{t}\\\\\implies \rm P=\dfrac{20000}{20}\\\\\implies \rm P=\dfrac{2000}{2}\\\\\implies \rm P=1000\ W$

More Info

• SI unit of Work , W is Joule or N-m
• SI unit of Force , F is Newton or Kg-m/s²
• SI unit of Displacement , s is meter
• SI unit power , P is Watt
• SI unit of Time , t is second