A motor of the lift provides a force of 20 kN which rises it by 18 m in 10 s, the output power of motor is
A)36 kW
B)46 kW
C)56 kW
D)66 kW

Question

Quizplus · Accepted Answer

The output power of the motor can be calculated using the formula for power, which is $P = \frac{W}{t}$, where $W$ is work done and $t$ is time. Work done $W$ can be calculated as the product of force and distance, $W = F \times d$. Given that the force $F = 20$ kN (which is $20000$ N to convert kN to N) and the distance $d = 18$ m, the work done $W = 20000 \times 18 = 360000$ Joules. The time $t = 10$ s, so the power $P = \frac{360000}{10} = 36000$ Watts or $36$ kW.

A Motor of the Lift Provides a Force of 20