Question

A loaded elevator has a mass of 2.50 x 10^3 kg and is raised in 10.0s to a height of 50.0 m. How many kilowatts are required?

Answer 1

Answer:

122.5 kW

Explanation:

m = mass of the loaded elevator = 2.50 x 10³ kg = 2500 kg

t = time taken to raise the elevator = 10.0 s

h = height gained by the elevator = 50.0 m

g = acceleration due to gravity = 9.8 m/s²

Power spent is given as

P = $\frac{mgh}{t}$

Inserting the values

P = $\frac{(2500) (9.8) (50.0)}{10.0}$

P = 122500 Watt

P = 122.5 kW                                             (Since 1 kW = 1000 W)