An elevator in a building can carry a maximum of 10 persons, with the… | JEE Main 2020 (7 Jan, Shift 2)

Q31JEE Main 2020 · 7 JAN · SHIFT 2Medium

Power

An elevator in a building can carry a maximum of 10 persons, with the average mass of each person being 68 kg. The mass of the elevator itself is 920 kg and it moves with a constant speed of 3 m/s. The frictional force opposing the motion is 6000 N. If the elevator is moving up with its full capacity, the power delivered by the motor to the elevator (g = 10 m/s2) must be at least:

Show answer and solution

Answer: (d)

Total mass $= 10 \times 68 + 920 = 1600\text{ kg}$ .
At constant speed $F = mg + f = 16000 + 6000 = 22000\text{ N}$ .
$P = Fv = 22000 \times 3 = 66000\text{ W}$
So the answer is (d) 66000 W.

Report a mistake

More questions on Power

A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2000 kg…JEE Main 2020 (7 Jan, Shift 1)
A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body…JEE Main 2020 (5 Sep, Shift 2)
A body of mass 1 kg begins to move under the action of a time dependent force F = (2ti +…NEET 2016 (Phase 1)
A car of weight W is on an inclined road that rises by 100 m over a distance of 1 km and…JEE Main 2016 (9 Apr, Shift 1)
The heart of a man pumps 5 litres of blood through the arteries per minute at a pressure…NEET 2015 (AIPMT)
A particle of mass m is driven by a machine that delivers a constant power k watts. If…NEET 2015 (AIPMT, Cancelled Paper)
One coolie takes 1 minute to raise a suitcase through a height of 2 m but the second…NEET 2013
A wind-powered generator converts wind energy into electrical energy. Assume that the…JEE Main 2013 (25 Apr, Shift 1)

Power question from JEE Main 2020 (7 Jan, Shift 2)

More questions on Power