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JEE Main 20207 JanuaryEvening Shift

Exam: JEE Main
Year: 2020
Date: 7 January
Shift: Evening Shift
Subject: Physics
Chapter: Motion in One Dimension

JEE Main 2020 · 7 January · Evening Shift · Physics · Motion in One Dimension

An elevator in a building can carry a maximum of 10 persons, with...

An elevator in a building can carry a maximum of

10

persons, with the average mass of each person being

68kg

. The mass of the elevator itself is

920kg

and it moves with a constant speed of

3m / s

. The frictional force opposing the motion is

6000N

. If the elevator is moving up with its full capacity, the power delivered by the motor to the elevator

\left(g = 10m / {s}^{2}\right)

must be at least:

Options

A $56300W$
B $62360W$
C $48000W$
D $66000W$

Correct answer

D. $66000W$

Step-by-step solution

Net force on motor will be

{F}_{m} = \left[920 + 68\left(10\right)\right]g + 6000

= 22000N

So, required power for motor

{P}_{m} = {\overset{\to}{F}}_{m} . \overset{\to}{v}

= 22000 \times 3

= 66000watt

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