CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Work Done by Friction

An elevator c...

Question

An elevator car has a mass of 1600 kg and is carrying passengers having a combined mass of 200 kg. A constant friction force of 4000 N retards its motion. How much power must a motor deliver to lift the elevator car and its passengers at a constant speed of 3.00 m/s?

Open in App

Solution

$\sum F = T - f - m g = 0 \Rightarrow T = m g + f$
$p = T - v = T v = (m g + f) v$
$p = (1800 k g) (9.8 m / s) + (4000 N) (3 m / s e c) = 6.49 \times 10^{4} w$
$m = 1800 k g$
$g = 9.8$
$f = 4000 N$
$v = 3 m / s e c$

Suggest Corrections

thumbs-up

0

Similar questions

Q. An elevator can carry a maximum load of

1800 k g (e l e v a t o r + p a s s e n g e r s)

is moving up with a constant speed of

2 m s^{- 1}

. The frictional force opposing the motion is

4000 N

. What is minimum power delivered by the motor to the elevator?

Q. An elevator can carry a maximum load of 1800 kg (elevator + passengers ) is moving up with a constant speed of 2 m/s. The frictional force opposing the motion is 400 N. Determine the minimum power delivered by

Q. 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 {ms}^{- 1}

. 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 {ms}^{- 2})

must be at least

60 H P

electric motor lifts an elevator with a maximum total load capacity of

2000 k g

. If the frictional force on the elevator is

4000 N

, the speed of the elevator at full load is close to (Given

1 H P = 746 W

g = 10 m / s^{2}

)

Q. A roller-coaster car has a mass of 500 kg when fully loaded with passengers.
a. If the vehicle has a speed of

20.0 m s^{- 1}

at point A, what is the force exerted by the track on the car at this point?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

So You Think You Know Work?

PHYSICS

Watch in App

explore_more_icon

Explore more

Work Done by Friction

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon