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:

Question

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: (A) 48000 W (B) 56300 W (C) 66000 W (D) 62360 W

Tardigrade Admin · Accepted Answer

elevater moving with constant speed hence T = 6800 + 9200 + 6000 T = 22000 N power = T·v = 22000 × 3 = 66000 W

$48000 W$

$56300 W$

$66000 W$

$62360 W$

elevater moving with constant speed hence
$T = 6800 + 9200 + 6000$
$T = 22000 N$
power $= T \cdot v = 22000 \times 3$
$= 66000 W$

48000W

56300W

66000W

62360W

elevater moving with constant speed hence T=6800+9200+6000 T=22000N power =T⋅v=22000×3 =66000W

$48000 W$

$56300 W$

$66000 W$

$62360 W$

elevater moving with constant speed hence
$T = 6800 + 9200 + 6000$
$T = 22000 N$
power $= T \cdot v = 22000 \times 3$
$= 66000 W$