Question

A gondola can carry 20 skiers, with a total mass of up to 2250 kg. The gondola ascends at a constant speed from the base of a mountain, at 2150 m, to the summit at 3345 m. (a) How much work does the motor do in moving a full gondola up the mountain

Answer 1

Answer:

$2.63\times 10^{7} \ J$

Explanation:

Given :

Total mass that a gondola can carry, m = 2250 kg

Displacement, s = 3345 - 2150

                           = 1195 m

Gravitational force, F = mg

                                  = 2250 x 9.8

                                 = 22050 N

Therefore the work done by the motor in moving the full gondola up the mountain,

W = F x s

    = 22050 x 1195

    = $2.63\times 10^{7}$ J