Question

A skier of mass 70 kg is pulled up a slope by a motor-driven cable. The acceleration of gravity is 9.8 m/s 2 . How much work is required to pull him 62.5 m up a 38.4 ◦ slope (assumed to be frictionless) at a constant speed of 3.77 m/s.

Answer 1

Answer:26.65 kJ

Step-by-step explanation:

Given

mass of skier=70 kg

length of ramp=62.5 m

slope
`=38.4 ^(\circ)`

speed=3.77 m/s

so net force on skier must be zero

Net work done will be change in Potential energy of skier

Potential Energy
`=mg(\Delta H)`

`\Delta H=62.5sin38.4=38.821 m`

`P.E.=70* 9.81* 38.82=26,658.88 J`

P.E.=26.65 kJ