Question

A skier of mass 71 kg is pulled up a slope by amotor-driven cable.The acceleration of gravity is 9.8 m/s2.How much work is required to pull him 62 mup a 31◦slope (assumed to be frictionless) ata constant speed of 2.58 m/s?Answer in units of kJ

Answer 1

Work done will be 22216.894 J

Step-by-step explanation:

We have given mass of the skier m = 71 kg

Acceleration due to gravity
`g=9.8m/sec^2`

Slop is given as
`\Theta =31^(\circ)`

Distance d = 62 m

So vertical distance
`d_y=dsin\Theta =62* sin31^(\circ)=31.932m`

We know that work done is given by

`W=mgh=mgd_y=71* 9.8* 31.93=22216.894J`