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

Answer:

Work done will be 22216.894 J

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 $d_y=dsin\Theta =62\times sin31^{\circ}=31.932m$

We know that work done is given by

$W=mgh=mgd_y=71\times 9.8\times 31.93=22216.894J$