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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

Respuesta :

Answer:

Work done will be 22216.894 J

Explanation:

We have given mass of the skier m = 71 kg

Acceleration due to gravity [tex]g=9.8m/sec^2[/tex]

Slop is given as [tex]\Theta =31^{\circ}[/tex]

Distance d = 62 m

So vertical distance [tex]d_y=dsin\Theta =62\times sin31^{\circ}=31.932m[/tex]

We know that work done is given by

[tex]W=mgh=mgd_y=71\times 9.8\times 31.93=22216.894J[/tex]

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