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A 920-kg car with brakes applied travels at constant speed a distance of 8 m downhill along a road that makes an angle of 30o below the horizontal. The work W done by the force of gravity during this motion is:

Respuesta :

Answer:

W = 36064 J

Explanation:

Work done by the force of gravity is given as

[tex]W_g = F_g \times d[/tex]

here we know that

[tex]F_g = mg[/tex]

also we have

[tex]d[/tex] = vertical displacement of the car in downward direction

now we have

[tex]d = 8 sin30[/tex]

[tex]d = 4 m[/tex]

now work done is given as

[tex]W = (mg) d[/tex]

[tex]W = (920 \times 9.81)(4)[/tex]

[tex]W = 36064 J[/tex]

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