A 6157 N piano is to be pushed up a(n) 2.41 m frictionless plank that makes an angle of 21.9 ◦ with the horizontal. Calculate the work done in sliding the piano up the plank at a slow constant rate.

Respuesta :

Answer:

Work done, W = 5534.53 J

Explanation:

It is given that,

Force acting on the piano, F = 6157 N

It is pushed up a distance of 2.41 m friction less plank.

Let W is the work done in sliding the piano up the plank at a slow constant rate. It is given by :

[tex]W=Fd\ sin\theta[/tex]

Since, [tex]F=F\ sin\theta[/tex] (in vertical direction)

[tex]W=6157\times 2.41\ sin(21.9)[/tex]

W = 5534.53 J

So, the work done in sliding the piano up the plank is 5534.53 J. Hence, this is the required solution.

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