Question

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.

Answer 1

Work done, W = 5534.53 J

Step-by-step 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 :

`W=Fd\ sin\theta`

Since,
`F=F\ sin\theta` (in vertical direction)

`W=6157* 2.41\ sin(21.9)`

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.