A3858 n piano is to be pushed up a(n) 3.49 m frictionless plank that makes an angle of 31.6 ◦ with the horizontal. calculate the work done in sliding the piano up the plank at a slow constant rate. answer in units of j.

7055.13 J

Explanation:

Step 1: identify the given parameters

Note: frictional force between the piano and horizontal surface is zero since the plank is frictionless.

Step 2: work done in sliding the piano up the plank = applied force X distance moved by the piano.

The distance moved by the piano is equal to the height above ground when the piano reach top of the plank.

Height of the triangle = 3.49m X sine31.6⁰

Height of the triangle = 1.8287m

Recall, height of the triangle is the height above ground which is equal to the distance moved by the piano

work done in sliding the piano up the plank = applied force X distance moved by the piano.

work done in sliding the piano up the plank = 3858N X 1.8287M

                                                                           = 7055.13 J

3.2x10^7

a displacement distance is size of displ