Question

calculate the work done by gravity as a 3.9 kg object is movies from point A to point B , in figure along paths 1,2 and 3

Answer 1

-76.44 J

Step-by-step explanation:

The force due to gravity is conservative, it means that no matter the path, the work done from A to B will be always the same and it depends on the vertical distance between A and B which in this case is 2.0 m.

So, the work done by the gravity is

W = Fdcosθ

Where the force is the weight so, F = mg = (3.9 kg)(9.8 m/s²) = 38.22 N

d is the vertical distance, so , d = 2.0 m

And θ is the angle between the displacement and the weight, so, θ = 180

Then,

W = (38.22N)(2.0 m)cos(180)

W = -76.44 J

Therefore, the work done by gravity along paths 1, 2, and 3 was -76.44 J