Answer to Question #81788 in Classical Mechanics for Amoghavarsh

Question

Consider a hill with a slope of 30 degrees relative to the horizontal direction. I push a ball of mass 2 kg directly up the slope, and as I do so, I take ten steps, walking up the slope, with each step being 50 cm long. Presuming that the downward (i.e., vertical) force, in newtons, exerted by gravity on the ball is 9.8 times the mass of the ball in kg, by how many joules has the potential energy of the ball increased?

Answer 1

The increase in the potential energy of the ball:
E=mgh=mgl sin⁡30=mgnd sin⁡30
E=(2)(9.8)(10)(0.5) sin⁡30=49 J