You are on roller blades on top of a small hill. Your potential energy is equal to 1,000.00 joules. The last time you checked your mass mass was 60.0 kilograms. What is your weight in newton's? What is the height of the hill?
Mass of the body = 60.0 kg
potential energy of the body = 1,000.00 Joules
The weight of a body, on Earth, is the force with which is attracted to the Earth and is same as the gravitational pull on the body. Using Newton's second law, the weight of the body is given as:
Weight = Mass x acceleration due to gravity = m x g
= 60 kg x 9.81 m/s^2 = 588.6 N
The potential energy of a body is given as the product of its weight and height. Here we are neglecting the variations in acceleration due to gravity with height.
or, potential energy = mass x acceleration due to gravity x height
= weight x height = 588.6 N x height
or. 1000.0 = 588.6 N x height
Solving the equation, we get height of the hill as 1.70 m.
Hope this helps.