The roller coaster moving upward towards the hill is one of the best examples of the potential energy.
What is mechanical energy?
Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.
The expression for total mechanical energy is as follows
ME= PE+KE
Where ME is the mechanical energy
PE is the total potential energy
KE is the total kinetic energy
the potential energy of any object is given by the expression
P.E= m*g*h
where P.E is the potential energy of the object
m is the mass of the object
h is the height
g is the acceleration due to gravity
A roller coaster uses energy to get to the top of the first hill. During this climb, it gains potential energy and pauses for a fraction of a second at the very top before heading down the other side, At the top of the hill total kinetic energy of the roller coaster would be zero as the velocity is zero at the top of the hill, therefore the total mechanical energy is only because of potential energy.
Because during the upward motion of the roller coaster it gains a huge amount of potential energy because of the multiplication factor of height as mentioned in the above relation of the potential energy.
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