Aroller coaster has a mass of 500 kg. it drops from rest at the top of a hill that's 57 m tall. how fast is it going when it reaches the bottom? acceleration due to gravity is g = 9.8 m/s2.

Explanation:

Hello

The principle of conservation of energy indicates that energy is not created or destroyed; It only is  transformed in some ways into others. In these transformations, the total energy remains constant; that is, the total energy is the same before and after each transformation.in this case the  potential energy is the mechanical energy associated with the location(heigth) Ec=mgh, here m is the mass, g is the acceleration due to gravity and h is the height

and , it must be equal to the kinetic energy in the bottom, it is given by

where m is the mass of the object , and v its velocity

According to the principle of conservation of energy

the velocity only can be positive, it means we need just the positive root

Replacing

Have a great day

c. magnitude and direction

energy can be converted from one form to another, but it cannot be created or destroyed in ordinary chemical or physical means. do not understand what you are asking but hope this