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

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28. evolution

29. environment, survive, offspring  

explanation: