A 600kg Cart rests at the top of an 8m tall Frictionless Roller Coaster Hill. If the Cart is released to begin the ride, how Fast will it be going when it reaches the bottom of the Hill?

12.5m/s

Explanation:

Given parameters;

Initial velocity  = 0m/s

Height  = 8m

Mass of cart  = 600kg

Unknown:

Final velocity   = ?

Solution:

To solve this problem, we use the expression below;

          v²   = u²  + 2gh

v is the final velocity

u is the initial velocity

g is the acceleration due to gravity

h is the height

 Now insert the parameters and solve;

         v²  = 0²  + 2 x 9.8 x 8  = 156.8

         v  = 12.5m/s

answer would be letter choice (a),   a ball resting on a shelf. would be another example of potential energy   >   stored energy > not moving.

a ball spinning on a finger   >   kinetic energy > moving energy

a ball rolling on the ground   >   kinetic energy   > moving energy

a   ball flying through the air   > kinetic energy   >   moving energy

hope that                                         : )