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Read the scenario and solve these two problems.

When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic energy of the train at top speed is
J.

Given this kinetic energy, what is the tallest hill this roller coaster train can reach the top of?

The train can climb a hill that is
m high.

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Respuesta :

quasarJose

Answer:

45.9m

Explanation:

Given parameters:

Mass of roller coaster train  = 12000kg

Velocity  = 30m/s

Unknown:

Tallest hill the roller coaster train can reach = ?

Solution:

Kinetic energy is the energy due to the motion of body.

Potential energy is the energy due to the position of a body.

So;

             [tex]\frac{1}{2}[/tex]  m v²    =  mgh  

 m is the mass, g is the acceleration due to gravity, h is the height and v is the velocity

                 m v²   = 2mgh

                     v²   = 2gh

                   h  = [tex]\frac{v^{2} }{2g}[/tex]  

                  h  = [tex]\frac{30^{2} }{2 x 9.8}[/tex]   = 45.9m  

             

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