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The diagram shows the various locations of an empty 500 kg roller coaster cart. Assuming no frictional force and other external forces acting on the roller coaster, find the value of the missing quantity for each location. Indicate whether the energy of the roller coaster is conserved and explain why. (g = 9.8 m/s² = 10 m/s²) ​

The diagram shows the various locations of an empty 500 kg roller coaster cart Assuming no frictional force and other external forces acting on the roller coast class=

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(a) At position 2 the potential energy is 10,000 J and kinetic energy is 10,000 J.

(b) At position 3 the potential energy is 0 and kinetic energy is 20,000 J.

(c) At position 4 the potential energy is 5,000 J and kinetic energy is 15,000 J.

Kinetic and potential energy of the roller coaster

The kinetic energy and potential energy of the roller coaster is calculated as follows;

total height = 4 m

At position 2, vertical height = 2 m

P.E (2) = ¹/₂P.E (1) = ¹/₂(20,000 J) = 10,000 J

K.E (2) = 20,000 J - P.E = 20,000 J - 10,000 J = 10,000 J

At position 3, vertical height = 0 m

P.E (3) = 0

K.E (3) = 20,000 J

At position 4, vertical height = 1 m

P.E = mgh =

P.E (4) = 500 x 10 x 1 = 5000 J

K.E(4) = 20,000 J - 5000 J = 15,000 J

Learn more about kinetic energy here: https://brainly.com/question/25959744

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