Question

I NEED HELP ASAP PLEASEEEE.A roller coaster ride starts with the roller coaster car being pulled to the top of the first hill with a pulley system. The car is released from the top with an initial velocity close to zero, then accelerates downward. From that first hill, the roller coaster just coasts; there is no driving force, other than gravity, to keep it going. Assuming no friction, what can you say about the height of the other hills in the roller coaster ride?

Answer 1

Answer:

The first hill of a roller coaster is always the highest point of the roller coaster.In most roller coasters, the hills decrease in height as the train moves along the track.

Explanation:

Answer 2

The conservation of energy allows to find the result for the height of the hills is:

• The first hill must be the highest as it determines the mechanical energy of the system.

Mechanical energy is the sum of kinetic energy plus potential energy, one of the main principles of physics is that mechanical energy must be conserved  if there is no friction.

In the roller coaster, energy is given to the system when the cars are climbed to the first hill, at this point the speed is zero, therefore the mechanical energy is

                Em = U = m g h

Where m is the mass of the cars, g the gravity and h the height.

When the cars are released, this energy is transformed into kinetic and potential energy when it descends and ascends, but the sum of these two cannot be greater than the initial energy, therefore the other hills on the mountain must have less height than the first  hill, if it  is the system to keep moving.

In conclusion using the conservation of energy we can find the result for the height of the hills is:

• The first hill must be the highest as it determines the mechanical energy of the system.

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