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At the beginning of a roller coaster ride, the roller coaster car has an initial energy
mostly in the form of PE. Which statement explains why the fastest speeds of the car
will be at the lowest points in the ride?

a. At the bottom of the slope kinetic energy is at its maximum value and potential
energy is at its minimum value.
b. At the bottom of the slope potential energy is at its maximum value and kinetic
energy is at its minimum value.
c. At the bottom of the slope both kinetic and potential energy reach their maximum
values
d. At the bottom of the slope both kinetic and potential energy reach their minimum
values.

Respuesta :

Explanation:

The potential energy of the roller coaster is due to its position. It can be calculated as :

P = mgh

Where

m is mass, g is acceleration due to gravity and h is height.

The kinetic energy of an object is given by :

[tex]K=\dfrac{1}{2}mv^2[/tex]

Where

v is the speed of the object

At lowest point, the potential energy of the roller coaster is converted to the kinetic energy. So, At the bottom of the slope kinetic energy is at its maximum value and potential energy is at its minimum value. That's why the speed of the cars is at the lowest points in the ride.

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We have that for the Question "Which statement explains why the fastest speeds of the car will be at the lowest points in the ride?"

  • Option A (At the bottom of the slope kinetic energy is at its maximum value and potential energy is at its minimum value) best explains it

option a explains why the fastest speeds of the car will be at the lowest points in the ride because potential energy decreases with decrease in height. Here the decreased potential energy is converted to the kinetic energy.

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