QUESTION IMAGE
Question
the total energy of the car is its potential energy + its kinetic energy. this total energy remains constant across the length of the track. what would be the best way to increase the energy of the coaster as it proceeds through the course? a increase the height at point a b increase the height at point b c make the roller coaster longer d decrease the number of cars in each train
The total energy of the coaster is the sum of potential and kinetic energy. Potential energy is $mgh$ (where $m$ is mass, $g$ is gravitational - acceleration, and $h$ is height). Increasing the height at the start (point A) will increase the initial potential energy, and since total energy is conserved (neglecting friction), this will increase the overall energy of the coaster throughout the course. Increasing height at point B just redistributes energy during the course, making the coaster longer doesn't change the initial energy, and decreasing the number of cars decreases total mass and thus total energy.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
A. Increase the height at point A