Calculating Power Needed for Roller Coaster

AI Thread Summary
To calculate the power needed for a roller coaster moving from 7m to 90m, the relevant parameters include a mass of 2375kg, a displacement of 127m, a velocity of 3.5m/s, and a retarding force of 4225N. The power can be calculated using the formula Power = Work/Time, where Work is determined by the force multiplied by the displacement. The user confirmed that the time taken is 36 seconds, making their initial calculation of power using the retarding force appropriate for a level track. However, the increase in height requires additional energy, which must be factored into the overall power calculation. Accurate power calculations must consider both the retarding force and the change in gravitational potential energy due to height increase.
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Homework Statement



I have a physics question that deals with power. In this problem it is of a roller coaster moving from 7m above ground to a point that is 90m above the ground.

1. What is the power needed for a roller coaster that needs to move 127m and is moving at a velocity of 3.5m/s? The mass of the vehicle is 2375kg and and retarding force on the train is 4225N.

M= 2375kg
F= I am not sure if it includes the 4225N or if I need to find it another way
D= 127
T=??


Homework Equations



Power= Work/Time
Work= Force * Displacement
Velocity= change in displacement/ time


The Attempt at a Solution


I did 4225*127/ 36.28 but I am not sure if the force is correct or the time...can someone please help!
 
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That is correct if the roller coaster moves along a level track. Yes, the time of 36 seconds is correct.

If the height of the roller coaster increases, that will require additional energy (and therefore additional power).

p.s. welcome to PF :smile:
 
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