Elise A.

asked • 11/10/15

Quick Science Question: Calculating Thermal Energy?

A model rollercoaster car weighs 3 kg. If it reaches 5 meters, how much energy is transformed into thermal energy at that point? 
I have other values too (it's a multiple part problem):
  • Gravitational Potential Energy at 'A' is 294.3 Joules and 'A' has a height of 10 meters
  • Kinetic Energy at 'C' is 54 Joules
  • Total Mechanical Energy of the coaster is 294.3 Joules
There's also a diagram that looks kind of like this:
         /---A----\                                                   
       /            \              /--C--\
      /              \            (        )    
     /                 \           (      )
__/                    \___B__\_  /_____D______
Basically, 'A' is the highest point, 'B' is after 'A' and has the greatest velocity, 'C' is the top of a loop-d-loop after 'B', and 'D' is a flat surface after the loop ('C').
 
Here's what I'm thinking:
 
First off, for point 'C', I have Kinetic Energy at 54 Joules. If I calculate Gravitational Potential Energy at point 'C', then I'd have 147.15 Joules because the height of 'C' is 5 meters.
Then, the Total Mechanical Energy for the entire roller coaster is 294.3 Joules.
However, 147.15+54=201.15.
So... does that mean that the remaining energy is thermal energy? Would that mean that the answer is 93.15 Joules?

1 Expert Answer

By:

Raphael D. answered • 11/10/15

Tutor
4.9 (39)

Enthusiastic and Experienced: Math and Physics - all levels

Elise A.

147.15 Joules would be the value for Gravitational Potential Energy because:
 
GPE=mgh        so GPE=(3 kg)(9.81 m/s2)(5 m)               so GPE=147.15 Joules
m=3 kg
g=9.81m/s2
h=5 m
Report

11/10/15

Elise A.

Thank you :)
Report

11/10/15

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