Now consider a track with friction. What would be the maximum height of release for the roller coaster car, if the amount of thermal energy

Question

Now consider a track with friction. What would be the maximum height of release for the roller coaster car, if the amount of thermal energy produced between the point of release and the top of the loop shouldn’t exceed 3.50×104 J and the normal force at the top should be no more than 600 N?

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Maris 3 years 2021-08-09T15:59:09+00:00 1 Answers 24 views 0

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  1. Eirian
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    2021-08-09T16:00:59+00:00
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    Answer:

    The maximum height of release for the roller coaster car is 58.24 meters.

    Explanation:

    Given that,

    The amount of thermal energy produced between the point of release and the top of the loop shouldn’t exceed E=3.5\times 10^4\ J

    The normal force be no more than 600 N, F = 600 N

    We need to find the maximum height of release for the roller coaster car. The potential energy act on it. It is given by :

    E=mg\times h\\\\E=F\times h\\\\h=\dfrac{E}{F}\\\\h=\dfrac{3.5\times 10^4}{600}\\\\h=58.34\ m

    So, the maximum height of release for the roller coaster car is 58.24 meters. Hence, this is the required solution.

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