Problem: A 500 kg car carrying 200 kg of passengers on a rollercoaster encounters a stop on the track shown in the figure below. How high does the car have to start in order to traverse the loop without any passengers being in danger of falling out if their harness broke? Note that the car starts from rest at the top of the slope and that there is no friction between the car and the track.

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Problem Details

A 500 kg car carrying 200 kg of passengers on a rollercoaster encounters a stop on the track shown in the figure below. How high does the car have to start in order to traverse the loop without any passengers being in danger of falling out if their harness broke? Note that the car starts from rest at the top of the slope and that there is no friction between the car and the track.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Motion Along Curved Paths concept. You can view video lessons to learn Motion Along Curved Paths. Or if you need more Motion Along Curved Paths practice, you can also practice Motion Along Curved Paths practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Jeffery took 10 minutes and 13 seconds to solve this problem. You can follow their steps in the video explanation above.