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Where will the spaceman go when he falls through these strange planetary systems?

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Motorbike Momentum

A think about the physics of a motorbike riding upside down


Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2
You can try this with a conker on a string. It is just motion in a circle with constant angular speed $\omega$. Remember that the acceleration towards the centre is $r\omega ^2$ where $r$ is the radius of the circle. Resolving horizontally use 'force = mass times accelaration'.