The Roche Limit Tells Us About the Point on a Rotating

question 64

Multiple Choice

The Roche Limit tells us about the point on a rotating planet where the gravitational force at the equator is just equal to the necessary centripetal force needed for rotation.Assuming the planet to be a uniform sphere of density 5520 kg/m³,find the shortest period of rotation possible before exceeding the Roche Limit.(G = 6.67 $\times$ 10^-11 N·m²/kg²)

• A)none of the following
• B)50 mins
• C)150 mins
• D)48 mins
• E)85 mins

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Definitions:

Anhedonia

A condition characterized by a diminished ability to experience pleasure or interest in activities that typically bring joy, often associated with depression and other mood disorders.

Serotonin

is a neurotransmitter that plays a key role in mood regulation, appetite, and sleep.

Norepinephrine

A neurotransmitter and hormone involved in the body's fight or flight response, affecting mood and arousal.

Neurotransmitters

Chemical substances in the nervous system that transmit signals between neurons or from neurons to muscles, influencing many aspects of both physical and psychological function.