(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A bug lands on top of the frictionless, spherical head of a bald man. It begins to slide down his head.

Show that the bug leaves the head when it has dropped a vertical distance 1/3 the radius of the head.

2. Relevant equations

Not sure. Maybe:

E_f - E_i = 0since it is conserving energy (no friction)

and/or possibly

F=mato calculate the normal force = 0 when the bug is 1/3 vertical h down the head somehow?

3. The attempt at a solution

Well, if i use the E_f - E_i = 0:

If the bug fell R/3 vertical displacement then its height at E_f = (2/3)R

[mg(2R/3) + (1/2)mv^2] - (mgR) = 0 ----->

not quite sure how to prove that the bug drops off the head via this method.

Thanks in advance,

Tom

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# Homework Help: Bug lands on a frictionless sphere. Show that the Bug leaves head when

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