GRAVITATION

A point particle having a mass m is coming from V under the mutual gravitational attraction of the

sphere of radius R , in which a negligibly small hole is made so that the particle may enter . Find the

time it takes to reach the point F which is diametrically opposite to the hole made .

5 Answers

what z position of V tht means dist from center

whats the sphere's mass?

The sphere has a mass m and the distance of V from center is 2R

tilll the hole, the mass acceterates and after that it moves with constant velocity! :)

a = GMr²

vdv=GMr²dr

so we get the velocity with which the sphere is reached!

also we get the velocity as a function of r

now putting v=dr/dt we will get the time to reach the sphere

and using v_{_final}.T=2R we get the time spent inside the sphere!! :)

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