This preview shows page 1. Sign up to view the full content.
90. If the angular velocity were any greater, loose objects on the surface would not go
around with the planet but would travel out into space.
(a) The magnitude of the gravitational force exerted by the planet on an object of mass
m
at its surface is given by
F = GmM / R
2
, where
M
is the mass of the planet and
R
is its
radius. According to Newton’s second law this must equal
mv
2
/
R
, where
v
is the speed
of the object. Thus,
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Force, Mass

Click to edit the document details