Posted by **help** on Monday, December 15, 2008 at 5:03pm.

a slide loving pig slides down a certain 44° slide in twice the time it would take to slide down a frictionless 44° slide. What is the coefficient of kinetic friction between the pig and the slide?

- physics -
**bobpursley**, Monday, December 15, 2008 at 5:52pm
The force of friction on the slide is

mg*mu*cosTheta, and the component of gravity down the slide is mgsinTheta

F=ma=m(vf/time) but vf with friction is 1/2 that of no friction (why? average velocity is 1/2 that of no friction).

so, with friction...

mgSinTheta-mg*mu*Costheta=m Vf/time

=m 1/2 V'/2 t' where the ' means no friction.

g sinTheta-g*mu*cosTheta=V'/4t'

now without friction..

mg sinTheta -nofriction=m v'/t'

or v'/t'=g sinTheta

now back into the friction equation.

g sinTheta-mu*g*CosTheta=g sinTheta/4

dividing both sides by g cosTheta

tanTheta-mu=tantheta /4

mu=3/4 tanTheta

check that.

- physics -
**help**, Monday, December 15, 2008 at 9:13pm
cool

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