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

The rings of a Saturn-like planet are composed of chunks of ice that orbit the planet. The inner radius of the rings is 170,000 km. The mass of this planet is 5.7x10^26 kg.

Find the period of an orbiting chunk of ice at the inner radius.

2. Relevant equations

The force of gravity on the Saturn-like planet:

g=(G)(Mass of planet)/(radius squared)

Centripical velocity (can I do this using g from above as a?):

a=(squared V)/r

Then, use value of calculated v:

V=(2)(3.14)(r)/(T) to find T

3. The attempt at a solution

I was able to calculate g, and used the above equations:

g=1.3156m/ssq

g=a (centripical)

1.3156m=(squared v)/(1.7x10^8m)

v=2.236x10^8m/s

2.236x10^8m/s=(2)(3.14)(1.7x10^8m)/(T)

T=4.77s

The correct answer is 2x10^4s.

Christina

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# Homework Help: Period of moving object

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