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**1. The problem statement, all variables and given/known data**

An explorer wants to find planetary mass M and radius R using a pendulum of length L. The average elevation of the planet is R. At this elevation the pendulum has period T1. He then climbs up 2km where the pendulum has period t2. Express M and R interms of other variables need to calculate. Assume the planet is spherical

**2. Relevant equations**

Fg= GMm/R^2

T=2(pi)(sqrt(v/g)

**3. The attempt at a solution**

g = 4pi^2 L/T^2= GMm/R^2

I know I need another equation, I was hoping someone could point one out or tell me what Im missing. Obviously this could be solved one of ther variable but at the moment I have 3 var. and 2 equations. I thought about CoM but or CoE but then that brings in a lot more variables.

any thoughts