Satellite question. find mass of planet and weight on planet?

AI Thread Summary
To find the mass of the planet and the weight of the satellite on its surface, the gravitational force and centripetal force equations are utilized. The tangential velocity of the satellite is calculated using the formula v = √(GM/R), where G is the gravitational constant and R is the distance from the planet's center. For part B, the mass of the planet can be derived by manipulating the centripetal force equation, equating it with gravitational force. Part C involves calculating the satellite's weight on the planet's surface using the mass found in part B. The discussion emphasizes the importance of applying these physics principles to solve the problem.
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A satellite, mass of satellite=5850 kg, is in circular orbit of 4.1x10^5m above the surface of a planet, which has a radius of 4.15x10^6m. The period for the orbit is 2 hours.
A) calculate the tangential velocity of the satellite.
B) find the mass of the planet.
C) how much would the satellite weigh on the surface of the planet?

I have only been able to fint the tang-velocity.
v = √(GM / R )
= √(6.67 x 10-8 x 5850 / 4.1 x 105 ) m/s

Can anyone solve part B and C?
 
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mrw^2=GMm/r^2 manipulate the v=rw and w=2pi/period
 
For both cases equate centripetal force with gravitational force and you you be able to get the answer.
 
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