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

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SUMMARY

The discussion centers on calculating the mass of a planet and the weight of a satellite in orbit. Given a satellite mass of 5850 kg in a circular orbit 4.1 x 10^5 m above a planet with a radius of 4.15 x 10^6 m and an orbital period of 2 hours, the tangential velocity was calculated using the formula v = √(GM / R). To find the mass of the planet and the satellite's weight on the surface, participants are advised to manipulate the equations for centripetal force and gravitational force.

PREREQUISITES
  • Understanding of gravitational force and centripetal force concepts
  • Familiarity with the formula for tangential velocity in circular motion
  • Knowledge of Newton's law of universal gravitation
  • Basic algebra for manipulating equations
NEXT STEPS
  • Calculate the mass of the planet using the formula derived from centripetal force and gravitational force
  • Determine the weight of the satellite on the planet's surface using the formula W = mg
  • Explore the implications of orbital mechanics on satellite design
  • Study the relationship between orbital radius and period in circular motion
USEFUL FOR

Students in physics, aerospace engineers, and anyone interested in orbital mechanics and gravitational calculations will benefit from this discussion.

physics1007
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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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