Centripetal Force and circular motion

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SUMMARY

The discussion centers on calculating the velocity required for a 102-kg satellite to maintain a circular orbit at 352 km above Earth's surface, utilizing the equation F=m(v^2/r). The radius for the calculation is determined by adding Earth's radius (6,371,000 meters) to the altitude of the orbit (352,000 meters), resulting in a total radius of 3,723,000 meters. Participants emphasize that gravity acts as the centripetal force, prompting the need to calculate the gravitational force acting on the satellite to proceed with the velocity calculation.

PREREQUISITES
  • Understanding of centripetal force and its relation to circular motion
  • Familiarity with gravitational force equations
  • Basic knowledge of physics concepts such as mass, velocity, and radius
  • Ability to manipulate algebraic equations for problem-solving
NEXT STEPS
  • Calculate gravitational force using the formula F = G(Mm/r^2)
  • Explore the relationship between centripetal force and gravitational force in orbital mechanics
  • Learn about the implications of satellite velocity on orbital stability
  • Investigate the effects of altitude on gravitational force and satellite speed
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and orbital dynamics, as well as educators seeking to enhance their understanding of centripetal force and gravitational interactions in satellite motion.

ferrariistheking
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Homework Statement


Gravity causes a centripetal force that allows satellites to travel around planets.

How fast must a 102-kg satellite travel to maintain a circular orbit 352 km above Earth's surface?

Homework Equations


F=m(v^2/r) -----> (F/m) x r= v^2, then square root

F= force
m=mass
v=velocity
r=radius

The Attempt at a Solution


So basically, I'm solving for v in km/s.

The mass is 102 kg

For radius, I added the radius of the Earth in meters with the circular orbit of 352 km.
6371000m + 352000m= 3723000m which is r.

The problem is that I need to solve for F. Does anyone know how to continue with this problem?
 
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What is the gravitational force a 102 kg satellite feels at this height?
 
ferrariistheking said:
The problem is that I need to solve for F. Does anyone know how to continue with this problem?
Your answer is in the question. Gravity is the centripetal force. What is the force of gravity on a 102 kg object?
 
lekh2003 said:
Your answer is in the question. Gravity is the centripetal force. What is the force of gravity on a 102 kg object?
What is the equation for the gravitational force of attraction between two bodies of mass M and m whose centers are separated by a distance r?
 

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