Gravitational potential energy of satellite

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SUMMARY

The discussion centers on calculating the total work done by gravity on a satellite fragment after it is ejected from a satellite in a circular orbit around the Earth. The fragment, weighing 73 kg, falls to the ground with a speed of 355 m/s, resulting in a calculated gravitational work of Wg = 8.52 × 107 J. Participants are tasked with determining the work converted into heat using the equation Ug + W = Kf, where Kf represents the final kinetic energy of the fragment.

PREREQUISITES
  • Understanding of gravitational potential energy and work-energy principles
  • Familiarity with kinetic energy calculations
  • Basic knowledge of circular motion and satellite dynamics
  • Proficiency in algebraic manipulation of equations
NEXT STEPS
  • Calculate final kinetic energy using the formula Kf = 0.5 * m * v2
  • Explore the concept of energy conversion in gravitational systems
  • Review the implications of work-energy theorem in satellite physics
  • Investigate the effects of atmospheric drag on falling objects
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators seeking to enhance their understanding of gravitational effects on satellites.

juggalomike
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Homework Statement


A satellite in a circular orbit around the Earth with a radius 1.019 times the mean radius of the Earth is hit by an incoming meteorite. A large 73-kg fragment is ejected in the backwards direction so that it is stationary with respect to the Earth and falls directly to the ground. Its speed just before it hits the ground is 355 m/s. Find the total work done by gravity on the satellite fragment. Assume that Rearth = 6.37 × 103 km and Mearth = 5.98 × 1024 kg.

Wg=8.52×107 J

Calculate the amount of work that is converted into heat.

W=?


Homework Equations



Ug+W=Kf

The Attempt at a Solution



I solved for the work done by gravity, but I am stuck on the work converted into heat. My teacher told me to use the equation above but I am not sure how to use it, W=KF-8.52×107 J ? If that's the case, what do i use to solve for KF?
 
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You have the final speed and the mass. So the final kinetic energy is ____?
 

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