Calculating Kinetic Energy of an Object Falling from Space

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SUMMARY

The discussion centers on calculating the kinetic energy (KE) of a 4-tonne metal rod falling from a height of 10,000 kilometers with an initial velocity of 10 m/s. The key formula for gravitational potential energy, U = -GMm/r, is highlighted, along with the alternative mgh for calculations closer to Earth. The impact force is determined using F = -dp/dt, which represents the change in momentum divided by the impact time. These equations provide a framework for calculating the kinetic energy upon impact.

PREREQUISITES
  • Understanding of gravitational potential energy equations
  • Familiarity with kinetic energy calculations
  • Basic knowledge of physics concepts such as mass, height, and velocity
  • Ability to manipulate equations for different scenarios
NEXT STEPS
  • Learn how to apply the gravitational potential energy formula in various contexts
  • Explore the concept of kinetic energy and its calculation methods
  • Investigate the relationship between mass, velocity, and impact force
  • Study the effects of atmospheric resistance on falling objects
USEFUL FOR

Physics students, engineers, and anyone interested in understanding the dynamics of falling objects and energy calculations in gravitational fields.

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First of all, I apologize if this is the wrong forum... I couldn't tell real well where I should post it, so I just did it in general... If it's the wrong place, I apologize and request it be moved to where it should go. (I don't think it's qualifies as Homework", as it's not homework... I'd just like to know XD)

Second of all, my question:

I'd like to know with how much kinetic energy an object falling from space would hit with, assuming the object doesn't disintegrate in the atmosphere.

If a 4 tonne metal rod was ejected from 10,000 kilometers in the atmosphere, towards earth, with an initial velocity of 10 m/s, what would it's KE be as it hits?

And, if possible, could I be given a formula which would calculate it for me? I'd like to mess with the numbers in the future...

Please and thank you!
 
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Use the equation for gravitational potential energy. U=-GMm/r if its closer to Earth you can use mgh , And the impact force would be F=-dp/dt
the change in momentum divided by the impact time.
 

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