Calculating Velocity of Free-Falling Object from Rest at Different Altitudes

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SUMMARY

The discussion focuses on calculating the velocity of a 100kg object released from rest at an altitude of 50km, assuming constant gravitational acceleration of 9.81 m/s² and neglecting aerodynamic drag. The key equation utilized is the conservation of energy, which leads to the determination of the object's velocity just before impact with the Earth. The calculated force acting on the object is 967.74N, and the acceleration is noted as 9.68 m/s², confirming the influence of gravity on the object's motion.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with gravitational force calculations
  • Knowledge of conservation of energy principles
  • Basic algebra for solving equations
NEXT STEPS
  • Study the conservation of mechanical energy in physics
  • Learn about gravitational force calculations using F=G(m1m2)/r²
  • Explore the effects of aerodynamic drag on falling objects
  • Investigate the equations of motion under constant acceleration
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Homework Statement


A 100kg object is released from rest at an altitude of h=50km. Ignoring aerodynamic drag and wind behaviour, determine the velocity of the object just before it strikes the Earth at sea level, asumming gravity is 9.81 m/s^2 and constant


Homework Equations



F=G(m1m2)/r^2

F=ma

The Attempt at a Solution


F=967.74N
a=9.68m/s2
 
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Hi student1! :smile:
student1 said:
A 100kg object is released from rest at an altitude of h=50km. Ignoring aerodynamic drag and wind behaviour, determine the velocity of the object just before it strikes the Earth at sea level, asumming gravity is 9.81 m/s^2 and constant

Hint: use conservation of energy :wink:
 


thank you very much
 

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