Physics Question pertaining to Velocity and Gravity

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SUMMARY

The discussion focuses on the physics of two identical eggs, each with a mass of 0.1 kg, dropped from rest at height h—one on Earth and the other on the Moon. The egg on Earth experiences air resistance described by the equation F=-kv, where k is a constant proportionality factor in Ns/m, while the egg on the Moon falls without resistance. The gravitational acceleration is 9.81 m/s² on Earth and 1.62 m/s² on the Moon. Key questions include determining the terminal velocity of the egg in Earth's atmosphere and the height from which both eggs will hit the ground at the same speed.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of terminal velocity
  • Knowledge of gravitational acceleration values on Earth and the Moon
  • Basic grasp of forces, including air resistance
NEXT STEPS
  • Calculate the terminal velocity of an object falling through Earth's atmosphere
  • Explore the effects of air resistance on falling objects
  • Investigate the relationship between height and impact speed for free-falling objects
  • Examine how gravitational differences affect falling objects on different celestial bodies
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the effects of gravity and air resistance on falling objects.

jasonmoon
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Homework Statement


Two identical eggs of mass 0.1 kg are dropped from rest at height h. One is dropped on Earth and the other on the surface of the moon. Egg dropped on Earth experiences a force due to air resistance (F=-kv) where v is velocity of egg and k is constant of proportinality equal to Ns/m. No forces of resistance on the moon.

Gravity on Earth = 9.81 m/s^2 Gravity on moon = 1.62 m/s^2





Homework Equations



What is terminal velocity of the egg falling through Earth’s atmosphere?
From what height will the eggs hit the ground at the same speed?
Should the value of k at a high altitude be >, <, or = to k at sea level and why?
 
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jasonmoon said:

Homework Statement


Two identical eggs of mass 0.1 kg are dropped from rest at height h. One is dropped on Earth and the other on the surface of the moon. Egg dropped on Earth experiences a force due to air resistance (F=-kv) where v is velocity of egg and k is constant of proportinality equal to Ns/m. No forces of resistance on the moon.

Gravity on Earth = 9.81 m/s^2 Gravity on moon = 1.62 m/s^2





Homework Equations



What is terminal velocity of the egg falling through Earth’s atmosphere?
From what height will the eggs hit the ground at the same speed?
Should the value of k at a high altitude be >, <, or = to k at sea level and why?

Hello Jasonmoon, Welcome to Physics Forums.

What you've written under Relevant Equations is just more of the problem statement, so you should look to identify some equations that you think might be relevant to the problem at hand. You also need to provide some attempt at solving the problem so that we can see what you know about the subject and where you need help. We do not do your homework for you here; you need to show the effort.
 

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