What was the velocity of the apple before it hit Newton?

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SUMMARY

The velocity of an apple falling from a height of 2.5 meters can be calculated using kinematics equations for uniform acceleration or conservation of energy. The acceleration due to gravity is typically taken as 9.8 m/s² or 9.81 m/s². To find the final velocity just before impact, one must ensure the problem specifies the height correctly. The necessary equation relates velocity, distance, and constant acceleration.

PREREQUISITES
  • Understanding of kinematics equations for uniform acceleration
  • Knowledge of conservation of energy principles
  • Familiarity with gravitational acceleration values (9.8 m/s², 9.81 m/s²)
  • Basic algebra for solving equations
NEXT STEPS
  • Study kinematics equations, specifically the one relating velocity and displacement
  • Explore conservation of energy in the context of falling objects
  • Practice problems involving gravitational acceleration and free fall
  • Review physics textbooks for variations in gravitational acceleration values
USEFUL FOR

Students preparing for physics exams, educators teaching kinematics, and anyone interested in understanding the principles of motion and energy conservation.

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An apple falls from a tree and hits Sir Isaac Newton on the head. If the apple fell from 2.5m, what was the velocity of the apple just before it hit him?

This question was on my physics exam today, and no one I've talked to in my class was able to get it! Dont we need two variables at the very least?
 
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Hello Chickadee,

Welcome to Physics Forums! :smile:

Chickadee said:
An apple falls from a tree and hits Sir Isaac Newton on the head. If the apple fell from 2.5m, what was the velocity of the apple just before it hit him?
There are two ways to solve this problem.

  • You can use of your kinematics equations for uniform acceleration. Find the one that relates velocity and distance (technically, displacement), with a constant (uniform) acceleration. Or,
  • You can use conservation of energy.

This question was on my physics exam today, and no one I've talked to in my class was able to get it! Dont we need two variables at the very least?


You'll need to know the acceleration due to gravity. Depending on your textbook coursework, this is typically 10 m/s2, 9.8 m/s2 or 9.81 m/s2 depending on how precise your textbook/coursework wants you to be. With that you should be able to solve for the final velocity.
 
Chickadee said:
An apple falls from a tree and hits Sir Isaac Newton on the head. If the apple fell from 2.5m, what was the velocity of the apple just before it hit him?

This question was on my physics exam today, and no one I've talked to in my class was able to get it! Dont we need two variables at the very least?

If the problem really says "the apple fell from 2.5m" then you need to know how high off the ground it hit him. If the problem really says "the apple fell 2.5m" then you have everything you need.
 

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