Galileo & Newton: Dynamics, Laws of Motion, Universal Gravitation

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    Galileo Newton
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SUMMARY

This discussion centers on the significant contributions of Galileo Galilei to the development of dynamics, particularly in relation to Isaac Newton's Laws of Motion and the Law of Universal Gravitation. Key experiments by Galileo, such as rolling balls down inclined ramps and the Law of Falling Bodies, laid the groundwork for Newton's First Law of Motion, which can be attributed largely to Galileo's insights. Furthermore, Newton synthesized Galileo's principles with the astronomical data of Tycho Brahe and the mathematical formulations of Johannes Kepler, culminating in his seminal work, The Principia.

PREREQUISITES
  • Understanding of Galileo's experiments on inclined planes and the Law of Falling Bodies
  • Familiarity with Newton's First Law of Motion and its implications
  • Knowledge of Tycho Brahe's astronomical observations
  • Comprehension of Kepler's laws of planetary motion
NEXT STEPS
  • Explore Galileo's experiments in greater detail, focusing on their impact on classical mechanics
  • Study Newton's The Principia to understand the integration of previous scientific ideas
  • Investigate the historical context of Tycho Brahe's contributions to astronomy
  • Examine Kepler's laws and their mathematical formulations in relation to planetary motion
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Students of physics, historians of science, and anyone interested in the foundational principles of classical mechanics and the interplay between Galileo and Newton's work.

kassy_in_the_sky
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I am writing an essay on why Galileo's work was important to the development of dynamics, with particular reference to its importance to the development of Newton's Laws of Motion and the Law of Universal Gravition.

I've researched some of the stuff that Galileo did: ie. rolling balls down inclined ramps, dropping objects from tall building (Law of Falling Bodies, Principle of Inertia)

What else can I expand on?

How should I explain what Newton did to come up with the Laws of Motion and the Law of Universal Gravitation using Galileo's ideas??
 
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Well for a start off, Newton's First Law of motion was almost entirely worked out by Galileo - it ought to be called Galileo's Law of motion!
His work with inclined planes made Galileo think about a ball rolling down a frictionless slope in a fruit bowl kind of device, and back up the other side - it would of course, without friction, rise to the same height.
If the 'other side' of the slope were an infinite distance away, and friction wasn't present, then the ball would continue to travel at a constant speed, in the direction of the 'other side' for ever. ie Newton's first law.

Much of Newton's work though is based on that of Tycho Brahe the Astronomer, and Keplar the mathematician who worked on Tycho's data and came up with his 3 laws of planetary motion. Newton put together the work of Galileo with the later work of Tycho and Keplar to come up with his ground-braking work - The Principia.
 

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