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Gravity & Weight

Introduction

When trying to lose weight, everyone thinks about going to the gym or going on a diet. But nobody thinks about going to a different planet with a lower gravitational field strength.

So what exactly is weight? How is it different from mass? And why do things fall?

In this lesson we'll learn about gravitational force or gravity. We're most familiar with gravity as the force that causes objects to fall. But gravity also causes tides to go in and out, keeps the moon orbiting around the earth, and keeps the earth (and all of the planets) orbiting around the sun.

We'll learn about weight (which is just the gravitational force on object) as well as apparent weight (which is just the normal force supporting you from below).

So where does this gravitational force come from?

Newton's Law of Universal Gravitation: Any two bodies are attracted to each other by a gravitational force which is proportional to the product of their masses and inversely proportional to the square of the distance between their centers: Fg = G m1 m2 / r2

If that's true, why don't we experience that with most objects? Why doesn't a pen start flying towards a cup? Even though many objects are close together, their masses are so small that the gravitational force is too weak to overcome the other forces that prevent them from moving (usually friction). It takes an object with an enormous amount of mass, like the earth, for you to experience the force of gravity in everyday life.

Albert Einstein has given us a brand new theory of gravity to work with: general relativity. But this course is only going to be using Newton's Law of Universal Gravitation (aka Newtonian gravity). Just like ignoring air resistance still gives us really accurate predictions for projectile motion, Newton's equation gives us extremely accurate predictions for most things affected by gravity.

Lessons
Download:Gravity & Weight - Lesson Video Slides.pptx
Study Guide

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Practice Problems

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Gravitational Force, Gravitational Field and Weight
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