College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Equating Newton's Second Law with his Law of Gravitation we get:
Gm,m2
Gm2
or canceling m1:a = -
R²
ma =
R2
If we are standing on the surface of a large, spherical body like Earth, then R is the radius of the
large body and we call a the acceleration of gravity, which we denote as:
GM
g =
R2
Equation 5
Experimental Procedure
Since the mass and radius of Earth are relatively constant (they actually vary a little in location
and time), Equation 5 predicts that the acceleration of gravity on Earth's surface is constant (we
can also verify this experimentally by noting that the velocity versus time plot is linear, and/or the
distance versus time plot is parabolic). If an object is dropped from rest, then the initial velocity
is zero and Equation 2 reduces to:
y =,at?
Equation 6
Noting that a = g, we can write:
2y
g=72
Equation 7
%3D

Transcribed Image Text:Jusing Equation 5, determine the theoretical
acceleration of gravity
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