Using Equation 5, determine the thearenical acceleration of gravity

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)...
icon
Related questions
Question

need help with this question 

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

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Space-time
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON