This exercise represents a hypothetical implementation of the experiment suggested by Newton's second law of motion which says that Force Mass Acceleration. A mass of 18 kilograms was subjected to varying accelerations, and the resulting force was measured. In the following table, acceleration is in meters per second per second, and force is in newtons. Acceleration Force
This exercise represents a hypothetical implementation of the experiment suggested by Newton's second law of motion which says that Force Mass Acceleration. A mass of 18 kilograms was subjected to varying accelerations, and the resulting force was measured. In the following table, acceleration is in meters per second per second, and force is in newtons. Acceleration Force
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:This exercise represents a hypothetical implementation of the experiment suggested by Newton's second law of motion which says that Force
varying accelerations, and the resulting force was measured. In the following table, acceleration is in meters per second per second, and force is in newtons.
= Mass · Acceleration. A mass of 18 kilograms was subjected to
TI
Acceleration
Force
6.
108
9.
162
12
216
15
270
18
324
(a) Construct a table of differences.
Change in A
Change in F
Step 1
54
Step 2
3
54
Step 3
3
54
Step 4
3
54
Explain how it shows that these data are linear.
For each change of 54
in F (Step 1 to Step 2) there is an increase
of 3
in A.
(b) Find a linear model for the data. (Enter your answer in terms of A.)
F =
(c) Explain in practical terms what the slope of this linear model is.
The slope is the mass of 18 kilograms
used in the experiment.
(d) Express using function notation, the force resulting from an acceleration of 14 meters per second per second.
F( 14
Calculate the force resulting from an acceleration of 14 meters per second per second.
N
(e) Explain how this experiment provides further evidence for Newton's second law of motion.
F =
X x A, so Force = Mass x Acceleration
3.
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