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

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Chapter1: Units, Trigonometry. And Vectors
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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.
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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