Further Verification of Newton’s Second LawThis exercise represents a hypothetical implementation of the experiment suggested in the solution of part 6 of Example 3.7. A mass of 15 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 newton.
Acceleration | Force |
8 | 120 |
11 | 165 |
14 | 210 |
17 | 255 |
20 | 300 |
a. Construct a table of differences and explain how it shows that these data are linear.
b. Find a linear model for the data.
c. Explain in practical terms what the slope of this linear model is.
d. Express, using functional notation, the force resulting from an acceleration of 15 meters per second per second, and then calculate that value.
e. Explain how this experiment provides further evidence for Newton’s second law of motion.
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