Building a ModelConsider an object with mass, m = 15 kgs. Use the formula for Newton's second law of motion, F = m x a, to calculate the force produced by the object at the given acceleration values. Acceleration Applied (a)(in m/sec^2)Force Produced (F)(in Newton)5 8 12 15 18 Once the table is completed, build a graphical model for representing Newton's second law of motion.
Question
Building a ModelConsider an object with mass, m = 15 kgs. Use the formula for Newton's second law of motion, F = m x a, to calculate the force produced by the object at the given acceleration values. Acceleration Applied (a)(in m/sec^2)Force Produced (F)(in Newton)5 8 12 15 18 Once the table is completed, build a graphical model for representing Newton's second law of motion.
Solution
Sure, let's calculate the force produced by the object at the given acceleration values using the formula for Newton's second law of motion, F = m x a.
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For a = 5 m/sec^2, F = m x a = 15 kg x 5 m/sec^2 = 75 Newton
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For a = 8 m/sec^2, F = m x a = 15 kg x 8 m/sec^2 = 120 Newton
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For a = 12 m/sec^2, F = m x a = 15 kg x 12 m/sec^2 = 180 Newton
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For a = 15 m/sec^2, F = m x a = 15 kg x 15 m/sec^2 = 225 Newton
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For a = 18 m/sec^2, F = m x a = 15 kg x 18 m/sec^2 = 270 Newton
So, the completed table is:
| Acceleration Applied (a)(in m/sec^2) | Force Produced (F)(in Newton) |
|---|---|
| 5 | 75 |
| 8 | 120 |
| 12 | 180 |
| 15 | 225 |
| 18 | 270 |
To build a graphical model for representing Newton's second law of motion, you can plot the acceleration values on the x-axis and the corresponding force values on the y-axis. The graph should be a straight line passing through the origin, indicating that the force is directly proportional to the acceleration.
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