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Consider 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

Consider 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.

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Solution

To calculate the force produced by the object at different acceleration values, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a).

Given that the mass of the object is 15 kg, we can calculate the force produced at different acceleration values using the formula F = m x a.

Using the given acceleration values of 5 m/sec^2, 8 m/sec^2, 12 m/sec^2, 15 m/sec^2, and 18 m/sec^2, we can calculate the corresponding forces produced by substituting the values into the formula.

For an acceleration of 5 m/sec^2, the force produced would be F = 15 kg x 5 m/sec^2 = 75 N.

For an acceleration of 8 m/sec^2, the force produced would be F = 15 kg x 8 m/sec^2 = 120 N.

For an acceleration of 12 m/sec^2, the force produced would be F = 15 kg x 12 m/sec^2 = 180 N.

For an acceleration of 15 m/sec^2, the force produced would be F = 15 kg x 15 m/sec^2 = 225 N.

For an acceleration of 18 m/sec^2, the force produced would be F = 15 kg x 18 m/sec^2 = 270 N.

To build a graphical model representing Newton's second law of motion, we can plot the force (F) on the y-axis and the acceleration (a) on the x-axis. We can then plot the calculated force values at the corresponding acceleration values on the graph. This will give us a visual representation of the relationship between force and acceleration according to Newton's second law of motion.

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