Question

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object. If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2
worth 60 points

Answer 1

The force the same object will exert if it accelerates at a rate of 7 $m/s^2$ is 35 Newton.

Given the following data:

• Acceleration A = 3 $m/s^2$

• Force A = 15 Newton

• Acceleration B = 7 $m/s^2$

To find how much force the same object will exert if it accelerates at a rate of 7 $m/s^2$:

Applying Newton’s Second Law of Motion, which states that acceleration is directly proportional to the force exerted.

$Acceleration \;\alpha\; Force\\A = mF$

From object A:

$3 = m15\\\\m = \frac{3}{15}$

m = 0.2

Now, we can find the force exerted on object B:

$F = \frac{A}{m} \\\\F = \frac{7}{0.2}$

Force, F = 35 Newton.

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