An object with a mass of 4.5 kg is accelerating at a rate of 2m/s². What is the effect of doubling the force (on the same object) on the rate of acceleration?
The acceleration will not be effected.
The acceleration will be half of what it currently is.
The acceleration will stay the same.****
The acceleration will double
f = m a ... a = f / m
To determine the effect of doubling the force on the rate of acceleration, we need to understand Newton's second law of motion, which states that the force acting on an object is directly proportional to its mass and acceleration.
Mathematically, Newton's second law is represented as:
F = m * a
Where:
F = Force
m = Mass
a = Acceleration
In this case, we have a force acting on an object with a mass of 4.5 kg and an acceleration of 2 m/s². Let's denote the force as F1 and the acceleration as a1.
Now, if we double the force applied to the same object, the new force (F2) would be 2 times the original force (F1). The mass (m) remains the same.
According to Newton's second law, we can write:
F2 = 2 * F1
m * a2 = F2
Since the mass remains constant, we can rearrange the equations to solve for acceleration:
a2 = (2 * F1) / m
Substituting the given values, we have:
a2 = (2 * F1) / 4.5
Since acceleration (a2) is directly proportional to force (F1), doubling the force will indeed double the acceleration. Therefore, the correct answer is:
The acceleration will double.