What can we say about the force of an object when the mass increases and acceleration remains constant?
Depending on the amount the mass is increased by, we can say that the force of the object is increase by x amount of mass.
Example. If m2 = 3m1, a2 = a1 than F2=?F1
F2=m2a2 -> F2=3(m1)(a1)
you see that (m1)(a1) is F1.
In conclusion, F2 = 3F1.
When the mass of an object increases and the acceleration remains constant, the force exerted on the object also increases. This observation can be explained using Newton's second law of motion, which is stated as:
F = m * a
where F is the force, m is the mass of the object, and a is the acceleration.
In this scenario, when the mass increases, while the acceleration stays constant, the force exerted on the object must increase to maintain the same value of acceleration. This can be understood by rearranging the equation:
F = m * a
If we keep the acceleration (a) constant and increase the mass (m), then the force (F) must also increase to satisfy the equation.
To further illustrate this, consider the example of pushing a car. If you push a small car with a certain force (F) and achieve a constant acceleration, then if you were to push a bigger car with the same force, its acceleration would be lower. In order to maintain the same constant acceleration, a larger force would need to be applied to the bigger car due to its increased mass.
Therefore, when mass increases and acceleration remains constant, the force exerted on the object also increases.