Question

matching question
match the changes of force to the changes of an objects acceleration.
instructions
increase in force
decrease in force
no change in force
increase in acceleration
no change in acceleration
decrease in acceleration

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration). If mass \(m\) is constant (assuming the object's mass doesn't change), then \(a=\frac{F}{m}\).

Step2: Analyze the relationship

• When there is an increase in force (\(F\)), since \(a=\frac{F}{m}\) and \(m\) is constant, \(a\) (acceleration) will increase.
• When there is a decrease in force (\(F\)), since \(a = \frac{F}{m}\) and \(m\) is constant, \(a\) (acceleration) will decrease.
• When there is no change in force (\(F\)), since \(a=\frac{F}{m}\) and \(m\) is constant, \(a\) (acceleration) will have no change.

Answer:

Increase in Force → Increase in acceleration
Decrease in Force → Decrease in acceleration
No change in Force → No change in acceleration