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Multiple Choice
According to Newton's Second Law, , one way to increase the acceleration of an object is by:
A
Decreasing the net force while keeping the mass constant
B
Increasing both the net force and the mass by the same factor
C
Increasing the net force while keeping the mass constant
D
Increasing the mass while keeping the net force constant
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Verified step by step guidance
1
Recall Newton's Second Law, which states that acceleration \(a\) is given by the formula \(a = \frac{F}{m}\), where \(F\) is the net force applied to an object and \(m\) is its mass.
Understand that acceleration is directly proportional to the net force \(F\) and inversely proportional to the mass \(m\) of the object.
Analyze the first option: Decreasing the net force \(F\) while keeping the mass \(m\) constant will decrease the acceleration \(a\), since \(a\) depends directly on \(F\).
Analyze the second option: Increasing both the net force \(F\) and the mass \(m\) by the same factor means the ratio \(\frac{F}{m}\) remains the same, so the acceleration \(a\) does not change.
Analyze the third option: Increasing the net force \(F\) while keeping the mass \(m\) constant will increase the acceleration \(a\), because \(a\) increases as \(F\) increases when \(m\) is fixed.