Question

an object has an acceleration of 12.0 m/s/s. if the mass of this object were tripled (with no change in its net force), then its new acceleration would be ______ m/s/s. enter your answer directly into the field or use our built - in number pad. new acceleration (in m/s/s)

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is the net force, \(m\) is the mass, and \(a\) is the acceleration. Initially, \(F=m\times12\).

Step2: Analyze the new - mass situation

When the mass is tripled (\(m_{new}=3m\)) and \(F\) remains the same. Using \(F = m_{new}a_{new}\), substitute \(F=m\times12\) and \(m_{new}=3m\) into the equation: \(m\times12=(3m)a_{new}\).

Step3: Solve for the new acceleration

Divide both sides of the equation \(m\times12=(3m)a_{new}\) by \(3m\). The \(m\) terms cancel out (\(m
eq0\)), and we get \(a_{new}=\frac{12}{3}\).

Answer:

\(4\)