Question

an object has an acceleration of 18.0 m/s/s. if the mass of this object were doubled (with no change in its net force), then its new acceleration would be ______ m/s/s.
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new acceleration (in m/s/s)

Explanation:

Step1: Use Newton's second law

Newton's second law is \(F = ma\). Let the initial mass be \(m\), initial acceleration \(a = 18.0\ m/s^{2}\), so \(F=m\times18\).

Step2: Analyze the new - mass situation

When the mass is doubled (\(m' = 2m\)) and \(F\) is constant. From \(F=m'a'\), substitute \(F = 18m\) and \(m'=2m\) into \(F=m'a'\). We get \(18m=(2m)a'\).

Step3: Solve for the new acceleration

Divide both sides of the equation \(18m=(2m)a'\) by \(2m\). The \(m\) terms cancel out (\(m
eq0\)), and \(a'=\frac{18}{2}=9.0\ m/s^{2}\).

Answer:

\(9.0\)