Question

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an object has an acceleration of 6.0 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.
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new acceleration (in m/s/s)
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Explanation:

Step1: Use Newton's second law

Newton's second law is \(F = ma\). Let the initial mass be \(m\) and initial acceleration \(a = 6.0\ m/s^{2}\), so \(F=m\times6\).

Step2: Analyze the new - mass situation

The new mass \(m'=3m\) and the force \(F\) remains the same. Using \(F = m'a'\), substitute \(F = 6m\) and \(m'=3m\) into the equation: \(6m=(3m)\times a'\).

Step3: Solve for the new acceleration

Divide both sides of the equation \(6m=(3m)\times a'\) by \(3m\). We get \(a'=\frac{6m}{3m}=2\ m/s^{2}\).

Answer:

\(2\)