Question

an object has an acceleration of 6.0 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.

Explanation:

Step1: Recall Newton's second law

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

Step2: Analyze the new - mass situation

The new mass \(m_{new}=2m\), and the force \(F\) remains the same. Using \(F = m_{new}a_{new}\), substitute \(F = 6m\) and \(m_{new}=2m\) into the equation: \(6m=(2m)a_{new}\).

Step3: Solve for the new acceleration

Divide both sides of the equation \(6m=(2m)a_{new}\) by \(2m\). Since \(m
eq0\) (mass of a non - zero object), \(\frac{6m}{2m}=a_{new}\).

Answer:

\(3.0\)