Question

an object has an acceleration of 6.0 m/s/s. if the mass of this object were reduced to one - third the original value (with no change in its net force), then its new acceleration would be______m/s/s.

Explanation:

Step1: Use Newton's second law

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

Step2: Find the new acceleration

The new mass \(m_{new}=\frac{1}{3}m\), and \(F\) remains the same. Using \(F = m_{new}a_{new}\), substitute \(F = 6m\) and \(m_{new}=\frac{1}{3}m\) into the equation: \(6m=\frac{1}{3}m\times a_{new}\). Solve for \(a_{new}\), cancel out \(m\) (since \(m
eq0\)) from both sides of the equation. We get \(a_{new}=6\times3\).

Answer:

\(18\)