Question

having problems staying logged in or are you experiencing issues? please visit our troubleshooting section for solutions. 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. student name: lr@ss.w**s.nt level: wizard progress report tap for question - specific help help me! view directions to main menu new acceleration (in m/s/s) check answer

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: Analyze the new - mass situation

The new mass \(m_{new}=\frac{1}{3}m\), and \(F\) is unchanged. Using \(F = m_{new}a_{new}\), substitute \(F = 6m\) and \(m_{new}=\frac{1}{3}m\) into the equation: \(6m=\frac{1}{3}m\times a_{new}\).

Step3: Solve for the new acceleration

Since \(m
eq0\) (mass of a non - zero object), we can cancel out \(m\) from both sides of the equation \(6m=\frac{1}{3}m\times a_{new}\). We get \(a_{new}=6\times3\).

Answer:

\(18\)