Question

each driver pushes with the same force. order the colors of the cars to show the size of the acceleration each car will have as it begins to move. larger acceleration

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration. Given \(F\) is constant, we can rewrite the formula as \(a=\frac{F}{m}\). So, acceleration is inversely proportional to mass.

Step2: Compare the masses

We have the masses: white (\(m_{white}=3955\) kg), green (\(m_{green} = 3242\) kg), red (\(m_{red}=2414\) kg), gray (\(m_{gray}=2782\) kg), black (\(m_{black}=4208\) kg).
Since \(a=\frac{F}{m}\) ( \(F\) is constant), the smaller the mass \(m\), the larger the acceleration \(a\).
We order the masses from smallest to largest: \(m_{red}

Step3: Determine the order of acceleration

Using the inverse - proportionality \(a=\frac{F}{m}\), the order of acceleration (largest to smallest) is based on the reverse order of mass.

Answer:

red, gray, green, white, black