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Question
jenny always applies the same force to her bike when she begins a ride. order the magazines to show the size of the acceleration jennys bike will have at the beginning of each ride. larger acceleration
Step1: Recall Newton's second law
Newton's second law is \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration. Since \(F\) is constant, \(a=\frac{F}{m}\). So, acceleration is inversely proportional to mass.
Step2: Compare the masses
The masses of the magazines are: news (\(m_{news}=3\) kg), fashion (\(m_{fashion} = 1\) kg), entertainment (\(m_{entertainment}=5\) kg), digest (\(m_{digest}=2\) kg), catalog (\(m_{catalog}=6\) kg).
Since \(a=\frac{F}{m}\) ( \(F\) is constant), the smaller the mass \(m\), the larger the acceleration \(a\).
Ordering the masses from smallest to largest: \(m_{fashion} Using the inverse - proportionality \(a=\frac{F}{m}\), the order of acceleration (from largest to smallest) is the reverse order of the mass order. So the order of acceleration (largest to smallest) is: fashion, digest, news, entertainment, catalogStep3: Determine the order of acceleration
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fashion, digest, news, entertainment, catalog