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Question
2nd law definition
f = ma
what does the equation f = ma really mean?
checking for understanding
two objects are pushed with an equal amount of force. color the object that will have a higher acceleration green and the object that will have a lower acceleration purple.
80,000 kg 45 g
if you double the net force on an object, what happens to the acceleration?
example of newtons 2nd law
draw an example of newtons 2nd law in the space above. explain why your drawing represents the law in the space below.
Step1: Interpret Newton's second - law formula
Newton's second law is \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration. It means force is the product of mass and acceleration.
Step2: Analyze the equal - force situation
Given \(F_1=F_2\), from \(F = ma\) we can get \(a=\frac{F}{m}\). The object with smaller mass will have higher acceleration. Since \(45g = 0.045kg\) and \(0.045kg<80000kg\), the paper - airplane with mass \(45g\) should be colored green and the airplane with mass \(80000kg\) should be colored purple.
Step3: Analyze the effect of doubling force
From \(F = ma\), we can express \(a=\frac{F}{m}\). If we double the net - force (\(F' = 2F\)) and mass \(m\) is constant, then \(a'=\frac{F'}{m}=\frac{2F}{m}=2a\). So the acceleration doubles.
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- For the coloring part: Color the paper - airplane with mass \(45g\) green and the airplane with mass \(80000kg\) purple.
- For the force - doubling part: The acceleration doubles.