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i need a written explanation please. it is asking acceleration vs weight and NOT acceleration vs mass

4. Why do we expect the graph of acceleration-versus-hanging weight to be linear? Briefly explain.
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Answer #1

As we know hanging weight is a force and according to Newton's second law of motion force is directly proportional to mass times acceleration (i.e. F=ma). Means it is the equation of form y=mx+c (here c=0), this equation corresponds to straight line.

Hence, we can say that graph of acceleration vs. hanging weight will be linear. It's slope is constant i.e. a= F/m means slope will be 1/m which is a constant quantity. So the graph will be linear.

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