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Consider two stacked boxes sitting on a table. Box A is on the bottom and has...

Consider two stacked boxes sitting on a table. Box A is on the bottom and has a coefficient of friction with the table of ? = 0.14. Box B has a mass of 3 kg and is stacked on top of Box A, which as a mass of 5 kg. a. What coefficient of friction between the two boxes is needed for Box B to accelerate at a rate of 1.7 m/s2? b. What force must be applied to Box A is necessary produce the same acceleration?

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Answer #1

a) For box B, a = 1.7 m/s2, m = 3 kg

So, net force on B is

Now, this force is provided by friction between block A and B surfaces.

b) For box A, a = 1.7 m/s2, m = 5 kg

net force on A is

But the friction which is acting on block A is

Therefore, required force is

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