Alex is asked to move two boxes of books in contact with each other and resting

Question

Alex is asked to move two boxes of books in contact with each other and resting on a frictionless floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force

p = 9.4 N. Here box A has a mass mA = 12.5 kg and box B has a mass mB = 7.0 kg. The contact force between the two boxes is

cand

denotes the normal force.

(a) What is the acceleration of the two boxes?

(b) What is the force exerted on mB by mA?

(c) If Alex were to push from the other side on the 7.0 kg box, how would your answer to part (b) change?

Alex is asked to move two boxes of books in contact with each other and resting on a frictionless floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force F p = 9.4 N. Here box A has a mass mA = 12.5 kg and box B has a mass mB = 7.0 kg. The contact force between the two boxes is F cand N denotes the normal force. What is the acceleration of the two boxes? What is the force exerted on mB by mA? If Alex were to push from the other side on the 7.0 kg box, how would your answer to part (b) change?

Explanation / Answer

a)a = F/(mA+mB) = 9.4/(12.5+7) = 0.482 m/s^2

b)netforce on mA, Fnet,A = 9.4 - FBonA

mA*a = 9.4 - FBonA

FBonA = 9.4 - mA*a = 9.4 - 12.5*0.482 = 3.374 N

so, FAon B = 3.374 N

here FAonB = FBonA, but these two act in opposite direction.


c) no

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