Boxes A and B are in contact on a horizontal, frictionless surface, as shown in

Question

Boxes A and B are in contact on a horizontal, frictionless surface, as shown in the following figure. BoxA has mass 25.0kg and box B has mass 6.0kg . A horizontal force of 100N is exerted on box A.(Figure 1)

What is the magnitude of the force that box A exerts on box B?

Boxes A and B are in contact on a horizontal, frictionless surface, as shown in the following figure. Box A has mass 25.0kg and box B has mass 6.0kg . A horizontal force of 100N is exerted on box A.(Figure 1) What is the magnitude of the force that box A exerts on box B?

Explanation / Answer

What is the acceleration of the system?
Force on the system = 100 N
Mass of the system = 25kg + 6kg = 31 kg
Acceleration of the system = force/mass = 100/31 = 3.226 m/s^2

What is the magnitude of the force that block A exerts on block B?
Force = mass x acceleration = 6 x 3.226 N = 19.356 N

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