15. Two boxes are placed on a horizontal frictionless surface, as shown above. Box A has a mass of 10 kg and box B has a mass of 16 kg. A force of 54 N is pushing box A. B A F a) Draw a free-body diagram for each block showing all applied forces to scale. Next to each diagram show the direction of the acceleration of that object. b) Find the acceleration of the system of two boxes. c) Find the force of contact that each box exerts on its neighbor.

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**Physics Problem: Two Boxes on a Frictionless Surface**

**Problem Statement:**

15. Two boxes are placed on a horizontal frictionless surface, as shown in the diagram. Box A has a mass of 10 kg, and box B has a mass of 16 kg. A force of 54 N is applied pushing box A.

**Diagram Description:**

- A horizontal line represents a frictionless surface.
- Two boxes, labeled A and B, rest on the line. Box A is to the left of Box B.
- An arrow labeled F, representing a force of 54 N, points to the right towards box A.

**Tasks:**

a) Draw a free-body diagram for each block showing all applied forces to scale. Next to each diagram, indicate the direction of the acceleration of that object.

b) Calculate the acceleration of the system of two boxes.

c) Determine the force of contact that each box exerts on its neighbor.
Transcribed Image Text:**Physics Problem: Two Boxes on a Frictionless Surface** **Problem Statement:** 15. Two boxes are placed on a horizontal frictionless surface, as shown in the diagram. Box A has a mass of 10 kg, and box B has a mass of 16 kg. A force of 54 N is applied pushing box A. **Diagram Description:** - A horizontal line represents a frictionless surface. - Two boxes, labeled A and B, rest on the line. Box A is to the left of Box B. - An arrow labeled F, representing a force of 54 N, points to the right towards box A. **Tasks:** a) Draw a free-body diagram for each block showing all applied forces to scale. Next to each diagram, indicate the direction of the acceleration of that object. b) Calculate the acceleration of the system of two boxes. c) Determine the force of contact that each box exerts on its neighbor.
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