Three boxes are lined up so that they are touching each other on a nearly frictionless plane. Box A has a mass of ?A=21.5 kg,mA=21.5 kg, box B has a mass of ?B=28.0 kg,mB=28.0 kg, and box C has a mass of ?C=47.5 kg.mC=47.5 kg. An external force ?⃗ F→ pushes on box A toward the right, and the force that box B exerts on box C has a magnitude of 203 N.203 N. Ignore friction. What is the magnitude of the acceleration ?a of the boxes?

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Three boxes are lined up so that they are touching each other on a nearly frictionless plane. Box A has a mass of ?A=21.5 kg,mA=21.5 kg, box B has a mass of ?B=28.0 kg,mB=28.0 kg, and box C has a mass of ?C=47.5 kg.mC=47.5 kg. An external force ?⃗ F→ pushes on box A toward the right, and the force that box B exerts on box C has a magnitude of 203 N.203 N. Ignore friction.

What is the magnitude of the acceleration ?a of the boxes?

The image shows three blocks labeled A, B, and C placed next to each other on a flat surface. 

Block A is positioned on the left, block B is in the middle, and block C is on the right. They are stacked in increasing order of height and width from left to right. 

An arrow labeled \( \vec{F} \) points towards block A from the left, indicating the direction of force being applied to the system of blocks. The arrow is orange in color, and the force appears to be pushing the blocks from left to right.
Transcribed Image Text:The image shows three blocks labeled A, B, and C placed next to each other on a flat surface. Block A is positioned on the left, block B is in the middle, and block C is on the right. They are stacked in increasing order of height and width from left to right. An arrow labeled \( \vec{F} \) points towards block A from the left, indicating the direction of force being applied to the system of blocks. The arrow is orange in color, and the force appears to be pushing the blocks from left to right.
**Problem Statement: Determining External Force**

To calculate the external force acting on an object, you will need to determine the acceleration and then use it to find the force magnitude.

1. **Acceleration (a):**
   - Input the value of acceleration in the provided box.
   - The unit for acceleration is meters per second squared (m/s²).

   \[
   a = \_\_\_\_\_\_\_ \, \text{m/s}^2
   \]

2. **Magnitude of the External Force (F):**
   - Determine the external force applied by using the acceleration.
   - The unit for force is Newtons (N).

   \[
   F = \_\_\_\_\_\_\_ \, \text{N}
   \]

To solve this problem, you may need to apply Newton’s second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m * a). Ensure you have the mass value if needed to complete the calculation.
Transcribed Image Text:**Problem Statement: Determining External Force** To calculate the external force acting on an object, you will need to determine the acceleration and then use it to find the force magnitude. 1. **Acceleration (a):** - Input the value of acceleration in the provided box. - The unit for acceleration is meters per second squared (m/s²). \[ a = \_\_\_\_\_\_\_ \, \text{m/s}^2 \] 2. **Magnitude of the External Force (F):** - Determine the external force applied by using the acceleration. - The unit for force is Newtons (N). \[ F = \_\_\_\_\_\_\_ \, \text{N} \] To solve this problem, you may need to apply Newton’s second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m * a). Ensure you have the mass value if needed to complete the calculation.
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