Three blocks move on a frictionless surface with a 56 N force acting on the 12 kg block as shown. Determine (a) the acceleration of the total system, (b) the tension in the cord connecting the 12 kg and the 3 kg blocks, and (c) the normal force exerted by the 3 kg block on the 1 kg block. 3. 56 N 3 kg 12 kg 1 kg

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**Problem 3: Motion of Blocks on a Frictionless Surface**

*Scenario Description:*

Three blocks are positioned on a frictionless surface. A force of 56 Newtons (N) is applied horizontally to a 12 kg block. The blocks are arranged in the following order: the first block is 3 kg, the second block is 1 kg, and the third block is the 12 kg block to which the force is applied. The 3 kg block and the 1 kg block are connected by a cord, allowing them to move together.

*Figure Explanation:*

- **Block Diagram**: 

  - The block labeled "3 kg" is tan-colored.
  - The block labeled "1 kg" is blue-colored and positioned between the 3 kg and 12 kg blocks.
  - The block labeled "12 kg" is green-colored and has an arrow indicating a 56 N force applied to it horizontally to the right.

*Problem Requirements:*

1. **Determine the Acceleration of the Total System**:
   - Calculate the acceleration experienced by the entire system when the 56 N force is applied.

2. **Compute the Tension in the Cord**:
   - Determine the tension present in the cord connecting the 3 kg block and the 1 kg block.

3. **Calculate the Normal Force**:
   - Find the normal force exerted by the 3 kg block on the 1 kg block.

These calculations involve applying Newton's second law of motion and concepts related to tension and normal force in a frictionless context.
Transcribed Image Text:**Problem 3: Motion of Blocks on a Frictionless Surface** *Scenario Description:* Three blocks are positioned on a frictionless surface. A force of 56 Newtons (N) is applied horizontally to a 12 kg block. The blocks are arranged in the following order: the first block is 3 kg, the second block is 1 kg, and the third block is the 12 kg block to which the force is applied. The 3 kg block and the 1 kg block are connected by a cord, allowing them to move together. *Figure Explanation:* - **Block Diagram**: - The block labeled "3 kg" is tan-colored. - The block labeled "1 kg" is blue-colored and positioned between the 3 kg and 12 kg blocks. - The block labeled "12 kg" is green-colored and has an arrow indicating a 56 N force applied to it horizontally to the right. *Problem Requirements:* 1. **Determine the Acceleration of the Total System**: - Calculate the acceleration experienced by the entire system when the 56 N force is applied. 2. **Compute the Tension in the Cord**: - Determine the tension present in the cord connecting the 3 kg block and the 1 kg block. 3. **Calculate the Normal Force**: - Find the normal force exerted by the 3 kg block on the 1 kg block. These calculations involve applying Newton's second law of motion and concepts related to tension and normal force in a frictionless context.
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