Two wooden crates with masses as shown are tied together by a horizontal cord. Another cord is tied to the first crate, and it is pulled with a force of 195 N at an angle of 20.0°, as shown. Each crate has a coefficient of kinetic friction of 0.470. 25.0 kg 14.0 kg 20.0°

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a. Find the acceleration of the crates. answer in m/s^2

b. Find the tension in the rope connecting the two crates. answer in N

c. If the crates are initially at rest, how far do they move in the first 3.00 s? answer in m

 

**Understanding Kinetic Friction and Tension in Connected Crates**

Two wooden crates with masses of 14.0 kg and 25.0 kg, respectively, are connected by a horizontal cord. Another cord is attached to the first crate, and it is being pulled with a force of 195 N at an angle of 20.0° above the horizontal.

**Diagram Explanation:**
The image shows two wooden crates placed on a flat surface. The crate on the left has a mass of 14.0 kg, and the crate on the right has a mass of 25.0 kg. They are connected by a horizontal cord.

An additional cord is attached to the crate on the right (25.0 kg), and it is being pulled with a force of 195 N. The direction of the pull is at a 20.0° angle above the horizontal plane, illustrated by an arrow pointing towards the top right. The force is indicated as 195 N and the angle is labeled as 20.0° next to the arrow.

**Additional Details:**
- Each crate has a coefficient of kinetic friction of 0.470.

This scenario exemplifies the application of forces, friction, and the interactions between connected objects in physics. Understanding these principles is crucial for solving problems related to motion and force in classic mechanics.
Transcribed Image Text:**Understanding Kinetic Friction and Tension in Connected Crates** Two wooden crates with masses of 14.0 kg and 25.0 kg, respectively, are connected by a horizontal cord. Another cord is attached to the first crate, and it is being pulled with a force of 195 N at an angle of 20.0° above the horizontal. **Diagram Explanation:** The image shows two wooden crates placed on a flat surface. The crate on the left has a mass of 14.0 kg, and the crate on the right has a mass of 25.0 kg. They are connected by a horizontal cord. An additional cord is attached to the crate on the right (25.0 kg), and it is being pulled with a force of 195 N. The direction of the pull is at a 20.0° angle above the horizontal plane, illustrated by an arrow pointing towards the top right. The force is indicated as 195 N and the angle is labeled as 20.0° next to the arrow. **Additional Details:** - Each crate has a coefficient of kinetic friction of 0.470. This scenario exemplifies the application of forces, friction, and the interactions between connected objects in physics. Understanding these principles is crucial for solving problems related to motion and force in classic mechanics.
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