The 40 kg crate in the figure is traveling to the right with an initial v0=1.2 m/s, when a person begins to pull on a rope with 200 N at an angle 30 degrees from the horizontal. The coefficient of kinetic friction is 0.3. Draw a free-body diagram of the block and calculate all forces on it. What is the speed of the crate after it is pulled 20 m? How much thermal energy was created? Do not use kinematics to solve the

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Chapter1: Units, Trigonometry. And Vectors
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please refer to the attachment for the question and make sure to provide step by step explanation and a figure for what is happening, thanks,

The image depicts a block placed on a horizontal surface. A force \( T = 200 \, \text{N} \) is applied to the block at an angle \( \theta = 30^\circ \) above the horizontal plane. 

Key features of the diagram:

- **Block**: Represents a mass on a flat surface.
- **Force Vector**: The force \( T \) is shown with a red arrow at an angle \( \theta \) with respect to the horizontal.
- **Angle \( \theta \)**: The angle between the force direction and the horizontal is \( 30^\circ \).
- **Distance**: The block appears to be along a surface measuring 20 meters.

This illustration can be used to analyze the components of the force acting on the block, illustrating concepts such as tension, angle of force application, and horizontal distance.
Transcribed Image Text:The image depicts a block placed on a horizontal surface. A force \( T = 200 \, \text{N} \) is applied to the block at an angle \( \theta = 30^\circ \) above the horizontal plane. Key features of the diagram: - **Block**: Represents a mass on a flat surface. - **Force Vector**: The force \( T \) is shown with a red arrow at an angle \( \theta \) with respect to the horizontal. - **Angle \( \theta \)**: The angle between the force direction and the horizontal is \( 30^\circ \). - **Distance**: The block appears to be along a surface measuring 20 meters. This illustration can be used to analyze the components of the force acting on the block, illustrating concepts such as tension, angle of force application, and horizontal distance.
The problem involves a 40 kg crate moving to the right with an initial velocity of 1.2 m/s. A force of 200 N is applied via a rope at an angle of 30 degrees from the horizontal. The coefficient of kinetic friction between the crate and the surface is 0.3. 

Tasks:
- Draw a free-body diagram for the crate, illustrating all the forces acting on it.
- Calculate the individual forces: gravitational force, normal force, applied force, frictional force, and any others present.
- Determine the speed of the crate after it has been pulled 20 meters.
- Calculate the thermal energy produced due to friction.

Note: Use the work-energy principle rather than kinematics to solve this problem.
Transcribed Image Text:The problem involves a 40 kg crate moving to the right with an initial velocity of 1.2 m/s. A force of 200 N is applied via a rope at an angle of 30 degrees from the horizontal. The coefficient of kinetic friction between the crate and the surface is 0.3. Tasks: - Draw a free-body diagram for the crate, illustrating all the forces acting on it. - Calculate the individual forces: gravitational force, normal force, applied force, frictional force, and any others present. - Determine the speed of the crate after it has been pulled 20 meters. - Calculate the thermal energy produced due to friction. Note: Use the work-energy principle rather than kinematics to solve this problem.
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