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A 65kg box is being pulled across a floor that has friction with a rope that has a tension of 50 N at a constant speed of 1 m/s and an angle of 60o. (a) How much heat energy is generated in 5 s? (b) How much Power is required to pull the rope?

A 65kg box is being pulled across a floor that has friction with a rope that has a tension of 50 N at a constant speed of 1 m/s and an angle of 60o. (a) How much heat energy is generated in 5 s? (b) How much Power is required to pull the rope?

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A 65kg box is being pulled across a floor that has friction with a rope that has a tension of 50 N at a constant speed of 1 m/s and an angle of 60o. (a) How much heat energy is generated in 5 s? (b) How much Power is required to pull the rope? 

**Force Diagram of a Block on a Rough Surface** This diagram illustrates a block of mass \( m \) on a rough surface, experiencing various forces. **Forces Acting on the Block:** 1. **Gravitational Force (\( F_g \))**: - Direction: Downward - Description: This force, also known as the weight of the block, is represented by the vector \( F_g \). It acts vertically downward due to gravity. 2. **Normal Force (\( F_N \))**: - Direction: Upward - Description: This force is exerted by the surface on the block, acting perpendicular to the surface. It is represented by the vector \( F_N \). 3. **Applied Force (\( T \))**: - Direction: At an angle \( \theta \) - Description: This force is applied to the block at an angle \( \theta \) to the horizontal, represented by the vector \( T \). 4. **Kinetic Friction Force (\( f_k \))**: - Direction: Opposite to the direction of motion - Description: This is the frictional force acting opposite to the direction of the block's velocity \( v \) while the block is moving. Represented by the vector \( f_k \), this force resists the block's motion. 5. **Velocity (\( v \))**: - Direction: Horizontal (to the right) - Description: The red arrow indicates the direction of the block's velocity \( v \), which is horizontal to the right. **Additional Information**: - The angle \( \theta \) is the angle at which the applied force \( T \) is inclined to the horizontal. - The rough surface indicates the presence of friction (kinetic friction in this case), affecting the block's motion. This force diagram is fundamental in understanding the dynamics of objects on inclined planes and surfaces with friction. It aids in solving problems related to motion, forces, and Newton's laws.
Transcribed Image Text:**Force Diagram of a Block on a Rough Surface** This diagram illustrates a block of mass \( m \) on a rough surface, experiencing various forces. **Forces Acting on the Block:** 1. **Gravitational Force (\( F_g \))**: - Direction: Downward - Description: This force, also known as the weight of the block, is represented by the vector \( F_g \). It acts vertically downward due to gravity. 2. **Normal Force (\( F_N \))**: - Direction: Upward - Description: This force is exerted by the surface on the block, acting perpendicular to the surface. It is represented by the vector \( F_N \). 3. **Applied Force (\( T \))**: - Direction: At an angle \( \theta \) - Description: This force is applied to the block at an angle \( \theta \) to the horizontal, represented by the vector \( T \). 4. **Kinetic Friction Force (\( f_k \))**: - Direction: Opposite to the direction of motion - Description: This is the frictional force acting opposite to the direction of the block's velocity \( v \) while the block is moving. Represented by the vector \( f_k \), this force resists the block's motion. 5. **Velocity (\( v \))**: - Direction: Horizontal (to the right) - Description: The red arrow indicates the direction of the block's velocity \( v \), which is horizontal to the right. **Additional Information**: - The angle \( \theta \) is the angle at which the applied force \( T \) is inclined to the horizontal. - The rough surface indicates the presence of friction (kinetic friction in this case), affecting the block's motion. This force diagram is fundamental in understanding the dynamics of objects on inclined planes and surfaces with friction. It aids in solving problems related to motion, forces, and Newton's laws.
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