E1.A horizontally directed force of 25.0 N is used to pull a box a distance of 1.5 m across a tabletop. How much work is done by the 25.0-N force? E2.A woman does 230.0 J of work to move a table 1.6 m across the floor. What is the magnitude of the force that the woman applied to the table if this force is applied in the horizontal direction? E3.A force of &5.0 N used to push a chair across a room does 395.0 Jof work. How far does the chair move in this process? don
E1.A horizontally directed force of 25.0 N is used to pull a box a distance of 1.5 m across a tabletop. How much work is done by the 25.0-N force? E2.A woman does 230.0 J of work to move a table 1.6 m across the floor. What is the magnitude of the force that the woman applied to the table if this force is applied in the horizontal direction? E3.A force of &5.0 N used to push a chair across a room does 395.0 Jof work. How far does the chair move in this process? don
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Transcribed Image Text:**Work and Force Problems**
**E1**: A horizontally directed force of 25.0 N is used to pull a box a distance of 1.5 m across a tabletop. How much work is done by the 25.0-N force?
- **Answer**: The work done by the force is calculated as the product of the force and the distance moved in the direction of the force.
**E2**: A woman does 230.0 J of work to move a table 1.6 m across the floor. What is the magnitude of the force that the woman applied to the table if this force is applied in the horizontal direction?
- **Answer**: The magnitude of the force can be calculated by dividing the work done by the distance over which it is applied.
**E3**: A force of 85.0 N used to push a chair across a room does 395.0 J of work. How far does the chair move in this process?
- **Answer**: The distance moved by the chair can be found by dividing the work done by the force applied.
**E4**: A rope applies a horizontal force of 280.0 N to pull a crate a distance of 2.2 m across the floor. A frictional force of 55.0 N opposes this motion. What is the work done by the force applied by the rope?
- **Questions**:
1. What is the work done by the frictional force?
2. What is the total work done on the crate?
**E5**: A force of 130 N is used to drag a crate 4 m across a floor. The force is directed at an angle upward from the crate so that the vertical component of the force is 120 N and the horizontal component is 50 N, as shown in the diagram.
- **Questions**:
1. What is the work done by the horizontal component of the force?
2. What is the work done by the vertical component of the force?
3. What is the total work done by the 130-N force?
**Diagram Explanation**:
The diagram shows a vector representation of the force acting at an angle, with the horizontal and vertical components marked as 50 N and 120 N respectively. The total force vector has a magnitude of 130 N. The angle of
Transcribed Image Text:### Transcription for Educational Website
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#### Physics Problems
**Diagram: E5**
A diagram shows a setup with the following details:
- A block on a horizontal surface is connected by a string at a 120° angle from the surface.
- A force of 50 N is applied.
- The block is positioned 4 meters from the attachment point on the surface.
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**E6.**
A net force of 58.0 N accelerates a 3.9 kg mass over a distance of 16.0 m.
- **Question 1:** What is the work done by this net force?
- **Question 2:** What is the increase in kinetic energy of the mass?
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**E7.**
A 0.4 kg ball has a velocity of 26.0 m/s.
- **Question 1:** What is the kinetic energy of the ball?
- **Question 2:** How much work would be required to stop the ball?
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**E8.**
A box with a mass of 13.0 kg is lifted (without acceleration) through a height of 3.0 m in order to place it upon the shelf of a closet.
- **Question 1:** What is the increase in potential energy of the box?
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**E10.**
To stretch a spring a distance of 0.30 m from the equilibrium position, 180 J of work is done.
- **Question 1:** What is the increase in potential energy of the spring?
- **Question 2:** What is the value of the spring constant \( k \) of the spring?
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