A person pushes a 12.5 kg lawn mower at constant speed with a force of 82.5 N directed along the handle, which is at an angle of 45.0° to the horizontal. Y Part B Calculate the horizontal friction force on the mower. Express your answer with the appropriate units. μA → Fir = Value Units Submit Request Answer Part C Calculate the normal force exerted vertically upward on the mower by the ground. Express your answer with the appropriate units. 0 μA → ? FN = Value Units Submit Request Answer ?
A person pushes a 12.5 kg lawn mower at constant speed with a force of 82.5 N directed along the handle, which is at an angle of 45.0° to the horizontal. Y Part B Calculate the horizontal friction force on the mower. Express your answer with the appropriate units. μA → Fir = Value Units Submit Request Answer Part C Calculate the normal force exerted vertically upward on the mower by the ground. Express your answer with the appropriate units. 0 μA → ? FN = Value Units Submit Request Answer ?
College Physics
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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![### Assignments
#### CH4 HW
#### Problem 4.50
A person pushes a 12.5 kg lawn mower at constant speed with a force of 82.5 N directed along the handle, which is at an angle of 45.0° to the horizontal.
#### Part B
Calculate the horizontal friction force on the mower.
**Express your answer with the appropriate units.**
Input Box:
```
\[ F_{\text{fr}} = \]
```
Units Input Box:
```
\[\text{Units}\]
```
**Buttons:**
- Submit
- Request Answer
#### Part C
Calculate the normal force exerted vertically upward on the mower by the ground.
**Express your answer with the appropriate units.**
Input Box:
```
\[ F_N = \]
```
Units Input Box:
```
\[\text{Units}\]
```
**Buttons:**
- Submit
- Request Answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F658f5f0c-3143-47f8-9a3f-a2c28256f853%2F9aff6286-ed0d-462d-bfc8-de05a564d3bb%2F88x8k5p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Assignments
#### CH4 HW
#### Problem 4.50
A person pushes a 12.5 kg lawn mower at constant speed with a force of 82.5 N directed along the handle, which is at an angle of 45.0° to the horizontal.
#### Part B
Calculate the horizontal friction force on the mower.
**Express your answer with the appropriate units.**
Input Box:
```
\[ F_{\text{fr}} = \]
```
Units Input Box:
```
\[\text{Units}\]
```
**Buttons:**
- Submit
- Request Answer
#### Part C
Calculate the normal force exerted vertically upward on the mower by the ground.
**Express your answer with the appropriate units.**
Input Box:
```
\[ F_N = \]
```
Units Input Box:
```
\[\text{Units}\]
```
**Buttons:**
- Submit
- Request Answer
![### Physics Problem: Forces Acting on a Pushed Lawn Mower
**Problem Description:**
A person pushes a 12.5 kg lawn mower at constant speed with a force of 82.5 N directed along the handle, which is at an angle of 45.0° to the horizontal.
**Instructions:**
Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded.
**Required Vectors:**
1. **Force of Gravity (\( \vec{F}_g \))**: The force of gravity acting on the lawn mower.
2. **Friction Force (\( \vec{F}_r \))**: The force of friction opposing the motion of the lawn mower.
3. **Normal Force (\( \vec{F}_N \))**: The perpendicular contact force exerted by the ground on the lawn mower.
**Diagram Explanation:**
The image provided shows a person pushing a lawn mower. The force applied (\( \vec{F} \)) is represented by a vector along the handle at a 45° angle to the horizontal. The position of where the vectors should be drawn originates from a black dot:
1. **Force of Gravity (\( \vec{F}_g \))**: This vector points downward, representing the gravitational force acting on the 12.5 kg lawn mower.
2. **Friction Force (\( \vec{F}_r \))**: This vector typically points in the opposite direction of the motion, parallel to the surface.
3. **Normal Force (\( \vec{F}_N \))**: This vector points perpendicular to the ground, representing the support force exerted by the ground on the lawn mower.
**Concepts to Consider:**
- **Newton's First Law** (Law of Inertia): Since the mower is moving at a constant speed, the net force acting on it must be zero.
- **Components of Forces**: When decomposing forces into horizontal and vertical components, use trigonometric functions to find the respective components along the axes.
**Calculation Tips:**
1. **Force of Gravity (\( \vec{F}_g \))**: Calculate using \( F_g = m \cdot g \), where \( m \) is the mass (12.5 kg) and \( g \) is the acceleration due to gravity (9.8 m/s²).
2. **Normal](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F658f5f0c-3143-47f8-9a3f-a2c28256f853%2F9aff6286-ed0d-462d-bfc8-de05a564d3bb%2F7ybiq2f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Physics Problem: Forces Acting on a Pushed Lawn Mower
**Problem Description:**
A person pushes a 12.5 kg lawn mower at constant speed with a force of 82.5 N directed along the handle, which is at an angle of 45.0° to the horizontal.
**Instructions:**
Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded.
**Required Vectors:**
1. **Force of Gravity (\( \vec{F}_g \))**: The force of gravity acting on the lawn mower.
2. **Friction Force (\( \vec{F}_r \))**: The force of friction opposing the motion of the lawn mower.
3. **Normal Force (\( \vec{F}_N \))**: The perpendicular contact force exerted by the ground on the lawn mower.
**Diagram Explanation:**
The image provided shows a person pushing a lawn mower. The force applied (\( \vec{F} \)) is represented by a vector along the handle at a 45° angle to the horizontal. The position of where the vectors should be drawn originates from a black dot:
1. **Force of Gravity (\( \vec{F}_g \))**: This vector points downward, representing the gravitational force acting on the 12.5 kg lawn mower.
2. **Friction Force (\( \vec{F}_r \))**: This vector typically points in the opposite direction of the motion, parallel to the surface.
3. **Normal Force (\( \vec{F}_N \))**: This vector points perpendicular to the ground, representing the support force exerted by the ground on the lawn mower.
**Concepts to Consider:**
- **Newton's First Law** (Law of Inertia): Since the mower is moving at a constant speed, the net force acting on it must be zero.
- **Components of Forces**: When decomposing forces into horizontal and vertical components, use trigonometric functions to find the respective components along the axes.
**Calculation Tips:**
1. **Force of Gravity (\( \vec{F}_g \))**: Calculate using \( F_g = m \cdot g \), where \( m \) is the mass (12.5 kg) and \( g \) is the acceleration due to gravity (9.8 m/s²).
2. **Normal
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