### Physics Problem**Q7.** You push a 100-kg file cabinet up on a ramp with a force of 500 N; your push force is parallel to the ramp. The cabinet moves a distance of 8.0 m. The coefficient of kinetic friction is 0.30. During this process, *Clearly show all work!***a) What is the work done by the push force?****b) What is the work done by the normal force?****c) What is the work done by the weight force?****d) What is the work done by the friction force?****e) What is the net work? What is the final speed of the file cabinet?**#### Diagram DescriptionThe diagram shows a 100-kg file cabinet being pushed up a ramp inclined at an angle of 10 degrees. A person is pushing the cabinet upward along the incline. The ramp is situated on a flat green surface, and the angle of inclination is labeled as 10 degrees. ### Explanation of Relevant Concepts- **Force (N):** Newton's measure of force.- **Work (J):** Work is the measure of energy transfer when an object is moved over a distance by an external force. \[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]- **Kinetic Friction:** Frictional force opposing the motion of objects sliding over a surface. \[ \text{Friction Force, } F_f = \mu \times N \] Where \(\mu\) is the coefficient of kinetic friction and \(N\) is the normal force.- **Normal Force (N):** Perpendicular force exerted by a surface to support the weight of an object resting on it.- **Gravitational Force \(F_g\):** \(F_g = mg\), where \(m\) is mass and \(g\) is gravitational acceleration (\(9.8 \, m/s^2\)).### CalculationsFor part **a)**, **b)**, **c)**, and **d)**, we'll need to calculate the normal force, gravitational force components, friction force, and then apply these to work equations.For part **e)**, we'll sum the individual works to find the net work and use the work-energy

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Q7. You push a 100-kg file cabinet up on a ramp with a force of 500 N, your push force is parallel to the ramp. The cabinet moves a distance of 8.0 m. The coefficient of the kinetic friction is 0.30. During this process, Clearly show all work! a) what is the work done by the push force? b) what is the work done by the normal force? c) what is the work done by the weight force? d) what is the work done by the friction force? 10.0⁰

Q7. You push a 100-kg file cabinet up on a ramp with a force of 500 N, your push force is parallel to the ramp. The cabinet moves a distance of 8.0 m. The coefficient of the kinetic friction is 0.30. During this process, Clearly show all work! a) what is the work done by the push force? b) what is the work done by the normal force? c) what is the work done by the weight force? d) what is the work done by the friction force? 10.0⁰

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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### Physics Problem

**Q7.** You push a 100-kg file cabinet up on a ramp with a force of 500 N; your push force is parallel to the ramp. The cabinet moves a distance of 8.0 m. The coefficient of kinetic friction is 0.30. During this process,
*Clearly show all work!*

**a) What is the work done by the push force?**

**b) What is the work done by the normal force?**

**c) What is the work done by the weight force?**

**d) What is the work done by the friction force?**

**e) What is the net work? What is the final speed of the file cabinet?**

#### Diagram Description
The diagram shows a 100-kg file cabinet being pushed up a ramp inclined at an angle of 10 degrees. A person is pushing the cabinet upward along the incline. The ramp is situated on a flat green surface, and the angle of inclination is labeled as 10 degrees.

### Explanation of Relevant Concepts

- **Force (N):** Newton's measure of force.
- **Work (J):** Work is the measure of energy transfer when an object is moved over a distance by an external force.
\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]
- **Kinetic Friction:** Frictional force opposing the motion of objects sliding over a surface.
\[
\text{Friction Force, } F_f = \mu \times N
\]
Where \(\mu\) is the coefficient of kinetic friction and \(N\) is the normal force.
- **Normal Force (N):** Perpendicular force exerted by a surface to support the weight of an object resting on it.
- **Gravitational Force \(F_g\):** \(F_g = mg\), where \(m\) is mass and \(g\) is gravitational acceleration (\(9.8 \, m/s^2\)).

### Calculations

For part **a)**, **b)**, **c)**, and **d)**, we'll need to calculate the normal force, gravitational force components, friction force, and then apply these to work equations.

For part **e)**, we'll sum the individual works to find the net work and use the work-energy

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