To push a crate of mass 100 kg up a frictionless ramp with an angle of 15 ° to the horizontal, a worker exerts a force of 1200 N parallel to the incline. The crate moves a distance of 5 m What work is done on the crate by the worker? Submit Answer Tries 0/2 What work is done by the weight of the crate? Submit Answer Tries 0/2 What work is done by the normal force exerted by the floor on the crate?? Submit Answer Tries 0/2 What is the total work done on the crate?

College Physics
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ISBN:9781305952300
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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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### Understanding Work and Force on an Inclined Plane

**Diagram Explanation**

The diagram features a red crate on a frictionless ramp inclined at an angle \( \theta \). Various forces and trajectories are labeled:

- **\( FBD \)** (Free Body Diagram):
  - **\( N_{1S} \)**: Normal force perpendicular to the surface.
  - **\( N_{1H} \)**: Horizontal component of the normal force.
  - **\( W_{1E} \)**: Weight or gravitational force acting downward.

- **Inclined Plane Geometry**:
  - The inclined plane is labeled with its angle \( \theta \).
  - The distance moved along the plane is marked as \( \text{Distance Pushed (L)} \).
  - \( L \cos \theta \): Horizontal component of the distance.
  - \( L \sin \theta \): Vertical component of the distance.

---

#### Problem Statement

To push a crate of mass **100 kg** up a frictionless ramp with an angle of **15°** to the horizontal, a worker exerts a force of **1200 N** parallel to the incline.

- **The crate moves a distance of 5 m.**

#### Questions

1. **What work is done on the crate by the worker?**

   \[
   \text{Submit Answer} \quad [ \text{ J}]
   \]
   \text{Tries 0/2}

2. **What work is done by the weight of the crate?**

   \[
   \text{Submit Answer} \quad [ \text{ J}]
   \]
   \text{Tries 0/2}

3. **What work is done by the normal force exerted by the floor on the crate?**

   \[
   \text{Submit Answer} \quad [ \text{ J}]
   \]
   \text{Tries 0/2}

4. **What is the total work done on the crate?**

   \[
   \text{Submit Answer} \quad [ \text{ J}]
   \]
   \text{Tries 0/2}

---

This exploration helps in understanding how work, force, and movement interact on an inclined plane in physics.
Transcribed Image Text:### Understanding Work and Force on an Inclined Plane **Diagram Explanation** The diagram features a red crate on a frictionless ramp inclined at an angle \( \theta \). Various forces and trajectories are labeled: - **\( FBD \)** (Free Body Diagram): - **\( N_{1S} \)**: Normal force perpendicular to the surface. - **\( N_{1H} \)**: Horizontal component of the normal force. - **\( W_{1E} \)**: Weight or gravitational force acting downward. - **Inclined Plane Geometry**: - The inclined plane is labeled with its angle \( \theta \). - The distance moved along the plane is marked as \( \text{Distance Pushed (L)} \). - \( L \cos \theta \): Horizontal component of the distance. - \( L \sin \theta \): Vertical component of the distance. --- #### Problem Statement To push a crate of mass **100 kg** up a frictionless ramp with an angle of **15°** to the horizontal, a worker exerts a force of **1200 N** parallel to the incline. - **The crate moves a distance of 5 m.** #### Questions 1. **What work is done on the crate by the worker?** \[ \text{Submit Answer} \quad [ \text{ J}] \] \text{Tries 0/2} 2. **What work is done by the weight of the crate?** \[ \text{Submit Answer} \quad [ \text{ J}] \] \text{Tries 0/2} 3. **What work is done by the normal force exerted by the floor on the crate?** \[ \text{Submit Answer} \quad [ \text{ J}] \] \text{Tries 0/2} 4. **What is the total work done on the crate?** \[ \text{Submit Answer} \quad [ \text{ J}] \] \text{Tries 0/2} --- This exploration helps in understanding how work, force, and movement interact on an inclined plane in physics.
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