A 30-N box is pulled upward 6.0 m along the surface of a ramp that rises at 30° above the horizontal. How much work does the pulling force do on the box during this process? O 180 J O 120 J O -120 J -180 J O -90 J

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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**Problem Statement:**

A 30-N box is pulled upward 6.0 m along the surface of a ramp that rises at 30° above the horizontal. How much work does the pulling force do on the box during this process?

**Options:**

- 180 J
- 120 J
- -120 J
- -180 J
- -90 J

**Explanation:**

In this problem, the work done by the pulling force can be calculated using the formula for work:

\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]

Where:
- **Force** is the force applied (30 N)
- **Distance** is the distance over which the force is applied (6.0 m)
- \(\theta\) is the angle between the force and the direction of motion (30°)

Substitute the given values into the formula to find the work done.
Transcribed Image Text:**Problem Statement:** A 30-N box is pulled upward 6.0 m along the surface of a ramp that rises at 30° above the horizontal. How much work does the pulling force do on the box during this process? **Options:** - 180 J - 120 J - -120 J - -180 J - -90 J **Explanation:** In this problem, the work done by the pulling force can be calculated using the formula for work: \[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \] Where: - **Force** is the force applied (30 N) - **Distance** is the distance over which the force is applied (6.0 m) - \(\theta\) is the angle between the force and the direction of motion (30°) Substitute the given values into the formula to find the work done.
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