Question 15 A 57-kg packing crate is pulled with constant speed across a rough floor with a rope that is at an angle of 41 ° above the horizontal. Part A If the tension in the rope is 192 N, how much work is done on the crate by the rope to move it 8.1 m? Express your answer using two significant figures. W = J Submit Request Answer

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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**Question 15**

A 57-kg packing crate is pulled with constant speed across a rough floor with a rope that is at an angle of 41° above the horizontal.

**Part A**

If the tension in the rope is 192 N, how much work is done on the crate by the rope to move it 8.1 m?

Express your answer using two significant figures.

\( W = \)

[Answer Box: _______ J ]

[Submit Button] [Request Answer]

---

**Explanation**

This problem involves calculating the work done on a crate being pulled at an angle. The key factors are:

- **Mass of the crate:** 57 kg
- **Tension in the rope:** 192 N
- **Angle of the rope:** 41° above the horizontal
- **Distance moved:** 8.1 m

To solve this, you would use the formula for work done \( W \) by a force applied at an angle:

\[ W = F \cdot d \cdot \cos(\theta) \]

Where:
- \( F \) is the force applied (192 N)
- \( d \) is the distance the object is moved (8.1 m)
- \( \theta \) is the angle of the force from the horizontal (41°)

The answer should be expressed in joules (J) with two significant figures.
Transcribed Image Text:**Question 15** A 57-kg packing crate is pulled with constant speed across a rough floor with a rope that is at an angle of 41° above the horizontal. **Part A** If the tension in the rope is 192 N, how much work is done on the crate by the rope to move it 8.1 m? Express your answer using two significant figures. \( W = \) [Answer Box: _______ J ] [Submit Button] [Request Answer] --- **Explanation** This problem involves calculating the work done on a crate being pulled at an angle. The key factors are: - **Mass of the crate:** 57 kg - **Tension in the rope:** 192 N - **Angle of the rope:** 41° above the horizontal - **Distance moved:** 8.1 m To solve this, you would use the formula for work done \( W \) by a force applied at an angle: \[ W = F \cdot d \cdot \cos(\theta) \] Where: - \( F \) is the force applied (192 N) - \( d \) is the distance the object is moved (8.1 m) - \( \theta \) is the angle of the force from the horizontal (41°) The answer should be expressed in joules (J) with two significant figures.
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