Questions 1, 2, and 3 below refer to a person pulling a box mass m along a frictionless horizontal surface by exerting a force at an angle 0 above the horizontal (as shown to the right) where F has a position-dependent magnitude described by the equation F(x) = ax-2 (a is a constant). m F A ....

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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**Problem Statement:**

If \( a = 5 \, \text{N} \cdot \text{m}^2 \), \( \theta = 53.1^\circ \), and it takes the person 3 seconds to pull the box from \( x = 1 \, \text{m} \) to \( x = 2 \, \text{m} \), what is the average power (in Watts) that they exerted?

There are no graphs or diagrams in the image.
Transcribed Image Text:**Problem Statement:** If \( a = 5 \, \text{N} \cdot \text{m}^2 \), \( \theta = 53.1^\circ \), and it takes the person 3 seconds to pull the box from \( x = 1 \, \text{m} \) to \( x = 2 \, \text{m} \), what is the average power (in Watts) that they exerted? There are no graphs or diagrams in the image.
### Description of the Problem

Questions 1, 2, and 3 below refer to a person pulling a box of mass \( m \) along a frictionless horizontal surface by exerting a force \( \vec{F} \) at an angle \( \theta \) above the horizontal (as shown to the right), where \( \vec{F} \) has a position-dependent magnitude described by the equation \( F(x) = ax^{-2} \) (where \( a \) is a constant).

### Diagram Explanation

The diagram illustrates a person pulling a box:

- The box is labeled with a mass \( m \).
- A force \( F \) is applied at an angle \( \theta \) above the horizontal direction.
- The force \( F \) originates from the person shown and points diagonally upwards towards the box.
Transcribed Image Text:### Description of the Problem Questions 1, 2, and 3 below refer to a person pulling a box of mass \( m \) along a frictionless horizontal surface by exerting a force \( \vec{F} \) at an angle \( \theta \) above the horizontal (as shown to the right), where \( \vec{F} \) has a position-dependent magnitude described by the equation \( F(x) = ax^{-2} \) (where \( a \) is a constant). ### Diagram Explanation The diagram illustrates a person pulling a box: - The box is labeled with a mass \( m \). - A force \( F \) is applied at an angle \( \theta \) above the horizontal direction. - The force \( F \) originates from the person shown and points diagonally upwards towards the box.
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