16) A force F of strength 20N acts on an object of mass 3 kg as it moves a Distance of 4 meters. If F is perpendicular to the 4m displacement, the work the force does is; a) 0 b) 80 c) -80 d) can't be determined
16) A force F of strength 20N acts on an object of mass 3 kg as it moves a Distance of 4 meters. If F is perpendicular to the 4m displacement, the work the force does is; a) 0 b) 80 c) -80 d) can't be determined
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: Work and Force**
A force \( F \) of strength 20 N acts on an object of mass 3 kg as it moves a distance of 4 meters. If \( F \) is perpendicular to the 4 m displacement, the work the force does is:
a) 0
b) 80
c) -80
d) can't be determined
**Explanation:**
- **Force:** The force applied has a magnitude of 20 Newtons.
- **Mass:** The mass of the object is 3 kilograms, though this is not necessary to calculate work in this scenario.
- **Distance:** The object moves a distance of 4 meters.
- **Direction:** The force is perpendicular to the displacement.
In physics, the work \( W \) done by a force is calculated as:
\[ W = F \cdot d \cdot \cos(\theta) \]
Where:
- \( F \) is the force magnitude,
- \( d \) is the displacement,
- \( \theta \) is the angle between the force and displacement vectors.
Since the force is perpendicular to the displacement (\(\theta = 90^\circ\)), we have \(\cos(90^\circ) = 0\). Therefore, the work done is:
\[ W = 20 \cdot 4 \cdot 0 = 0 \]
Thus, the correct answer is **a) 0**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad73da9a-e618-42ab-aac6-b042492f4e56%2Febf1ffef-0b18-404b-b4ea-2c86d3f5fdd2%2Ff081i4k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Physics Problem: Work and Force**
A force \( F \) of strength 20 N acts on an object of mass 3 kg as it moves a distance of 4 meters. If \( F \) is perpendicular to the 4 m displacement, the work the force does is:
a) 0
b) 80
c) -80
d) can't be determined
**Explanation:**
- **Force:** The force applied has a magnitude of 20 Newtons.
- **Mass:** The mass of the object is 3 kilograms, though this is not necessary to calculate work in this scenario.
- **Distance:** The object moves a distance of 4 meters.
- **Direction:** The force is perpendicular to the displacement.
In physics, the work \( W \) done by a force is calculated as:
\[ W = F \cdot d \cdot \cos(\theta) \]
Where:
- \( F \) is the force magnitude,
- \( d \) is the displacement,
- \( \theta \) is the angle between the force and displacement vectors.
Since the force is perpendicular to the displacement (\(\theta = 90^\circ\)), we have \(\cos(90^\circ) = 0\). Therefore, the work done is:
\[ W = 20 \cdot 4 \cdot 0 = 0 \]
Thus, the correct answer is **a) 0**.
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