2) A strap inclined upward at 45° angle Before: After: Known To 20 N 6 = 45° d-100 m pulls a suitcase through the airport. The tension in the strap is 20N. How much work does the tension do if the suitcase is pulled 100m at a constant speed? Find
2) A strap inclined upward at 45° angle Before: After: Known To 20 N 6 = 45° d-100 m pulls a suitcase through the airport. The tension in the strap is 20N. How much work does the tension do if the suitcase is pulled 100m at a constant speed? Find
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Question
![**Work Done by Tension on a Suitcase**
**Problem Statement:**
A strap inclined upward at a \(45^\circ\) angle pulls a suitcase through the airport. The tension in the strap is 20 N. How much work does the tension do if the suitcase is pulled 100 m at a constant speed?
**Diagram Explanation:**
The diagram consists of two illustrations showing a suitcase being pulled at two different points denoted as "Before" and "After." Both illustrations show:
- A suitcase represented as a rectangular box.
- A strap attached to the suitcase, inclined at an angle \(\theta = 45^\circ\).
- An arrow representing the tension \(\vec{T}\) in the strap, directed along the strap.
Between the two illustrations:
- A horizontal axis labeled \(x\) with an arrow indicating the direction of movement from left to right.
- The distance traveled is marked as \(d\).
**Given Data:**
- Tension, \(T = 20 \, \text{N}\)
- Angle, \(\theta = 45^\circ\)
- Distance, \(d = 100 \, \text{m}\)
**Find:**
- Work, \(W\)
By using the work formula:
\[ W = F \cdot d \cdot \cos(\theta) \]
where \(F\) is the force (tension \(|\vec{T}|\)), \(d\) the distance, and \(\theta\) the angle of force direction relative to the direction of movement.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F659ca555-9d28-4154-b7a3-72a82930f29f%2Ffc9e1c52-9083-4ed7-820b-e89064c03a7a%2F2ivimp_processed.png&w=3840&q=75)
Transcribed Image Text:**Work Done by Tension on a Suitcase**
**Problem Statement:**
A strap inclined upward at a \(45^\circ\) angle pulls a suitcase through the airport. The tension in the strap is 20 N. How much work does the tension do if the suitcase is pulled 100 m at a constant speed?
**Diagram Explanation:**
The diagram consists of two illustrations showing a suitcase being pulled at two different points denoted as "Before" and "After." Both illustrations show:
- A suitcase represented as a rectangular box.
- A strap attached to the suitcase, inclined at an angle \(\theta = 45^\circ\).
- An arrow representing the tension \(\vec{T}\) in the strap, directed along the strap.
Between the two illustrations:
- A horizontal axis labeled \(x\) with an arrow indicating the direction of movement from left to right.
- The distance traveled is marked as \(d\).
**Given Data:**
- Tension, \(T = 20 \, \text{N}\)
- Angle, \(\theta = 45^\circ\)
- Distance, \(d = 100 \, \text{m}\)
**Find:**
- Work, \(W\)
By using the work formula:
\[ W = F \cdot d \cdot \cos(\theta) \]
where \(F\) is the force (tension \(|\vec{T}|\)), \(d\) the distance, and \(\theta\) the angle of force direction relative to the direction of movement.
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