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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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**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.
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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