A10-kg object is hanging by a very light wire in an elevator that is traveling upward. The tension in the rope is measured to be 75 N. What are the magnitude and direction of the acceleration of the elevator? (a) a = (b) direction: m/s² (upward, downward, to the left, or to the right?)

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Chapter1: Units, Trigonometry. And Vectors
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### Problem Description

A 10-kg object is hanging by a very light wire in an elevator that is traveling upward. The tension in the rope is measured to be 75 N. What are the magnitude and direction of the acceleration of the elevator?

#### (a) a = ______ m/s²

#### (b) direction: ______ (upward, downward, to the left, or to the right?)

---

### Explanation and Diagram Details

This problem involves calculating the acceleration of an elevator based on the tension in a rope and the mass of an object. To solve it, you can use Newton's second law of motion, which states that \( F = ma \), where \( F \) is the net force on an object, \( m \) is the mass, and \( a \) is the acceleration.

**Diagram:**

Since the image contains only text with blank fields for the answers, there is no need for additional diagrams or explanations beyond what is provided. The given parameters (mass of the object, tension in the rope) will be used to determine the acceleration and its direction.
Transcribed Image Text:### Problem Description A 10-kg object is hanging by a very light wire in an elevator that is traveling upward. The tension in the rope is measured to be 75 N. What are the magnitude and direction of the acceleration of the elevator? #### (a) a = ______ m/s² #### (b) direction: ______ (upward, downward, to the left, or to the right?) --- ### Explanation and Diagram Details This problem involves calculating the acceleration of an elevator based on the tension in a rope and the mass of an object. To solve it, you can use Newton's second law of motion, which states that \( F = ma \), where \( F \) is the net force on an object, \( m \) is the mass, and \( a \) is the acceleration. **Diagram:** Since the image contains only text with blank fields for the answers, there is no need for additional diagrams or explanations beyond what is provided. The given parameters (mass of the object, tension in the rope) will be used to determine the acceleration and its direction.
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