**Transcription and Explanation for Educational Website**---### Problem Description1. During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the legs. If the upward force on the lower performer is three times their weight, how much do the bones (the femurs) in their upper legs stretch? You may assume each is equivalent to a uniform rod 35.0 cm long and 1.80 cm in radius. Her mass is 59.0 kg. The Young's modulus for bones is 1.6 x 10¹⁰ N/m².### ImageThe image depicts a trapeze act where one performer is hanging upside down from a trapeze and holding another performer by the legs.### Think & Prepare1. **Assumption:** For this problem, assume that the leg bones are uniform rods.2. **Stress Type:** What kind of stress do the legs of the trapeze artist experience? Consider tensile, compressive, or shear stress. How will you find the cross-sectional area of the bone?3. **Elastic Modulus:** What type of elastic modulus is appropriate for this problem?4. **Force on Each Leg:** If the total upward force on the artist is given, what is the force on each leg?**Enter to 3 significant figures**Amount by which the femurs stretch = 0.381 cm### Reflect**Question:** Is this stretch large or small? Compare it to the length of the leg.---This description and explanation are designed to guide students through the physics and calculations involved in understanding how the femurs stretch under force during a trapeze act.

Answered: Image /qna-images/answer/d450d791-1629-4992-90c1-227339aff587.jpg

During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the legs. If the upward force on the lower performer is three times their weight, how much do the bones (the femurs) in their upper legs stretch? You may assume each is equivalent to a uniform rod 35.0 cm long and 1.80 cm in radius. Her mass is 59.0 kg. The Young's modulus for bones is 1.6 x 1010 N/m². Think & Prepare 1. For this problem, assume that the leg bones are uniform rods. 2. What kind of stress does the legs of the trapeze artist experience? Tensile, compressive or shear stress? How will you fund the cross-sectional area of the bone? 3. What type of elastic modulus is appropriate for this problem? 4. If the total upward force on the artist is given, what is the force on each leg? Enter to 3 significant figures Amount by which the femurs stretch = 0.381 × cm Reflect: Is this stretch large or small? Compare it to the length of the leg.

During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the legs. If the upward force on the lower performer is three times their weight, how much do the bones (the femurs) in their upper legs stretch? You may assume each is equivalent to a uniform rod 35.0 cm long and 1.80 cm in radius. Her mass is 59.0 kg. The Young's modulus for bones is 1.6 x 1010 N/m². Think & Prepare 1. For this problem, assume that the leg bones are uniform rods. 2. What kind of stress does the legs of the trapeze artist experience? Tensile, compressive or shear stress? How will you fund the cross-sectional area of the bone? 3. What type of elastic modulus is appropriate for this problem? 4. If the total upward force on the artist is given, what is the force on each leg? Enter to 3 significant figures Amount by which the femurs stretch = 0.381 × cm Reflect: Is this stretch large or small? Compare it to the length of the leg.

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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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

**Transcription and Explanation for Educational Website**

---

### Problem Description

1. During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the legs. If the upward force on the lower performer is three times their weight, how much do the bones (the femurs) in their upper legs stretch? You may assume each is equivalent to a uniform rod 35.0 cm long and 1.80 cm in radius. Her mass is 59.0 kg. The Young's modulus for bones is 1.6 x 10¹⁰ N/m².

### Image

The image depicts a trapeze act where one performer is hanging upside down from a trapeze and holding another performer by the legs.

### Think & Prepare

1. **Assumption:** For this problem, assume that the leg bones are uniform rods.

2. **Stress Type:** What kind of stress do the legs of the trapeze artist experience? Consider tensile, compressive, or shear stress. How will you find the cross-sectional area of the bone?

3. **Elastic Modulus:** What type of elastic modulus is appropriate for this problem?

4. **Force on Each Leg:** If the total upward force on the artist is given, what is the force on each leg?

**Enter to 3 significant figures**

Amount by which the femurs stretch = 0.381 cm

### Reflect

**Question:** Is this stretch large or small? Compare it to the length of the leg.

---

This description and explanation are designed to guide students through the physics and calculations involved in understanding how the femurs stretch under force during a trapeze act.

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