### Problem Analysis Based on Provided DiagramConsider the following figure:![Woman Doing Push-up](https://example.com/image.jpg)In this figure:- \( m \) = 50.0 kg (mass of the woman)- \( R_1 \) = 0.90 m (distance from feet to center of gravity)- \( R_2 \) = 1.50 m (distance from feet to hands)- Forces in consideration: \( F_f \) at feet, \( F_h \) at hands- Elbow joint distance and muscle forces related to exercise: - Effective lever arm of triceps muscle: 3.00 cm - Horizontal distance from elbow joint: 19.2 cm**Questions:**1. **Calculating Force Exerted by Hands during Push-up** - What force in newtons should the woman in the figure exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed.2. **Force Calculation for Triceps Muscle** - The triceps muscle at the back of her upper arm has an effective lever arm of \( 3.00 \) cm, and she exerts force on the floor at a horizontal distance of \( 19.2 \) cm from the elbow joint. - Calculate the magnitude of the force in newtons in each triceps muscle.3. **Comparison of Total Triceps Muscle Force with Body Weight** - Total force exerted by both triceps muscles. - Compare the magnitude of the total force exerted by both triceps muscles to her weight.4. **Work Done Analysis** - How much work does she do in joules if her center of mass rises \( 0.250 \) m?5. **Self-Power Output Calculation** - What is her useful power output in watts if she does 25 push-ups in one minute?**Procedure and Explanations:**(a) **Force Exerted by Hands During Push-Up**To calculate the force exerted by hands ( \( F_h \) ), we consider the torque balance about the feet:\[ F_h \times R_2 - F_f \times R_1 = 0 \]Given \( F_f = mg \) (Weight of the woman):\[ F_h = \frac{m \times g \times R_1}{R_

Answered: Image /qna-images/answer/53cf9ca0-ab45-4935-baf6-7a50ca989b6d.jpg

Consider the following figure m50.0 kg 0.90 m 1.50 m (a) what force in newtons should the woman in the figure esert on the foor with each hand to do a pustrup Assume that she moves up at a constant speed. (b) The triceps muscle at the back of her upper arm has an effective lever arm of 1.0 om, and she eerts force on the floor at a horizontal distance of 19.2 om from the elbow joint. Calculate the magnitude of the force in nentans in each triceps muscle. Compare the magnitude of the total force enerted by both triceps muscles to her weight. total force eerted by beth triceps muses ghe () How much work does she do in joules if her center of mass rises 0.250 m? (4) what is her useful power output in matts if she does 22 pushrups in one minute

Consider the following figure m50.0 kg 0.90 m 1.50 m (a) what force in newtons should the woman in the figure esert on the foor with each hand to do a pustrup Assume that she moves up at a constant speed. (b) The triceps muscle at the back of her upper arm has an effective lever arm of 1.0 om, and she eerts force on the floor at a horizontal distance of 19.2 om from the elbow joint. Calculate the magnitude of the force in nentans in each triceps muscle. Compare the magnitude of the total force enerted by both triceps muscles to her weight. total force eerted by beth triceps muses ghe () How much work does she do in joules if her center of mass rises 0.250 m? (4) what is her useful power output in matts if she does 22 pushrups in one minute

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

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

### Problem Analysis Based on Provided Diagram

Consider the following figure:

![Woman Doing Push-up](https://example.com/image.jpg)

In this figure:
- \( m \) = 50.0 kg (mass of the woman)
- \( R_1 \) = 0.90 m (distance from feet to center of gravity)
- \( R_2 \) = 1.50 m (distance from feet to hands)
- Forces in consideration: \( F_f \) at feet, \( F_h \) at hands
- Elbow joint distance and muscle forces related to exercise:
- Effective lever arm of triceps muscle: 3.00 cm
- Horizontal distance from elbow joint: 19.2 cm

**Questions:**
1. **Calculating Force Exerted by Hands during Push-up**
- What force in newtons should the woman in the figure exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed.

2. **Force Calculation for Triceps Muscle**
- The triceps muscle at the back of her upper arm has an effective lever arm of \( 3.00 \) cm, and she exerts force on the floor at a horizontal distance of \( 19.2 \) cm from the elbow joint.
- Calculate the magnitude of the force in newtons in each triceps muscle.

3. **Comparison of Total Triceps Muscle Force with Body Weight**
- Total force exerted by both triceps muscles.
- Compare the magnitude of the total force exerted by both triceps muscles to her weight.

4. **Work Done Analysis**
- How much work does she do in joules if her center of mass rises \( 0.250 \) m?

5. **Self-Power Output Calculation**
- What is her useful power output in watts if she does 25 push-ups in one minute?

**Procedure and Explanations:**

(a) **Force Exerted by Hands During Push-Up**

To calculate the force exerted by hands ( \( F_h \) ), we consider the torque balance about the feet:
\[
F_h \times R_2 - F_f \times R_1 = 0
\]
Given \( F_f = mg \) (Weight of the woman):
\[
F_h = \frac{m \times g \times R_1}{R_

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