Consider the forces involved in doing push-ups. The woman’s weight acts as a force exerted downward on her center of gravity (marked CG in the figure). You may assume that the angle between her body and the floor is small enough so that the small angle approximation is valid throughout this motion. Calculate the force, in newtons, the woman in the figure exerts to do a pushup at constant speed.  How much work, in joules, does she do if her center of mass rises 0.23 m?  What is her useful power output, in watts, if she does 29 push-ups in 1 min? Ignore any work done during the downward motion

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Consider the forces involved in doing push-ups. The woman’s weight acts as a force exerted downward on her center of gravity (marked CG in the figure). You may assume that the angle between her body and the floor is small enough so that the small angle approximation is valid throughout this motion.

Calculate the force, in newtons, the woman in the figure exerts to do a pushup at constant speed. 

How much work, in joules, does she do if her center of mass rises 0.23 m? 

What is her useful power output, in watts, if she does 29 push-ups in 1 min? Ignore any work done during the downward motion. 


The image illustrates a person in a plank position, used to demonstrate concepts of physics related to equilibrium and forces.

### Description:

- **Mass (m):** 50 kg
- **Center of Gravity (CG):** Marked and positioned closer to the feet along the body.
- **Weight (w):** Represented by a downward arrow from the CG.
- **Lengths:**
  - Distance from feet to CG: 0.90 m
  - Distance from CG to hands: 1.50 m

### Forces:

- **Weight (w):** Acts downward at the CG.
- **Reaction Force (Fₓ):** Acts upward where the hands touch the ground, opposing the weight.

### Concept:

This setup helps in understanding how the body's mass and weight are distributed and how the reaction force balances the body in equilibrium. Static equilibrium is maintained when the sum of all forces and torques is zero, showcasing how the body remains stable in this position.
Transcribed Image Text:The image illustrates a person in a plank position, used to demonstrate concepts of physics related to equilibrium and forces. ### Description: - **Mass (m):** 50 kg - **Center of Gravity (CG):** Marked and positioned closer to the feet along the body. - **Weight (w):** Represented by a downward arrow from the CG. - **Lengths:** - Distance from feet to CG: 0.90 m - Distance from CG to hands: 1.50 m ### Forces: - **Weight (w):** Acts downward at the CG. - **Reaction Force (Fₓ):** Acts upward where the hands touch the ground, opposing the weight. ### Concept: This setup helps in understanding how the body's mass and weight are distributed and how the reaction force balances the body in equilibrium. Static equilibrium is maintained when the sum of all forces and torques is zero, showcasing how the body remains stable in this position.
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