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(a) Calculate the force (in N) the woman in the figure below exerts to do a push-up at constant speed, taking all data to be known to three digits. (You may need to use torque methods from a later chapter.) m = 53 kg CG w Fre Treaction 0.88 m 1.47 m 155.47 X N

(a) Calculate the force (in N) the woman in the figure below exerts to do a push-up at constant speed, taking all data to be known to three digits. (You may need to use torque methods from a later chapter.) m = 53 kg CG w Fre Treaction 0.88 m 1.47 m 155.47 X N

College Physics
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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### Physics Problem: Calculating Force, Work, and Power in Push-Ups #### Problem Statement The following problems analyze the physics of a woman performing a push-up, determining the force exerted, the work done, and the power output. 1. **Calculate the Force** - **Problem**: Calculate the force (in Newtons) the woman in the figure below exerts to do a push-up at constant speed, taking all data to be known to three digits. (You may need to use torque methods from a later chapter). ![Figure Explanation](#) *In the diagram, a woman is shown in a push-up position with the following data:* - Mass (m) = 53 kg - The distance from her feet to her center of gravity (CG) is 0.88 m. - The distance from her hands to her center of gravity (CG) is 1.47 m. - The forces include her weight (W) acting downward at her center of gravity (CG) and her reaction force (F_reaction) at her hands. - **Answer**: **155.47 N** (incorrect) 2. **Calculate the Work Done** - **Problem**: How much work (in Joules) does she do if her center of mass rises 0.280 m? - **Answer**: **145.432 J** 3. **Calculate the Power Output** - **Problem**: What is her useful power output (in Watts) if she does 21 push-ups in 1 minute? (Should work done lowering her body be included? See the discussion of useful work in Work, Energy, and Power in Humans.) - **Answer**: **50.9 W** #### Detailed Solutions 1. **Force Calculation Details** - To find the force, you would typically sum the torques around a pivot point. Assuming static equilibrium, the torque due to the reaction force at her hands should balance the torque due to her weight (mass times gravity) acting at her center of gravity. - Use the torque equation relative to one of the points (either hands or feet). 2. **Work Done Calculation** - Work (W) = Force (F) × Distance (d) - In this context, the force is her weight (mass times gravity) and the distance is the vertical displacement of her center of
Transcribed Image Text:### Physics Problem: Calculating Force, Work, and Power in Push-Ups #### Problem Statement The following problems analyze the physics of a woman performing a push-up, determining the force exerted, the work done, and the power output. 1. **Calculate the Force** - **Problem**: Calculate the force (in Newtons) the woman in the figure below exerts to do a push-up at constant speed, taking all data to be known to three digits. (You may need to use torque methods from a later chapter). ![Figure Explanation](#) *In the diagram, a woman is shown in a push-up position with the following data:* - Mass (m) = 53 kg - The distance from her feet to her center of gravity (CG) is 0.88 m. - The distance from her hands to her center of gravity (CG) is 1.47 m. - The forces include her weight (W) acting downward at her center of gravity (CG) and her reaction force (F_reaction) at her hands. - **Answer**: **155.47 N** (incorrect) 2. **Calculate the Work Done** - **Problem**: How much work (in Joules) does she do if her center of mass rises 0.280 m? - **Answer**: **145.432 J** 3. **Calculate the Power Output** - **Problem**: What is her useful power output (in Watts) if she does 21 push-ups in 1 minute? (Should work done lowering her body be included? See the discussion of useful work in Work, Energy, and Power in Humans.) - **Answer**: **50.9 W** #### Detailed Solutions 1. **Force Calculation Details** - To find the force, you would typically sum the torques around a pivot point. Assuming static equilibrium, the torque due to the reaction force at her hands should balance the torque due to her weight (mass times gravity) acting at her center of gravity. - Use the torque equation relative to one of the points (either hands or feet). 2. **Work Done Calculation** - Work (W) = Force (F) × Distance (d) - In this context, the force is her weight (mass times gravity) and the distance is the vertical displacement of her center of
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