**Understanding Work, Power, and Force Using a Rowing Machine***Problem Statement:*You are working out on a rowing machine. Each time you pull the rowing bar (which simulates the oars) towards you, it moves a distance of 1.30 m in a time of 1.50 s. The readout on the display indicates that the average power you are producing is 97.0 W. What is the magnitude of the force that you exert on the handle?*Diagram Explanation:*The image shows a person working out on a rowing machine. The individual pulls the handle towards their body, moving a certain distance while applying force. Key elements:- Person seated on the rowing machine.- Rowing bar/handle being pulled towards the person.- Illustration of the distance and direction (represented by an arrow).- It highlights the distance moved by the handle and includes the time taken for this movement.*Solution:*To find the magnitude of the force exerted on the handle, we will utilize the formulas for work, power, and force.1. **Power (P)** is defined as the rate at which work is done: \[ P = \frac{W}{t} \] Where: - \(P\) = Power (97.0 W) - \(W\) = Work done - \(t\) = Time (1.50 s)2. **Work (W)** is the product of force (F) and distance (d): \[ W = F \times d \]3. Rearrange the power formula to solve for work: \[ W = P \times t \] Substituting the given values: \[ W = 97.0 \, \text{W} \times 1.50 \, \text{s} \] \[ W = 145.5 \, \text{J} \]4. Substitute \( W \) back into the work formula to solve for force: \[ F = \frac{W}{d} \] Given that \( d \) = 1.30 m: \[ F = \frac{145.5 \, \text{J}}{1.30 \, \text{m}} \] \[ F ≈ 111.92 \, \text{N} \]Therefore,

Displacement (d) = 1.30 mTime (t) = 1.50 sPower (P) = 97.0 WRequired:Force (F)

You are working out on a rowing machine. Each time you pull the rowing bar (which simulates the oars) toward you, it moves a distance of 1.30 m in a time of 1.50 s. The readout on the display indicates that the average power you are producing is 97.0 W. What is the magnitude of the force that you exert on the handle?

You are working out on a rowing machine. Each time you pull the rowing bar (which simulates the oars) toward you, it moves a distance of 1.30 m in a time of 1.50 s. The readout on the display indicates that the average power you are producing is 97.0 W. What is the magnitude of the force that you exert on the handle?

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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