Three children are trying to balance on a seesaw. The seesaw is 4.1 m long and pivots about a rock at its center. Louie and Laura are already sitting on opposite ends. If Martha weighs 33 kg, where should she sit so as to balance the seesaw? The image illustrates a seesaw balanced on a fulcrum (represented by a rock) with two children sitting on opposite ends. - The child on the left, labeled as "A," has a mass of 50 kg.- The child on the right, labeled as "B," has a mass of 35 kg.- The distance from the fulcrum to each child is marked with a variable, "x," though specific measurements are not provided.This diagram is an example of a lever in equilibrium, demonstrating the principle of moments (torque). In order for the seesaw to balance, the moments around the fulcrum must be equal, which can be expressed by the equation:\[ m_1 \times d_1 = m_2 \times d_2 \]Where:- $ m_1 $ and $ m_2 $ are the masses of the children,- $ d_1 $ and $ d_2 $ are the distances from the fulcrum to each child.A third person stands nearby, observing the setup. This setup is commonly used in physics education to explain the concepts of balance, torque, and leverage.

Answered: Three children are trying to balance on…

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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Three children are trying to balance on a seesaw. The seesaw is 4.1 m long and pivots about a rock at its center. Louie and Laura are already sitting on opposite ends. If Martha weighs 33 kg, where should she sit so as to balance the seesaw?

The image illustrates a seesaw balanced on a fulcrum (represented by a rock) with two children sitting on opposite ends.

- The child on the left, labeled as "A," has a mass of 50 kg.
- The child on the right, labeled as "B," has a mass of 35 kg.
- The distance from the fulcrum to each child is marked with a variable, "x," though specific measurements are not provided.

This diagram is an example of a lever in equilibrium, demonstrating the principle of moments (torque). In order for the seesaw to balance, the moments around the fulcrum must be equal, which can be expressed by the equation:

\[ m_1 \times d_1 = m_2 \times d_2 \]

Where:
- $ m_1 $ and $ m_2 $ are the masses of the children,
- $ d_1 $ and $ d_2 $ are the distances from the fulcrum to each child.

A third person stands nearby, observing the setup. This setup is commonly used in physics education to explain the concepts of balance, torque, and leverage.

Expert Solution

Step 1

From figure Louie sit on left and Laura sit on right,Since the weight of Louie is 50 kg, and Laura is 35 kg, Martha should sit on right.

In order to balance the see saw the torque on left should be equal to torque on right,

$m_{L o u i e} r_{⊥} = m_{m a r t h a} x + m_{L a u r a} r_{⊥} (I)$

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