A hanging weight, with a mass of m1 = 0.375 kg, is attached by a cord to a block with mass m2 = 0.865 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is μk = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the cord does not stretch and does not slip on the pulley, and that the mass of the cord is negligible.a) Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown.b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? The image illustrates a mechanical setup involving a pulley system. Here's a detailed description:### Components of the System:1. **Mass $ m_1 $**: - This is a weight suspended in the air, directed downward due to gravity.2. **Mass $ m_2 $**: - Represented as a block resting on a horizontal surface, it experiences a force pulling it horizontally to the right.3. **Pulley**: - The system includes a pulley fixed at the edge of the horizontal surface. - There are two radii labeled on the pulley, $ R_1 $ and $ R_2 $. - The pulley changes the direction of the tension force exerted by the rope.4. **Rope**: - The rope connects mass $ m_1 $ to mass $ m_2 $ over the pulley. - The tension in the rope is assumed to be consistent throughout, affecting both masses.### Forces & Directions:- The weight $ m_1 $ experiences gravitational force pulling it downward.- The block $ m_2 $ is subjected to a horizontal force to the right.- The tension in the rope results in a force on $ m_2 $ directed to the right and counteracts the downward force on $ m_1 $.### Educational Context:In physics education, this setup demonstrates principles of dynamics, friction (if applicable), tension, and the conservation of energy. Analyzing this type of system helps students understand how different forces interact in a mechanical system.

Answered: Image /qna-images/answer/4fe2bd99-af30-4289-a6d0-736f31865c36.jpg

Answered: A hanging weight, with a mass of m1 =…

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)...