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A small block with mass 0.290 kg is attached to a string passing through a hole in a frictionless, horizontal surface (Figure 1). The block is originally revolving in a circle with a radius of 0.800 m about the hole with a tangential speed of 4.00 m/s. The string is then pulled slowly from below, shortening the radius of the circle in which the block revolves. The breaking strength of the string is 30.0 N. Part A What is the radius of the circle when the string breaks? Express your answer with the appropriate units. T = ΜΑ Value Units ?

A small block with mass 0.290 kg is attached to a string passing through a hole in a frictionless, horizontal surface (Figure 1). The block is originally revolving in a circle with a radius of 0.800 m about the hole with a tangential speed of 4.00 m/s. The string is then pulled slowly from below, shortening the radius of the circle in which the block revolves. The breaking strength of the string is 30.0 N. Part A What is the radius of the circle when the string breaks? Express your answer with the appropriate units. T = ΜΑ Value Units ?

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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### Problem Description: A small block with a mass of 0.290 kg is attached to a string passing through a hole in a frictionless, horizontal surface. The block is originally revolving in a circle with a radius of 0.800 m about the hole with a tangential speed of 4.00 m/s. The string is then pulled slowly from below, shortening the radius of the circle in which the block revolves. The breaking strength of the string is 30.0 N. #### Question (Part A): What is the radius of the circle when the string breaks? **Express your answer with the appropriate units.** ### Explanation: - **Figure 1** (not displayed) likely illustrates the setup: a block on a string revolving around a hole in the horizontal plane, from which the string is being pulled downward. - The tension in the string increases as the radius decreases due to the conservation of angular momentum. The problem requires finding the radius at which the tension surpasses the breaking strength of 30.0 N.
Transcribed Image Text:### Problem Description: A small block with a mass of 0.290 kg is attached to a string passing through a hole in a frictionless, horizontal surface. The block is originally revolving in a circle with a radius of 0.800 m about the hole with a tangential speed of 4.00 m/s. The string is then pulled slowly from below, shortening the radius of the circle in which the block revolves. The breaking strength of the string is 30.0 N. #### Question (Part A): What is the radius of the circle when the string breaks? **Express your answer with the appropriate units.** ### Explanation: - **Figure 1** (not displayed) likely illustrates the setup: a block on a string revolving around a hole in the horizontal plane, from which the string is being pulled downward. - The tension in the string increases as the radius decreases due to the conservation of angular momentum. The problem requires finding the radius at which the tension surpasses the breaking strength of 30.0 N.
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