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# A small block with mass 0.250 kg is attached to a string ## Problem 96P Chapter 10

University Physics | 13th Edition

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Problem 96P

A small block with mass 0.250 kg is attached to a string passing through a hole in a frictionless, horizontal surface (see Fig). 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. What is the radius of the circle when the string breaks? Figure:

Step-by-Step Solution:

Solution 96P Step 1: Given data: Mass of block m = 0.250 kg Radius of circle r = 0.800 m Tangential speed v = 4.00 m/s The breaking strength of the string T = 30.0 N Step 2: Tension T of the string is radial so that it gives no torque on the block.angular momentum is therefore conserved 2 2 T = m(v /r) = m/r(L/mr) 2 3 T = L /mr L = mvr = 0.250 kg × 4.00 m/s × 0.800 m) = 0.800

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##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 96P from chapter: 10 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: string, radius, Block, circle, hole. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 96P from 10 chapter was answered, more than 315 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “A small block with mass 0.250 kg is attached to a string passing through a hole in a frictionless, horizontal surface (see Fig). 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. What is the radius of the circle when the string breaks? Figure:” is broken down into a number of easy to follow steps, and 87 words.

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