**Physics Problem: Circular Motion and Tension**A 0.50-kg toy is attached to the end of a 1.0-m very light string. The toy is whirled in a horizontal circular path on a frictionless tabletop. If the maximum speed the mass can have without breaking the string is 30 m/s, what is the maximum tension that the string can withstand without breaking?- 450 N- 400 N- 350 N- 300 N**Explanation:**To solve this problem, we need to calculate the maximum tension in the string, which acts as the centripetal force required to keep the toy moving in a circle. The formula for centripetal force is:\[ F = \frac{mv^2}{r} \]Where:- \( F \) is the centripetal force (tension in this context),- \( m \) is the mass of the toy (0.50 kg),- \( v \) is the velocity (30 m/s),- \( r \) is the radius of the circle (1.0 m).Substitute the known values:\[ F = \frac{0.50 \times (30)^2}{1.0} \]Calculate:\[ F = \frac{0.50 \times 900}{1.0} \]\[ F = 450 \, \text{N} \]Thus, the correct answer is **450 N**. The maximum tension that the string can withstand without breaking is 450 N.

mass = 0.5 kg L = 1 m maximum speed = 30 m/s centripetal force = m (v)2/L = 0.5 * (30)2/ 1 = 0.5 *…

A 0.50-kg toy is attached to the end of a 1.0-m very light string. The toy is whirled in a horizontal circular path on a frictionless tabletop. If the maximum speed the mass can have without breaking the string is 30 m/s. What is the maximum tension that the string can withstand without breaking? 450 N 400 N 350 N 300 N O O O O

A 0.50-kg toy is attached to the end of a 1.0-m very light string. The toy is whirled in a horizontal circular path on a frictionless tabletop. If the maximum speed the mass can have without breaking the string is 30 m/s. What is the maximum tension that the string can withstand without breaking? 450 N 400 N 350 N 300 N O O O O

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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