Box attached to end of a string, what is the max velocity?

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SUMMARY

The maximum velocity of a 0.60 kg mass attached to a 1.7 m string, which will break if the tension exceeds 60 N, can be determined using centripetal force equations. The correct maximum speed before the string breaks is 7.8 m/s. This conclusion is reached by applying Newton's second law and analyzing the forces acting on the mass in circular motion.

PREREQUISITES
  • Understanding of Newton's second law
  • Knowledge of centripetal force concepts
  • Ability to draw and interpret free body diagrams
  • Familiarity with basic physics equations related to circular motion
NEXT STEPS
  • Study the derivation of centripetal force equations
  • Learn how to calculate tension in strings during circular motion
  • Explore the implications of frictionless surfaces in physics problems
  • Practice solving similar problems involving circular motion and tension limits
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of circular motion and tension in strings.

DeathEater
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Homework Statement


a 0.60 kg mass is attached to one end of a 1.7 m string. The string will break if its tension exceeds 60 N. The mass is whirled in a horizontal circle on a frictionless tabletop, such that the other end of the string remains fixed at the axis of rotation. What is the maximum speed of the mass before the string breaks? you may treat the mass as a point mass, assume that the string is ideal, and neglect friction.

A.) 4.6 m/s
B.) 7.8 m/s
C.) 13 m/s
D.) 21 m/s
E.) 170 m/s

Homework Equations


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The Attempt at a Solution


[/B]I don't know where to begin
 
Physics news on Phys.org
Are you familiar with Newton second laws?
What about centripetal force?
Can you draw a free body diagram of the mass?
If the answer to any of these is no, refer to your textbook or google then ask specific question on anything you don't understand.
 

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