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 tension that the string can withstand
Without breaking is 350 N. What is the maximum speed the mass can have without breaking the
String?

Question

Quizplus · Accepted Answer

The maximum tension provides the centripetal force needed for circular motion. Using the formula T = mv^2/r, where T is the tension (350 N), m is the mass (0.50 kg), v is the speed, and r is the radius (1.0 m), we solve for v: v = sqrt(T*r/m) = sqrt(350*1/0.50) = 26 m/s.

A 050-Kg Toy Is Attached to the End of a 1