Answered ? 4 stars SleepyRoad7652 answer rating percentage100% 6.105 An object t

Question

Answered ? 4 stars SleepyRoad7652 answer rating percentage100% 6.105 An object that weighs 25 N is placed on a horizontal, frictionless table in front of a spring that has a constant k (Figure6.44). When the spring is compressed and released, the object shoots off the table and is caught on the end of a 3-m-long massless string. The object then moves in a circular path. The string doesn?t break unless the spring is compressed more than 1 m. The maximum tension the string can sustain is 200 N. What is the value of the spring constant? (Ignore the fact that it would be odd for a string to be standing straight up as shown.)

Explanation / Answer

In a spring scale: F = mg = kx Solve for k: k = mg/x = (0.100 kg)(9.81 m/s^2)/(0.0120 m) = 81.75 N/m

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