(this is to let you know what L, r and T means). A ball of mass 0.50kg is swung

Question

(this is to let you know what L, r and T means). A ball of mass 0.50kg is swung in a circle of radius 2.0m witha period of 1.5s (setup is exactly like the diagram). Info given: speed of ball : 4.427m/s   acceleration of ball : 9.799m/s2 centripetal force exerted by string that keeps the ballin orbit : 4.9N       angle string makes withthe vertical: 44.994o          lengthof string: 2.828m          lengthof string: 2.828m Question: What is the mass of the central object? In the diagram, it is referring to "M" at the bottom of the slimglass cylinder. Please show your work.

Explanation / Answer

   M g = mV2 /R
Given that mV2 /R = 4.9 N
  So
   M g = 4.9 N
   M = 4.9N / g
   = 4.9N / 9.8m/s
   = 0.5kg
   = 500g

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