A mass m is attached to a cord passing through a smallhole in a frictionless, horizontal surface as in the figure below.The mass is initially orbiting with speed vi ina circle of radius ri. The cord is then slowlypulled from below, and the radius of the circle decreases tor. (Use r_i for ri, v_i forvi, m, and r as appropriatein your equations below.)
(a) What is the speed of the mass when theradius is r?
v = Click here to preview your answer.

(b) Find the tension in the cord as a function of r.
T = Click here to preview your answer.

(c) How much work W is done in moving m fromri to r? (Note: The tensiondepends on r.)
W = Click here to preview your answer.
Click here for help with symbolic formatting.

(d) Obtain numerical values for v, T, andW when r = 0.125 m,m = 50.0 g,ri = 0.300 m, and vi =1.50 m/s.
v = m/s
T = N
W = J


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