What is the neA puck (mass m 1 = 4.15 kg) slides on a frictionless table as show

Question

What is the neA puck (mass m1 = 4.15 kg) slides on a frictionless table as shown in the figure below.  The puck is tied to a string that runs through a hole in the table and is attached to a mass m2 = 12.5 kg.  The mass m2 is initially at a height of h = 12.5 m above the floor with the puck traveling in a circle of radius r = 3.32 m with a speed of 12.5 m/s.  The force of gravity then causes mass m2 to move downward a distance 1.25 m. Please show work step by step!

What is the new speed of the puck

What is the change in the kinetic energy of the puck?

Explanation / Answer

conservation of angular momentum

m v r = m v r

3.32*12.5 = (3.32-1.25)*v

v=20 m/s

dKE = 0.5*4.15*(20^2-12.5^2)=505.8 J

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