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The puck in the figure has a mass of 0.17 kg. Its original distance from the...

Question

The puck in the figure has a mass of 0.17 kg. Its original distance from the...

The puck in the figure has a mass of 0.17 kg. Its original distance from the center of rota- tion is 41.2 cm, and the puck is moving with a speed of 67.5 cm/s. The string is pulled downward 11.8 cm through the hole in the frictionless table.

41.2 cm 67.5 cm/s 0.17 kg

What is the magnitude of the work was done on the puck? Treat the hockey puck as a point mass. Answer in units of J.

41.2 cm 67.5 cm/s 0.17 kg

Answers

Given mass of puck is m = 0.17 kg

r1 = 41.2 cm = 0.412 m, v1 = 67.5 cm/s = 0.675 m/s

r2 = 41.2-11.8 cm = 29.4 cm = 0.29 m

we know that angular momentum is constant

by conservation of angular momentum

L1 = L2

m v1r1 = m v2r2

V2 = v1r1/r2
= 0.675*0.412/0.29
= 0.959 m/s

now change in k.e = 0.5*m(v2^2 - v1^2)

       = 0.5*0.17(0.959^2 -0.675^2) J

which is equal to work done on puck to pull it to a distance of 11.8 cm down

from work energy theorem , work done = change in k.e


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