Two smal bl a 2.78 xg are attached to the ends ot a thin rod of negligible mas a

Question

Two smal bl a 2.78 xg are attached to the ends ot a thin rod of negligible mas and length 73 cm. The rod ia initially motioniea ree to rotace without txiction about a horizontal axis through its center. A putty wad of ras3 120 g dropa onto one of the balls, with a apeed 2.4 rVs, and aticks to it. What i3 the angular apeed of the aystem just after the putty wad hita? Axis Submit All Answers Answer 17. [2pt] Nhat is the ratio of the kinetic energy of the entire ayater atter the colliaion to that of the putty wad betore the colliaion (aa a percent)2 Do not enter a unit with your anawer.) Answer Submt All Answers

Explanation / Answer

as there is no external torque included in the system(putty wad and two balls) so the net angular momentum will be conserved.

so initial momentum

mvr.....where m is the mass of the putty wad ..and r is the distance from the axis of rotation

0.12*2.4*.73/2

=0.1051.

Now after roation let the angular speed of rod be

So final momnetum will be

[2.78*(0.73/2)2]+[(2.78+.12)(0.73/2)2]

=0.3703655+0.5302355

=0.900601

So initial angular mometum should be equal to final angular momentum

0.1051=0.900601

=0.1167 rad/s

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