A dumbbell is at rest on a frictionless horizontal 7m table. The dumbbell consists of two pointlike particles each of mass m = 4 kg at the ends of a massless rod of length l 6 m. A pointlike particle, also of mass m = 4 kg, moves at speed %3| (top view) = 24 m/s perpendicular to the dumbbell as shown in the figure. The moving particle collides and sticks to the upper mass of the dumbbell. What is the speed of the center of mass of the resulting system after the collision?

Question
A dumbbell is at rest on a frictionless horizontal
7m
table. The dumbbell consists of two pointlike
particles each of mass m =
4 kg at the ends of
a massless rod of length l
6 m. A pointlike
particle, also of mass m = 4 kg, moves at speed
%3|
(top view)
= 24 m/s perpendicular to the dumbbell as
shown in the figure. The moving particle collides
and sticks to the upper mass of the dumbbell.
What is the speed of the center of mass of the resulting system after the
collision?
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Transcribed Image Text

A dumbbell is at rest on a frictionless horizontal 7m table. The dumbbell consists of two pointlike particles each of mass m = 4 kg at the ends of a massless rod of length l 6 m. A pointlike particle, also of mass m = 4 kg, moves at speed %3| (top view) = 24 m/s perpendicular to the dumbbell as shown in the figure. The moving particle collides and sticks to the upper mass of the dumbbell. What is the speed of the center of mass of the resulting system after the collision?

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