A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed 0.50 rad/s in the clockwise direction about a fixed axis. A child of mass 40 kg runs tangentially to the merry-go-round with speed 3.0m/s and grabs onto the outside edge of the merry-go-round.
a. What is the final angular velocity of the system (merry-go-round plus child)/ What is the final tangential speed of the child?
b. What is the change in kinetic energy?
c. If instead the merry-go-round is initially rotating with angular speed 3.0 rad/s in the counterclockwise direction what would the final angular velocity be/ What is the final tangential speed of the child?
A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed...
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A 4.0-mm-diameter playground merry-go-round, with a moment of inertia of 400 kg⋅m2kg⋅m2 is freely rotating with an angular velocity of 2.5 rad/srad/s . Ryan, whose mass is 75 kgkg , runs on the ground around the outer edge of the merry-go-round in the opposite direction to its rotation. Still moving, he jumps directly onto the rim of the merry-go-round, bringing it (and himself) to a halt. How fast was Ryan running when he jumped on? How fast was Ryan running...
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