Question

A roundabout is a type of playground equipment involving a large at metal disk that is able to spin about its center axis. A roundabout of mass 120kg has a radius of 1.0m is initially at rest. A child of mass 43kg is running toward the edge of the roundabout (meaning, running on a path tangent to the edge) at 2.7 m/s and jumps on. Once she jumps on the roundabout, they move together as a single object. Assume the roundabout is a uniform disk.
1. What is the magnitude of her angular momentum (with respect to the center of the roundabout) just before she jumps?
2. What is the angular speed of the roundabout after the jump?
3. Does the overall kinetic energy of the system increase, decrease, or remain constant? If you say it changed, explain what caused a change in energy.

Answer 1

D Lamur=43x 2.771 1161 kg m/s - I - Idesk + I child = {MR? + RP 4x120x(10*+ 43*(1) Angular momentum is conserved =103 kg m2 wsì ho -127 rod/sec 3) KET = 1 mv2 x 43* (2.71² > 156-7355 key - Is's ** 103 x{1•122)65.415 Energy decrease some of energy goes in to set roundabout in motion : in Work done CS Scanned with CamScanner