Aplayground merry-go-round of radius 1.6 m has a moment of inertia 192 kg. m2 and is rotating at 11 rev/min about a frictionless vertical axle. facing the axle, a 21 kg child hops onto the merry-go-round, and manages to sit down on the edge. what is the new angular speed of the merry-go-round? answer in units of rev/min.

Letter a, because when there are unlike charges they will always attract to each other.

490 n  f=125n a=2.5m/s2

Distance covered, s = 8ft - 4ft = 4 ftinitial velocity, u = 34 ft/sthe acrobat is moving upwards and therefore, a = -g = -9.81 m/s^2 = 32.19 ft/s^2applying equation of motion; s = ut -1/2gt^2then,4 = 34t -1/2*32.19t^24 = 34t - 16.095t^2rearranging; -16.095t^2 + 34t - 4 = 0solving the quadratic equation; t = {-34 +/- sqrt [34^2 - 4(-16.)]}/2(-16.095) = 1.06 +/- 0.93 = 0.13 or 1.99the acrobat will take 0.13 seconds to be at 8 ft above the ground. additionally, once at the maximum height, the acrobat will move down and be at the same spot (that is height) after 1.99 seconds moving down.

In the conservation of mass, mass (which is the same as energy) can never be created or destroyed in the same way oil is formed from the remains of small animals and plants that died and fell to the bottom of the sea and their mass (energy) is conserved as oil.