Given radius of merry-go-round , r =2m
Moment of inertia of merry-go-round Im= 400 kgm2
angular velocity of merry-go-round , = 2rad/s
mass of boy , m =80kg
-----------------
When the boy jumps on the rotating merry-go-round ,it stops
so Angular momentum of boy should be equal to that of merry-go-round
Lboy=Lm
ANSWER:Option C. 5.0m/s
28. II A 4.0-m-diameter playground merry-go-round with a moment of inertia of 400 kg m2, is...
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...
A 40.0-kg child running at 3.00 m/s suddenly jumps onto a stationary playground merry-go-round at a distance 1.50 m from the axis of rotation of the merry-go-round. The child is traveling tangential to the edge of the merry-go-round just before jumping on. The moment of inertia about its axis of rotation is 600 kg ? m2 and very little friction at its rotation axis. What is the angular speed of the merry-go-round just after the child has jumped onto it?...
A merry-go-round is a common piece of playground equipment. A 2.8-m-diameter merry-go-round with a mass of 260 kg is spinning at 22 rpm. John runs tangent to the merry-go-round at 5.0 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 39 kg. What is the merry-go-round's angular velocity, in rpm, after John jumps on?
A playground merry-go-round of radius R = 2.2C m has a moment of inertia I = 265 kg middot m^2 and is rotating at 8.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-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?
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg · m2 and is rotating at 8.0 rev/min about a frictionless vertical axle. Facing the axle, a 24.0-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
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 245 kg · m2 and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-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? rev/min
A 4.4-m-diameter merry-go-round is rotating freely with an angular velocity of 0.90 rad. Its total moment of inertia is 1360 kg⋅m2 . Four people standing on the ground, each of mass 62 kg , suddenly step onto the edge of the merry-go-round. A) What is the angular velocity of the merry-go-round now? B) What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?
46. W A playground merry-go-round of radius R 2.00 m has a moment of inertia 1 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-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?
A playground merry-go-round of radius R = 2.20 m has a moment of inertia of I = 280 kgm2 and is rotating at 11.0 rev/min about a frictionless vertical axis. Facing the axle, a 21.0 kg child hops on to the merry-go-round and manages to sit down on its edge. What is the new angular speed of the merry-go-round? 8.04 rad/s 0.845 rad/s 3.17 rad/s 1.18 rad/s 0.445 rad/s
A playground merry-go-round of radius R = 2.10 m has a moment of inertia of I = 260 kgm2 and is rotating at 11.0 rev/min about a frictionless vertical axis. Facing the axle, a 23.0 kg child hops on to the merry-go-round and manages to sit down on its edge. What is the new angular speed of the merry-go-round?