A 25-kg child running at 1.6 m/s jumps onto the outer edge of a merry-go-round of 200-kg mass and 1.8 m radius. If the merry-go-round starts from rest, what is the final angular velocity in rad/s of the child and merry-go-round? Use conservation of angular momentum and treat the merry-go-round as a solid disk.
A 25-kg child running at 1.6 m/s jumps onto the outer edge of a merry-go-round of...
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?...
26. A 35 kg child is sitting at the edge of a 750 kg merry-go-round (assume it is a solid uniform cylinder or disk) with radius 2.0 m which is rotating once every 30 seconds. a. Calculate the angular velocity of the merry-go-round. 0.21 rad's b. Calculate the speed of the child. 0.42 m/s C. Calculate the angular momentum of the merry-go-round and child together. 343.5 d. If the child moves into the center of the merry-go-round, what will the...
An 85.0 kg child runs in a straight line towards the edge of a stationary merry-go-round at 2.50 m/s. The merry-go-round is in the shape of a disk and has a diameter of 4.50 m and a mass of 235 kg. The child jumps onto and stays on the merry-go- round. What is the angular momentum of the child before this collision, in kg m2/s? (A) What is the moment of inertia of the merry-go-round, in kg m27 [B) What...
5. A 3.0 m diameter merry-go-round (mass 200 kg) is spinning at 10 rpm. A child of 30.0 kg runs tangent to the merry-go-round at 2.0 m/s, in the opposite direction that it is turning, and jumps onto the outer edge. Calculate the merry-go-round's angular velocity, immediately after the child jumps on.
4. Two children, A and B, each having a mass of 30 kg sit at the edge of the merry-go-round nwhich is rotating at 2 rads Excluding the children, the merry-go-round has a mass of 180 kg and a radius of gyration ofk,-06 m 0.75 m 0.75 m 2 rad/s Use 4 significant figures Be carefiul with units and signs. a. Initial total angular momentum pts. b. If child A jumps off hoeizoetally in the-a directice with a speed of...
A 24.5-kg child is standing on the outer edge of a merry-go-round which has moment of inertia of 989 kg m-and radius 2.40 m. T rotating at 0.18 rev/s. Find the angular velocity if the child moves to a final position 1.10 m from the center of the merry-go-round
(4) A playground ride, known as merry-go-round, consists of a disk with a mass of 40.0 kg and a radius of 1.80 m mounted on a frictionless axle. The frictionless axle is a vertical cylinder of radius kg, and has the same rotational axis as the disk. A child with a mass of 3.50 m/s on a line tangential to the outer rim of the disk and jumps onto the outer edge of the ride while it is at rest...
A 40.0-kg child running at a speed 3.00 m/s jumps on 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 which has a 600 kg.
A merry-go-round, which may be approximated as a solid disk of mass 90.0 kg and radius 2.00 m, is originally at rest but free to rotate in the horizontal plane about its center. A child applies an external force of 20.0 N tangentially to the outer edge of the merry-go-round, for a duration of 15.0 s. (a) What is the final angular velocity of the merry-go-round? (b) What is the average power supplied by the child in the process? (c)...
A 50.0 kg child is on a 200.0 kg merry-go-round with a radius of 1.50 m. The child starts at 0.5 m from the center and moves to the edge. The child's parent accelerates the merry-go-round from rest at 0.75Td to a speed of 1.5 Fad How long did the parent push the merry-go-round? How much force is required to hold the child when at 0.5 m from the center? (This centripetal force could be from friction, holding on, or...