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) After getting it going, the 45-kg child steps, with negligible
velocity, on the outer edge of the merry-go-round. What is the new
angular velocity of the child plus merry-go-round system?
(d) Is kinetic energy conserved in the process of part (c)? Justify
your answer.
answers below but i need help with steps
A merry-go-round, which may be approximated as a solid disk of mass 90.0 kg and radius...
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....
Problem 3: A merry-go-round can be considered a uniform disk of mass 145 kg and radius 2.10 m free to rotate about a frictionless axis through its center. A 40.0 kg child stands at the edge and the system is initially rotating at 0.300 rad/sec. The child begins to walk around the edge of the merry-go-round with a velocity of 0.250 m/s relative to the ground in the direction of the rotation. What is the angular velocity of the merry-go-round...
A playground merry-go-round(solid disk) has a mass of 120kg and a radius of 2.00m and it is rotating with an angular velocity of .500rev/s What is its angular velocity after a 20kg child gets onto it by grabbing it's outer edge? the child is initially at rest
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...
A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.350 rev/s. What is its angular velocity (in rev/s) after a 25.0 kg child gets onto it by grabbing its outer edge? The child is initially at rest. ______ rev/s
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 merry-go-round modeled as a disk of mass 100 kg and radius 2.0 m is rotating around a frictionless vertical axle. After a person of mass 60 kg jumps onto the merry-go-round, the system’s angular speed decreases to 2.0 rad/s. If the person walks slowly from the edge toward the center, find the change in the system’s rotational kinetic energy caused by her movement to 0.5 m from the center.
A 1.80 m radius playground merry-go-round has a mass of 120 kg and is rotating with an angular velocity of 0.330 rev/s. What is its angular velocity, in rev/s, after a 29.0 kg child gets onto it by grabbing its outer edge? The child is initially at rest.
A 2.44-m radius playground merry-go-round has a mass of 109.8 kg and is rotating with an angular velocity of 0.71 rev/s. What is its angular velocity after a 45.8-kg child gets onto it by grabbing its outer edge? The child is initially at rest.
(14%) Problem 6: A playground merry-go-round with a mass of 130 kg and a radius of 1.4 m is rotating with an angular frequency of 0.48 rev/s. Randomized Variables m = 130 kg m2 = 21 kg w; = 0.48 rev/s r=1.4 m * What is the magnitude of its angular velocity, in radians per second, after a 21 kg child gets onto it by grabbing its outer edge? The child is initially at rest.