kid runs towards the edge of a merry-go-round that is not rotating and jumps on. The merry-go-round then rotates with a constant angular velocity ω. Assume that the kid has a mass of 40 kg and is initially running at a speed of 2 m/s tangent to the edge of the merry-go-round. The merry-go-round is a uniform disk with a mass of 120 kg and a radius of 2 m. Assume that it rotates without friction. What is the final angular velocity ωf (in radians/s) of the merry-go-round (with the kid riding)

Q: A kid runs towards the edge of a merry-go-round that is not rotating and jumps on. The…

A: total moment of inertia of the system = (1/2)(80)(2)2 + (20)(2)2  = 240 kg m2 Using conservation of…

Q: A cockroach of mass m lies on the rim of a uniform disk of mass 5.00m that can rotate freely about…

A: An essential property of matter is inertia, measured by mass. Body resistance refers to a body's…

Q: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely…

A: Given:Mass of merry go round (M) = 201 kgMass of small boy (m) = 43 kgRadius of merry go round (R) =…

Q: Problem 12: A merry-go-round is a playground ride that consists of a large disk mounted to that it…

A:

Q: Julie, 40 kg, is standing on the edge of a merry-go-round at rest which has a moment of inertia of…

A: The mass of Julie is m = 40 kg. The moment of inertia is I = 800 kg m2. The radius of merry go round…

Q: When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This…

A: The moment of inertia of a sphere having radius R.

Q: Four children stand at edge of a circular horizontal platform that is free to rotate about a…

A:

Q: Problem 10:   Three children are riding on the edge of a merry-go-round that is a disk of mass 98…

A:

Q: As shown in the figure, a disk of mass m = 200 grams is placed on a rotating turntable so that the…

A: According to question--- Given data -- Mass of disk (m)= 200 g. Radius of disk = 70 cm. Hanging…

Q: The Hulk is standing on an old military turret (a big merry-go-round) at a military site. He is…

A:

Q: Joey, whose mass is m = 36 kgkg, stands at rest at the outer edge of a frictionless merry-go-round…

A:

Q: A particle with mass = 20 kg is initially at the center of a disk that has mass = 80 kg , radius r=…

A: Given data The mass of the disk is md=80 kg The mass of the particle is mp=20 kg The radius of the…

Q: In the figure here, a 25 kg child stands on the edge of a stationary merry-go-round of radius 1.6 m.…

A:

Q: Two disks have the same mass, but one disk has twice the radius as the other. The disks are…

A: initial angular velocity = W0 mass of two bodies are same = m

Q: The figure shows a device that can be used to measure the speed of a bullet. The device consists of…

A: Given that: angular displacement is θ=0.267 rad angular speed is ω=103 rad/s separation distance is…

Q: A merry-go-round rotates around the vertical axis or rotation has no friction, its moment of inertia…

A:

Q: A girl of mass 37.3 kg stands on the rim of a frictionless merry-go-round of radius 1.16 m and…

A: According to conservation of Angular momentum  If no external torque acting on the system its…

Q: Problem 7: A merry-go-round (uniform disk) has a mass of 120 kg and a radius of 1.8 m. It is…

A:

Q: A basketball player entertains the crowd by spinning a basketball on his nose. The basketball has a…

A:

Q: A particularly large playground merry-go-round is essentially a uniform solid disk of mass 3M and…

A:

Q: A child of mass m = 40 kg is initially placed on the edge of a uniform disk, of mass M = 100 kg and…

A: The objective of the question:Determine the initial angular speed. Given data:The mass of the child…

Q: A 32.0 kg person starts at the center of a frictionless rotating merry-go-round that has a radius of…

A: We solve this problem by applying conservation of angular momentum.

Q: A girl of mass 31.7 kg stands on the rim of a frictionless merry-go-round of radius 1.97 m and…

A: In the given question , We have to determine the values of given parts.

Q: A girl of mass 35.1 kg stands on the rim of a frictionless merry-go-round of radius 1.51 m and…

A: Given that---- mass of merry ground = 35.1 kg rock mass = 600 g. Rotational inertia I = 247 kg - m2…

Q: A yo-yo is made from two uniform disks, each with mass m and radius R, connected by a light axle of…

A: Given: The mass of each disk is m. The radius of each disk is R. The radius of axle is b. The…

Q: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely…

A:

Q: A girl of mass 35.5 kg stands on the rim of a frictionless merry-go-round of radius 1.83 m and…

A:

Q: Problem 4: A merry-go-round is a playground ride that consists of a large disk mounted to that it…

A:

Q: The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk…

A:

Q: In the figure here, a 32 kg child stands on the edge of a stationary merry-go-round of radius 2.3 m.…

A: Mass of child, mc = 32 kgRadius of merry-go-round, rm = 2.3 mRotational inertia of merry-go-round,…

Q: In a city park, a carousel with mass 35 kg and radius 1.5 m is a horizontal uniform disk rotating at…

A:

Q: Sphere A, with a mass of m₁ = 3.00 kg and radius of r = 50.0 mm, is initially pushed to the left…

A:

Q: After all the metal has unwound from the roller, the student measures the radius R and the angular…

A: Part (f) Basic Details According to the law of conservation of linear momentum, the momentum of the…

Q: A disk-shaped merry-go-round of radius 2.53 mm and mass 135 kg rotates freely with an angular speed…

A:

Q: that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The…

A:

Q: Problem 4: Amerry-go-round is a playground ride that consists of a large disk mounted to that it can…

A: Given: Mass,M=286kgMass of boy,m=41kgRadius,R=1.1mVelocity,v=2.5m/s

Q: a rock is dropped from a vertical cliff. It takes 7.00s for the rock to reach the ground below the…

A: Rock is dropped from rest . So, initial velocity of rock = 0 m/s  Time taken to reach the ground =…

Q: A girl of mass 32.8 kg stands on the rim of a frictionless merry-go-round of radius 1.28 m and…

A:

Q: A uniform disk of mass 7.00m and radius 7.00r can rotate freely about its fixed center like a…

A: Given that the mass of the uniform disc is 7m  and radius of the uniform disc is 7r and also given…

Q: Jacob and Sophia are playing with a merry-go-round on a playground. The merry-go-round can be…

A: The frictional force acts opposite to the motion of the merry-go-round. The expression for the net…

Q: A smooth rod of mass M, length L= 1 (m), is rotated at one end with a constant angular velocity w =…

A: Answer = ( Option D ( 0.24 )

Q: A uniform disk of mass 7.00m and radius 7.00r can rotate freely about its fixed center like a…

A:

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.