Consider a 50.0 kg merry go round with a radius of 1.50 rotating at 20.0 rpm with an 18.0 kg child located 1.25 m from the center.  What is the total kinetic energy of the system? Group of answer choices 74.0 J 185 J 296 J 307 J

Q: A potter’s wheel with rotational inertia 24 kg ∙ m^2 is spinning freely with no friction at 50 rpm.…

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Q: A thick cylinder of inner radius 10 cm and outer radius 50 cm rolls at 4 m/s without slipping. If…

A: Given data The inner radius of the cylinder is ri = 10 cm. The outer radius of the cylinder is ro =…

Q: At time t = 0 s, a wheel has an angular displacement of zero radians and an angular velocity of 21…

A: According to Work energy theorem, Change in kinetic energy is equal to work done. W=∆K…

Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 2.97 kg (see figure…

A: Given data: Moment of inertia of student + stool is, I0 =2.56 kg.m2 Mass of each dumbbell is, m=…

Q: Three 0.0200 kg particles that have been glued to a rod of length L = 9.00 cm and negligible mass.…

A: Option D) 3.24 × 10-4

Q: A disk of mass 2.00 kg and radius 0.250 m is rolling (without slipping) across a floor with a linear…

A: A disk weighting 2 kg rolls without slipping across a floor with a speed of 5m/s  Total kinetic…

Q: Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates…

A: Total kinetic energy is,

Q: A rotating disk is initially spinning at w 7.4 rev/s, slows down and stops in 11.6 s. What is the…

A: Option d is the right answer  -0.64 rev /s^2

Q: The three 200 g masses in the figure below are connected by massless, rigid rods. (a) What is the…

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Q: A solid disk of moment of inertia 0.563 kg m² is spinning about its center of mass at a rate of 10.5…

A: Initial total moment of inertia, I1 = 0.563 kgm2 Final total moment of inertia, I2 = 2I1 = 1.126…

Q: A typical helicopter with four blades rotates at 290 rpm and has a kinetic energy of 5.85 x 105 J.…

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Q: A 2.00 kg solid disk of 20.0 cm diameter is rotating at 200.0 rpm. A 1.00 kg narrow circular loop of…

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Q: While spinning down from 500.0 rpm to rest, a solid uniform flywheel does of work 51 KJ. If the…

A: initial angular speed (ω) = 500 rpm= 500×2π60 = 52.36 radsec final angular speed (ωf) = 0 rpm work…

Q: A wind turbine has a moment of inertia of 2.8*10^11 kg*m^2 . How much energy is required to speed it…

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Q: A 20.0 kg hollow cylinder (I = MR2) has a diameter of 50.0 cm. The cylinder is rolling down a hill…

A: if the object is rolling then the relation b/w its angular velocity (ø) and linear velocity (v) is…

Q: A merry-go-round is spinning at a rate of 3.03.0 revolutions per minute. Cora is sitting 0.50.5 m…

A: Given that distance of Cora from the centre and distance of Cameron from the centre and also given…

Q: The four particles in figure are connected by rigid rods of negligible mass. The origin is at the…

A: Rotational Kinetic Energy (K) = 1/2 * I * w2 . where w is rotational speed =  4 rad/s. I is the…

Q: 13. Rigid rods of negligible mass lying along the y-axis connect three particles. The system rotates…

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Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 2.97 kg (see figure…

A: Given : Mass of each dumbbell = 2.97 kg Initially the radius is ri = 0.96 m Initial angular speed…

Q: A disk of mass 2.00 kg and diameter 50.0 cm is rotating without slipping across a level floor at a…

A: Given, Mass of the disk = 2 kg = m Diameter of the disc = 50 cm = 0.5 m  r = d/2 = 0.25 m Angular…

Q: Flywheels are solid, uniform disks that spin around an axis running through their center of mass and…

A: Write the expression for the kinetic energy of rotation. Here, E represents the energy, R…

Q: A 2.00 kg solid disk of 20.0 cm diameter is rotating at 200.0 rpm. A 1.00 kg narrow circular loop of…

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Q: A typical helicopter with four blades rotates at 290 rpm and has a kinetic energy of 5.85 x 105 J.…

A:

Q: propeller is modeled as five identical uniform rods extending radially from its axis. The length and…

A: Length l = 0.705 m Mass m = 2.91 kg  Angular speed = 553 rpm                 = 553 × 2π /60…

Q: A potter’s wheel with rotational inertia 6.40 kg∙m2 is spinning freely at 19.0 rpm. The potter…

A: The spinning angular speed is, ω=19 revmin2π rad1 rev1 min60 s=1.989 rad/s Find the angular momentum…

Q: A wheel is turning about an axis through its center with constant angular acceleration. Starting…

A: Given Number of revolutions θ=8.25 revolutions = 51.84 rad t = 15 s KE  = 34 J

Q: A spinning disk with a mass of 12 kg and a radius of 2 m has an angular velocity of 3 rad/s. What is…

A: Solution:          Rotational kinetic energy of a disc            K.∈=12I ω2…

Q: What is the rotational kinetic energy of a 2.00kg wheel that has a radius of 0.350m when rotating at…

A: Correct Answer: Option (A) i.e. 885 J

Q: A system of point particles is shown in the figure. Each particle has mass 1.0 kg and they all lie…

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Q: A 2.00 kg solid, uniform sphere rolls without slipping across a level surface, translating at 3.50…

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Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: Moment of inertia of each rod = (1/3) M L2 Therefore, moment of inertia of 5 rods = (5) * (1/3) M L2…

Q: The solid spherical Earth has a mass M=6.0x1024 kg, a radius R=6.37x106 m, and orbits the Sun at a…

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Q: Three point masses ma, mB and mc are located in the x-y plane at points A, B and C as shown in…

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Q: An object is rolling, so its motion has rotation and translation. Let K = the object's tranlational…

A: Option (D) Emec=K+KR+U

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: The moment of inertia of the rod is, I=mL2=2.59 kg0.745 m2=3.72 kg·m2 The angular speed of the…

Q: A spinning figure skater has a moment of inertia of 1.00 kgm with her arms tucked close to her body…

A: Given data: Moment of inertia when arms tucked close to body (I1) = 1.00 kgm2 Moment of inertia when…

Q: A ball of radius0.226 m rolls along a horizontal tabletop with a constant linear speed of 5.36 m/s.…

A: Given- Radius of ball (r) = 0.226 m Linear speed (v) = 5.36 m/s Vertical distance (s) = 2.47 m g =…

Q: A spinning figure skater has a moment of inertia of 1.00 kgm2 with her arms tucked close to her body…

A: Given,  moment of inertia of skater when arms tucked close to her body , Iclosed = 1.00 kgm2 moment…

Q: A large turntable rotates about a fixed vertical axis (Iturntable=1200 kg/m2) making 1 revolution…

A: Moment of inertia of turntable = 1200 kg m2time taken for 1 revolution = 6 seconds mass of student =…

Q: Consider a basketball player spinning a ball on the tip of a finger. If a player performs 1.99 J of…

A: The given data are: E=1.99 JC=0.749 mM=0.624 kg Here, E denotes the energy, C denotes the…

Q: A typical helicopter with four blades rotates at 240 rpm and has a kinetic energy of 3.45 105 J.…

A: The kinetic energy, KE=3.45×105 J   The angular speed, ω=240 rpm×2π rad1 rev×1 min60 s=25.13 rad/s

Q: 16. Kathy is changing the tire of her car on a steep hill 20.0 m high. She trips and drops the 10.0…

A: Given data: The mass of tire is m=20 kg. The height of hill is H=20 m. The initial speed of tire is…

Q: a wheel of radius 0.20 m is mounted on a frictionless horizontal axis. The rotational inertia of the…

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Q: A rotating disk is initially spinning at w=2.7 rev/s, slows down and stops in 19.4 s. What is the…

A: The disk’s average angular acceleration can be determined by using the rotational kinematics…

Q: A spherical snowball of mass M and radius R starts from rest and rolls without slipping down a roof…

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Q: A uniform disk of mass 80 kg and radius 0.5 m is mounted on frictionless bearings so it can rotate…

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Q: 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational…

A: m= 5 kg r= 0.4 m v= 3 m/s maximum height achieved= H inertia= I