Calculate (a) the rotational inertia of the merry-go-round about its axis of rotation, (b) the magnitude of the angular momentum of the running child about the axis of rotation of the merry-go-round, and (c) the angular speed of the merry-go-round and child after the child has jumped on.
Q: -55.0-kg woman stands at the rim of a horizontal turntable having a ertical axle through its center.…
A: The questions are answered below
Q: À 55.0-kg woman stands at the rim of a horizontal turntable having a moment of Inertia of 540 kg ·m2…
A: mass of woman (m) = 55 kg moment of inertia of turntable (I) = 540 kgm2radius (r) = 2 m initial…
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Q: A 55.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 420 kg ·…
A: Given:- A 55.0-kg woman stands at the rim of a horizontal turntable having a moment of…
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Q: A playground merry-go-round of radius 2.00 m has a moment of inertia I = 245 kg-m² and is rotating…
A: herelet Initial moment of inertia of systemIi=245+MR12Ii=245+2512=270 kg m2w1=14 revmin
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A: Ans:- Image-1
Q: One popular design of a household juice machine is a conical, perforated stainless steel basket 3.30…
A: Given that, the diameter D of top side of bucket is 13.40 cm or 0.134 m and radius R is 0.067 mThe…
Q: A 70.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 480 kg m²…
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Q: A 53.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 570 kg ·…
A: Given, mass of woman, mw=53.0 kg moment of inertia of turntable, IT= 570 kg · m2 radius, r = 2.00 m…
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Q: An automobile traveling 70.0 km/h has tires of 73.0 cm diameter. (a) What is the angular speed of…
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Q: 65.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 540 kg · m2…
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Q: An automobile traveling 73.0 km/h has tires of 74.0 cm diameter. (a) What is the angular speed of…
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Q: An automobile traveling 72.0 km/h has tires of 70.0 cm diameter. (a) What is the angular speed of…
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Q: A 70.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 480 kg m²…
A:
Q: "A playground merry-go-round of radius R = 2.00 m has a moment of inertia I= 250 kg m and is…
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Q: In a double-star system, two stars of mass 2.7 x 1030 kg each rotate about the system's center of…
A: mass of each star (m) = 2.7×1030 kg radius (r) = 1.1×1011 m
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Q: ameter 8.00 2000 revolutions per Taxis. Solid pieces of fruit are choppe opular design of a Machine…
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Q: A 65.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 480 kg ·…
A: It is given that,
Q: A 70.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 420 kg ·…
A: As per the given data, Mass of the women (m) = 70 kg; Moment of inertia of table (It) = 420 kg-m2;…
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A: Conservation of Angular Momentum According to the law of conservation of angular momentum, the…
Q: A 150-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in…
A: Write the given values with the suitable variables. m=150kgr=1.5 mω0=0 rad/sω=0.5 rev/s=0.52π…
In a playground, there is a small merry-go-round of radius 4.30 m and mass 150 kg. Its radius of gyration is 3.60 m. A child of mass 32.0 kg runs at a speed of 1.60 m/s along a path that is tangent to the rim of the initially stationary merry-go-round and then jumps on. Neglect friction between the bearings and the shaft of the merry-go-round. Calculate (a) the rotational inertia of the merry-go-round about its axis of rotation, (b) the magnitude of the
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- A uniform disk of mass 7.00m and radius 7.00r can rotate freely about its fixed center like a merry-go-round. A smaller uniform disk of mass m and radius r lies on top of the larger disk, concentric with it. Initially the two disks rotate together with an angular velocity of 14.0 rad/s. Then a slight disturbance causes the smaller disk to slide outward across the larger disk, until the outer edge of the smaller disk catches on the outer edge of the larger disk. Afterward, the two disks again rotate together (without further sliding). (a) What then is their angular velocity about the center of the larger disk? (b) What is the ratio K/K0 of the new kinetic energy of the two-disk system to the system's initial kinetic energy?5,00 h A hollow sphere of mass 2.6 kg and radius 2 cm starts to roll (without slipping) down an incline of height 0.5 m. At the bottom of the incline, the sphere makes a head-on and perfectly inelastic collision with a box of mass 5.4 kg and the two objects slide together accross the ground. The coefficient of kinetic friction between the objects and the ground is 0.4. Determine the following quantities (take g = 9.81 m/s^2): (a) Kinetic energy of the sphere at the bottom of the incline (before collision) (in joules) (b) The speed of the system of two objects right after the collision (m/s) Hint: during the collision, model the two objects as point-like particles (c) The distance that the system of two objects travels from the bottom of the incline until they stop (m) (Give your answers as numbers (without any units or percentage...) with 3 significant figures. Use dot() for decimal point)One popular design of a household juice machine is a conical, perforated stainless steel basket 3.30 cm high with a closed bottom of diameter 8.00 cm and open top of diameter 13.40 cm that spins at 23000 revolutions per minute about a vertical axis. Solid pieces of fruit are chopped into granules by cutters at the bottom of the spinning cone. Then the fruit granules rapidly make their way to the sloping surface where the juice is extracted to the outside of the cone through the mesh perforations. The dry pulp spirals upward along the slope to be ejected from the top of the cone. The juice is collected in an enclosure immediately surrounding the sloped surface of the cone. Pulp D Motor Spinning basket Juice spout (a) What centripetal acceleration does a bit of fruit experience when it is spinning with the basket at a point midway between the top and bottom? m/s² ---Direction--- (b) Observe that the weight of the fruit is a negligible force. What is the normal force on 1.50 g of fruit at…
- The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.8 cm and a mass of 22 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3s the disk has an angular velocity of 210 rad/s counterclockwise. Force F₁ has a magnitude of 0.105 N. What is magnitude F₂? F Number Units F2The minute hand on a watch is 6 cm long. If after 12:30 the tip of the minute hand has traveled a distance of 22 cm, it can be stated that: a) The angular velocity of the tip of the minute hand is greater than the angular velocity of a point located half the length of the minute hand. b) The tangential velocity of the tip of the minute hand and of a point located half the length of the minute hand have the same magnitude. c) The distance traveled by the tip of the minute hand would make it possible to predict the end time of the watch. d) The tangential acceleration of the tip of the minute hand and a point located half the length of the minute hand have the same magnitude.The Earth has an angular speed of 7.272 10-5 rad/s in its rotation. Find the new angular speed if an asteroid (m = 1.22 1022 kg) hits the Earth while traveling at a speed of 1.45 103 m/s (assume the asteroid is a point mass compared to the radius of the Earth) in each of the following cases. (a) The asteroid hits the Earth dead center along the radial line from the Sun through the Earth's center. (b) The asteroid hits the Earth nearly tangentially in the direction of Earth's rotation. (c) The asteroid hits the Earth nearly tangentially in the direction opposite to Earth's rotation.
- A sphere of mass 1.0 kg and radius 0.5 m is attached to the end of a massless rod of length 3.0 m. The rod rotates about an axis that is at the opposite end of the sphere (see below). The system rotates horizontally about the axis at a constant 400 rev/min. After rotating at this angular speed in a vacuum, air resistance is introduced and provides a force 0.15 N on the sphere opposite to the direction of motion. What is the power provided by air resistance to the system 100.0 s after air resistance is introduced?A 55.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 560 kg · m? and a radius of 2.00 m. The turntable is initially at rest and is free to rotate about a frictionless vertical axle through its center. The woman then starts walking around the rim clockwise (as viewed from above the system) at a constant speed of 1.50 m/s relative to the Earth. (a) In what direction does the turntable rotate? O clockwise O counterclockwise with what angular speed does the turntable rotate? rad/s (b) How much work does the woman do to set herself and the turntable into motion?Two 3.40 kg balls are attached to the ends of a thin rod of length 44.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 73.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 2.97 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (deg) will the system rotate before it momentarily stops? Putty wad Rotation axis (a) Number i Units (b) Number i Units Units i (c) Number
- In a playground, there is a small merry-go-round of radius 1.60 m and mass 150 kg. Its radius of gyration is 1.20 m. A child of mass 42.0 kg runs at a speed of 2.50 m/s along a path that is tangent to the rim of the initially stationary merry-go-round and then jumps on. Neglect friction between the bearings and the shaft of the merry-go-round. Calculate (a) the rotational inertia of the merry-go-round about its axis of rotation, (b) the magnitude of the angular momentum of the running child about the axis of rotation of the merry-go- round, and (c) the angular speed of the merry-go-round and child after the child has jumped on. (a) Number i Units (b) Number i Units (c) Number i UnitsAn automobile traveling 70.0 km/h has tires of 64.0 cm diameter. (a) What is the angular speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 25.0 complete turns of the tires, what is the magnitude of the angular acceleration of the wheels? (c) How far does the car move during the braking? (Note: automobile moves without sliding) (a) Number i Units (b) Number i Units (c) Number i UnitsA hoop of mass 3.00 kg and radius 1.00 m is moving at 3π rad/s across a horizontal surface. The coefficient of friction between the hoop and the surface is 0.65. Calculate how far the hoop will travel before it comes to rest.