An ice skater starts a spin with her arms stretched out to the sides. She balances on the tip of one skate to turn without friction. She then pulls her arms in so that her moment of inertia decrease by a factor of three. In the process of her doing so, her kinetic energy __________ by a factor of ______

Q: The diagram shows a spinning ice skater in two different positions. L- lo L= l'o' (a) (b) What…

A: her angular speed does NOT change; conservation of angular momentum (a) An ice skater is spinning on…

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Q: 4. Torque is a and its direction can be determined using. A. scalar; right -hand rule B. scalar;…

A: (4) The quantity which has both magnitude and direction is called a vector quantity. Torque has both…

Q: A figure skater begins to spin in an angular speed w about a vertical axis with her arms…

A: Given : Initial angular speed of the skater = ω Initial Moment of inertia of the skater = I Final…

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A: Required ; Rank of the moment of inertia.

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

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Q: What will happen if an ice skater spinning on one of her toes extends her arms? a. Her moment of…

A: Expression for angular velocity -  ω=vr .....(1) Expression for moment of inertia -  L=Iω .....(2)…

Q: Which of the following statements is TRUE? a. Rotational kinetic energy is not affected by the…

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Q: Answer no. 9 and no. 10.  9. Which of the following statements is TRUE?A A The moment of inertia…

A: Solution (9) - Statement A is true only. Statement B is false because torque depends on the radius…

Q: A student sits on a rotating stool holding two 3 kg objects. When his arms are extended…

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Q: Consider a wheel and axle assembly rolling down a pair of inclined rails. The reason why the wheel…

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Q: A figure skater stands on one spot on the ice (with negligible friction) and spins around with her…

A: The angular momentum of the figure skater remains the same as the angular momentum is conserved and…

Q: You are riding your bicycle down the street at a speed of 13 m/s. Your bicycle's frame has a mass of…

A: Given data: Speed v=13 m/s Mass of the bicycle m=5.9kg Mass of one wheel is M =2.3kg Radius r=0.34m

Q: A child raises her arms to balance on a beam. This action makes it easier for her to balance because…

A: The moment of inertia of a child describes how much that child can resist the rotation. The moment…

Q: To drive a typical car at 40 mph on a level road for one hour requires about 3.2 × 10^7 J of energy.…

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Q: In the figure below, if the system is in rotational equilibrium, what is the value of x? 200 N X…

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A: Since, all the objects start rolling on the ramp from rest, their initial speed is zero. Thus, their…

Q: A top has a moment of inertia of 4.8 kg-m2.  The top is spinning at 35 rpm.  How much rotational…

A: rotational kinetic energy= 64.30 joules

Q: solid sphere rolling (without slipping) upward from the bottom of the ramp. The initial speed of the…

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Q: A torque of 170 N.m does 3420 J of work on a rotating flywheel. If the flywheels initial kinetic…

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

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Q: A pulley is pictured to the right. Its moment of inertia is 1.43 kg•m². A massless rope is wound…

A: mass of first envelope (m1) = 36.02 kg mass of second envelope (m2) = 5.33 kg Moment of inertia of…

Q: A pirouette is a ballet move where the ballerina spins on her toes. The ballerina is able to control…

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Q: The lightweight wheel on a road bike has a moment of inertia of 0.097 kg m. Amechanic, checking the…

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Q: The uniform solid block in the figure has mass 41.8 kg and edge lengths a = 0.842 m, b = 1.55 m, and…

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Q: An object of mass 1.5 kg does rotational motion. Its angular velocity is 30 rpm and the radius of…

A: Kinetic energy of the object in rotational motion Krot=12Iω2=12mr2ω2

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Q: The fly wheel is an important mechanical element in machines that is used to increase the moment of…

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Q: B d?

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Q: Consider a motor that exerts a constant torque of 25.0 N⋅m to a horizontal platform whose moment of…

A: Given,

Q: A uniform cylindrical grindstone has a mass of 10 kg and a radius of 12 cm. (a) What is the…

A: a) The expression for find rotational kinetic energy is KEr=12Iω2=12Mr222πr602 Plugging values in…

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: A potter's wheel is a thick stone of radius 0.5 m with mass 100kg. It freely rotates at 50 rpm…

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Q: A hollow sphere (M = 3.0kg and R = 60cm) is rolling down an inclined surface with a height of 2.0…

A: Given mass of hollow sphere M=3.0 kgRadius of sphere R=60 cm                           R=0.06…

Q: Find the moment of inertia of the lamina with a circular hole of 30 mm diameter about the axis AB as…

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Q: m1 m, An Atwood's machine consists of two weights, m, = 3.9 kg and m2 = 2 kg, connected by a by a…

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Q: A uniform rod rotates in a horizontal plane about a vertical axis through one end. The rod is 16.00…

A: Givenlength of rod, L=16 mWeight of rod, W=26.67 NAngular velocity, ω=250 rpm

Q: A figure skater with rotational inertia Iskater is spinning with angular speed ω. She pulls her arms…

A: SOlution: Given that Initial angular velocityω = ωon pulling her armI' = I3

Q: An ice skater is rotating with her arms extended. When she pulls in her arms her rate of rotation…

A: The mass plays a crucial role in inertia as inertia depends on mass. But in rotation, inertia…

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Q: A 2.25 kg solid, uniform disk rolls without slipping across a level surface, translating at 4.00…

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