Question

A 64.0-kg woman stands at the western rim of a horizontal turntable having a moment of inertia of 495 kg .m2 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. Consider the woman-turntable system as motion begins. (a) is the mechanical energy of the system constant? O Yes O No (b) Is the momentum of the system constant? O Yes O No (c) Is the angular momentum of the system constant? O Yes O No (d) In what direction and with what angular speed does the turntable rotate? magnitude rad/s direction ---Select--- (e) How much chemical energy does the woman's body convert into mechanical energy of the woman-turntable system as the woman sets herself and the turntable into motion? Need Help? Read It Master it

Answer 1

Mechanical energy is not constant, some chemical potential energy in the woman's body is transformed into mechanical energy. b) Wol. Momentum is not constant. The turntable bearing exerts an external northward force on the axle to prevent the axle from moving southward because of the northward motion of the woman. yes Angular momentum is constant because the system is isolated from toque about the axle. d) ef=Li=o I ww t Itto Vw Meer 0+ -67) - It -0.387878787 Bads 64 64 kg (Rm)(1-50m/s) 495 kgom magnitude: 0.388 rad/ direction : counterclockwise) V Ak=kfo = 1 / 2 mw xu + 21 oz $(64kg) (1.50m/s) + ++ (495 Kgom)(0.384878-98% xag AK = ДЕ 109.2363636 J Ak = 109.236J