A solid sphere of ice and a solid sphere of plastic are placed at the top of an inclined plane of length L and simultaneously released from rest, as shown in (Figure 1). Each has mass m and radius R. Assume that the coefficient of friction between the ice sphere and the incline is zero and that the plastic sphere rolls down the incline without slipping. Derive expressions for the following quantities in terms of L, 0, m, and R: (a) the total kinetic energy of each sphere at the bottom of the incline; (b) the translational speed of each sphere at the bottom of the incline; (c) the translational kinetic energy of each sphere at the bottom of the incline; (d) the rotational kinetic energy of each sphere at the bottom of the incline. Figure < 1 of 1 Part B Write an expression for the kinetic energy of the ice sphere in terms of its translational speed v. Express your answer in terms of some or all of the variables m, R, and v. ▾ View Available Hint(s) Hint 1. Translational kinetic energy Kinetic energy of an object moving without rotation equals its translational kinetic energy. Kice = Submit Part C [ΨΕΙ ΑΣΦ Kplastic = Request Answer Write an expression for the kinetic energy of the plastic sphere in terms of its translational speed v. Express your ans in terms of some or all of the variables R. and v. View Available Hint(s) ΠΫΠΙ ΑΣΦ ? 3 ?

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Explain the process by which an energy dispersive X-ray spectrum (EDX) spectrum is generated and the origins of the La and Ka lines for Fe in the EDX shown in Figure 3 below. Why do the Fe La lines have a lower energy than the Ka lines? By considering the energy of the X-rays measured, discuss whether EDX can be used to measure whether the iron in an iron oxide is in 2+ or 3+ valence state? Which other spectroscopy technique in the transmission electron microscope (TEM) is more appropriate and why? OK 0.01 10.00 kev Figure 3: EDX spectrum of multi-element glass (NIST K309) containing 0, Al, Si, Ca, Ba and Fe.