(b)Calculate the excitation energy required to promote the marble to the next available energy state. (10%) 

5. Use the uncertainty principle to make an order of magnitude estimate for the kinetic energy (in eV) of an electron in a hydrogen atom. (15%)

(a) The Compton shift at this angle. (8%)

(b) The energy of the scattered X-ray. (6%)

(c) The energy of the recoiling electron. (6%)

1. (20%) The motorcycle travels along the elliptical track at a constant speed ν . Determine its smallest acceleration if a > b.

2. (20%) If blocks A and B of mass 0 kg and 6 kg, respectively. are placed on the inclined plane and released. determine the force developed in the link. The coetticients of kinetic friction between the blocks and the inelined plane are μA. =0.1 μB= 0.3. Neglect the mass of the link.

3. (20%) If the 75-kg crate starts from rest at A. determine its speed when it reaches point B. The cable is subjected to a constant force of F=300N. Neelect friction and the size of the pulley.

4.(20%) The boat has a mass of I 80 kg and is traveling forward on a river with a constant velocity of 70 kn/h. measured relative to the river. The river is flowing in the opposite direction at 5 km/h. If a tube is placed in the water, as shown, and it collects 40 kg of water in the boat in 80 s, determine the horizontal thrust T on the tube that is required to overcome the resistance due to the water collection and yet maintain the constant speed of the boat. ( Pw = 1 Mg/m3) 

5.(20%) A car of mass m is traveling at a slow velocity vo. If it is subjected to the drag resistance of the wind. which is proportional to its velocity. FD = ky. where k is a known propotional constant. Determine the distance and the time the car will travel before its velocity becomes 0.5vo. Assume no other frictional forces act on the car.

1. Curves of constant temperature T(x, y)=const in a temperature field are called isotherms. Their orthogonal trajectories are the curves along which heat will flow (in regions that are free of sources or sinks of heat and are filled with a homogeneous medium). If the isotherms are given by ,what are the curves of heat flow? (1.5%)

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