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.

(D) Species C is adsorbed on the catalyst at 700 K:(1) Ture, (2) False), (3) Cannot tell (3%)

(C)Species C is adsorbed on the catalyst surface at 400 K:(1) Ture,(2) False), (3) Cannot tell (3%)

(B) The reaction is endothermic: (1) Ture, (2) False), (3) Cannot tell (3%)

(A) The reaction is exothermic: (1) Ture, (2) False), (3) Cannot tell (3%)

7. (11%) In an ammonia decomposition reaction to generate N2 and H2 on a Platinum catalyst (2NH3 → N2 + 3H2) the rate can be expressed as -r = kKAPA/KHPH, where k is the rate constant, PA and PH indicate the pressures of ammonia and hydrogen, and KA and KH are the adsorption constants for ammonia and hydrogen. Suggest a mechanism and the assumptions consistent with the rate equation and prove it.

(c) Would you expect to have temperature variations within the pellet or across the gas film?(5%) 

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