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Vanele Dongmo

Vanele D.

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(a) Consider the 200 N weights that is fitted into a frictionless piston cylinder with cross sectional area of 0.0005 m² as shown in Figure 5. The air inside the cylinder is heated to 200° C at constant pressure causing the piston to rise. Take the atmospheric pressure as 100 kPa, cp = 1005 J/kg K, cv = 718 J/kg K and R = 287 J/kg K. Determine: WEIGHT 200 N AIR 20°C 4 m AREA 0.0005 m² Figure 5: Frictionless Piston fitted in Cylinder i. the pressure throughout ii. the mass of air in gram iii. the change in internal energy iv. the change in volume

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Two blocks mA = 5 kg and mB = 4 kg are on inclines and connected by a string as shown in Figure 2. The coefficient of kinetic friction between block A and the incline is 0.3 and the coefficient of kinetic friction between block B and incline is 0.24. When released from rest, mA is moving downward while mB slides up the incline plane. Figure 2: Two connected blocks on an incline plane (a) Sketch the Free Body Diagram to show all the forces acting on the system. (5 marks) (b) Determine the frictional force for both block A and block B. (7 marks) (c) Determine the magnitude of the acceleration for the system. (8 marks)

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An unknown object is thrown vertically upwards with an initial speed of 1877.4 cm/min. i. Determine the height to which the object will rise above its initial height. (4 marks) ii. Evaluate the time required for the object to reach the ground

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An object displaced with an amplitude of 140 mm at a period of 1.3334 x 10-3 min and moves according to the simple harmonic motion. If at time t = 0 the object is 0.07 m from the equilibrium, i. Write the expression for the object’s displacement in cm and ?. (7 marks) ii. Find the displacement in m at t = T/5 and round your answer to the nearest thousandths.

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An object displaced with an amplitude of 140 mm at a period of 1.3334 x 10-3min and moves according to the simple harmonic motion. If at time t = 0 the object is 0.07 m from the equilibrium, i.Write the expression for the object’s displacement in cm and ?.(7 marks)ii.Find the displacement in m at t = T/5 and round your answerto the nearest thousandths.

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A 600 kg cylindrical buoy with a shell diameter of 150 cm and height measuring at 2 m is floating in the sea water. If the relative density of the sea water is 1.03, determine the depth of the immersed part and the density of the buoy in g/cm3.

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TWO (2) moles of monoatomic gas initially at 25°C and 0.5 atm is compressed isothermally to 1.25 atm. If the gas behaves like an ideal gas, compute:i.the final volume of the gas(6 marks)ii.heat lost during compression

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