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A steel I-beam used in the construction of a bridge is 9.2m long at 20°C. On a hot summer day, the temperature rises to 40°C. What is the change in the beam's length due to linear expansion?


a.      shows a bead sliding on a wire, How large must height h1 be if the bead, starting at rest A, is to have a velocity of 200cm/s at point B? Ignore friction



One liter of water at 46◦C is used to make iced tea. How much ice at 0 ◦C must be added to lower the temperature of the tea to 19 ◦C? The specific heat of water is 1 cal/g · ◦ C and latent heat of ice is 79.7 cal/g. Answer in units of g. 


How much energy is required to change a 39 g ice cube from ice at −14◦C to steam at 114◦C? The specific heat of ice is 2090 J/kg · ◦ C, the specific heat of water is 4186 J/kg · ◦ C, the specific heat of stream is 2010 J/kg · ◦ C, the heat of fusion is 3.33 × 105 J/kg, and the heat of vaporization is 2.26 × 106 J/kg. Answer in units of J. 


A jar of tea is placed in sunlight until it reaches an equilibrium temperature of 30.7 ◦C . In an attempt to cool the liquid, which has a mass of 187 g , 130 g of ice at 0.0 ◦C is added. At the time at which the temperature of the tea is 24.6 ◦C , find the mass of the remaining ice in the jar. The specific heat of water is 4186 J/kg · ◦ C . Assume the specific heat capacity of the tea to be that of pure liquid water. Answer in units of g. 


A 31 g block of ice is cooled to −63 ◦C. It is added to 524 g of water in an 66 g copper calorimeter at a temperature of 26◦C. Find the final temperature. The specific heat of copper is 387 J/kg · ◦C and of ice is 2090 J/kg · ◦C . The latent heat of fusion of water is 3.33 × 105 J/kg and its specific heat is 4186 J/kg · ◦C . Answer in units of ◦C.


  1. A jet of water moving at a velocity of 30m/s impinges on a series of vanes moving at 15 m/s. The jet makes an angle 30o to the direction of motion of vanes at entry and leaves the vanes at 60o. Draw the inlet and outlet velocity diagrams and find i) vane angles at inlet and outlet ii) work done per second per Newton of water, and iii) hydraulic efficiency

A solar energy collector has dimension of 1.2m by 2.4m and collects solar energy with about 70% efficiency. The average solar flux is -min 800wm-2 .water enters the collector at 30°C and flows at 2 litre min -1. what is the waters outlets temperature.


gA closed vessel made of brass 4mm thick has a surface area of 0.2m² and contains 5*10-3m2 of hot water. Calculate the temperature diffrence which exists between the inside and outside of the surfaces of the brass vessel if the water is cooling at 1k per second


A 20 gm piece of metal is heated to 150 c and then dropped into an aluminum calorimeter of mass 500gm containing 500gm of water initially at 25 c find the final equilibrium temperature of the system if the specific heat of the metal is 128.100j/kg-k while the specific heat of water is4200j/kg-k


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