Problems on Physics - 613 Words

Work out the following problems. Be sure to show your work in detail. See the hand out uploaded for examples of how the problems should be solved and presented.  1. A 55 gal. drum of organic solvent, full and sealed, weighs 400 lbs. The empty drum weights 40 lbs. What is the density of the solvent, in kg/L? What is its specific gravity? Density = p = mass/volume Mass of solvent = 400 lbs 40 lbs = 360 lbs = 360 lbs * (0.45359237 kg/lbs) = 163.29 kg 1 pound = 1 lbs = 0.45359237 kg (online conversion app) Volume of solvent = 55 gallons = 55 gallons * (3.78541178 liters/gallon) = 208.19 L Density = p = mass/volume = 163.29 kg / 208.19 L = 0.784 kg/L (spgr)solvent = p_solvent/p_water Specific gravity of water = p_water = 1000 kg/m^3 = 62 lb/ft^3 Volume of 55 gal drum = Pi*r^2*h where the drum has a 22.5 diameter and is 33.5 high. Thus v_solvent = pi*(11.25)^2*33.5 inches^3 = 13313 in^3 * (1 ft/12in)^3 = 7.7 ft^3 (spgr)solvent = m_solvent/(v_solvent*p_water) = 360 lbs / (7.7 ft^3 * 62 lb/ft^3) = 0.754 The density of the solvent is = 0.784 kg/L and the specific gravity is 0.754. 2. A cylindrical object 0.5m in diameter and 2m long weights has a mass of 200kg. The object is floating end-down in water. How many cm of the object are above the waterline? 0.5m ? cm = how much above waterline? 2m V_sub/V = p_cyl/p_water V_cyl = Pi*r^2*h = pi (0.25m)^2*2m = Pi/8 m^3 P_cyl = mass_cyl/V_cyl = 200kg / (Pi/8 m^3) = 1600/Pi kg/m^3 V_sub/V = p_cyl / p_water =Show MoreRelatedPhysics Problems1088 Words   |  5 PagesUNIFORMLY ACCELERATED MOTION Problem-Solving 1. A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of the car (assume uniform acceleration). 2. A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike. 3. 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