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A 30 g bullet is fired with a horizontal velocity of 450 m/s through 3-kg block B and becomes embedded in carrier C which has a mass of 30 kg. After the impact, block B slides 0.3m on C before coming to rest relative to the carrier. Knowing the coefficient of kinetic friction between B and C is 0.2, determine (a) the velocity of the bullet immediately after passing through B, (b) the final velocity of the carrier.
A spherical gas container made of steel has a 5-m outer diameter and a wall thickness of 6 mm. Knowing the internal pressure is 350 kPa, determine te maximum normal stress and the maximum shearing stress in the container.
The compound beam assembly shown is made up of 4 members connected by pins and is supported by hinges/pins at A and E. L= 2.6m (L is the lengthD to E) , and w= 60 (w is the load-lines) .
The following data were obtained for a plate-and-frame filter of total area A=500 sq cm. operating under a constant pressuredrop of 0.1 atm: Time t (min): 50 75 100 Volume of filtrate V (liter): 9.7 12.3 14.0 The filtrate is essentially water.
If log KSO, calcite (CaCO3(s)) = -8.61 at 50 oC, would calcite be over- or under- saturated in a hot water heater at 50 oC if the water was in equilibrium with calcite at 25 oC (log KSO = -8.30) when it entered the house
A Carnot power cycle uses 0.45 kg air, modeled as an ideal gas, as the working fluid. The net work, Wcyc, is 93.64 kJ and the thermal efficiency is 0.6. During the isothermal expansion the volume triples.
A particular crest vertical curve has long been criticized as being unsafe. Its length is 400 ft. The prevailing speed on the crest vertical curve is 50 mph. In its present condition, its tangent grades are +2% and -3%.
A sewage treatment works (STW) with 4 single-stage trickling filters has become organically overloaded due to the discharge of a biodegradable industrial effluent to the STW. This is causing effluent to pond on the surface of the filters.
Vehicles arrive at a tollbooth according to the function h(t)= 5.2-0.2t, where h(t)is in vehicles per minute and t is in minutes. The toll booth operator processes 3 vehicles per minute.
A flat plate weighing 220 N slides down a 15 degree incline with a velocity of 2.5 cm/sec. A thin film of oil with a viscosity of 1.29 N.sec/m^2 separates the plate from the ramp. if the plate is 50 cm by 75 cm, calculate the film thickness in cm.
The aerodynamic drag of a new sports car is to be predicted at a speed of 50mph at an air temperature of 25 degrees Celcius. Automotive engineers build a one-fifth scale model of the car to test in a wind tunnel.
A cast iron water main 14m long of 600 mm inside diameter and 30 mm wall thickness runs full of water and is supported at its ends. Calculate the maximum stress in the metal if density of cast iron is 7200 kg/m and that of water is 1000 kgm.
At a specified point on a highway, vehicles are known to arrive according to a poisson process. Vehicles are counted in 20 second intervals, and vehicle counts are taken in 120 of these time intervals.
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