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In eight ball, a player needs to pocket the eight ball to win the game. Assume that the player strikes the cue ball so that it impacts the eight ball with velocity v, sufficiently large to knock the eight ball into the side pocket, and that the impact is elastic. An official pool ball weighs 6 ounces and has a diameter of 2.25 in. (a) At what angle did the player have to shoot the cue ball so that the eight ball entered the pocket at C? (b) In what direction did the cue ball move after the collision? (c) What percentage of its kinetic energy did the cue ball impart to the eight ball?
Water is used in a heat exchange to cool 5 kg/s of air from 400 C to 200 C. Calculate (a) the minimum mass flux (kg/s) of the water and (b) the quantity of heat transferred (MJ) to the water each second.
A wheel has an angular acceleration of alpha=(0.5*theta) rad/s^2 , where theta is in radians. a) Determine the magnitude of the velocity of point P located on its rim after the wheel has rotated 2 revolutions.
The telescope of the instrument is 5.25 ft above the ground station, whose elevation is 415.65 ft. What is the elevation of the tip of the spire? (Ignore atmospheric refraction and earth curvature)
At what speed the rule of 25 feet separation between two cars is safe?
the concrete girder supports the two column loads, if the siol pressure under the girder is assumend to be uniform, determine its intensity w and the placement d of the column at B
water from a reservoir is being supplied to a powerhouse that is located at an elevation 935 ft below that of the reservoir surface. Discharging through a nozzle, the water has a jet velocity of 240 fps and a jet diameter of 6 in.
Determine the differential settlement between the centre line of the ring beam and under the centre of beam. The inner and outer radii of the ring beam are 8m and 12m respectively.
You are assigned the task of using bioremediation to cleanup a hazardous waste site contaminated with Tetrachloroethylene. The site is a shallow surficial sandy aquifer 30 feet deep underlain by a clay unit. The depth to the watertable is 10ft.
If the brakes are applied uniformly for 5 sec to bring the rig to a stop from a speed of 20 mph while moving down a 10 percent grade, determine the force P in the coupling between the trailer and the truck. The truck weighs 20,000 lbf and the trai..
The fluids do not mix and the atmospheric pressure is 1.01 x 105 N/m2. Determine the gauge pressure head and the absolute pressure head in metres of water at i depth of 6.6m below the free surface.
A particle which moves with curvilinear motion has coordinates in meters which vary with time t in seconds according to x = 3.3t2 + 3.1t - 5.3 and y = 5.1t - 4.0. Determine the coordinates of the center of curvature C at time t = 1.9 s.
Ends A and D of the two solid steel shafts AB and CD are fixed, while ends B and C are connected to gears. Knowing that a 4-kN(m) torque T is applied to gear B, determine the maximum shearing stress (a) in shaft AB, (b) in shaft CD.
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