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Two identical pool balls of 57.15 mm diameter may move freely on a pool table. Ball B is at rest and ball A has an initial velocity v=v0i. (a) knowing that b=50 mm and e=0.7, determine the velocity of each ball after impact. (b) show that if e=1, the final velocities of the balls form a right angle for all values of b.
A radioactive waste from a clinical laboratory contains 0.2 μCi (microcuries) of calcium-45 (45Ca) per liter. The half-life of 45Ca is 152 days.
A specimen of saturated soil has a water content of 145 percent and a total unit weight of 84 pcf. Find the void ratio and specific gravity of solids.
Determine the percent error n in replacing the sine and the tangent of an angle by the value of the angle in radians for angle values 5 degrees, 10 degrees, and 20 degrees. Explain the qualitative difference between the sine and tangent results
The bar is 1m long and its weight, W, acts at its midpoint. The angle is a=30 degrees, and the the spring constant k= 100N/m. The spring in its current position is 1.52m long, and its unstretched length of 1.25 m occurs when the bar is vertical a=..
calculate the amplitude F0 of the sinusoidal excitation force that is necessary to produce a steady-state vibration with a velocity amplitude of 10 m/s at resonance. what is the corresponding amplitude of the acceleration
Assume Stoke's Law holds true for the following question. You are asked to desgin a settling basin. Flow rates are 16 million gallons/day. The basin must be 4m deep, and 4m wide. Particle size ranges from 0.2-50 mm in diameter.
Calculate the compacted cubic yards per hour if a compactor with a 5-ft drum width travels at 3 mph over a 10-in. lift of aggregate base course with 4 passes required to meet density specifications under average operating conditions.
In a certain chemical plant, a closed tank contains ethyl alcohol to a depth of 50 ft. Air at a pressure of 25 psi fills the gap at the top of the tank. Determine the pressure at a closed valve attached to the tank 10 ft above its bottom.
Base isolation technique has become the method of choice for structural design of buildings and bridges located in highly seismic areas in recent years.
The motion of a particle is defined as x=t^2-8t+7 and y=0.5t^2+2t+4, where x and y are in meters and t is in seconds. Determine the magnitude of the smallest velocity reached by the particle, and the time, position, and direction of that velocity.
assume the readings on thermometers are normally distibuted with a mean of 0C and a standard feviation of 1.00C. Find the probability that a radndomly selected thermometer reads greater than 1.23 and draw a sketch of the region.
(a) Use differentiation to find a general expression for the rocket's velocity as a function of time, (b) When is the velocity zero?
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