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You are in charge of the construction site of a new dam. Extremely heavy rainfall starts and Bureau of Meteorology hydrologists tell you that beginning at about 8 AM, 2 GL per hour (2 x 10^6 meters^3 per hour) will flow into the dam. The lake behind the dam has approximately vertical walls and a surface area of 1 x 10^6 meters^. At 8 AM, you measure the water level behind the dam: it is 6.5 m below the top of the incomplete dam, and if it overflows, it could sweep away construction equipment on the top. Water from the lake is draining freely and steadily through the dam’s diversion tunnel. The short, horizontal diversion tunnel is 3 m in diameter, has its centerline 40 m below the top of the incomplete dam, and exits to atmospheric pressure. How much time have you got to move equipment from the top before it overflows?[Hint: First, draw a diagram, then derive a formula for the time the water takes to reach a given height, then put in the numbers.]
The most abundant isotope of lithium, Li-7, contains three protons and four neutrons and has a mass of 7.01600 u. What is the mass defect for this nucleus in atomic mass units
A polar explorer pulls a sled on dry snow (the coefficient of kinetic friction is 0.12 for sled on snow). The rope attached to the sled pulls at an angle of 9° above the horizontal and the explorer pulls with with 600 N of force. The sled has a to..
The density of gasoline at 0 degrees celsius is 0.68E3 kg/m^3. What is the density on a hot day when the temperature is 35 degrees celsius
A door has mass M, width W, and height H. It is attached to a door frame by only two hinges: one at 5H/6 (the top hinge) and one at H/6 (the bottom hinge). Calculate the force that the door frame exerts on each hinge
A muscle builder holds the ends of a massless rope. At the center of the rope, a 7.9 kg ball is hung as shown. What is the tension in the rope
Carbon disulfide (n=1.63) is poured into a container made of fused quartz (n=1.46). What is the critical angle for internal reflection of a ray in the liquid
1. calculate the dc voltage applied to the 10 ? load resistor in the circuit shown below assume the diode threshold
A 1480{\rm kg} car pulls a 320{\rm kg} trailer. The car exerts a horizontal force of 3900{\rm N} against the ground in order to accelerate. What force does the car exert on the trailer
You are pushing a refrigerator across the floor of your kitchen. You exert a horizontal force of 273 N for 7.2 s, What is the work done by friction
A solid, uniform ball of mass 14.3 kg , and radius 0.21m , rolls without slipping up a hill of height 29.4m , How long is the ball in the air
A 270 m wide river flows due east at a uniform speed of 2.30 m/s. A boat with the speed of 8.4 m/s relative to water leaves the south bank pointed in a direction 38o west of north. What is (a) magnitude and (b) direction of the boat's velocity rel..
If you were to build a pipe organ with open-tube pipes spanning the range of human hearing (20 Hz to 20 kHz), what would be the range of the lengths of pipes required
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