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An elevation must be established on a benchmark on an island that is 2536.98 ft from the nearest benchmark on the lake's shore. The surveyor decides to use a total station that has a stated distance measuring accuracy of ±(3mm + 3ppm), and a vertical compensator accurate to within +0.4". The height of instrument was 5.37 ft with an estimated error of +0.05 ft. The prism height was 6.00 ft with an estimated error of +0.02 ft. The single zenith angle is read as 87°05'32". The estimated errors in instrument and target centering are +0.003 ft. If the elevation of the occupied benchmark is 632.27 ft, what is the corrected benchmark elevation on the island? (Assume that the instrument does not correct for earth curvature and refraction.)
A loudspeaker of mass 19.00 is suspended the distance of = 1.80 below the ceiling by two cables that make equal angles with the ceiling. Each cable has the length of = 3.50. What is the tension in each of the cables.
A ball is thrown at an angle of 30.9 degrees above the horizontal at a speed pf 8.77 m/s. What is the vertical component of the ball's velocity
A skier leaves the end of a horizontal ski jump at 22. m/s and falls 3.20 m before landing. how far horizontally does the skier travel in the air before landing
A gun is fired vertically into a 1.40 kg block of wood at rest directly above it. how high will the block rise into the air after the bullet becomes embedded in it
A step-down transformer (turns ratio = 1:8) is used with an electric train to reduce the voltage from the wall receptacle to a value needed to operate the train. What is the current in the primary coil
The sound level of a single vacuum cleaner is about 75dB and a television is about 55dB. What is the sound level number
A spring with spring constant 10N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. What is its the mass of the ball
A pendulum clock is accurate on earth, where the period of its pendulum is 1.00 s. During a 2 h interval, what would be the elapsed time shown on the clock
An asteroid is discovered heading straight toward Earth at 13 . An international team manages to attach a giant rocket engine to the asteroid. The rocket fires for 10 , after which the asteroid is moving at 29 to its original path at a speed of 18..
The following charges are located inside a submarine: 2.80 µC, ?9.00 µC, 27.0 µC, and ?76 µC. Calculate the net electric flux through the hull of the submarine
The charges and coordinates of two charged particles held fixed in the xy plane are: q1=6.00 ?C, x1=6.700 cm, y1=4.600 cm, Find the direction and magnitude of the electrostatic force on q2
two vehicles of equal mass at a 90 degree intersection. If the momentum of vehicle A is 1.20 x 10^5 kg km/h east and the momentum of vehicle is 8.50 x 10^4 kg km/h north, what is the resulting momentum of the final mass
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