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There are many comets in our solar system. A comet is located at a distance rc = 16 AU from the sun moving at a speed vc = 0.26vE where vE is the average speed of Earth orbital motion. At that particular instant the position vector rc makes an angle ϕ = 68o with velocity vector vc .

a) Determine eccentricity ε of the orbit.

b) If the semi-major axis of the orbit a = 13.7 AU, write the equation of the orbit for the comet.

c) Determine the period of the comet. Can you identify the most probable name for the comet?


Hydraulic engineers in the United States often use, as a units of volume of water, the acre-foot, defined as the volume of water that will cover 1 acre (where 1 acre = 43560 ft2) of land to a depth of 1 ft. A severe thunderstorm dumped 2.1 in. of rain in 30 min on a town of area 43 km2. What volume of water, in acre-feet, fell on the town?


Two satellite s P and Q orbit around the earth The radius of orbit P is four times that of Q.If the period of orbit for Q is T,what is the period for P?


Calculate the period of a sound wave that sustains an intensity of 67w / m2 at an amplitude of 12m considering that its velocity is 34m / s and a fluid density of 89kg / m3.

In what distance will a car skid to a stop on a dry concrete road (µk = 0.7) if its brakes are locked when it is moving at 120 kph?


(talking about the apollo spacecraft, ignore air resistance) if the 28900kg Apollo 9 CSM sprays 2kg of urine out with a velocity of 20 m/s

a. what velocity would this give the spacecraft

b. over a period of 24 hours, by what distance would this change Apollo’s path?


If a faulty liquid-in-glass thermometer registers 103⁰C at steam point and has no zero error, what will it register at 60⁰C?


On a 200 km bike cycle ride, you ride the first 90 km at an average speed of 20m/s. What must your average speed over the next 40 km to be have your average speed for the total 200 km be?

a. 60m/s.

b. Given this average speed for the first 90 km, can you possibly attain an average speed of 80 m/s for the total 200 km ride? Explain.


what is the meaning of temperature?


A cyclist and his bike have a combine mass of 75kg. Find the maximum speed that the cyclist can attain on a level ground when working at a constant rate of 210W. Against a resistance of 21N, with the resistance and rate of working kept constant the cyclist attain an inclination 3.8°. Find the maximum speed of the cyclist up the slope.


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