number 2 There exists an alarming fraction of the US population that believes th
ID: 1466327 • Letter: N
Question
number 2
There exists an alarming fraction of the US population that believes that the Apollo landings on the Moon were faked. One of the arguments they put forth is that the thrusters on descent stage of the Lunar Module had to produce huge amounts of thrust to slow the Lunar Module for a safe touchdown on the Moon, and this should have produced a "blast crater" where the Lunar Module was landing (if not a true blast crater, at least excavated a very noticeable amount of the particulate matter, or regolith, on the lunar surface). The descent phase thrusters on the Apollo missions delimed up to about 45,000 N of thrust but were throttled bock at landing to as little as 10% of this value. The nozzle that delivered this thrust had an area of about 2.0 m^2, so if we use 20% thrust we find a pressure of 4.5 Times 10^3 N/m^2 (try the calculation yourself if you want!). Compare this to the pressure exerted by the paws of a typical housecat standing on Earth, assuming a square paw size of 4.0 cm by 4.0 cm (and remember that the cat has 4 paws!) and a mass of 5.0 kg. Physics should be teaching you useful stuff, so let's hit on some of the basics of purchasing sparkly diamonds. A carat b a unit of mass equivalent to 200 mg. The stone you are considering b 0.75 carats, and you determine its volume to be 2.6 Times 10^-2 cm^3 by submerging it in water. Knowing that diamonds have a density of 3.51 g/cm^3 and cubic zirconia have a density that ranges from about 5.5 to 5.9 g/cm^3, should you buy the particular stone?^1 The atmospheric pressure on the surface of Titan, the largest moon of Saturn, b about 1.47 Times 10^5 Pa and its surface gravity b about 1.35 m/s^2. Titan has oceans of liquid methane. Determine the pressure at a depth of 5.00 m below the surface of a methane ocean on Titan. Note that the density of liquid methane b 415 kg/m^3.b Ferb b working on pimping Meap's ride (his spaceship) and needs a hydraulic jack^2. Meap's ride rests on a piston with a circular cross section where the radius of the circle b 0.500 m. Ferb has to apply a force of 16.0 N to the smaller piston (which has a radius of 2.00 cm) in order to support Meap's ride in the Flynn-Fletcher garage here on Earth. What b the mass of Meap's ride?Explanation / Answer
(number 1) :
The pressure exerted by paws which is given as :
we know that, P1 = F1 / A1
F = force exerted by paw = m g
A = area of the square paw = a2
inserting the values in above eq.
P1= (5 kg) (9.8 m/s2) / (0.04 m)2
P1= (49 N) / (0.0016 m2)
P1= 30625 N/m2
P1= 3.06 x 104 N/m2
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