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Home >All Categories > Science & Mathematics >Mathematics >Open Question dixon Member since:October 27, 2010Total points:82 (Level 1)Let P be x + y + z = -100 and S = (x^2)/9 + (y^2)/16 + (z^2)/144 = 1. Find a point A on S and B on P such that their distance is the shortest possible. Could more details kindly be furnished? I got a point A on S as (-9/13, -16/13, -144/13).Answer Question

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Home >All Categories > Science & Mathematics >Physics >Open Question VERTREX Member since:April 04, 2010Total points:113 (Level 1)In the design of a passenger bus, it is proposed to derive the motive power
from the energy stored in a flywheel. The flywheel, which has a moment of
inertia of 4.0 x 102 kgm2, is accelerated to its maximum rate of rotation of 3.0 x
103 revolutions per minute by electric motors at stations along the bus route.
a) Calculate the maximum kinetic energy that can be stored in the flywheel.
b) If, at an average speed of 36 kilometres per hour, the power required by the
bus is 20 kW, what will be the maximum possible distance between stations
on the level?Answer Question

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Home >All Categories > Science & Mathematics >Mathematics >Open Question Pera K Member since:March 27, 2011Total points:83 (Level 1)A science project studying catapults sent a projectile into the air with an initial velocity of 24.5 m/s. The formula for distance (s) in meters with respect to time in seconds is
s = -4.9t2 + 24.5t.
Find the time that this projectile would appear to have the maximum distance above ground.Answer Question

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Home >All Categories > Science & Mathematics >Physics >Open Question King Member since:January 21, 2007Total points:80 (Level 1)At what distance from a 21 W electromag-
netic wave point source (like a light bulb) is
the amplitude of the electric field 33 V/m?
All quantities given here are in the SI units.
Answer in units of m.Answer Question

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1. Find the area of the figure.
An equilateral triangle with sides of length 8.

a. 32 square root of 3 units to the 2nd power
b. 12 square root of 3 units to the 2nd power
c. 16 square root of 3 units to the 2nd power
d. 8 square root of 3 units to the 2nd power

2. Find the distance BF for the points B(1,-1) and F(-3,5)

a.distance = 5 square root of 2
b.distance = 13 square root of 2
c. distance = 2 square root of 13
d. distance = 2 square root of 5

3. Find the distance EA for the point E(-8,-2) and A(4,1)

a. distance = 3 square root of 17
b. distance = square root of 21
c. distance = square root of 17
d. distance = 17 square root of 3

4. Find the distance between the pair of points. Round your answers to the neareast hundredth.
(0,0) (5,8)

a. 9.68 units
b. 10.38 units
c. 9.43 units
d. 8.75 units

5. Find the distance between the pair of points. Round to the nearest hundredth
(-1,4) (-6,16)

a. 9.85 units
b. 7.26 units
c. 13 units
d. 17.49 units

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