Questions asked by Andy Y.

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• Is #y=(2m)*cos(k*x)# dimensionally correct, where #k = 2m^-1#?
  
• Is #2pi*sqrt(l/g)# reducable to a dimension of time?
  
• What are the dimensional units of #A# and #B# if a volume, #V#, is given by the equation #V=A*t^3+B/t#?
  
• If #V=1.5*t+0.0080*t^2# has the units millions of cubic feet per month, how would you rewrite the equation if you wanted the result in cubic feet per second?
  
• Given Newton's gravity formula, #F=G*(M*m)/(r^2)#, what are the SI units of the universal gravity constant, #G#?
  
• How do you convert 8.50 #"in"^3# to #"m"^3#?
  
• What is the area in square meters of a 100 ft #xx# 150 ft rectangular yard?
  
• What is the volume of a #40 " m"xx20 " m"xx12 " m"# room in cubic feet?
  
• What is the weight in pounds of the air in rectangular room of volume #3.39xx10^5 " ft"^3#, given the density of air is #rho_"air"=1.29 " kg"/"m"^3#?
  
• What is the velocity #5.0 " furlongs"/"fortnight"# in #"meters"/"second"#?
  
• If one square mile is 640 acres, how many square meters are there in 1 acre?
  
• How many seconds are there in a year?
  
• How long will it take to cover the moon with spherical miniature meteors, one meter tall, each with a diameter of #1.00xx10^-6# meters, hitting the moon at a rate of 1 meteor per second?
  
• If a gallon of paint covers a #25.0 " m"^2# wall, what is the thickness of the paint?
  
• What is the volume in cubic meters of a pyramid 481 feet tall with a base of 13.0 acres?
  
• If 70% of Earth's surface is water, on average 1 mile deep, what is the mass of the Earth's water in kilograms?
  
• What is the average velocity of a particle, whose position can be determined by #x=10t^2#, from #t_"initial" = 2.0 " s"# to #t_"final"=3.0 " s"# and again, from #t_"initial"=2.0 " s"# to #t_"final"=2.1 " s"#?
  
• If a car travels 200 km at an average velocity of 40 km/hr, and a second car starting 1.0 hour later arrives at the 200 km destination at the same time, what is the average speed of the second car?
  
• How do you use substitution or elimination to solve the system of equations? #2x-3y-z=0#, #3x+2y+2z=2#, and #x+5y+3z=2#
  
• How do you find the vertical, horizontal, and oblique asymptotes of #H(x)=(x^4+2x^2+1)/(x^2-x+1)#?
  
• Does #int_1^oo1/root(3)(x+1)dx# converge or diverge? If it converges, what is the integral?
  
• How do you calculate the mass of the sun, #M_"sun"#, using Kepler's third law (#T^2=(4 pi^2 r^3)/(G M_"sun")#)?
  
• How do you find the position and magnification of a convex mirror?
  
• What are the nuclear reactions required to produce #""_""^239 Pu# from #""_""^238 U# under fast neutron bombardment?
  
• If a car with velocity #100 "km"/"hr"# slams on the brakes with constant deceleration of #10 "m"/("s"^2)#, how far does the car travel before coming to a complete stop?
  
• If a ball is thrown downward from the top of a building with initial velocity of #10 "m"/"s"# and strikes the ground with a speed of #60 "m"/"s"#, how tall is the building?
  
• If a ball is dropped on planet Krypton from a height of #20 " ft"# hits the ground in #2" sec"#, at what velocity and how long will it take to hit the ground from the top of a #200 " ft"#-tall building?