1. The foo is define as a unit of force required to accelerate a unit of mass called a bas with the gravitational acceleration on the surface of the moon (m/s^2), which is one-sixth of the normal gravitational acceleration on earth.
(A) what is the conversion factor that would be used to convert a force from the natural unit to the derived unit in this system?(give both numerical value and its units)
(B) what is the weight in foo of a 3-bas object on the moon?
(C) what does the same object weigh in lubbock, texas?
2. A seed crystal of diameter D(mm) is placed in a solution of dissolved salt, and new crystals are observed to form at a constant rate r (crystals/min). Experiments carried out with seed crystals of different sizes show that the rate of formation varies with the seed crystal diameter as: r(crystals/min)= 200D-10D^2
(A) assuming that this is a valid and dimensionally homogenous equation, what are the units of constants 200 and 10?
(B) derive formula for r (crystals/min) in terms of D(inches).
(C) calculate the crystal formation rate in crystals/s corresponding to a crystal diameter of 0.050inch.