22.

The mass of the parasitic wasp Caraphractus cintus can be very small. Suppose such a wasp has a mass of 6.91 x 10kg. What is this mass in (a) grams (g). (b) milligrams (mg). and (c) micrograms (urg)? (a) Number i Units (b) Number i Units (c) Number i UnitsConsider the equation v = (1/6)zxt2. The dimensions of the variables v, x, and t are [L/T], [L]. and [T] respectively. The numerical factor 6 is dimensionless. What must be the dimensions of the variable z, such that both sides of the equation have the same dimensions? O 1/[T]2 O [T] O 1/[T] O 1/[T]3The following are dimensions of various physical parameters that will be discussed later on in the text. Here [L], [T], and [M] denote, respectively, dimensions of length, time, and mass. Distance (x) [L] Time (t) [T] Mass (m) [M] Speed (v) [L)[T] Acceleration (a) [L]/IT]2 Force (F) [M][L)/IT]2 Energy (E) [MILL]2/IT]2 Which of the following equations are dimensionally correct? (Click one or more choices.) O F = ma O x = (1/2)at3 O E = (1/2)mv O E = max O v = sqrt(2'Fx/m)Is it possible for two quantities to have the same dimensions but different units? O Yes O No Is it possible for two quantities to have the same units but different dimensions? O Yes O No