Make the following conversions using dimensional analysis. show your work. express your answers in scientific notation. 14.8g = ? µg 3.72g = ? kg 7.5 x 104j = ? kj i just got out the hospital and am currently backed up on schoolwork so and explain so i can understand.

(A)14.8 g → 1.48 × 10^7 µg

The prefix µ means “× 10^(-6)”, so 1 µg = 1 × 10^(-6) g

The conversion factor (CF) = 1 µ g/1 × 10^(-6) g

∴ Mass = 14.8 g × [1 µg/1 × 10^(-6) g] = 1.48 × 10^7 µg

(B)3.72 g → 3.72× 10^(-3) kg

The prefix k means “× 10^3”, so 1 kg = 1 × 10^3 g

CF = 1 kg/1 × 10^3 g

∴ Mass = 3.72 g × [1 kg/1 × 10^3 g] = 3.72× 10^(-3) kg

(C)7.5 × 10^4 J →  75 kJ

CF = 1 kJ/1 × 10^3 J

∴ Energy = 7.5 × 10^4 J × [1 kJ/1 × 10^3 J] = 3.72× 10^(-3) kJ = 7.5 × 10^1 kJ

= 75 kJ

explanation:

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.