Question

Evaluate each of the following to three significant figures and express each answer in SI units using an appropriate prefix: (a) 354 mg (45 km) / (0.0356 kN), (b) (0.00453 Mg) (201 ms), and (c) 435 MN/23.2 mm.

Answer 1

Step-by-step explanation:

(a)

`(354 mg \, 45 km)/(0.0356 kN) = 354 mg * (1 kg)/(10^6 mg) * 45 km * (10^3m)/(1 km) * (1)/(0.0356 kN) * (1 kN)/(10^3 N) = 0.447 (kg \, m)/(N)`

(b)

`0.00453 Mg * 201 ms = 0.00453 Mg * (10^3 kg)/(1 Mg) * 201 ms * (1 s)/(10^3 ms) = 0.911 kg \, s`

(c)

`(435 MN)/(23.2 mm) = 435 MN * (10^6 N)/(1 MN) * (1)/(23.2 mm)  * (10^3 mm)/(1 m) = 18.75 * 10^9 (N)/(m) = 18.75 (GN)/(m)`