Example 1-4 The density of water is 1g/cm2. What is the density of water in MKSs

Question

Example 1-4 The density of water is 1g/cm2. What is the density of water in MKSsy Solution We know that 1 g-103 Kg and 1 cm3-106 m 10 Kg /g 10m 1cm Homework i. How many millimeters are in 20.0 meters? ii. How many square centimeters are in an area 6 km2? iii. The volume of a box is 6.30 m. This is equivalent to how many cu nanometers? 120 Km/h = m/s A car moves with a constant speed of 90 kmhr. Find this speed in terms of mis km/min, and mi/hr (Hint: 1 km = 3281 ft , while 1 mile . 1.609 km). it. v. The term Dimensional Analysis makes use of the idea that dimensions may be treated as algebraic quantities. It helps us to check the relation various quantities either correct or non-correct also, and to: i. Verify Physical Equations ii. Deduce Physical Equations iii. Deduce the dimensions of Physical Constants ship of 2-1 Dimensional Analysis 17

Explanation / Answer

(i)

We know that 1 m = 1000 millimeters

20 m = 20×1000= 20000 mm

(ii)

We know that

1 km = 105 cm

So 6 km2 = 6× 1010 cm2

(iii)

We know that 1 m = 1 ×10-9 nanometers

6.30 m3 = 6.30×(10-9)3= 6.30 × 10-27 nm

(iv)

120 km/h = (120×103)m / (60×60)s = 33.33 m/s

(v) 90 km/h

90 km/h = (90×103)m/3600s = 25 m/s

90 km/h = 90 km/60 min = 1.5 km/min

90km/h = 90×0.621= 55.89 mi/hr

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