Answer:
a. 45×10³ kg
b. 1.25 kg
c. 5443200 s
d. 2.69×10⁻⁴ m/s²
e. 2.57×10⁻⁶N
f. 7.48×10⁻³ m /s²
g. 2.45 Pa
h. 10 m/s
Explanation:
The SI units are: kg, m, s, N, K, A, Pa, J and cd
a. 1 g is the mass for 1 cm³. We convert the m³ to cm³
45 m³. 1×10⁶ cm³ / 1 m³ = 45×10⁶ cm³
By the way, 45×10⁶ cm³ = 45×10⁶ g
We convert the g to kg → 45×10⁶ g . 1 kg / 1000 g = 45×10³ kg
b. As 1 g = 1 cm³, we convert the cm³ to g and then, the g to kg
1250 cm³ = 1250 g → 1250 g . 1kg / 1000 g = 1.25 kg
c. 1 day has 24 hours; 1 hour has 60 minutes; 1 minute has 60 seconds
1 hour has 3600 s. Then 24 h . 3600 s / 1 h = 86400 s
86400 s/d. 63 d = 5443200 s
d. 1 min² = 3600 s²
97 cm / 3600 s² = 0.0269 cm/s² / 100 = 2.69×10⁻⁴ m/s²
e. 927 g.cm / min² / 3600 s² = 0.2575 g.cm/s² → dyn
We need to convert dyn to N
1 dyn = 10⁻⁵N → 0.2575 dyn . 10⁻⁵N / 1dyn = 2.57×10⁻⁶N
f. 1 m/s² = 12960 km/h²
12960 km/h² . 1 m/s² / 97 km/h² = 7.48×10⁻³ m /s²
g. 2500 g/cm² . 1kg / 1000 g = 2.5 kg/cm²
1 Pa = 1.02kg/cm²
2.5 kg/cm² . 1 Pa / 1.02 kg/cm² = 2.45 Pa
h. 1 h = 3600 s
36 km / 3600 s = 0.01 km /s → 0.01 km . 1000 m / 1 km = 10
= 10 m/s
