Answer:
A) 7.9 x 10⁶ inches
B) 1004 g
C) 2.8 x 10³ inches/ min
D) 1.2 x 10⁻⁴ mm
Explanation:
A) Since 39.37 inches = 1 m, you can convert meters to inches by multiplying by the conversion factor (39.37 inches / 1 m).
Notice that if 39.37 inches = 1 m then 39.37 inches / 1 m = 1. That means that when you multiply by a conversion factor, you are only changing units since it is the same as multiplying by 1 :
2.0 x 10⁵ m * (39.37 inches / 1 m) = 7.9 x 10⁶ inches
B) Conversion factors : (2.205 pounds / 1 kg) and (453.59 g / 1 pound), because 2.205 pounds = 1 kg and 1 pound = 453.59 g. Then:
1.004 kg * ( 2.205 pounds / 1 kg) * ( 453.59 g / 1 pound) = 1004 g
C) Conversion factor: (39.37 inches / 1 m) and (60 s / 1 min)
1.2 m/s * (39.37 inches / 1 m) * ( 60 s / 1 min) = 2.8 x 10³ inches/ min
D)Converison factor ( 1 mm / 1 x 10⁶ nm):
120 nm (1 mm / 1 x 10⁶ nm) = 1.2 x 10⁻⁴ mm
Answer:
A. [tex]7.9x10^6in[/tex]
B. [tex]1004g[/tex]
C. [tex]2834.64\frac{in}{min}[/tex]
D. [tex]1.2x10^{-4}mm[/tex]
Explanation:
Hello,
In this case, we use the proportional factors to obtain the required conversions as shown below:
A. We consider the given data:
[tex]2.0x10^5m*\frac{39.37in}{1m} =7.9x10^6in[/tex]
B. It is not necessary to use the given data referred to pounds:
[tex]1.004kg*\frac{1000g}{1kg}=1004g[/tex]
C. We consider that 1 meter es equivalent to 39.37 inches and 1 min to 60 seconds:
[tex]1.2\frac{m}{s}*\frac{39.37in}{1m} *\frac{60s}{1min}=2834.64\frac{in}{min}[/tex]
D. We consider that 1nm is equivalent to 1x10⁻⁹m and 1mm to 1x10⁻³:
[tex]120nm\frac{1x10^{-9}m}{1nm}*\frac{1mm}{1x10^{-3}m} =1.2x10^{-4}mm[/tex]
Best regards.
