Answer:
The answer to your question is below
Explanation:
Data
light speed = 300 000 km/s
a) Express it in scientific notation
to do it, we just move the decimal point 5 places to the left
300 000 = 3.0 x 10 ⁵ km/s
b) Convert this value to meters per hour
(300 000 km/s)(1000 m/1 km)(3600 s/1 h) = 300000x1000x3600 / 1x1x1
= 1.08 x 10¹² m/h
c) What distance in centimeters does light travel in 1 s?
data
v = 300 000 km/s
d = ?
t = 1 s
formula v = d/t we clear distance d = vxt
d = 300000 x 1 = 300000 km
d = 300000000 m = 30000000000 cm
A. Expression of 300000 km/s in scientific notation.
Scientific notation is a most reliable way of writing a very large or very small number in a convenient way.
To express 300000 km/s in scientific notation, move the decimal point from the last zero number to the non zero number. Include a multiple of 10 raised to power of the number of move as shown below:
Number to express = 300000 Km/s
The Non zero number is => 3
Number of moves = 5
Therefore, the scientific notation of 300000 Km/s is 3.0 × 10⁵ Km/s
B. Converting 300000 Km/s to m/h
We'll begin by converting 300000 Km/s to m/s. This can be obtained as follow :
1 Km/s = 1000 m/s
Therefore,
[tex]300000 Km/s =\frac{300000 Km/s * 1000 m/s}{1 Km/s } \\[/tex]
Finally, we shall convert 300000000 m/s to m/h
1 m/s = 3600 m/h
Thus,
[tex]300000000 m/s = \frac{300000000 m/s * 3600 m/h}{1 m/s}[/tex]
Therefore,
C. Determination of the distance (in cm) travelled in 1 second.
We'll begin by converting 300000 km/s to cm/s.
This can be obtained as follow:
1 km/s = 100000 cm/s
Therefore,
[tex]300000 km/s = \frac{300000 km/s * 100000 cm/s }{1 km/s} \\[/tex]
Finally, we shall determine the distance (in cm). This can be obtained as follow:
Speed = 3×10¹⁰ cm/s
Time = 1 s
[tex]Speed = \frac{Distance}{Time}\\\\3*10^{10} = \frac{Distance}{1}[/tex]
Cross multiply
Distance = 3×10¹⁰ × 1
Therefore, light travels a distance of 3×10¹⁰ cm in 1 second.
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