Physics, 10.09.2019 19:30 jahnoibenjamin

Light travels at a speed of about 300 000 km/s. a. express this value in scientific notation. b. convert this value to meters per hour. c. what distance in centimeters does light travel in 1 s? 6

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Answer from: Garry123

A. 3.0 × 10⁵ Km/sB. 1.08×10¹² m/hC. 3×10¹⁰ 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

Scientific notation = 3.0 × 10⁵ Km/s

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,

$300000 Km/s =\frac{300000 Km/s * 1000 m/s}{1 Km/s } \\$

300000 Km/s = 300000000 m/s

Finally, we shall convert 300000000 m/s to m/h

1 m/s = 3600 m/h

Thus,

$300000000 m/s = \frac{300000000 m/s * 3600 m/h}{1 m/s}$

300000000 m/s = 1.08×10¹² m/h

Therefore,

300000 Km/s = 1.08×10¹² m/h

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,

$300000 km/s = \frac{300000 km/s * 100000 cm/s }{1 km/s} \\$

300000 km/s = 3×10¹⁰ cm/s

Finally, we shall determine the distance (in cm). This can be obtained as follow:

Speed = 3×10¹⁰ cm/s

Time = 1 s

Distance =?

$Speed = \frac{Distance}{Time}\\\\3*10^{10} = \frac{Distance}{1}$

Cross multiply

Distance = 3×10¹⁰ × 1

Distance = 3×10¹⁰ cm

Therefore, light travels a distance of 3×10¹⁰ cm in 1 second.

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Answer from: liannaswitzer

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

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Light travels at a speed of about 300 000 km/s. a. express this value in scientific notation. b. con...