The distance from the Earth to the sun is approximately 9.37 x 10^7 miles. How long does it take for light from the sun, to reach the earth? Speed of light is 3.00 x 10^8 m/s. Use dimensional analysis to solve.
Convert miles to meters = approx 1.5E11 meters
Then 3E8 m/s x # sec = 1.5E11
Convert to minutes by dividing the answer by 60 sec/min
The distance from the Earth to the sun is approximately 9.37 x 10^7 miles. How long does it take for light from the sun, to reach the earth?
To find the time it takes for light from the sun to reach the Earth, we can use dimensional analysis.
First, let's convert the distance from miles to meters:
9.37 x 10^7 miles = 9.37 x 10^7 miles * 1.61 x 10^3 meters/mile = 1.51057 x 10^11 meters.
Now, we can use the speed of light to find the time it takes:
1.51057 x 10^11 meters / (3.00 x 10^8 meters/second) = 5.035 x 10^2 seconds.
Therefore, it takes approximately 5.035 x 10^2 seconds for light from the sun to reach the Earth.
To find out how long it takes for light from the sun to reach the Earth, we need to know the distance between the two and the speed of light.
Given:
Distance = 9.37 x 10^7 miles
Speed of light = 3.00 x 10^8 m/s
To solve this using dimensional analysis, we'll follow these steps:
Step 1: Convert the distance from miles to meters.
1 mile is approximately equal to 1,609.34 meters.
So, the distance in meters is: 9.37 x 10^7 miles * 1,609.34 meters/mile
Step 2: Divide the distance by the speed of light to get the time.
Time = Distance / Speed of light
Let's calculate it step by step:
Step 1:
Distance(meters) = 9.37 x 10^7 miles * 1,609.34 meters/mile
Distance(meters) ≈ 1.50 x 10^11 meters
Step 2:
Time = (1.50 x 10^11 meters) / (3.00 x 10^8 m/s)
Time ≈ 5.00 x 10^2 seconds
So, it takes approximately 500 seconds for light from the sun to reach the Earth.