light travels at a constant speed of 3x10^11 cm /sec how long does it take light to reach the earth a distance of 1.5x10^8 km give your answer in seconds and minutes.
Your speed of light is 10 times too high.
After you get that right, the time required is distance divided by speed.
I am sure you can convert seconds to minutes. It should be about 8 minutes.
To determine how long it takes for light to reach the Earth, we need to calculate the time it takes for light to travel a distance of 1.5x10^8 km. Here's how we can do it:
1. Convert the distance from kilometers to centimeters:
- 1 km = 10^5 cm (since there are 100,000 centimeters in a kilometer)
- So, 1.5x10^8 km = 1.5x10^8 km * 10^5 cm/km = 1.5x10^8 km * 10^5 cm/km = 1.5x10^13 cm
2. Now, we can use the formula Time = Distance/Speed to calculate the time.
- Distance: 1.5x10^13 cm
- Speed: 3x10^11 cm/sec
Time = 1.5x10^13 cm / 3x10^11 cm/sec = (1.5/3) x (10^13/10^11) sec = 0.5 x 10^2 sec = 50 sec
So, it takes light approximately 50 seconds to reach the Earth.
To convert this time into minutes, we divide by 60 since there are 60 seconds in a minute:
Time (in minutes) = 50 sec / 60 = 0.83 minutes (rounded to two decimal places)
Therefore, it takes light approximately 50 seconds or 0.83 minutes to reach the Earth.