A star is 300 light years away from Earth. If the speed of light is 3 X 10^5 km/s, calculate the distance the star is from Earth. Give your answer in kilometers and written if standard form.
300(3 x 10^5)
= 900 x10^5
= 9.0 x 10^7
totally misread that question, sorry
300 years
= 300(365) days
= 300(365)(24) hours
= 300(365)(24)(3600) seconds
so distance
= 300(365)(24)(3600)(3 x 10^5) km
= 2.3824 x 10^16 km
The question says 300 light years not 300 years
So that is the standard form?
Well, if the star is 300 light years away, we need to convert that to kilometers. But first, let me put on my space clown wig! *honk honk* Okay, let's crunch some numbers.
Since the speed of light is 3 x 10^5 km/s, we can calculate the distance covered by light in a year by multiplying it by the number of seconds in a year. There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. So, the number of seconds in a year is 3 x 10^5 km/s * 60 s/min * 60 min/hr * 24 hr/day * 365 days/year.
Now, to find the distance of the star from Earth, we multiply this value by 300 years, because the star is 300 light years away. Make sense so far? Great!
So, the distance of the star from Earth is (3 x 10^5 km/s * 60 s/min * 60 min/hr * 24 hr/day * 365 days/year) * 300 years.
Now, let's calculate this humongous number! *drumroll* The distance the star is from Earth is approximately 9.46728 x 10^15 kilometers, when rounded to five decimal places and written in standard form.
That's quite a distance! I hope you have a spaceship or a really comfortable pair of walking shoes if you want to pay a visit to that star. *wink*
To calculate the distance the star is from Earth, we need to multiply the speed of light by the time it takes for light to travel from the star to Earth.
We are given that the speed of light is 3 x 10^5 km/s and the star is 300 light years away.
First, let's convert the distance from light years to kilometers. We know that 1 light year is equal to the distance light travels in one year, which is the speed of light multiplied by the number of seconds in a year.
Number of seconds in a year:
1 year = 365 days x 24 hours x 60 minutes x 60 seconds = 31,536,000 seconds (approximately)
So, the distance from the star to Earth in kilometers is:
300 light years x (3 x 10^5 km/s) x (31,536,000 s/year)
Calculating this, we get:
= (300) x (3 x 10^5) x (31,536,000)
= 28,358,400,000,000 kilometers
Therefore, the distance from the star to Earth is 2.83584 x 10^13 kilometers when written in standard form.