The Voyager 1 spacecraft is currently about 18.5 billion km from the Earth. How long does it take in seconds for a radio signal to get from Voyager 1 to Earth?
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s = 18.5 billion km.
c = 3 x 10^8 m/s.
t = s/c
t = 18.5 billion km / (3 x 10^8 m/s).
t = 61666.667 s
Yaar ye million billion kyu de dete hai confusing
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yes millions and billions is quite confusing
Million billion tak to thik hai, answer exact mangte hain. Lag raha hai jaise copy pen saath mein leke baithe honge calculate karne k liye.
It is widely known that S p e e d = T i m e D i s t a n c e . After a mere substitution, we get that 3 ∗ 1 0 8 m / s = X s 1 8 . 5 ∗ 1 0 9 ∗ 1 0 3 m ⇒ X = 6 1 6 6 7 s .
time = distance/rate
1.85x10^9 km = 1.85x10^13m
t = 1.85x10^13m/ 3x10^8 m/s = 0.6166 x 10^5 = 6.166 x 10^5
just only a simple problem... to get the right answer you must need to know conversion method
18.5 billion km = 18.500.000.000 km = 18.500.000.000.000 m
3x10^8 m/s = 300.000.000 m/s
18.500.000.000.000 m / 300.000.000 ms = 61666.66667 s
time = distance / speed , time = (18.5E12) / 3E8 = 61667.667
We must know if t = s/v, so t = 18.5 x 10^12 m / 3 x 10^8 m/s = 61666,66667 seconds = 6.1667E+4 (ANSWER)
T i m e = S p e e d D i s t a n c e
So, there is Total Distance = 1 8 . 5 ∗ 1 0 9 k m ⟹ 1 8 . 5 ∗ 1 0 1 2 m
And, Speed = 3 ∗ 1 0 8 m / s
So, total time is second it will take = 3 ∗ 1 0 8 1 8 . 5 ∗ 1 0 1 2 ⟹ 6 1 6 6 7 s [approx]
We need to convert 18.5 billion km to seconds. We already have a rate to convert it–the speed of light.
1 8 . 5 × 1 0 9 k m × 3 × 1 0 8 m 1 s e c =
1 8 . 5 × 1 0 9 k m × 3 × 1 0 5 k m 1 s e c =
3 × 1 0 5 1 8 . 5 × 1 0 9 s e c =
3 1 8 . 5 × 1 0 5 1 0 9 s e c =
6 . 1 6 6 7 × 1 0 4 s e c =
6 1 6 6 7 s e c
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First of all , we must change from 1 8 . 5 billion km to m , and we got 1 8 . 5 trillion m
or 1 . 8 5 × 1 0 1 3 m
the question is how long does it take in seconds ,it means we must find "time." ( T )
T = v s , radio signal speed = speed of light so , we can write
T = 3 × 1 0 8 m / s 1 . 8 5 × 1 0 1 3 m
cause the unit must be seconds , we can eliminate meter unit. meter/meter equals 1 so
T = 3 × 1 0 8 1 / s 1 . 8 5 × 1 0 1 3
T = s 1 0 . 6 1 6 6 7 × 1 0 5 , T = 6 1 6 6 7 s , so the answer is 6 1 6 6 7