A proton is ejected from the sun at a speed of \(2 \times 10^6 \, \text{m/s}\). How long does it take for this proton to reach Earth? Answer in hours.
Answer (2)
The distance from the Sun to the Earth is 149,600,000 km.
d = 149600000 km = 149600000000 m = 1496 ⋅ 1 0 8 m v = 2 ⋅ 1 0 6 s m t = v d t = 2 ⋅ 1 0 6 s m 1496 ⋅ 1 0 8 m = 748 ⋅ 1 0 2 s = 36 ⋅ 1 0 2 748 ⋅ 1 0 2 h ≈ 20 , 78 h
It takes approximately 20.78 hours for a proton ejected from the Sun at a speed of 2 million m/s to reach Earth. This calculation uses the distance from the Sun to the Earth, which is around 149.6 million km. The calculations involve converting the distance to meters and applying the formula for time using speed.
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