which of the following best represents the earths orbital speed around the sun? (hint: the earth travels…

which of the following best represents the earths orbital speed around the sun? (hint: the earth travels about 2.6 million kilometers in one day.)\n\na. 3×10⁴ meters per second\n\nb. 3×10⁴ meters per day\n\nc. 3×10⁴ meters per day\n\nd. 3×10⁴ meters per second

which of the following best represents the earths orbital speed around the sun? (hint: the earth travels about 2.6 million kilometers in one day.)\n\na. 3×10⁴ meters per second\n\nb. 3×10⁴ meters per day\n\nc. 3×10⁴ meters per day\n\nd. 3×10⁴ meters per second

Answer

Explanation:

Step1: Convert kilometers to meters

The earth travels about 2.6 million kilometers in a day. 1 km = 1000 m, so 2.6 million km = 2.6×10⁶×1000 = 2.6×10⁹ m in a day.

Step2: Convert days to seconds

1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds. So 1 day=24×60×60 = 86400 s.

Step3: Calculate the speed in m/s

Speed (v=\frac{d}{t}), where (d = 2.6×10^{9}\text{ m}) and (t = 86400\text{ s}). (v=\frac{2.6\times 10^{9}}{86400}\approx3\times10^{4}\text{ m/s})

Answer:

D. 3×10⁴ meters per second