Question

Saturn is 890,700,000 miles from the Sun. What is this distance in scientific notation? The ratio of miles to meters is 1 mile equals 1.61 x 103 meters. What is this distance in meters? If the speed of light is 3.0 x 108 meters/second, how long does it take for light from the Sun to reach Saturn? Hint: Use the distance in meters to calculate.

Answer 1

Answer:

13 hours, 16 minutes, 41 seconds

Explanation:

Distance of Saturn from the Sun

= 890,700,000 miles

$= 8.907\times 10^8 \: miles\\= 8.907\times 10^8 \times 1.61 \times 10^3 \:meters\\= 14.34027\times 10^{11}\: m\\= 1. 434027\times 10^{12}\: m\\\\\because Time = \frac{Distance}{Speed} \\\therefore Time = \frac{1.434027\times 10^{12}}{3\times 10^8}\\\therefore Time = 4.78009 \times 10^{12-8}\\\therefore Time = 4.78009 \times 10^{4} \:seconds \\\therefore Time = 47800.9 \:seconds\\\therefore Time = 47801 \:seconds\\\therefore Time = 13h\: 16m\: 41s$