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Answer :
Distance = 1.7 km = 1700 m
Speed of light in a vacuum = 3 x 10⸠m/s
Time = distance / speed
= 1700 / 3 x 10â¸
= 5.67 x 10â»â¶ s
= 5667 nanoseconds.
Speed of light in a vacuum = 3 x 10⸠m/s
Time = distance / speed
= 1700 / 3 x 10â¸
= 5.67 x 10â»â¶ s
= 5667 nanoseconds.
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Rewritten by : Jeany
Final answer:
To determine the time it takes for light to travel 1.70km in a vacuum, we calculate it based on the speed of light and find it takes approximately 5670 nanoseconds.
Explanation:
To find out how many nanoseconds it takes for light to travel a distance of 1.70km in a vacuum, we use the speed of light, which is a constant, 299,792,458 meters per second (or approximately 3.00 × 108 m/s). First, we convert 1.70km to meters, resulting in 1700 meters. The formula to calculate the time taken (in seconds) is Time = Distance / Speed. Therefore, the calculation would be Time = 1700 meters / (3.00 × 108 meters/second) = 5.67 × 10-6 seconds. To get the time in nanoseconds, we convert seconds to nanoseconds by multiplying by 1 billion (since 1 second = 1,000,000,000 nanoseconds), resulting in approximately 5670 nanoseconds.
