To calculate the approximate time it would take the spaceship to reach Mars, we can use the distance ratio between Mars and the moon.
Given that Mars is about 140 times farther away from Earth than the moon, we can set up the following proportion:
386,400 km (moon distance) : x (Mars distance) = 1 : 140
To find the value of x (Mars distance), we cross multiply:
386,400 km * 140 = x * 1
54,096,000 km = x
Therefore, Mars is approximately 54,096,000 km away from Earth.
Now, let's use the given information that the spaceship took 3 days to reach the moon, which is approximately 386,400 km away. We can set up another proportion to find out how long it would take to reach Mars:
386,400 km (moon distance) : t (time taken to reach Mars) = 1 : 54,096,000 km (Mars distance)
To find the value of t (time taken to reach Mars), we cross multiply:
386,400 km * 54,096,000 km = t * 1
20,933,990,400,000 km = t
Therefore, it would take approximately 20,933,990,400,000 km or 20.9 trillion km to travel from Earth to Mars. Since we are assuming a constant speed, we cannot determine the exact time it would take the spaceship to travel this distance. However, based on the given options, the closest approximation is about 22.5 years.
A human-operated spaceship reaches the moon in 3 days. The moon is about 386,400 km from Earth. Mars, our closest planetary neighbor, is, at its closest, about 140 times farther away from us than the moon if Mars stays in place. Assuming a very simple model of the solar system, about how long would it take that same spaceship to reach Mars?(1 point) Responses about 22.5 years about 22.5 years about 7.5 years about 7.5 years about 2.5 years about 2.5 years about 1 year about 1 year
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