Question

The large active volcano on the moon Io has been observed to send plumes of material upwards to a height of 300 km or more. If the speed of a plume is 1.5 km/second (and ignoring gravity), how many minutes does it take material from the volcano to reach that height?

Answer 1

It takes approximately 3.33 minutes for material from a volcano on Io to reach a height of 300 km at a constant speed of 1.5 km/second.

Step-by-step explanation:

To calculate how many minutes it takes for material from a volcano on Io to reach a height of 300 km with a constant speed of 1.5 km/second, we can use the formula for time, which is time = distance / speed. So, plugging in the values we have:

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Time = 300 km / 1.5 km/second = 200 seconds. Now, to convert the time into minutes, we divide the seconds by 60 (since there are 60 seconds in a minute):

Time in minutes = 200 seconds / 60 = 3.33 minutes.

Therefore, it takes approximately 3.33 minutes for the volcanic material to reach a height of 300 km.

Answer 2

Answer:3.33 minutes

Step-by-step explanation:

The time it takes for material from the volcano on the moon Io to reach a height of 300 km can be calculated by dividing the height by the speed of the plume.

Given that the speed of the plume is 1.5 km/second, and the height is 300 km, we can use the formula:

Time = Height / Speed

Time = 300 km / 1.5 km/s

Calculating this, we get:

Time = 200 seconds

To convert this time into minutes, we divide by 60:

Time = 200 seconds / 60

Calculating this, we get:

Time = 3.33 minutes

Therefore, it would take approximately 3.33 minutes for material from the volcano on the moon Io to reach a height of 300 km, assuming we ignore gravity.