Question

The international space station travels at a distance of about 250 miles above Earth’s surface and at a speed of 17,500 miles per hour. Even though space dust and debris can be tiny, 1 centimeter or less in size with a mass of 10 grams or less, there is always fear that the space station will sustain damage from a collision with a small piece of space debris.
Why should scientists be concerned about a collision with such a tiny object? Use evidence and scientific reasoning to explain your answer.

Answer 1

Answer:

In this case we are dealing with the pythagorean theorm involving right angled triangles. This theorm states that a^2 + b^2 = c^2 which means the square of the hypotenuse (side c, opposite the right angle) is equal to the square of the remaining two sides.

In this case we will say that a = 3963 miles which is the radius of the earth. c is equal to the radius of the earth plus the additional altitude of the space station which is 250 miles; therefore, c = 4213 miles. We must now solve for the value b which is equal to how far an astronaut can see to the horizon.

(3963)^2 + b^2 = (4213)^2

b^2 = 2,044,000

b = 1430 miles.

The astronaut can see 1430 miles to the horizon.

Explanation:

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