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EleoNora [17]
3 years ago
12

How many orders of magnitude (powers of ten) is the distance to the moon greater than the distance across the Atlantic ocean?

Physics
1 answer:
kupik [55]3 years ago
6 0

Answer:

The distance to the moon greater than the distance across the Atlantic ocean by an order of 1.

Explanation:

We have the average distance across the Atlantic ocean, d_i=3700\ mi

the average distance to the moon, d_m=238,900\ mi

The factor by which the distance to moon is greater than the width of Atlantic ocean:

f=\frac{d_m}{d_i}

f=\frac{238,900}{3700}

f=64.57

i.e.

the distance to the moon greater than the distance across the Atlantic ocean by an order of 1.

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Hi there!

Since the collision is elastic, we must also satisfy the following condition:

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Plug in values and simplify:

0.403315 = 1/2m(vf1² + vf2²)

Simplify further:

3.6665 = vf1² + vf2²

Use the equation derived from momentum above and solve for one variable:

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Plug in this expression for vf2:

3.6665 = vf1² + (1.31 - vf1)²

Expand:

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Simplify:

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Solve for vf1 using a graphing calculator:

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