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EleoNora [17]
2 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]2 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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An object weighs 60.0 kg on the surface of the earth. How much does it weigh 4R from the surface? (5R from the center)
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"60 kg" is not a weight.  It's a mass, and it's always the same
no matter where the object goes.

The weight of the object is   

                                 (mass) x (gravity in the place where the object is) .

On the surface of the Earth,

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Now, the force of gravity varies as the inverse of the square of the distance from the center of the Earth.
On the surface, the distance from the center of the Earth is 1R.
So if you move out to  5R  from the center, the gravity out there is

                    (1R/5R)²  =  (1/5)²  =  1/25  =  0.04 of its value on the surface.

The object's weight would also be 0.04 of its weight on the surface.

                 (0.04) x (588 Newtons)  =  23.52 Newtons.

Again, the object's mass is still 60 kg out there.
___________________________________________

If you have a textbook, or handout material, or a lesson DVD,
or a teacher, or an on-line unit, that says the object "weighs"
60 kilograms, then you should be raising a holy stink. 
You are being planted with sloppy, inaccurate, misleading
information, and it's going to be YOUR problem to UN-learn it later.
They owe you better material.
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