Question

The mass of Object 2 is double the mass of Object 5. The mass of Object 4 is half of the mass of Object 5 and the mass of Object 3 is half of the mass of Object 4. Which of these statements is correct about Object 2, Object 3, Object 4, and Object 5? A. Object 3 and Object 5 exert the same gravitational force on Object 1. B. Object 2 and Object 4 exert the same gravitational force on Object 1. C. The gravitational force between Object 1 and Object 2 is greater than the gravitational force between Object 1 and Object 4. D. The gravitational force between Object 1 and Object 3 is greater than the gravitational force between Object 1 and Object 5.

Answer 1

This is a great problem if you like getting tied up in knots
and making smoke come out of your brain.

I found that it makes the problem a lot easier if I give the objects some
numbers. I'm going to say that the mass of Object 5 is 20 clods.

Let the mass of Mass of Object 5 be 20 clods .

Then . . .

-- The mass of Object 2 is double the mass of Object 5 = 40 clods.

-- The mass of Object 4 is half of the mass of Object 5 = 10 clods.
and
-- the mass of Object 3 is half of the mass of Object 4 = 5 clods.

So now, here are the masses:

Object #1 . . . . . unknown
Object #2 . . . . . 40 clods
Object #3 . . . . . 5 clods
Object #4 . . . . . 10 clods
Object #5 . . . . . 20 clods .

Now let's check out the statements, and see how they stack up:

Choice-A:
Object 3 and Object 5 exert the same gravitational force on Object 1.
Can't be.
Objects #3 and #5 have different masses, so they can't both
exert the same force on the same mass.

Choice-B.
Object 2 and Object 4 exert the same gravitational force on Object 1.
Can't be.
Objects #2 and #4 have different masses, so they can't both
exert the same force on the same mass.

Choice-C.
The gravitational force between Object 1 and Object 2 is greater than
the gravitational force between Object 1 and Object 4.
Yes ! Yay !
Object-2 has more mass than Object-4 has, so it must exert more force on
ANYTHING than Object-4 does, (as long as the distances are the same).

Choice-D.
The gravitational force between Object 1 and Object 3 is greater than the gravitational force between Object 1 and Object 5.
Can't be.
Object-3 has less mass than Object-5 has, so it must exert less force on
ANYTHING than Object-4 does, (as long as the distances are the same).

Conclusion:
If the DISTANCE is the same for all the tests, then Choice-C is
the only one that can be true.

Answer 2

The gravitational force of an object that has a mass twice that of another object will be twice the other object if the distance separating them is constant.

What is gravitational force?

Gravitational force is the force of attraction with which an objects attracts another object separated from it by a distance.

Gravitational force is proportional to the product of the two masses and inversely proportional to the square of the distance separating them.

The more massive an object is the more its attractive force or gravitational force on another object.

Therefore, an object that has a mass twice that of another object will have twice the gravitational force as the other object if the distance separating them is constant.

Learn more about gravitational force at: https://brainly.com/question/11359658

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