- #1
lildrea88
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A woman has a large stone in her yard. She lives at the equator and the date is September 21st. It is midnight and she is thinking of moving the stone. She wants to know, as a fraction of its current weight, how much lighter the stone will be if she waits until noon to move it. Here are some facts you can use to answer her question:
Newton’s law of gravitation says that the force of attraction between two bodies with masses M and m is equal to GMm/r^2 where G is the gravitational constant, and r is the distance between their centers of mass. You may find the following quantities useful and they are even approximately true (at any rate you can treat them as if they are true for this problem).
93000000 miles is the distance from the sun to the Earth (center to center).
The Earth's diameter is 8000 miles.
The mass of the Earth is 1/330000 of the mass of the Sun.
The mass of the stone is whatever it is, if you analyze this correctly, you won’t need to know what it is.
From the diagram that I drew. I know that the mass for the rock is not needed because they will cancel out. But not sure how my formula should look. Can anyone help. **Just a bonus question in which I'm curious about**
Newton’s law of gravitation says that the force of attraction between two bodies with masses M and m is equal to GMm/r^2 where G is the gravitational constant, and r is the distance between their centers of mass. You may find the following quantities useful and they are even approximately true (at any rate you can treat them as if they are true for this problem).
93000000 miles is the distance from the sun to the Earth (center to center).
The Earth's diameter is 8000 miles.
The mass of the Earth is 1/330000 of the mass of the Sun.
The mass of the stone is whatever it is, if you analyze this correctly, you won’t need to know what it is.
From the diagram that I drew. I know that the mass for the rock is not needed because they will cancel out. But not sure how my formula should look. Can anyone help. **Just a bonus question in which I'm curious about**