Earth colliding with sun problem

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In summary, the question asks how long it would take for the Earth to collide with the sun if it suddenly stopped in its orbit. The formula for the period of the Earth's orbit can be used, assuming the sun is a fixed point mass at its center. The velocity of the Earth before stopping is not considered.
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Benzoate
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Homework Statement



If the Earth were suddenly stopped in its orbit, how long would it take for it to collide with the sun?(Regard the sun as a fixed point mass. You may make use of the formula for the period of the Earth's orbit.

Homework Equations



tau=(4*pi^2*R^3/M*G)^.5


The Attempt at a Solution



Should I considered the velocity of the Earth before it came to a halt in its orbit? ; the radius between the two bodies are obviously not fixed. What do they mean when they say regard the sun as a fixed point mass?
 
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Benzoate said:
Should I considered the velocity of the Earth before it came to a halt in its orbit?
It says the Earth stopped, so no.

What do they mean when they say regard the sun as a fixed point mass?
It means just assume all the suns mass is at the centre, you don't have to worry about the mass near the edges of the sun pulling the Earth at a slightly different angle.
It 'probably' also means you work out the time for the centres to collide, not the time for the edge of the Earth to reach the outer edge of the sun.
 

1. What would happen if the Earth collided with the sun?

If the Earth were to collide with the sun, it would be completely destroyed. The sun's immense gravitational pull would cause the Earth to be pulled apart and eventually vaporized.

2. Is there any chance of the Earth colliding with the sun?

No, there is no chance of the Earth colliding with the sun. The Earth is in a stable orbit around the sun and will continue to remain in this orbit due to its speed and distance from the sun.

3. How long would it take for the Earth to collide with the sun?

If the Earth were to suddenly start falling towards the sun, it would take approximately 8 minutes for it to collide. This is the amount of time it takes for light from the sun to reach the Earth.

4. What would happen to the other planets if the Earth collided with the sun?

The other planets in our solar system would continue to orbit the sun as usual. The gravitational pull from the sun would not be affected by the Earth's collision.

5. Can we prevent the Earth from colliding with the sun in the future?

Yes, we can prevent the Earth from colliding with the sun in the future. By monitoring and understanding the Earth's orbit, we can make small adjustments to keep it in a stable orbit around the sun. However, the sun's natural life cycle will eventually cause it to expand and engulf the inner planets, including the Earth.

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