The earth remains in orbit around the sun due to the force of gravity. How does the force of gravity exerted by the sun on the e
2 answers:
Answer:
The force remains same.
Explanation:
Let the mass of sun is M and the mass of earth is m. The distance between them is d.
According to the Newton's law of gravitation, the force between the two bodies is directly proportional to the product of their masses and inversely proportional to the square of distance between them.
Thus, the force exerted by the sun on earth is equal to the force exerted by the earth on sun are same which is given by
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To increase the centripetal acceleration to , you can double the speed or decrease the radius by 1/4
Explanation:
An object is said to be in uniform circular motion when it is moving at a constant speed in a circular path.
The acceleration of an object in uniform circular motion is called centripetal acceleration, and it is given by
where
v is the speed of the object
r is the radius of the circular path
In the problem, the original centripetal acceleration is
We want to increase it by a factor of 4, i.e. to
We notice that the centripetal acceleration is proportional to the square of the speed and inversely proportional to the radius, so we can do as follows:
- We can double the speed:
v' = 2v
This way, the new acceleration is
so, 4 times the original acceleration
- We can decrease the radius to 1/4 of its original value:
So the new acceleration is
so, the acceleration has increased by a factor 4 again.
Learn more about centripetal acceleration:
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