Forces & Fields: Calculate Earth's Acceleration, Net Force

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To calculate Earth's acceleration in its orbit around the sun, the radius of the orbit is given as 1.49 x 10^11 m. The gravitational force acting on Earth can be determined using the formula g = GMm/r^2, where G is the gravitational constant, M is the mass of the sun, and m is the mass of the Earth. The average velocity can be calculated by dividing the orbital circumference by the orbital period, which is one year (3.16 x 10^7 seconds). The discussion highlights the importance of recognizing the provided radius to find the necessary values for acceleration and net force. Understanding these calculations is crucial for solving problems related to gravitational forces and orbital mechanics.
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Homework Statement



Forces & Fields
Calculate the acceleration of the Earth in its orbit around the sun and the net force exerted on the Earth.what exerts this force on the earth? Assume that the Earth's Orbit is a circle of radius 1.49*10^11m.

Homework Equations


g=GMm/r2
1 year=3.16*10^7
mass of the Earth = 5.98*10^24kg
radius of the Earth = 6.37*10^6m.

The Attempt at a Solution


I was approaching the question by using the equ. v2(v squared)/r.
but velocity is unknown and the distance between the sun and the earth.:confused:
 
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It's easy to find the speed--it's just distance per unit time.
 
Consider that the magnitude of average velocity (i.e. speed) can be taken as the quotient of distance traveled (orbital circumference) divided by the time (orbital period).
 
But neither the radius or the diameter was was given :| i wa thinking along that line but we don't have that information. is there any other way or is that the only way?
 
In your question you wrote:

"Assume that the Earth's Orbit is a circle of radius 1.49*10^11m."

That's your distance between the sun and the earth.
 
oooooh wow it was right infront of me thanks hage567
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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