Calculate Earth's Orbital Period Around the Sun | Gravitational Problem

In summary, gravitational problems involve the force of gravity and can include various phenomena such as the motion of objects, formation of celestial bodies, and behavior of matter. Examples of gravitational problems include calculating trajectories, understanding planet and star formation, and predicting object behavior in orbit. Gravity is measured using a gravimeter or other methods, and it is different from mass, which refers to the amount of matter in an object. According to Einstein's theory of general relativity, gravity also affects the fabric of space and time, causing phenomena such as gravitational lensing.
  • #1
Demin
4
0

Homework Statement



Whats the Earth's orbital period around the sun if mE=5.98x10^24kg , mS =2x10^30kg,
r = 1.5x10^11


Homework Equations


T^2= kr^3


The Attempt at a Solution



i can figure out the period easily w/ 2 radii + 1 period
 
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  • #2
Assuming that the orbit is circular, use grav force on Earth due to sun is equal to the centrpetal force. Also, T=2pi/omega.
 
  • #3
cant use omega ,,answer has to be in sec not rads :(
 
  • #4
That's why I'd given the relation between T and omega.
 

What is a gravitational problem?

A gravitational problem refers to any situation or phenomenon that involves the force of gravity, which is the force that attracts objects with mass towards each other. This could include problems related to the motion of objects, the formation of celestial bodies, and the behavior of matter in the presence of large masses.

What are some examples of gravitational problems?

Some examples of gravitational problems include calculating the trajectory of a spacecraft, understanding the formation of planets and stars, and predicting the behavior of objects in orbit around a massive body like the Earth.

How is gravity measured?

Gravity is typically measured using an instrument called a gravimeter, which can detect very small changes in the force of gravity. Other methods for measuring gravity include using pendulums and observing the motion of objects in free fall.

What is the difference between weight and mass?

Weight and mass are often used interchangeably in everyday language, but they are actually different concepts. Mass refers to the amount of matter in an object, while weight is a measure of the force of gravity acting on an object. Therefore, an object's mass will remain the same regardless of its location, while its weight may change depending on the strength of gravity.

How does gravity affect time and space?

According to Einstein's theory of general relativity, gravity is not just a force between objects, but it also affects the fabric of space and time. Massive objects, such as planets and stars, create curves in space-time that cause other objects to move along specific paths. This phenomenon is known as gravitational lensing and has been observed in the bending of light from distant stars and galaxies.

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