To begin, let me tell how I got this question? HOW TO DETERMINE THE WEIGHT OF THE EARTH?I and my friend were discussing and he told that there was a post in fb where teacher is asking the weight of the Earth to the student.So I started to surf on the net.The weight of the earth is approximately about 6 x 1024 Kilograms. After knowing the reason of determining the earth weight , I feel ashamed of India education system as I have completed across these topics and my exposure was very less as I don't have system at home till 12th standard. Now I will share the answer to you.
GRAVITATIONAL FORCE
This will be easy for you to understand.Imagine this scenario, step on the weighing machine (scale) in your room and weigh yourself. Now suppose you take the scale, travel to the moon, and stand on it again.The new number will be about 1/6 of what you weighed on Earth. Finally, imagine traveling out into deep space and weighing yourself once more. You will weigh nothing. From this it clearly depicts that weight is variable because weight is a force that depends on something pulling on you. It is the force of gravity, which depends on the mass of the object that is attracting you.
The answer is simply the below equation
where,
G- constant that is 6.67259 x 10-11 m3/kg s2.
F- force of attraction between them.
R- radius of the Earth ( 6,400,000 meters)
Finding a person mass will only involve counting all of the atoms in his body. Now it turns into a complex problem. It turns out that the rate at which an object accelerates due to the force of gravity, called g depends of the mass of the object doing the pulling.
In the case of Earth, we have:
You can now open your room window and take your scale out of the window and count how many seconds it takes to hit the sidewalk. Then measure the distance from your window to the ground, and you can compute the acceleration of the scale. The answer you will get is 9.8 m s-2. Knowing this value of g for Earth's surface, along with the constant G and the 6,731-kilometer distance to Earth's center, you can then calculate Earth's mass to be 6 x 1024 kilograms.
From this you can calculate the mass of the Earth.
 |
| THE EARTH |
GRAVITATIONAL FORCE
This will be easy for you to understand.Imagine this scenario, step on the weighing machine (scale) in your room and weigh yourself. Now suppose you take the scale, travel to the moon, and stand on it again.The new number will be about 1/6 of what you weighed on Earth. Finally, imagine traveling out into deep space and weighing yourself once more. You will weigh nothing. From this it clearly depicts that weight is variable because weight is a force that depends on something pulling on you. It is the force of gravity, which depends on the mass of the object that is attracting you.
The answer is simply the below equation
where,
G- constant that is 6.67259 x 10-11 m3/kg s2.
F- force of attraction between them.
R- radius of the Earth ( 6,400,000 meters)
Finding a person mass will only involve counting all of the atoms in his body. Now it turns into a complex problem. It turns out that the rate at which an object accelerates due to the force of gravity, called g depends of the mass of the object doing the pulling.
In the case of Earth, we have:
You can now open your room window and take your scale out of the window and count how many seconds it takes to hit the sidewalk. Then measure the distance from your window to the ground, and you can compute the acceleration of the scale. The answer you will get is 9.8 m s-2. Knowing this value of g for Earth's surface, along with the constant G and the 6,731-kilometer distance to Earth's center, you can then calculate Earth's mass to be 6 x 1024 kilograms.
From this you can calculate the mass of the Earth.
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