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Does the earth move when someone jumps on the earth?

Does the earth move when someone jumps on it?

Does the earth move when someone jumps on the earth?
Photo by Glauber Torquato from Pexels

Newton’s third law of force and gravitational force. We can explain the matter with these two formulas of physics. Suppose the person who jumps weighs m=60 kg. When he jumps up and falls to the ground again, the person feels a force towards the earth for the gravitational force (F). The value of this force will be equal to the product of the mass (m) and gravitational acceleration (g) of that person.

F=mg

We know from Newton’s third law of force that any action has an equal and opposite reaction. According to the third law of Newton, we can say that, when the earth tries to pull that person down by attracting him down for the force of gravity, similarly the person will want to pull the huge earth upwards by attracting it in the opposite direction. We never think about that opposite attraction of the earth by that person. We always worry about the person being affected by the force of gravity. But we never think about how the earth is affected by the gravitational force of that person. Under the influence of the force of attraction created by that person, we can find out the acceleration (a) of the earth.

F=Ma
or, a=F/M
or, a=mg/M

here, a= acceleration of the earth, m= mass of that person, M= mass of the earth

we know, M=5.98 X 1024 Kg, m= 60 Kg, g= 9.8 ms-2. Now, let’s solve for the acceleration of the earth ‘a’

a = (60*9.8) / ( 5.98 X 1024 ) = 9.83 *10-23 ms-2

We can see that the gravitational force of that person, even in very small quantities, has caused the acceleration of the earth. Acceleration means a change of velocity over time. Acceleration means a change of velocity of the earth. A change in velocity means a change in the position of the earth. So it can be said that the position of the earth has changed which means the earth has moved. This movement of the earth depends on the mass of that person. The greater the mass of the individual, the greater will be the movement of the earth.

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