How Far Does the Earth Move When I Jump Off a Table?

[Paymemoney]

Homework Statement

I have a mass of 65kg. If I jump off a 120-cm-high table, how far toward me does Earth move during the time i fall?

Homework Equations

F=ma

The Attempt at a Solution

Had a shot using f=ma but couldn't get the answer.

P.S

 

[kuruman]

What is the force that you exert on the Earth? Knowing this force, can you calculate the Earth's acceleration?

 

[Paymemoney]

ok, i had another try of this question and i went W=mg which is 68 * 9.8 i get the force 666.4N then what should i do next?

 

[kuruman]

ok, i had another try of this question and i went W=mg which is 68 * 9.8 i get the force 666.4N then what should i do next?

If 666.4 N is the force that the Earth exerts on you, what the force that you exert on the Earth?

 

[Paymemoney]

the same because of Newton's Third Law, so i found the acceleration by doing the following:
Mass of Earth is 5.97 * 10^24 (according to the book)

637 = (5.97 *10^24)a
a=1.06*10^-22 m/s^2

now how do i find how far toward me does Earth move during the time i fall?

 

[kuruman]

the same because of Newton's Third Law, so i found the acceleration by doing the following:
Mass of Earth is 5.97 * 10^24 (according to the book)

637 = (5.97 *10^24)a
a=1.06*10^-22 m/s^2

now how do i find how far toward me does Earth move during the time i fall?

How many seconds does it take you to fall 1.20 m to the surface of the Earth with an acceleration of 9.8 m/s²? In that same amount of time the Earth "falls" towards you with an acceleration of 1.06x10^-22 m/s². Use the kinematic equation to find the distance.

 

[Paymemoney]

thanks i know how to do it now.