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

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Homework Help Overview

The problem involves calculating how far the Earth moves when a person jumps off a table, specifically focusing on the interaction between the person's mass and the Earth's mass during the fall.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the force exerted by the jumper on the Earth and explore the implications of Newton's Third Law. There are attempts to calculate the force and acceleration involved in the scenario, as well as questions about the next steps after determining these values.

Discussion Status

The discussion has progressed with participants sharing their calculations and reasoning. Some have provided guidance on how to approach finding the distance the Earth moves during the fall, while others are still exploring the necessary steps to arrive at a solution.

Contextual Notes

Participants are working under the constraints of the problem statement, including the height of the table and the mass of the jumper. There is an ongoing exploration of the time it takes to fall and the corresponding movement of the Earth.

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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
 
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What is the force that you exert on the Earth? Knowing this force, can you calculate the Earth's acceleration?
 
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?
 
Paymemoney said:
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?
 
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?
 
Paymemoney said:
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.
 
thanks i know how to do it now.
 

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