Question

On October 17, 2006, the population of the United States reached 300. Million. If all of those people jumped up in the air simultaneously, pushing Earth with an average force of 800. N each for a time of 0.10 s, what would happen to the 5.98 1024 kg Earth? Show a calculation that justifies your answer.

Answer 1

Generally it shows that the Earth will attain a velocity of

`v= 4.0133*10^-15 m/s`

Step-by-step explanation:

From the question we are told that

Total Number N=300

Force=800

Time=0.10s

Weight of Earth
`W=5.98*10^24kg`

Generally the equation for Impulse is Force *Time

`Impulse =Force *Time`

And

`Force *Time=Change\ in\ momentum`

Therefore

`300*10^6*800*0.1 = 5.98*10^24*v`

`v= (300*10^6*800*0.1)/(5.98*10^2^4)`

`v= (2.4*10^1^0)/(5.98*10^2^4)`

`v= 4.01*10^-15 m/s`

Generally it shows that the Earth will attain a velocity of

`v= 4.0133*10^-15 m/s`