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.

Generally it shows that the Earth will attain a velocity of

Explanation:

From the question we are told that

Total Number N=300

Force=800

Time=0.10s

Weight of Earth

Generally the equation for Impulse is Force *Time

And

Therefore

Generally it shows that the Earth will attain a velocity of

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

option number c is the right answer.