What would happen to the the 5.98e24 kg Earth?

  • Thread starter sensesfail
  • Start date
  • Tags
    Earth
In summary, if 270 million people in the US jumped in the air at the same time with an average force of 800 N each for 0.10 seconds, the Earth's velocity would be calculated using the equation p(e)=(270e6)*800*0.1, where p(e) represents the Earth's momentum and is equal to the momentum of the people, which is 270 million multiplied by 800 multiplied by 0.1. This calculation results in a velocity of 21,600 m/s for the Earth.
  • #1
sensesfail
8
0

Homework Statement



If 270 million people in the US jumped in the air at simultaneously, pushing off Earth with an average force of 800 N each for a time of 0.10 seconds, what would happen to the the 5.98e24 kg Earth? Show calculation that justifies your answer.

Homework Equations



F = mv/t
p = mv

The Attempt at a Solution



F = 800 N
t = 0.10 s
m = 5.98e24 kg

800 = (5.98e24 * v) / 0.10

v = 1.3378 e -23

p = 5.98e24 * 1.3378e-23
p = 80 kg*m/s
 
Physics news on Phys.org
  • #2
Thats almost right. You forgot the 270 million bit.
 
  • #3
chaoseverlasting said:
Thats almost right. You forgot the 270 million bit.

so do i just times 270 mil by 80?
 
  • #4
Not quite. F=dp/dt, dp=Fdt. Total change in momentum is zero for the system, therefore,
p(e)=p(people).

This gives p(e)=(270e6)*800*0.1. From this you find the velocity of earth.
 

FAQ: What would happen to the the 5.98e24 kg Earth?

What would happen to the Earth if it suddenly stopped rotating?

If the Earth were to suddenly stop rotating, the effects would be catastrophic. The rotation of the Earth creates centrifugal force that counteracts the force of gravity and helps keep the planet in its orbit. Without this force, the Earth would move towards the Sun, causing extreme temperatures and most likely destroying all life on the planet. In addition, the sudden stop of rotation would cause massive earthquakes and tsunamis as the Earth's crust tries to adjust to the change in momentum.

How would the Earth's climate be affected if its tilt changed?

The Earth's tilt, currently at 23.5 degrees, plays a crucial role in determining the planet's climate. If the tilt were to change, the distribution of sunlight on the Earth's surface would also change, resulting in significant shifts in temperature and weather patterns. This could lead to more extreme weather events, such as hurricanes and droughts, and could potentially cause the melting of polar ice caps, leading to a rise in sea levels.

What would happen to the Earth's magnetic field if its core stopped rotating?

The Earth's magnetic field is produced by the rotation of its liquid iron core. If the core were to stop rotating, the magnetic field would weaken significantly, leaving the planet vulnerable to harmful solar radiation and cosmic rays. This could have a detrimental effect on both the environment and living organisms, as well as disrupt communication and navigation systems that rely on the Earth's magnetic field.

How would the Earth's orbit be affected if its mass suddenly changed?

The Earth's orbit is determined by its mass and the gravitational pull of the Sun. If the Earth's mass were to suddenly change, its orbit would also change. If the mass were to increase, the Earth would move closer to the Sun, resulting in higher temperatures and potentially altering the planet's climate. If the mass were to decrease, the Earth would move further away from the Sun, causing lower temperatures and potentially resulting in an ice age.

What would happen to the Earth's atmosphere if its distance from the Sun changed?

The Earth's distance from the Sun, also known as its orbital radius, plays a significant role in determining the planet's climate and weather patterns. If the distance were to change, the amount of sunlight and heat received by the Earth would also change, resulting in significant changes to the planet's atmosphere. This could lead to shifts in temperature, precipitation, and wind patterns, potentially causing widespread changes in the Earth's climate and ecosystems.

Similar threads

Distance of geosynchronous satellite from earth
Replies
4
Views
2K
Tension on a Massive Rope: How to Calculate Tension at Different Points
Replies
11
Views
3K
Leakage of Air in a Spacecraft
Replies
16
Views
388
Weight of person on Earth, and on a different planet's surface?
Replies
11
Views
2K
Circular Motion/Gravitational Acceleration Help Needed
Replies
5
Views
3K
Momentum of a ball bouncing off of the floor
Replies
13
Views
2K
Variation of gravitational attraction between Sun and Earth
Replies
3
Views
2K
Elastic Collision of Hydrogen and Carbon Atoms
Replies
9
Views
2K
Two sphere collision -- What's the speed?
Replies
6
Views
3K
Magnetic flux- is this the correct way to solve it?
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top