How much force I have to apply to throw a stone out of orbit?

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SUMMARY

To throw a 1kg stone out of Earth's orbit, a force greater than 10N can eventually achieve escape velocity if applied for a sufficient duration. Specifically, applying this force continuously for approximately 13 hours will allow the stone to reach the necessary speed of 11.2 km/s. The relationship between force, mass, and acceleration can be described using the equations a = F/m and s = at, which are essential for calculating the required force over time. The energy imparted by a throw can be calculated using the formulas e = mv²/2 for escape energy and e = Fd for energy from a throw.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Familiarity with the concept of escape velocity (11.2 km/s)
  • Basic knowledge of energy equations (e = mv²/2 and e = Fd)
  • Ability to estimate distance covered during a throw
NEXT STEPS
  • Calculate the force required to achieve escape velocity for different masses using F = ma
  • Explore the implications of applying force over time in projectile motion
  • Investigate the mechanics of cannon propulsion and its force output
  • Study the relationship between energy, mass, and velocity in physics
USEFUL FOR

Physics students, aerospace engineers, and anyone interested in the mechanics of projectile motion and escape velocity calculations.

venu madhavan
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I know escape velocity. in order to get out of Earth's orbit the object has to maintain 11.2 km/s speed.

But If I want to throw a 1kg stone out of orbit... how much force I have to apply?
 
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Any force above 10N can eventually get it to escape if you apply it for long enough...do you have any more specifics of the scenario you are interested in?
 
Thank you very much for reply. please tell me this also. how long I have to apply that force... consider a scenario hat I have a stone in my hand.. then How much for I have to apply ? Its Like one time force. I won't apply for long time like rocket...does any object has to maintain its 11.2km/s speed until it gets out of orbit?
 
I got the answer thank you
 
If you applied that force for about 13 hours, you'd reach escape velocity.

So I'm really not sure what you are after, but if you use a=f/m and s=at you can calculate how much speed you'll gain for a certain force over a certain time. Obviously, if you want to apply the force for a short one, you'll need a very large force (like if you want to use a cannon).
 
How much Force please tell me... how much is that very large force? consider of it is a canon tell me please
 
Escape energy for a given mass is given by ##e = \frac{mv^2}{2}## where m is the mass and v is escape velocity.

Energy imparted by a throw from your hand is given by ##e = Fd## where d is the distance covered by your hand during the throw and F is the force that you apply throughout the throw.

You know m and v. You can estimate d. Solve for F.
 
venu madhavan said:
How much Force please tell me... how much is that very large force? consider of it is a canon tell me please
We can't just tell you. It depends on the specifics of the scenario you are interested in, which you haven't told us!
 

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