Weightlessness: Gravitational Effects When a > g

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In summary, in an orbit or while in downward motion, astronomers experience weightlessness due to their apparent weight which is calculated as m = (g - a), where g is the acceleration due to gravity and a is the acceleration with which the person is going downwards. If a is greater than g, the bathroom scales would have to be on the ceiling of the lift. The equation for apparent weight does not make sense and the units are incorrect. In an elevator going up, the answer would be different. The force holding a person in place near Earth is relative to mg, while the force from some form of acceleration is represented by ma. In free fall orbit, if a bad guy turns on a powerful magnet, the person may experience a decay
  • #1
scjoshi.007
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while in downward motion or in an orbit astronomers experience weightlessness
their apparent weight (the mass they feel is m = (g - a)
where g is acceleration due to gravity and a is acceleration with which the person is going downwards.
now my question is what will the person feel if a>g?
 
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  • #2
If he is in a falling lift and a is less than g then you are on the right track. His apparent weight would be m(g-a) this is what would be indicated on bathroom scales on the FLOOR of the lift.
If a is greater than g then the bathroom scales would have to be on the ceiling of the lift...this would now become a "floor"
 
  • #3
Your equation doesn't make much sense since it says that [itex]a = g - m[/itex] and the units are wrong since mass is a scalar and acceleration is a vector, rather than the "mass" that they feel it is, as you said previously, their apparent weight (I'm not sure if this was a slip of the tongue but it is a distinction you will need to be comfortable with).
Now if [itex]a>g[/itex] is an interesting question, imagine you're in an elevator going up, what do you think the answer is?

Edit: beaten to it :)
 
  • #4
mg is the force holding you in place...what you feel near Earth is relative to that.

ma is the force from some form of acceleration...maybe an elevator accelerating, maybe a
rocket launching.
 
  • #5
Mg is the force on an object of mass m due to gravity.
Ma is the value of the resultant force on an object of mass m as in
F = ma
 
  • #6
Let us suppose that you are in free fall in orbit and you are wearing a suit made of ferrous materials. A bad guy flies near, hovers below you and turns on a powerful magnet which exerts a force in the same direction as the force due to gravity. What you will experience is a decay in your orbit because your velocity is no longer adequate to keep you at the same distance from the body you were orbiting. If you can turn on your thrusters and increase your tangential velocity to compensate for the additional radial force you'll be back to the same "weightless" feeling but at a different orbital speed.

Regarding what you feel - according to those who do the "weightless" thing which is really free fall without ever hitting the ground, the sensation makes you literally lose your lunch. Nausea is a significant problem in free fall. But otherwise, when you think about it, you can free fall orbit any large body. These bodies do not have the same force due to gravity and you can free fall orbit at different altitudes where the force due to gravity will be larger or smaller, so the sensation will be the same - you'll feel like you are going to puke no matter what g is at that point.

IF you should hit the body of course the value of g and the height from which you fall will determine how hard you hit but free fall with different values of g will just give you a slightly different feel when it first begins but after that it's just floating around in that space station doing your job or hanging out.
 
  • #7
@JHamm dude please see its written m(g-a) up there and not "a (g - m) as u thought it was



hey guys thanks a lot for ur help :)
Είστε το καλύτερο
 
  • #8
scjoshi.007 said:
@JHamm dude please see its written m(g-a) up there and not "a (g - m) as u thought it was
hey guys thanks a lot for ur help :)
Είστε το καλύτερο

[tex]m = g - a[/tex]
[tex]m + a = g - a + a [/tex]
[tex] m + a - m = g +(-1 + 1)a - m = g - m [/tex]
[tex]a + (-1+1)m = a = g - m [/tex]
 

FAQ: Weightlessness: Gravitational Effects When a > g

What is weightlessness?

Weightlessness, also known as microgravity, is the state in which an object or person experiences a sensation of weightlessness due to being in a space environment where the gravitational force is significantly lower than that on Earth.

How does weightlessness affect the human body?

Being in a weightless environment can have various effects on the human body, such as changes in bone density, muscle atrophy, and fluid distribution. Astronauts in space often experience changes in their vision, balance, and cardiovascular system as well.

What causes weightlessness?

Weightlessness is primarily caused by the absence of a normal gravitational force. In space, objects and people are in a constant state of freefall, where the force of gravity is counteracted by the centrifugal force of orbiting around a larger object, such as the Earth.

Can we simulate weightlessness on Earth?

Yes, it is possible to simulate weightlessness on Earth using specialized equipment such as parabolic flight planes, drop towers, and underwater training facilities. These methods can recreate the feeling of weightlessness for short periods of time.

How does weightlessness affect objects other than humans?

Weightlessness can affect objects in various ways, such as causing liquids to form into spheres, making it difficult for objects to stay in place, and altering the behavior of flames. In a weightless environment, objects also experience less resistance and can move more freely.

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