F=ma proof and understanding force

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    F=ma Force Proof
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Force is defined as a push or pull, quantified by the equation F=ma, where force equals mass times acceleration. A discussion centered on a ball falling from rest demonstrated that after one second, its velocity is 9.81 m/s, resulting in a force of 9.81 N if the mass is 1 kg. Clarifications were sought regarding the differences between static and dynamic forces, with the consensus that forces are treated similarly regardless of the system's state, as long as the net force is considered. It was emphasized that understanding force requires reference to time, as a force causes a change in velocity. Overall, the conversation highlighted the fundamental principles of force in both static and dynamic contexts.
chandran
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force is a push or pull.

how this push or pull is equal to mass x acceleration.

one more doubt.

a ball is released from rest from the top of a building. initial velocity=0.after 1sec velocity is 9.81m/sec. so acceleration is 9.81m/sqs. so force
that caused the ball to fall from 0 to 1sec is 9.81N considering the mass to be 1kg. from 1second to 2seconds the net force is another 9.81N.
am i correct in the above statements.

Can anybody clarity on force on statics theory and the force referred in dynamics theory.
 
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Let me put in my dear terms.Technical ones.

In the Newtonian formulation of classical mechanics,the second postulate (which is valid in inertial reference frames) says that,for a mechanical system undergoing translation movement (a system of point masses):

\frac{d\vec{p}}{dt}=\sum_{k}\vec{F}_{k}

,where \vec{p} is the total momentum of the system and \vec{F}_{k} are the internal & external forces...

So u can "prove" that
\vec{F}=m\vec{a}

,starting with the II-nd axiom & simplifying hypothesis...

Daniel.

P.S.That acceleration is \left|\vec{g}\right|=9.80665 \ \mbox{ms}^{-2}
 
chandran said:
a ball is released from rest from the top of a building. initial velocity=0.after 1sec velocity is 9.81m/sec. so acceleration is 9.81m/sqs. so force
that caused the ball to fall from 0 to 1sec is 9.81N considering the mass to be 1kg. from 1second to 2seconds the net force is another 9.81N.
am i correct in the above statements.
All correct. Ignoring air resistance, the only force on a falling body is that due to gravity, its weight.

Can anybody clarity on force on statics theory and the force referred in dynamics theory.
Can you restate your question? Whether or not a problem is one of statics or dynamics depends on whether the net force on an object is zero. Zero or not, forces are treated the same way.
 
Well,

I too want to understand the concept of "force".
I find it a bit hard to understand.

1> I don't need proofs. I just need the understanding. :cool:
2> Is 'time' a part of 'force' ?? . Can we talk about force ignoring time ?
 
A force is anything that causes a body to change it's velocity. One can talk about a force acting without reference, however, one cannot define force without reference to time. Essentially unless a body is in equilibrium (no net force), it is not meaningful to talk about force without reference to time.

See this; http://en.wikipedia.org/wiki/Force

~H
 
if a body changes its velocity (momentum), a force has been exerted
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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