Posted by **Arch** on Monday, February 23, 2009 at 10:25am.

If a fist is 25g and it takes 400N of force to crack a board how fast will you have to accelerate your arm to crack the board?

- physics -
**bobpursley**, Monday, February 23, 2009 at 11:06am
Impulse=change of momentum

Force*time=mass*change in velocity

So I guess this assumes the final velocity of the hand is zero. The question is still flawed, however, it should be asking how fast does your hand have to hit the board to crack it?

Acceleration is an entirely different thing.

- physics -
**Dr Russ**, Monday, February 23, 2009 at 11:07am
Use F=ma

remember to convert the mass to kg.

By the way a fist has a mass much greater than 25 g.

- physics -
**drwls**, Monday, February 23, 2009 at 11:11am
I can't imagine a fist weighing only 25 g. That is less than one ounce. Are you sure you copied that problem correctly?

Anyway, the equation to use is F = m a. Solve for a. It is a deceleration, not an acceleration, by the way. Also, it the acceleration of the fist that matters, not the entire arm.

- physics -
**drwls**, Monday, February 23, 2009 at 11:15am
Another thing that is wrong with your question is the implication that all you need is a certain force to break the board. It will depend upon how long the force is applied. There is a complicated problem of dynamic bending involved.

Whatever school district or homeschool/online text you are using does not seem to be doing a good job.

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