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# Momentum and kinetic energy.

Wed 8 Mar, 2006 01:01 pm
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Type: Discussion • Score: 0 • Views: 5,979 • Replies: 7
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fresco

1
Wed 8 Mar, 2006 01:20 pm
Force=Rate of change of momentum
= (mv-mu)/t = ma

Energy(= Work) =Force x distance moved

If distance is s then v(sqd)=u(sqd) + 2as
so if u=0, s= v(sqd)/2a

Placing this in the energy expression
Energy = ma x s = ma x v(sqd)/2a = 1/2 mv(sqd)
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markr

1
Wed 8 Mar, 2006 01:20 pm
Neither.

force = mass x acceleration

But, energy and momentum are conserved.
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fresco

1
Wed 8 Mar, 2006 01:24 pm
We should add of course that

momentum = mass x velocity
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coluber2001

1
Wed 8 Mar, 2006 01:49 pm
Yes, but if I fall and my head hits the ground, is it hitting it as Mass x velocity or 1/2 mass x velocity squared? If a bat hits a ball is it hitting it with the force of momentum or kinetic energy? Isn't kinetic energy 1/2mass x velocity squared?
fresco

1
Wed 8 Mar, 2006 02:02 pm
Coluber,

a velocity v
a momentum mv
a force mg (if you fall)
an energy 1/2 mv(sqd)

each of these are dfferent physical combinations in terms of their reducibility to products of the three basic entitities MASS, LENGTH & TIME
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1
Wed 8 Mar, 2006 02:12 pm
Energy and momentum are two separate things (if I recall my physics correctly).

In any system, total momentum and total energy will remain constant. But you calculate each separately.

When your head hits, some momentum will be transferred to the earth. Some kinentic energy will be transferred as well, but some kinetic energy will also be converted to heat (from friction), sound waves, etc.
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justinquintos

1
Mon 5 Jan, 2009 10:30 am
@coluber2001,
if you fall,
a force will hit you equal to 0 - (ur initial momentum) all over the length of time it takes for your momentum to be zero..

work is change in kinetic energy,, so the earth does work on you (negative work)
the distance required to decelerate you to a stop is almost zero coz it's instantaneous.

so the force that will hit you is work/distance... since the distance is very small, the force is large, that explains why it hurts (if you fall at high velocitie)..
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