sbrice54 wrote on 05/10/13 at 07:20:24:So how come the skinny chicks don't move toward me????
Most mathematicians would consider the case of a skinny chick accelerating toward a massive object, say the floor, or a wall or yourself as a collision that is nearly or totally elastic. In the totally elastic collision, the skinny chick loses no kinetic energy in the collision, so her speed after collision is the same as before the collision. Seldom does one consider how conservation of momentum is satisfied in this problem. They should, for the analysis is instructive. Analyzing this may also give some insight into why energy, momentum and the conservation laws took so long to be formulated, since the concepts are subtle.
Consider a skinny chick of mass m colliding elastically with a stationary object of larger mass M such as yourself. Draw the picture before and after the collision. The conservation equations are: mv1 = mv2 + MV2 (1/2)mv12 = (1/2)mv22 + (1/2)MV2 where v1 is the initial velocity of the smaller ball, v2 is its final velocity after collision, and V2 is the velocity of the larger mass after the collision. Multiply the energy equation by 2 to eliminate the (1/2) factors. mv12 = mv22 + MV2 Divide this by m on both sides. v12 = v22 + (M/m)V22 Randomly rearrange = v12 - v22 = (M/m)V22 then Divide the momentum equation by m on both sides = v1 = v2 + (M/m)V2 then rearrange and square both sides = (v1 - v2)2 = (M/m)2V22 . Next multiply by (M/m) and combine with [7] to eliminate V22 = (M/m)(v12 - v22) = (v1 - v2)2 . That leaves a simply step of multiplying both sides by (m/M) = (v12 - v22) = (m/M)(v1 - v2). Logic tells us that we must now take the limit as (m/M) which goes to zero shown as (v12 - v22) = 0 .
Therefore one solution of this attractionless problem is v1 = -v2. Another solution is v1 = v2, corresponding to the case where the two objects do not attract at all.
Solution – this problem of attraction may not necessarily be solved by change in the skinny chicks momentum which could be perpendicular to you, or by affecting only the skinny chicks velocity component (speed velocity). The solution may well involve toothpaste, deodorant, or attire or not.
I hope that I have been helpful in this matter.