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skellator
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Location:
Coffs Harbour, NSW
Registered:
November 2004
Re: Physics problem. Thu, 24 March 2005 05:57 Go to previous messageGo to previous message
ok, where to start...

right, so, if you cut it down to the basics, the impact of two exactly the same cars travelling in exactly opposite directions at 50km/h would be the same as if one car hit a solid wall at 100km/h.
but, of course, the wall is not the same as a car. the cars are made of easily shape changing metal (or plastic)

Quote:

As for the original question, if two cars travelling at 50km/h collide head-on the impact will be the same as one car travelling at 50km/h hitting a solid object (eg concrete wall). In other words, hitting another car at the same speed is the same as hitting a solid object.



this is definetely incorrect, have a think about the relative speeds involved for the cars: to car 1, car 2 is travelling at 100km/h

Quote:

Potential energy of the cars;

PE = 0.5*m*V^2



i belive you mean kinetic energy, KE, here?
KE = 1/2m.v^2
PE = m.g.h



to solve this problem, we need to consider the velocity of one car relative to the other. by using vectors (i cant draw them here), we can conclude that car 2 is travelling at 100km/h relative to car 1, and vice versa. note that this is assuming they are travelling at exactly the same velocity (50km/h, opposite direction), ignoring air resistance, and that they are exactly the same car, with the same weight, and no acceleration until the moment of impact (no acceleration or deceleration or change of direction)
assuming the mass of each car is, say, 1000kg, both car's initial velocity is 14m/s (50km/h = 13.9m/s) in opposite directions, the final velocity is 0m/s for both cars, and the time taken for the whole process is 0.5s, we can use newton's 2nd law to find the force exerted on each car:
F = (m.v - m.u)/t
= (1000x14 - 1000x0)/0.5
= 14000/0.5
= 28000 N

for the impact with the wall (assuming it will not move at all), however, the time will be much less, due to the fact that only the car has collapsible parts, where the wall does not, whereas in the collision between two cars, both objects are able to change shape. therefore, we will assume the time for the collision with the wall to be 0.1s. so the force on the car:
F = (m.v - m.u)/t
= (1000x14 - 1000x0)/0.1
= 14000/0.1
= 140000 N

as you can see, the force for the impact with the concrete wall would be much higher than for a collision between two cars


jeez, that would have to be my longest post ever! i hope to never have to do it again Razz

[Updated on: Thu, 24 March 2005 06:29]

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Read Message   Physics problem. SquidThu, 24 March 2005 03:43
Read Message   Re: Physics problem. Corona RT142Thu, 24 March 2005 03:46
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Read Message   Re: Physics problem.  skellatorThu, 24 March 2005 05:57
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Read Message   Re: Physics problem. skellatorThu, 24 March 2005 06:43
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