
Originally Posted by
Forest
You are completely wrong.
Kinetic Energy of a moving object = 0.5 * mass * velocity^2
In other words, if you travel at twice the speed then you have four times the kinetic energy.
Let's look at the numbers in your example:
E_k of car = 0.5 * 1,000 (kg) * [26.39 (m/s)]^2 = 348 kJ
E_k of bike = 0.5 * 200 (kg) * [58.61 (m/s)]^2 = 344 kJ
In other words both vehicles have exactly the same amount of energy at impact, and will cause exactly the same amount of damage.
It's quite rich that you who haven't learned - or maybe simply didn't bother - to read in the first place is claiming what I posted is wrong.
I didn't mention energy - I mentioned momentum (equal to the product of velocity and mass). If you want to analyse an impact you will consider the momentum of the involved vehicles. Both momentum and energy are conserved enterties - however energy can dissipate in many different ways: heat, deformation, etc. Momentum however does not dissipate in that manner. This means it is easy to calculate the change of momentum experienced by either party in a collision. Since force is equal to the time-derivative of momentum (F = dp/dt) you can calculate the force excerted during the collision if you can estimate the time that the collision took. And force is what will break your bones and burst your arteries and internal organs.
Once you have established the change in momentum you can then estimate what energy was absorbed as deformation of the vehicles using the conservation of energy. The more the better - it means that the impact took longer time and so the forces involved would have been lower.
If you are in your car you WILL prefer to be hit by a motorcycle at 211 km/h compared to a car at 95 km/h. (The point of impact and other circumstances being the same). If you are travelling in a car (1000 kg) at 100 km/h and have a frontal collision with a bike (200 kg) travelling at 200 km/h you will continue travelling forward at 50 km/h. If you have a collision with another car (1000 kg) travelling at 100 km/h you will come to a complete stop - what do YOU think will hurt the most?
[nerd part]
Conservation of momentum - assuming the vehicles "stick" after the collision. m and v are the mass and velocity of vehicle 1 and M and V are the mass and velocity of vehicle 2 - v' is the velocity of the "compound" body following the impact.
mv + MV = (m+M)v' <=> v' = (mv+MV)/(m+M)
Vehicle 1: m = 200 kg, v = -200 km/h (negative since direction is opposite to vehicle 2).
Vehicle 2: M = 1000 kg, V = 100 km/h.
v' = (200 kg * -200 km/h + 1000 kg * 100 km/h)/(200 kg + 1000 kg) = (60000 kg*km/h)/(1200 kg) = 50 km/h
It is preferential to refrain from the utilisation of grandiose verbiage in the circumstance that your intellectualisation can be expressed using comparatively simplistic lexicological entities. (...such as the word fuck.)
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