## Question on Momentum, Force and Impulse

Car makers build in many safety features to their cars. Some advertise these features a great deal so that many people will have heard of 'crumple zones' and 'rigid steel safety cage'. Seat belts have also lead to increased safety.

The crumple zone in a car are the engine compartment and the boot. These are designed so that they crumple or collaspe in a serious collison so that the impact is spread over a longer time. The safety cage is a cage of strong steel bars around the passenger space which is hidden in the body of the car.

a) A car of mass 9.00 x 102 kg travelling at 10ms-1 when it skids off the road and into a concrete wall. If the car does not have crumple zones, it is stopped in 0.0500s; if it does have crumple zones, the slowing down process, is 0.900s longer

i) What is the momentum of the car before it hits the wall?
ii) What is the momentum after the collision?
iii) What is the change of momentum?
iv) How big is the force stopping the car if it does not have crumple zones?
v) How big is the force if it does not have crumple zones?

• Momentum: p = mv
• Ft= mv-mu
• F=ma

Momentum before= p = 900 x 10 = 9000kgms

sigh thats all I can do...

I think you're also suppose to use $$\Sigma$$Before = $$\Sigma$$After
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 I think you should think that since an impulsive force has acted on car,we cannot use Conservation of Momentum.The final momentum is $0$. Change in momentum is same in both the cases,but 'rate of change of momentum' is different and thus,the forces are different.