The parking brake on a 1000 kg cadillac has failed, and it is rolling slowly, at 5 mph , toward a group of small children. seeing the situation, you realize you have just enough time to drive your 2000 kg volkswagen head-on into the cadillac and save the children. part a with what speed should you impact the cadillac to bring it to a halt?

To solve this problem we will apply the concepts related to the conservation of the Momentum. The initial momentum must be equal to the final momentum. Momentum is described as the product between body mass and its respective velocity. Since there is no movement at the end of the collision, the final momentum will be zero.

Our values are given as

Mass of Cadillac

mass of VW

Let VW impact with speed v, then for conservation of momentum

the Final speed is zero

Replacing,

Therefore the speed to bring the cadillac to a halt is 2.5mph

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