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DerKrebs [107]
3 years ago
14

The parking brake on a 1000 kg Cadillac has failed, and it is rolling slowly, at 1 mph , toward a group of small children. Seein

g the situation, you realize you have just enough time to drive your 2000 kg Volkswagen head-on into the Cadillac and save the children. You may want to review (Page 269) . Part A With what speed should you impact the Cadillac to bring it to a halt?
Physics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

0.5 mph in the opposite direction

Explanation:

m_1 = Mass of Cadillac = 1000 kg

v_1 = Velocity of Cadillac = 1 mph

m_2 = Mass of Volkswagen = 2000 kg

v_2 = Velocity of Volkswagen

In order to know the speed the system must have the momentum exchange

As the linear momentum of the system is conserved

m_1v_1+m_2v_2=0\\\Rightarrow v_2=-\dfrac{m_1v_1}{m_2}\\\Rightarrow v_2=\dfrac{1000\times 1}{2000}\\\Rightarrow v_2=-0.5\ mph

The speed of the impact is given by 0.5 mph in the opposite direction

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