A car is traveling at 35 m/s when it collides head-on with another vehicle (m = 2500 kg) traveling in the opposite direction. In the collisi

Question

A car is traveling at 35 m/s when it collides head-on with another vehicle (m = 2500 kg) traveling in the opposite direction. In the collision, the two vehicles come to a halt. At what speed was the 2500 kg vehicle traveling? (mass of the car is 1180 kg)

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Hồng Cúc 4 years 2021-07-21T20:04:20+00:00 1 Answers 10 views 0

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    2021-07-21T20:05:59+00:00

    Answer:

    The second car was traveling at a speed of 16.52m/s

    Explanation:

    This type of collision is an inelastic collision when the total kinetic energy of the collision is conserved or when the bodies stick together

    Given that

    Mass m1=1180kg

    m2=2500kg

    u1=35m/s

    u2=?

    Since they came to an halt after collision v1= v2=v=0

    Momentum before collision

    =m1u1+m1u2

    Momentum after collision

    =(m1+m2) v

    According to the principle

    =m1u1+m1u2=(m1+m2)v

    To find the initial velocity of the second car let us substitute this data into the expression

    1180*35+2500*u2=(1180+2500)0

    41300+2500u2=0

    u2=41300/2500

    u2=16.52m/s

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