A 4 kg mass is moving at 8 m/s collides with a 2 kg mass moving at 5 m/s. After the collision, both objects stick together, what is th

Question

A 4 kg mass is moving at 8 m/s collides with a 2 kg mass moving at 5 m/s.
After the collision, both objects stick together, what is the velocity of the
two cars? *

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King 5 years 2021-08-31T01:24:55+00:00 1 Answers 15 views 0

Answers ( )

  1. kimcuc
    0
    2021-08-31T01:26:28+00:00
    Reply

    Answer:

    V = 7 m/s

    Explanation:

    Given that,

    Mass 1, m₁ = 4 kg

    Speed of the object 1, v₁ = 8 m/s

    Mass 2, m₂ = 2 kg

    Speed of object 2, v₂ = 5 m/s

    After the collision, both objects stick together. Let V be the common velocity. Using the conservation of linear momentum to find it.

    m_1v_1+m_2v_2=(m_1+m_2)V\\\\V=\dfrac{m_1v_1+m_2v_2}{m_1+m_2}\\\\V=\dfrac{4(8)+2(5)}{4+2}\\\\V=7\ m/s

    So, the velocity of two cars is 7 m/s.

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