A 3 kg object moving at 3 m/s hits a 2 kg object at rest. If they stick together, what is the velocity of the combined mass?

Question

A 3 kg object moving at 3 m/s hits a 2 kg object at rest. If they stick together, what is the velocity of the combined mass?

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Thu Nguyệt 5 years 2021-07-14T03:42:29+00:00 1 Answers 18 views 0

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  1. thienthanh
    0
    2021-07-14T03:43:59+00:00
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    Answer:

    The velocity of the combined mass is 1.8 m/s.

    Explanation:

    We have,

    Mass of object 1, m_1=3\ kg

    Initial speed of object 1, u_1=3\ m/s

    Mass of object 2, m_2=2\ kg

    Initial speed of object 2 is 0. It was at rest initially.

    It is required to find the velocity of the combined mass after the collision, if they stick together. The momentum of the system remains conserved. Using conservation of momentum as :

    m_1u_1+m_2u_2=(m_1+m_2)V

    V is common velocity

    V=\dfrac{m_1u_1}{m_1+m_2}\\\\V=\dfrac{3\times 3}{3+2}\\\\V=1.8\ m/s

    So, the velocity of the combined mass is 1.8 m/s.

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