An object of mass 2.95 kg, moving with an initial velocity of 5.02 i hat m/s, collides with and sticks to an object of mass 2.62 kg with an

Question

An object of mass 2.95 kg, moving with an initial velocity of 5.02 i hat m/s, collides with and sticks to an object of mass 2.62 kg with an initial velocity of -3.63 j m/s. Find the final velocity of the composite object.

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Ngọc Diệp 6 months 2021-08-13T17:42:08+00:00 1 Answers 4 views 0

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    2021-08-13T17:43:36+00:00

    Answer:

    The final velocity of the composite object is 3.14 m/s.

    Explanation:

    Given that,

    Mass of object 1, m_1=2.95\ kg

    Initial speed of object 1, u_1=5.02i\ m/s

    Mass of object 2, m_2=2.62\ kg

    Initial speed of object 2, u_2=-3.63j\ m/s

    The two objects stick together. The momentum of two objects before and after remains constant. Let V is the final velocity of the composite object. using the conservation of linear momentum as :

    m_1u_1+m_2u_2=(m_1+m_2)V\\\\V=\dfrac{m_1u_1+m_2u_2}{m_1+m_2}\\\\V=\dfrac{2.95\times 5.02i+2.62\times (-3.63)j}{2.95+2.62}\\\\V=\dfrac{14.809i-9.5106j}{5.57}\\\\V=(2.65i-1.7j)\ m/s\\\\|V|=\sqrt{2.65^2+1.7^2} \\\\|V|=3.14\ m/s

    So, the magnitude of final velocity of the composite object is 3.14 m/s.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )