Two objects collide, one traveling downwards with a mass of 2.0 kg, and the other traveling upwards with a mass of 1.0 kg. Both have speeds

Question

Two objects collide, one traveling downwards with a mass of 2.0 kg, and the other traveling upwards with a mass of 1.0 kg. Both have speeds of 3.0 m/s . They collide head-on and stick together . What will their resultant velocity be?

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Khang Minh 1 month 2021-08-12T13:37:49+00:00 1 Answers 0 views 0

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    2021-08-12T13:38:52+00:00

    Answer:

    -1 m/s

    Explanation:

    From the law of conservation of linear momentum, the sum of initial and final momentum should be equal. Momentum, p is expressed as the product of mass and velocity. Therefore, p=mv where m and v represent mass and velocity respectively. In this case

    m_d v_d+m_u v_u=(m_d + m_u)v_c

    Where subscripts d and u represent downwards and upwards respectively while c is common hence common velocity which is unknown in this case. Taking downwards as negative while upwards as positive then substituting -3 m/s for downward speed while 3 m/s for upward speed, the masses as given then

    (2*-3)+(1*3)=(2+1)v

    V=-1 m/s hence downward direction

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