A 2-kg mass is moving in the positive x direction with speed of 3 m/s. A 3-kg mass is moving in the negative x direction with speed of 2 m/s

Question

A 2-kg mass is moving in the positive x direction with speed of 3 m/s. A 3-kg mass is moving in the negative x direction with speed of 2 m/s. The two masses collide, and after the collision the 2-kg mass is moving in the negative x direction with speed of 3 m/s. a) What is the velocity of the 3-kg mass after the collision

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Cherry 5 months 2021-08-09T16:33:45+00:00 1 Answers 9 views 0

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    2021-08-09T16:34:45+00:00

    Explanation:

    First list the givens: (lets name the objects 1 and 2)

    BEFORE COLLISION

    1:

    mass = 2kg

    velocity = 3 m/s

    Positive direction = —> (moves to the right)

    2:

    mass = 3kg

    velocity = -2 m/s

    Negative direction = <—— (moves to the left)

    AFTER COLLISION:

    Since they bounce off each other, this is an elastic collision.

    1:

    mass = 2kg

    velocity = -3 m/s

    Negative direction <—– (moves to the left)

    2:

    mass = 3kg

    velocity = ?

    Positive direction —–> (moves to the right)

    BEFORE COLLISION:

    (1) —–>     <——(2)

    AFTER COLLISION:

    (1) <——-  ——–> (2)

    Formula to find the velocity of 2 after the collision:

    m1v1 + m2v2 = m1v1 + m2v2

    (2kg)(3m/s) + (3kg)(-2m/s) = (2kg)(-3m/s) + (3kg)v2

    6kgm/s + -6kgm/s = -6kgm/s + 3kgv2

    0 = -6 + 3kgv2

    Add 6 to the other side

    6 = 3kgv2

    Divide 3 to the other side

    6/3 = 2

    v2 = 2

    ANSWER:

    The velocity to the 3kg mass is 2 m/s

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