Two space ships collide in deep space. Spaceship P, the projectile, has a mass of 4M, while the target spaceship T has a mass of M. Sp

Question

Two space ships collide in deep space. Spaceship P, the projectile, has a mass of 4M,
while the target spaceship T has a mass of M. Spaceship T is initially at rest and the
collision is elastic. If the final velocity of Tis 8.1 m/s, what was the initial velocity of
P?

in progress 0
Yến Oanh 4 years 2021-08-17T14:17:55+00:00 1 Answers 26 views 0

Answers ( )

  1. vankhanh
    0
    2021-08-17T14:18:55+00:00
    Reply

    Answer:

    The initial velocity of spaceship P was u₁ = 5.06 m/s

    Explanation:

    In an elastic collision between two bodies the expression for the final velocity of the second body is given as follows:

    V_{2} = \frac{(m_{2}-m_{1}) }{(m_{1}+m_{2})}u_{2} + \frac{2m_{1} }{(m_{1}+m_{2})}u_{1}

    Here, subscript 1 is used for spaceship P and subscript 2 is used for spaceship T. In this equation:

    V₂ = Final Speed of Spaceship T = 8.1 m/s

    m₁ = mass of spaceship P = 4 M

    m₂ = mass of spaceship T = M

    u₁ = Initial Speed of Spaceship P = ?

    u₂ = Initial Speed of Spaceship T = 0 m/s

    Using these values in the given equation, we get:

    8.1 m/s = \frac{M-4M }{4M+M}(0 m/s) + \frac{2(4M) }{4M+M}u_{1}

    8.1 m/s = (8 M/5 M)u₁

    u₁ = (5/8)(8.1 m/s)

    u₁ = 5.06 m/s

Leave an answer

Browse

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