Erica (38 kgkg ) and Danny (46 kgkg ) are bouncing on a trampoline. Just as Erica reaches the high point of her bounce, Danny is moving upwa

Question

Erica (38 kgkg ) and Danny (46 kgkg ) are bouncing on a trampoline. Just as Erica reaches the high point of her bounce, Danny is moving upward past her at 4.9 m/sm/s . At that instant he grabs hold of her.

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Khang Minh 4 years 2021-08-14T17:25:14+00:00 1 Answers 26 views 0

Answers ( )

  1. thuthuy
    0
    2021-08-14T17:26:25+00:00
    Reply

    Answer:

    The speed with which just after he grabs her is 2.68 m/s.

    Explanation:

    Given that,

    Mass of Erica, m = 38 m/s

    Mass of Danny, m’ = 46 kg

    Erica reaches the high point of her bounce, Danny is moving upward past her at 4.9 m/s. At this moment, the initial speed of Erica will be 0. The momentum will remain conserved. Using the conservation of linear momentum as :

    mu+m'u'=(m+m')V\\\\0+46\times 4.9=(38+46)V\\\\V=\dfrac{225.4}{84}\\\\V=2.68\ m/s

    So, the speed with which just after he grabs her is 2.68 m/s. Hence, this is the required solution.

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