a trampoline launches a 50kg person 2m into the air. if the springs push with 1960N of force, how much displacement was there in the trampol

Question

a trampoline launches a 50kg person 2m into the air. if the springs push with 1960N of force, how much displacement was there in the trampoline

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Philomena 3 years 2021-07-14T06:51:29+00:00 2 Answers 14 views 0

Answers ( )

  1. RobertKer
    0
    2021-07-14T06:52:39+00:00
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    Answer:

    0.5

    Explanation:

  2. thanhcong
    0
    2021-07-14T06:53:04+00:00
    Reply

    Answer: 0.5 m

    Explanation:

    Given

    Mass of the person is m=50\ kg

    Trampoline launches the person into the air up to height of h=2\ m

    Force experience by springs is F=1960\ N

    Here, the work done on displacing the springs is equivalent to the Potential energy acquired by the person i.e.

    \Rightarrow F\cdot x=mgh\quad [\text{x=displacement of the trampoline}]\\\\\text{Insert the values}\\\\\Rightarrow x=\dfrac{50\times 9.8\times 2}{1960}\\\\\Rightarrow x=\dfrac{980}{1960}\\\\\Rightarrow x=0.5\ m

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