8. A 2.0 m A 1.0 kg box slides without friction around the loop-the-loop apparatus as shown in the diagram. If

Question

8.
A
2.0 m
A 1.0 kg box slides without friction around the
loop-the-loop apparatus as shown in the
diagram. If the object starts from rest at point A,
and the radius of the loop is 0.75 m, what is the
speed of the box at point B?

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bonexptip 3 years 2021-08-30T21:55:57+00:00 1 Answers 17 views 0

Answers ( )

  1. thongdat2
    0
    2021-08-30T21:57:29+00:00
    Reply

    Answer:

    6.26 m/s

    Explanation:

    From the given information:

    Using the conservation of Energy;

    M.E at A =M.E at B

    \dfrac{1}{2}mv_A^2 + mgh _A = \dfrac{1}{2}mv_B^2 + mgh_B

    Replacing the values given in the equation:

    (1) (9.8) (2 \ m) +\dfrac{1}{2}(0)^2 = 1 \times 9.8 \times 0 + \dfrac{1}{2}(1) \times v_B^2 \\\\ 19.6 + 0 = 0 + 0.5v_B^2\\ \\ v_B^2 = \dfrac{19.6}{0.5} \\ \\ v_B^2 = 39,2 \\ \\ v_B = \sqrt{39.2} \\ \\ \mathbf{v_B = 6.26 \ m/s}

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