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March 30, 2017

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An archer puts a 0.26-kg arrow to the bow-string. An average force of 200 N is exerted to draw the string back 1.4 m.
(a) Assuming no frictional loss, with what speed does the arrow leave the bow?
m/s
(b) If the arrow is shot straight up, how high does it rise?
m
I got 47 for A
and 113 for B, but neither work?

  • physics - ,

    Work is
    W =F•x =200•1.4 =280 J,
    W =KE = m•v²/2,
    v =sqrt(2•W/m) = sqrt(2•280/0.26) =46.4 m/s.
    KE =PE = m•g•h
    h = KE/m•g = 280/0.26•9.8 ≈110 m.

  • physics - ,

    both of these answers
    a- 280J
    and
    b-46.4m/s
    are wrong?

  • physics - ,

    These answers (v=46.4 m/s, h= 109.89≈110 m) are correct.

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