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A 77 g arrow is fired from a bow whose string exerts an average force of 95 N on the arrow over a distance of 81 cm. What is the speed of the arrow as it leaves the bow?

  • physics -

    Mass m = 77 g = 0.077 kg
    Force F = 125 N
    Distance s = 81 cm = 0.81 m
    Speed V = ?
    We know that
    Work done on the arrow = F *s
    =>1/2*m*V^2 =F*s
    =>V = √((2*F*s)/m) = √((2*125*0.81)/(.077)) = 51.28 m/s

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