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1. A bird is flying with a speed of 18.0 m/s over water when itaccidentally drop

ID: 1737613 • Letter: 1

Question

1. A bird is flying with a speed of 18.0 m/s over water when itaccidentally drops a 2.00 kg fish. Assumig the altitude of the birdis 5.40 m, and disregarding friction, what is the speed of the fishwhen it hits the water?

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2. An olympic high jumper leaps over a horizontal bar. The jumper'scenter of mass is raised 0.25 during the jump. Calculate theminimum speed with which the athlete must leave the ground toperform his feat.

Explanation / Answer

1.) vi = 18 m/s, m = 2 kg, h = 5.4 m, g = 9.8m/s, Ki + Ui = Kf + Uf where K is kinetic energy and U ispotential energy. Ki = (m (vi^2))/2, Ui = mgh, Kf = (m(vf^2))/2, Uf = mg(0) = 0. Ki + Ui = Kf = m((vi^2)/2 +gh) so vf = ((vi^2) + 2gh)