4 significant figures Two persons A and B weighing 152 and 184 lb, respectively,

Question

4 significant figures

Two persons A and B weighing 152 and 184 lb, respectively, jump off a floating platform (in the same direction) with a velocity relative to the platform that is completely horizontal and with magnitude v0 = 6 ft/s for both A and B. The floating platform weighs 765 lb. Assume that A, B, and the platform are initially at rest. Neglecting the water resistance to the horizontal motion of the platform, and knowing that A jumps first, determine the speed of the platform after both A and B have jumped. The speed of the platform is

Explanation / Answer

when A jumps

ma*Va + (mb+M)*V = 0

V = (-152*6)/(184+765) = ?0.961 ft/s

B jumps

mb*Vb +(M*V') = (mb+M)*V

184*6 + 765*V' = (184+765)*-0.961

V' = ?2.6353 ft/s

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