300 kg 50 m 6.0° E 40 m to cliff>
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An outlaw cuts loose a wagon with two boxes of gold, of
total mass 300 kg, when the wagon is at rest 50 m up a 6.0° slope. The
outlaw plans to have the wagon roll down the slope and across the level
ground, and then fall into a canyon where his accomplices wait. But
in a tree 40 m from the canyon’s cliff wait the Lone Ranger (mass
75.0 kg) and Tonto (mass 60.0 kg). They drop vertically into the wagon
as it passes beneath them (Fig.). (a) If they require 5.0 s to grab
the gold and jump out, will they make it before the wagon goes over
the cliff? The wagon rolls with negligible friction. (b) When the two
heroes
drop into the wagon, is the kinetic energy of the system of heroes
plus wagon conserved? If not, does it increase or decrease, and by how
much?
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