A wagon with two boxes of gold, having a total mass 300-kg, is cut loose from th

Question

A wagon with two boxes of gold, having a total mass 300-kg, is cut loose from the horses by an outlaw gang while the wagon is at rest 50m up a 6.0º slope as shown. The outlaws plan to have the wagon roll down the slope across the level ground, and fall into the canyon for easy picking. But waiting in a tree 40m from the canyon edge asre the Lone Ranger (mass 75.0kg) and Tanto (mass 65.0kg). They drop vertically onto the wagon as it passes beneath them.

Is the heroes require 5.0s to grab the gold and jump out, will they make their escape before the wagon plunges over the edge? (show work)

Explanation / Answer

h = 50 sin(6.0) = 5.23m mgh = 1/2mv^2 v = 10.1m/s m_c * v_i = m_f * v_f v_f = m_c * v_i / m_f v_f = 6.97m/s * 5s = 34.8m ===> They have enough time

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