A wagon with two boxes of gold, having total mass 300 kg, is cut loose from the horses by an outlaw when the wagon is at rest 50 m up a 6.0 degree 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 confederates wait. But in a tree 40 m from the canyon edge wait the Lone Ranger (mass 75.0 kg) and Darsh (mass 60.0 kg). They drop vertically into the wagon beneath them. a) If they require 5 seconds to grab the gold and jump out, will they make it before the wagon goes over the edge? 32.25m

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.60P
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A wagon with two boxes of gold, having total mass 300 kg, is cut loose from the horses by an outlaw when the wagon is at rest 50 m up a 6.0 degree 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 confederates wait. But in a tree 40 m from the canyon edge wait the Lone Ranger (mass 75.0 kg) and Darsh (mass 60.0 kg). They drop vertically into the wagon beneath them.

a) If they require 5 seconds to grab the gold and jump out, will they make it before the wagon goes over the edge? 32.25m

Expert Solution
Introduction:

The given parameters in this scenario are:

Total mass of the two boxes in the wagon (M) = 300 kg
Angle of inclination (θ) = 6°
Distance between the tree and the canyon edge (D)=40 m
Length of the slope (l)= 50 m
Time required to grab the gold (t)=5 s
Mass of Lone ranger (m1) = 75 kg
Mass of Tonto (m2) = 60 kg

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