You are working with a movie director and investigating a scene with a cowboy sliding off a tree limb and falling onto the saddle of a moving horse. The distance of the fall is several meters, and the calculation shows a high probability of injury to the cowboy from the stunt. Let's look at a simpler situation. Suppose the director asks you to have the cowboy step off a platform 2.55 m off the ground and land on his feet on the ground. The cowboy keeps his legs straight as he falls, but then bends at the knees as soon as he touches the ground. This allows the center of mass of his body to move through a distance of 0.670 m before his body comes to rest. (Center of mass will be formally defined in Linear Momentum and Collisions.) You assume this motion to be under constant acceleration of the center of mass of his body. To assess the degree of danger to the cowboy in this stunt, you wish to calculate the average force upward on his body from the ground, as a multiple of the cowboy's weight. (We can assume all the mass of the cowboy is concentrated at the center of mass.)

College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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You are working with a movie director and investigating a scene with a cowboy sliding off a tree limb and falling onto the
saddle of a moving horse. The distance of the fall is several meters, and the calculation shows a high probability of injury to
the cowboy from the stunt. Let's look at a simpler situation. Suppose the director asks you to have the cowboy step off a
platform 2.55 m off the ground and land on his feet on the ground. The cowboy keeps his legs straight as he falls, but then
bends at the knees as soon as he touches the ground. This allows the center of mass of his body to move through a
distance of 0.670 m before his body comes to rest. (Center of mass will be formally defined in Linear Momentum and
Collisions.) You assume this motion to be under constant acceleration of the center of mass of his body. To assess the
degree of danger to the cowboy in this stunt, you wish to calculate the average force upward on his body from the ground,
as a multiple of the cowboy's weight. (We can assume all the mass of the cowboy is concentrated at the center of mass.)
n
mg
Transcribed Image Text:You are working with a movie director and investigating a scene with a cowboy sliding off a tree limb and falling onto the saddle of a moving horse. The distance of the fall is several meters, and the calculation shows a high probability of injury to the cowboy from the stunt. Let's look at a simpler situation. Suppose the director asks you to have the cowboy step off a platform 2.55 m off the ground and land on his feet on the ground. The cowboy keeps his legs straight as he falls, but then bends at the knees as soon as he touches the ground. This allows the center of mass of his body to move through a distance of 0.670 m before his body comes to rest. (Center of mass will be formally defined in Linear Momentum and Collisions.) You assume this motion to be under constant acceleration of the center of mass of his body. To assess the degree of danger to the cowboy in this stunt, you wish to calculate the average force upward on his body from the ground, as a multiple of the cowboy's weight. (We can assume all the mass of the cowboy is concentrated at the center of mass.) n mg
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