An old Biblical story tells of David, a small warrior engaged in man-to-man combat with Goliath, a much larger adversary. In the story, David uses a sling to increase the speed of a projectile (in this case a rock), striking Goliath in the forehead and killing him. The type of sling often used in such combat consists of a long strip of cloth with a pouch halfway down its length. The rock is positioned in the pouch, with the warrior holding both ends of the sling. By whirling the sling in a horizontal circle, a warrior can release one end of the sling, thereby allowing the projectile to fly in a straight line at high speed. Historically, warriors and hunters typically used a vertical circle, but the circle used here is horizontal for simplicity. In this problem, assume that the sling, when unfolded, was roughly R = 5.96 ft in total length and that the rock weighed a half a pound. If David whirled the sling such that the sling was at an angle 0 = 5.13° below the horizontal, with what speed v did the rock strike Goliath? Assume there is no air friction and that the drop in height due to gravity is minimal. mph A typical break shot in pool (the opening shot) is about 20 mph with a ball that is about half the weight of the rock in the story.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.3P: If a projectile is fired from the origin of the coordinate system with an initial velocity υ0 and in...

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Considering this, what impact would a half‑pound rock traveling at the calculated speed likely have on someone if it struck them in the forehead?

A. The impact would likely cause serious injury.

B. The impact would hurt a little but would likely not cause any injury.

Suppose David missed. What distance dd would the rock travel before striking the ground if David released it from a height of H=4.95 ft?H=4.95 ft? Assume there is no air friction.

Can someone help with this? I can't even understand the question. Thanks

An old Biblical story tells of David, a small warrior
engaged in man-to-man combat with Goliath, a much larger
adversary. In the story, David uses a sling to increase the
speed of a projectile (in this case a rock), striking Goliath in
the forehead and killing him.
The type of sling often used in such combat consists of a
long strip of cloth with a pouch halfway down its length.
The rock is positioned in the pouch, with the warrior
holding both ends of the sling. By whirling the sling in a
horizontal circle, a warrior can release one end of the sling,
thereby allowing the projectile to fly in a straight line at
high speed. Historically, warriors and hunters typically used
a vertical circle, but the circle used here is horizontal
for simplicity.

In this problem, assume that the sling, when unfolded, was
roughly R = 5.96 ft in total length and that the rock
weighed a half a pound.
If David whirled the sling such that the sling was at an
angle 0 = 5.13° below the horizontal, with what speed v
did the rock strike Goliath? Assume there is no air friction
and that the drop in height due to gravity is minimal.
mph
A typical break shot in pool (the opening shot) is about
20 mph with a ball that is about half the weight of the rock
in the story.

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