V= 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. Considering this, what impact would a half-pound rock traveling at the calculated speed likely have on someone someone if it struck them in the forehead? O The impact would likely cause serious injury. The impact would hurt a little but would likely not cause any injury. Suppose David missed. What distance d would the rock travel before striking the ground if David released it from a height of H = 4.75 ft? Assume there is no air friction.
V= 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. Considering this, what impact would a half-pound rock traveling at the calculated speed likely have on someone someone if it struck them in the forehead? O The impact would likely cause serious injury. The impact would hurt a little but would likely not cause any injury. Suppose David missed. What distance d would the rock travel before striking the ground if David released it from a height of H = 4.75 ft? Assume there is no air friction.
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
Transcribed Image Text:V=
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.
Considering this, what impact would a half-pound rock
traveling at the calculated speed likely have on someone
som one
if it struck them in the forehead?
The impact would likely cause serious injury.
O The impact would hurt a little but would likely not
cause any injury.
Suppose David missed. What distance d would the rock travel
before striking the ground if David released it from a height
of H=4.75 ft? Assume there is no air friction.
d =
ft

Transcribed Image Text: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.
O
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 = 5.54 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 = 4.73° below the horizontal, with what speed u did the
rock strike Goliath? Assume there is no air friction and that
the drop in height due to gravity is minimal.
CA
XXX
MALI
Expert Solution

Step 1
We have value of unfold sling = 5.54 ft
Redius = ft
Angle made below horizontal () =4.73°
Value of g= 32 ft/s2
Height =4.75ft
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