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 = 6.02 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 95.23" 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. U= mph 2 ALL 7744
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 = 6.02 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 95.23" 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. U= mph 2 ALL 7744
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Question
![Suppose David missed. What distance d would the rock travel
before striking the ground if David released it from a height
of H = 4.55 ft? Assume there is no air friction.
d =
ft](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F262cd611-4487-4529-8206-7cffc01cc837%2F26dfb688-870d-4c0c-abbc-de9d9979f780%2Fckxlz1d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose David missed. What distance d would the rock travel
before striking the ground if David released it from a height
of H = 4.55 ft? Assume there is no air friction.
d =
ft
![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 = 6.02 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
95.23" 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.
U=
Incorrect
mph
$
WAL
7744](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F262cd611-4487-4529-8206-7cffc01cc837%2F26dfb688-870d-4c0c-abbc-de9d9979f780%2Fbebq8wm_processed.jpeg&w=3840&q=75)
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.
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 = 6.02 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
95.23" 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.
U=
Incorrect
mph
$
WAL
7744
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