Meagan is running an obstacle course. The tenth obstacle is called the "Spider Climb", where she climbs up the inside of a clear plastic box without any ropes or handholds; contestants wedge themselves between two walls and gain enough traction to suspend themselves. FINISH She is 5'6" (168 cm) tall, and weighs 125lb (550 N). 1 meter=3.28 feet a. In order to get the fastest time of the night Meagan has just one minute to climb thirty-five feet. What average speed does she need, expressed in meters per second? 35 ft b. How large is the force of friction between one of her shoes and the wall, assuming she is symmetrically centered? Assuming that her shoes and the walls have a coefficient of friction H=0.7 , how hard must she be pushing perpendicular against each wall to hold herself in place without slipping? c. If she can push outwards with 250lb (1100 N), with H 0.7 what is the largest upwards acceleration she can produce before her feet slip?
Meagan is running an obstacle course. The tenth obstacle is called the "Spider Climb", where she climbs up the inside of a clear plastic box without any ropes or handholds; contestants wedge themselves between two walls and gain enough traction to suspend themselves. FINISH She is 5'6" (168 cm) tall, and weighs 125lb (550 N). 1 meter=3.28 feet a. In order to get the fastest time of the night Meagan has just one minute to climb thirty-five feet. What average speed does she need, expressed in meters per second? 35 ft b. How large is the force of friction between one of her shoes and the wall, assuming she is symmetrically centered? Assuming that her shoes and the walls have a coefficient of friction H=0.7 , how hard must she be pushing perpendicular against each wall to hold herself in place without slipping? c. If she can push outwards with 250lb (1100 N), with H 0.7 what is the largest upwards acceleration she can produce before her feet slip?
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Transcribed Image Text:Meagan is running an obstacle course. The tenth obstacle is called the
"Spider Climb", where she climbs up the inside of a clear plastic box
without any ropes or handholds; contestants wedge themselves between two
walls and gain enough traction to suspend themselves.
FINISH
She is 5'6" (168 cm) tall, and weighs 125lb (550 N).
1 meter=3.28 feet
a. In order to get the fastest time of the night Meagan has
just one minute to climb thirty-five feet.
What average speed does she need, expressed in meters per second?
35 ft
b. How large is the force of friction between one of her shoes and
the wall, assuming she is symmetrically centered?
Assuming that her shoes and the walls have a coefficient of friction
Hs=0.7
wall to hold herself in place without slipping?
how hard must she be pushing perpendicular against each
c. If she can push outwards with 250lb (1100 N), with H=0.7
what is the largest upwards acceleration she can produce
before her feet slip?
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