A woman's car is stuck in the mud, so she uses a rope to connect the front bumper to a pole, and applies a perpendicular force f on the middle of the rope. The two halves of the rope are displaced through a small angle from the straight line between the ends of the rope. (a) Find an expression for the magnitude of the force acting on the car. (Use f and 8 as necessary.) F= (b) Evaluate the tension (in N) in the rope when 8 = 6.95° and f = 110 N. N

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A woman's car is stuck in the mud, so she uses a rope to connect the front bumper to a pole, and applies a perpendicular force f on the middle of the rope. The two halves of the rope are displaced through a small angle from the straight line between the ends of
the rope.
(a) Find an expression for the magnitude of the force acting on the car. (Use f and 8 as necessary.)
F =
(b) Evaluate the tension (in N) in the rope when 8 = 6.95° and f = 110 N.
N
Transcribed Image Text:A woman's car is stuck in the mud, so she uses a rope to connect the front bumper to a pole, and applies a perpendicular force f on the middle of the rope. The two halves of the rope are displaced through a small angle from the straight line between the ends of the rope. (a) Find an expression for the magnitude of the force acting on the car. (Use f and 8 as necessary.) F = (b) Evaluate the tension (in N) in the rope when 8 = 6.95° and f = 110 N. N
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