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Admiral_
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This question came up in my physics holiday homework and I can't seem to get the correct answer :(
A 4.0 kg magpie lands in the middle of a perfectly horizontal plastic wire on a clothes line stretched between two poles 4.0 m apart. The magpie lands in the centre of the wire depressing it by a distance of 4.0 cm. What is the magnitude on the tension in the wire?
N/A
Created a triangle with angle theta at the centre of the clothes line with a hypotenuse of 2 m (as its half the clothes line) and the side opposite the angle being 0.04 m (the 4cm depression).
Solving for theta yields 1.146 degrees
Now I have a new triangle (same angle to the horizon though) with the opposite side equal to 40 to represent the upwards tension supporting the bird ( we use g=10...) and solve for the hypotenuse: 10/sin(1.146) = 2.0 x 10^3 N
However the answer in the book is 1000.
Thanks for any help!
Homework Statement
A 4.0 kg magpie lands in the middle of a perfectly horizontal plastic wire on a clothes line stretched between two poles 4.0 m apart. The magpie lands in the centre of the wire depressing it by a distance of 4.0 cm. What is the magnitude on the tension in the wire?
Homework Equations
N/A
The Attempt at a Solution
Created a triangle with angle theta at the centre of the clothes line with a hypotenuse of 2 m (as its half the clothes line) and the side opposite the angle being 0.04 m (the 4cm depression).
Solving for theta yields 1.146 degrees
Now I have a new triangle (same angle to the horizon though) with the opposite side equal to 40 to represent the upwards tension supporting the bird ( we use g=10...) and solve for the hypotenuse: 10/sin(1.146) = 2.0 x 10^3 N
However the answer in the book is 1000.
Thanks for any help!