Please help 9.2.1 project in science just ned an example
1 answer:
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Complete Question
Captain Hook is fighting Peter Pan, and they are about to step onto a tightrope strung horizontally between two masts that are 16 m apart. When Pan and Hook are standing exactly halfway between the masts, the rope makes a 3 anglewith the horizontal. The rope has a diameter of 0.02 m and a Youngs modulus of 35 GPa.
What is the combined mass,in kilograms, of Peter Pan and Captain Hook?
Answer:
Their combined mass is
Explanation:
A sketch that describes the question is shown on the first uploaded image
From the question we are told that
The distance apart is
The angle the rope makes is
The diameter of the rope is
The Young modulus is
From the diagram we see that the elongation of the rope can be mathematically evaluated as
And applying SOHCATOH rule
Substituting values
And
The Tension on the rope can be mathematically represented as
Where A is the area and is mathematically represented as
Substituting values
Now Substituting values into the formula for the tension on the rope
From the diagram we can mathematically evaluate the the weight of peter and hook as
Where
Now substituting this into the equation and making m the subject
Substituting values
Note SOHCATOH is
