Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 μm2.0 μm in diameter, and the silk has a Young's modulus of 4.0×109 N/m2.   Assuming that there is no appreciable space between the parallel strands, how many strands ? would be needed to make a rope 8.8 m long that would stretch only 1.10 cm when supporting a pair of 83-kg mountain climbers? ?=   strands Again assuming that there is no appreciable space between the parallel strands, what would be the diameter ? of the rope? ?=   cm

Question
Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 μm2.0 μm in diameter, and the silk has a Young's modulus of 4.0×109 N/m2.
 
Assuming that there is no appreciable space between the parallel strands, how many strands ? would be needed to make a rope 8.8 m long that would stretch only 1.10 cm when supporting a pair of 83-kg mountain climbers?
?=
 
strands
Again assuming that there is no appreciable space between the parallel strands, what would be the diameter ? of the rope?
?=
 
cm

Expert Answer

1 Rating

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in
SciencePhysics

Collisions

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: If a pneumatic cylinder has a volume of 14 cubic inches at 1000 PSIG when the temperature is 85°F an...

A: Pneumatic cylinders are mechanical devices which use the power of compressed gas to produce a force ...

Q: A stone is thrown upward from a bridge at a speed of 10m/s. it narrowly misses the bridge on the way...

A: The expression for the height of the bridge from kinematics equation,

Q: A frictionless gas-filled cylinder is fitted with a movable piston. The block resting on the top of ...

A: Let V1 be the initial volume of the cylinder at temperature T1, as temperature change to T2 the volu...

Q: Find the direction and magnitude of the net force exerted on the point charge q1

A: Consider the axis along the line from charge q1 to q2 to be the positive y-axis and from q1 to q4 to...

Q: A 46-kg box is being pushed a distance of 6.2 m across the floor by a force P→⁢ whose magnitude is 1...

A: Total four forces are acting on the box. The work done due to each force can be calculated in given ...

Q: The figure shows a parallel-plate capacitor with a plate area A = 2.52 cm2 and plate separation d = ...

A: When capacitors are connected in series, the total capacitance is less than any one of the series ca...

Q: A car's bumper is designed to withstand a 4.32-km/h (1.2-m/s) collision with an immovable object wit...

A: Newton’s equation of motion to find the square of final velocity is,

Q: Can you show how to work this please?

A: The ideal gas equation is,

Q: n an Atwoods Machine lab with m1-.l and 2o.13 0bserved acceltraton is 120 mist. Compare the value wi...

A: An Atwood machine is used to demonstrate dynamics where two objects of masses m1 and m2 are connecte...