# When a rubber is stretched during a tensile test, its elongation is initially proportional to the applied

###### Question:

When a rubber is stretched during a tensile test, its elongation is initially proportional to the applied force, but as it reaches about twice its original length, the force required to stretch the rubber increases rapidly. The force, as a function of elongation, that was required to stretch a rubber specimen that was initially 3cm long.
(a) Curve-fit the data with a forth order polynomial. Make a plot of the data points and the polynomial. Use the polynomial to estimate the force when the rubber specimen was 11.5cm long.
(b) Fit the data with spline interpolation (use MATLAB built-in function interp1). Make a plot that shows the data points and a curve made by interpolation. Use interpolation to estimate the force when the rubber specimen was 11.5cm long
Table 1
Elongation vs. force for rubber during tensile test.
Elongation (cm) Force (KN)
0 0
1.2 0.6
2.4 0.9
3.6 1.16
4.8 1.18
6.0 1.19
7.2 1.24
8.4 1.48
9.6 1.92
10.8 3.12
12.0 4.14
13.2 5.34
14.4 6.22
15.6 7.12
16.8 7.86
18.0 8.42

### The path of a punted football is given by the function: f(x) = (-16/1225)x^2 + (7/5)x + 2.5 where f(x) is the height (in feet)

The path of a punted football is given by the function: f(x) = (-16/1225)x^2 + (7/5)x + 2.5 where f(x) is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted. how long is the punt?...

### One of the reasons for the outbreak of the hundred years' war was the]

One of the reasons for the outbreak of the hundred years' war was the]...

### A ladder leans against the side of a house. The angle of elevation of the ladder is when the bottom of the ladder is from the

A ladder leans against the side of a house. The angle of elevation of the ladder is when the bottom of the ladder is from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth....

### Refer back to United States Population graph in lesson Each line (unit) on the horizontal axis represents:

Refer back to United States Population graph in lesson Each line (unit) on the horizontal axis represents: 20 years all of the above 5 years 10 years...

### What does it mean to “respect the audience”?

What does it mean to “respect the audience”?...

### 2.In which part of the vascular tissue, transportation that is the transportation of soluble products

2.In which part of the vascular tissue, transportation that is the transportation of soluble products of Photosynthesis occurs?​...

### What is the sexual and generates variation in species?

What is the sexual and generates variation in species?...

### What causes scientific knowledge to change over time?A. Living systems are constantly changing, so previous explanationsmay no longer

What causes scientific knowledge to change over time? A. Living systems are constantly changing, so previous explanations may no longer apply. B. Scientists try new ideas to keep their work interesting. O C. New data can lead to a reevaluation of earlier scientific explanations. D. New technology p...

### Your high school freshman class consists of 760 students. in recent years only 4 out 7 students actually graduated in four

Your high school freshman class consists of 760 students. in recent years only 4 out 7 students actually graduated in four years. approximately how many of your classmates are expected to graduate in four years...

### Identify the pun on the word 'bye' how is it used? from twelfth night act 3 scene 1.

Identify the pun on the word "bye" how is it used? from twelfth night act 3 scene 1....

### Select the correct image. Which cell is the most specialized?

Select the correct image. Which cell is the most specialized?...

### Jena gets in an argument with a friend and wants to relax and escape the situation. she starts thinking

Jena gets in an argument with a friend and wants to relax and escape the situation. she starts thinking about smoking marijuana. which stage of the addiction cycle is jena in?...

### Our whole family spent the day at the beach. It was a bright and breezy day, perfect for flying kites. My father held the

Our whole family spent the day at the beach. It was a bright and breezy day, perfect for flying kites. My father held the kite high as I unrolled the cord. I started running across the sparkling sand. The kite rose easily on the wind. My parents cheered. Once aloft, the kite leaped in the air like a...

### How did new ideas create change during the renaissance?

How did new ideas create change during the renaissance?...

### Determine the sign of the sum of -18 + 11. a) positive b) negative c) zero

Determine the sign of the sum of -18 + 11. a) positive b) negative c) zero...

### If the area of the shaded part of ⊙K is 15/2 π, what is the value of x?

If the area of the shaded part of ⊙K is 15/2 π, what is the value of x? $If the area of the shaded part of ⊙K is 15/2 π, what is the value of x?$...

### The inflammatory response can occur on the surface of the body and internally. phagocytes are responsible

The inflammatory response can occur on the surface of the body and internally. phagocytes are responsible for much of the healing that occurs with inflammation. platelets release a growth factor that stimulates endothelial cells to divide, and the wound heals. pus is produced during an inflammatory ...