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Sedbober [7]
3 years ago
6

Consider a steel guitar string of initial length L=1.00 meter and cross-sectional area A=0.500 square millimeters. The Young's m

odulus of the steel is Y=2.0×1011 pascals. How far ( ΔL) would such a string stretch under a tension of 1500 newtons?
Mathematics
1 answer:
Goshia [24]3 years ago
8 0

Answer:

15mm

Step-by-step explanation:

we are looking for extension

To get Extension you need the original length and the strain both of which you are given

initial length L = 1.00m

the area A = 0.5mm² = 0.5 mm² = 0.5 x 10⁻⁶ m² ( we are changing to metres squared)

E = 2.0 x 10¹¹ n/m², Young's modulus

P = 1500N, the applied tension

Now to Calculate the stress.

σ = P/A (force/area) = (1500 N)/(0.5 x 10⁻⁶ m²) = 3 x 10⁹ N/m²

Also, Let β =  the stretch of the string.

Then the strain is

ε = β/L (extension/ original length)

By definition, the strain is ε = σ/E = (3 x 10⁹ N/m²)/(2 x 10¹¹ N/m²) = 0.015

Therefore β/(1 m) = 0.015β = 0.015 m = 15 mm

Answer:  15 mm

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borishaifa [10]

Answer:

p, m, n.

Step-by-step explanation:

It is given that,

n=p(m)

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Independent variable : Whose value does not depend on another variable.

Dependent variable : whose value depends on the another variable.

Since the value of n depends on the value of p(m) which is a function of m, therefore n is a dependent variable which depends on the variable m.

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8 0
3 years ago
Need some help with these problems!
LekaFEV [45]

Answer:

<em>h=12, w=24, t=8</em>

Step-by-step explanation:

<u>System of Linear Equations </u>

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being  

w = price of a sweatshirt

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h = price of a pair of shorts

19.

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\displaystyle w=2h

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\displaystyle t=h-4

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

\displaystyle 3w+2h+5t=136

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To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

\displaystyle 3(2h)+2h+5(h-4)=136

Operating

\displaystyle 6h+2h+5h-20=136

\displaystyle 13h=156

Solving for h

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\displaystyle w=2h=24

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Step-by-step explanation

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Step-by-step explanation:

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6 0
2 years ago
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Step-by-step explanation:

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6 0
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