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11111nata11111 [884]
3 years ago
10

A steel bar is 10 mm diameter and 2 m long. It stretched with a force of 20 kN and extends by 0.2 mm. Calculate the stress and s

train. What is the Young’s modulus of the steel bar?
Business
1 answer:
Firlakuza [10]3 years ago
7 0

Answer:

2.5 * 10^12 Nm-2

Explanation:

Stretching force = 20 * 10^3 N

diameter = 10 * 10^-3 m

extension = 0.2 * 10^-3 m

length of bar = 2m

Young Modulus = stress/strain

stress = Force/Area

Strain = extension/length

Young Modulus = Force/Area/extension/length

But area = πr^2 = 3.142 * (5 *10^-3)^2 = 7.9 * 10^-5 m^2

Stress = 20 * 10^3/7.9 * 10^-5  = 2.5 * 10^8 Nm-2

Strain = 0.2 * 10^-3/2 = 1 * 10^-4

Young Modulus = 2.5 * 10^8/1 * 10^-4  

Young Modulus =  2.5 * 10^12 Nm-2

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in a typical balance of payments crisis part 2 a. the interest parity curve shifts out. b. the interest parity curve shifts in.
Wewaii [24]

In a typical balance of payments crisis part the interest parity curve shifts in. Capital exodus results from downward pressure on interest rates, whereas imports rise as income levels rise.

As a result, the exchange rate depreciates, moving the BP curve to the right. The I and Y combinations that result in balance of payments equilibrium are provided by the BP curve. A given domestic price level, a certain currency rate, and a specified net foreign debt are used to build the BP curve. When the capital account deficit equals the current account surplus, equilibrium has been reached. Interest rates between two countries must be equal for interest rate parity to persist in a fixed exchange rate regime.

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6 0
1 year ago
Tangshan Industries has issued a bond which has a​ $1,000 par value and a 15 percent annual coupon interest rate. The bond will
mina [271]

Answer:

B. 10.79 percent

Explanation:

yield to maturity = [150 + (1250 - 1000/10)]/[(1250 + 1000/2)]

                            = 10.79%  

Therefore, The yield to maturity on the Tangshan Industries bond is 10.79%

6 0
4 years ago
Wilbert's Clothing Stores just paid a $1.20 annual dividend and increases its dividend by 2.5 percent annually. You would like t
astraxan [27]

Answer:

For 100 shares, the mount that should be paid = $1766

Explanation:

We have to calculate the price of the stock in the 4th year because the investor cannot afford the stock in another 3 years.

Price of the stock = Do + g / ke - g

Dividend in current year = $1.2

Dividend after 1 year = 1.2 +2.5% (1.2)= 1.23

Dividend after 2 years = 1.23 + 2.5%(1.23) = 1.26075

Dividend after 3 years = 1.26075 + 2.5%(1.26) = 1.29227

Price in 4th year = 1.29227 + 2.5% / (0.10 - 0.025)

                            =1.29227 + 2.5%(1.29227)/0.075

                            = 17.66

Therefore, for 100 shares, the mount that should be paid = 17.66 * 100 = $1766

5 0
3 years ago
Read 2 more answers
Find the effective rate of interest to the nearest hundredth percent if $60.94 is earned in one year on a deposit of
Nata [24]

Answer:

6.25%

Explanation:

The formula for calculating interest rate is as follows

I= P x R x T

Where

I= interest,  P= principal amount, T is time

in this case: I= $60.94, P=$975, T=1 year

Therefore:

$60.94 = $975 x( r/100) x 1

$60.94 =975(r/100) multiply both side by 100 to get rid of the fraction.

6094=975r

r = 6094/ 975

r = 6.2502

interest rate = 6.25%

8 0
3 years ago
Sheffield Corp. had 205000 shares of common stock, 20300 shares of convertible preferred stock, and $1580000 of 4% convertible b
Ahat [919]

Answer:

Diluted earnings per share for 2021 is: <u>$2.19 per share</u>.

Explanation:

Amount of increase in net income if bonds are converted = Total value of convertible bonds * Bond rate * (100% - Tax rate) = $1580000 * 4% * (100% - 35%) = $41,080

Total earnings available to Equity Shareholders = Net income + Amount of increase in net income if bonds are converted = $599000 + $41,080 = $640,080

Number of shares of common stock = 205,000

Number of common shares obtainable from preferred stock = 39,800

Number of common shares obtainable from convertible bonds = (Total value of convertible bonds / $1,000) * 30 = ($1580000 / $1,000) * 30 = 47,400

Total number of shares outstanding = Number of shares of common stock + Number of common shares obtainable from preferred stock + Number of common shares obtainable from convertible bonds = 205,000 + 39,800 + 47,400 = 292,200

Diluted earnings per share = Total earnings available to Equity Shareholders / Total number of shares outstanding = $640,080 / 292,200 = $2.19 per share

Therefore, we have:

Diluted earnings per share for 2021 is: <u>$2.19 per share</u>.

6 0
3 years ago
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