Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.
1 answer:
Answer:
Option (B)
Step-by-step explanation:
x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5
- (<u>x³ + x² - x</u>)
5x² + x + 5
-(<u>5x² + 5x - 5)</u>
-4x + 10
Result :
By the comparing the result with the Lorie's solution,
She made a mistake in the last step in which she combined the constant incorrectly.
Therefore, Option (B) will be the answer.
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Answer:
Decrease in temperature = 4.6714°C
Step-by-step explanation:
We know that the formula fro deflection is:
δ = PL/AE + LαΔT
As deflection is equal to zero in this case, the formula becomes
ΔT = -P/αAE -------------- equation (1)
Now,
we see that only vertical force acting is weight
W = mg = 100*9.81
W = 981N = ∑ where 1N = 1kgm/s²
Now,
for horizontal forces
As we know that, Sum of all horizontal forces = 0
P - μN = 0
P - μW = 0
P = μW
P = 0.6 * 981
P = 588.8N or 589N
Now we need to calculate the area
area = width * thickness = 20 * 3
area = 60 mm²
Now by substituting all these values in equation 1, wee get
ΔT = -P/αAE = - 588.6/(20*10⁻⁶*60*10⁻⁶*105*10⁹)
ΔT = - 4.6714°C (negative sign indicates decrease)