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Given: A steel rod (A= 150 mm2) is stretched between
two fixed points with a tensile load of 5000 N at 200C.
a.) What will be the stress at -200C?
b.) At what temperature will the stress be zero?
Assume α = 11 .7 μm/m0C, and E = 200 Gpa
How much Work will be done if 420 J of Heat has been added to the Isothermal Process.
To condition the air in an office building in the winter, 1000 cm3 of moist air at 101 kPa and22oC enters the process. The air leaves the process at 98 kPa. How many kg of water
vapour are added to each kg of wet air entering the process? Partial pressure of water in
entering air is 1.31 kPa; Partial pressure of water in leaving air is 18.14 kPa.
A +40uC charged is placed at the origin. Calculate the magnitude and direction of the field created by the point charged at the following A point (5m,0) B. (3m,4m)
A four-digit number is formed using the digits 1, 2, 3, 5, 8, and 9. What is the probability that the number formed is even?
How many four-letter words can be formed using the letters of the word WOMAN?
The total price of a product is the price of the product plus the sales tax. Suppose the sales tax is 6%. Write a C++ program that reads the price of the product and displays the total cost of the product.
a. You are given the following information about the commodity and Money markets of a closed economy without government intervention.
The commodity market
Consumption function:
C = 50 + 2/5Y
Investment function:
I = 790 – 21r
The Money Market
Precautionary and Transactions demand for money
MDT = 1/6 Y
Speculative demand for money
MDS = 1200 -18r
Money supply
MS = 1250
Required i. Determine the equilibrium levels of income and interest rate for this economy. (5 Marks)ii. Using a well labelled diagram, illustrate the equilibrium condition in part (i) above. (5 marks)
5. Let φ : V → W be a linear transformation of vector spaces over the field F. The
kernel of φ is by definition the set ker(φ) ⊂ V of vectors v in V such that φ(v) = 0.
The image of φ is the subset im(φ) of vectors w ∈ W for which there exists some
v ∈ V such that φ(v) = w.
(a) Show that the kernel of is a subspace of V .
(b) Show that the image of is a subspace of W.
(c) Show that is injective if and only if the kernel is 0.
1) What is the mass of water if it contains 5 moles of hydrogen atoms?
2) Aspirin is a compound with the molecular formula C9H8O4. What is its percent composition?
3) A 24.81-g sample of a gaseous compound containing only carbon, oxygen, and chlorine is determined to contain 3.01 g C, 4.00 g O, and 17.81 g Cl. What is this compound’s percent composition?
