




D Let fi, f2 A - B and g B -C and h1, h2 C (a) Prove that if g o fi = go f2 and g is injective, then fi = f2 = h2. (b) Prove that if h1 0 g h20g and g is surjective, then h
5) Show that Q total in cal is needed to change 50 g of 0 ̊C ice to steam at 100 ̊C. (a) Show that Q in cal, Quantity of heat is needed to increase the temperature of 50 g water from 0 ̊C to 100 ̊C. The specific heat capacity for water is 1 cal/g•̊C. (b) Show that Q in cal, Heat of fusion is needed to melt 50 g of 0 ̊C ice. The heat of fusion Lffor...
mi k2 b yi m2 Figure 5-45 Mechanical system. Assuming that mi 10 kg, m2 5 kg, b 10 N-s/m, k 40 N/m, and k 20 N/m and that input force u is a constant force of 5 N, obtain the response of the sys- tem. Plot the response curves n(t) versus r and y2(t) versus t with MATLAB Problem B-5-23 Consider the system shown in Figure 5-45. The system is at rest for t < 0. The dis placements...
6-85 If 125.5 g of Ca N, were produced from 29.0 g of N, and an excess of Ca according to the reaction 3Ca + N - CazN2 what was the percent yield of Ca N ? *-63 Using each of the following balanced chemical equations, calculate the number of moles of the first listed reactant needed to produce 5.00 moles of CO. a. CH16 + 11027CO2 + 8H,0 b. CS, + O2 → 2802 + CO2 slomi c. Fe2O4...
b 73.9 g of methanol from –35°C to 59°C Heat = cal C 3.90 kg of lead from –33°C to 731°C Heat = cal d 67.4 g of ice from –77°C to -8.0°C Heat = cal
that prove c{-N) it lima; =d im ca, =ca where c is a number ;-)
MEMB343 MECHANICAL VIBRATIONS ASSIGNMENT l. For the system shown in Figure 1, where mi=5 kg, m,-10 kg, ki=1000 N/m, k2-500 N/m, k, 2000 N/m, fi-100sin(15t) N and f-0, use modal analysis to determine the amplitudes of masses m, and m2. The equations of motion are given as sin(15t), wth natura frequencies 5 01[i, 0 10 500-500x, 500 2500jx, x,[100 ω,-14.14 rad's and a, = 18.71 rad/s, and mode shapes, Φ',, and Φ' k, Im Figure 1
MEMB343 MECHANICAL VIBRATIONS ASSIGNMENT...
There are 10 letters - a, b, c, d, e, f, g, h, n, g. I have to arrange them in a way that "a" wouldn't be near "c" and also "a" wouldn't be near "g" How many possible combinations are possible? How to solve it mathematically?
): 4,7 10. Given the thermochemical equation Cal) 02/2) + H12) - Ca(OH --49345 kJ/mol-nun find AH for the following reaction Ca(OH)20) -- Calo) + O2(g) + H2(8) a.986.9 kJ/mol-pan b. -986.9 kJ/mol-nxn C.-139 kJ/mol-ran d. -2320 kJ/mol-nun c.-39.7 kJ/mol-ran 11. A hot piece of iron is dropped into a beaker containing colder water. Which of the following statements is/are CORRECT? 1. Energy is transferred as heat from the iron to the water. 7 Thermal equilibrium is attained when the...
A. = 6 B. =9. C. =69
5) Obtain a, b, c and d if (c-2 c+d 2a -b 3a Sat-d) = ( 28) BUM2225 Show that (A + B) = BT AT where A= =(CA 0 -В. and B = ( A) -B 7) y2 If A = xy 1 = ( Obtain A2 -x2 -xy 8) 11 S=CA -), find s- 9) If f(x) = Ax-B, g(x) = Cx2 + B, find (a) (f + g)(2) (b) (g-(-3)...