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# Find the constant of proportionality z is directly proportional to the sum of x and y if x and

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block moves and compress the spring. Find the maximum compression on the spring where the block momentarily comes to stop. The spring constant is 25 N/m.
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ty distribution: x 3 5 8 10 pX(x) k k k 2k i. Determine the constant k and hence write down the probability distribution of X. ii. Find E(X), the expected value of X. iii. Find Var(X), the variance of X.
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and y = 2, then z = 56.
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ction between the floor and book is µk. Using the information given in the figure: (a) draw free body diagrams for both the books, and also for the combined system (of mass m1+m2), (b) find acceleration of the books along horizontal direction, and (c) find the magnitude and direction of the force exerted by the left book on the right book. 3.A car of mass 1500-kg enters a circular path at point P and leaves at point Q (see the figure) at constant speed of 5.0m/s, and the frictional force acting on its tires is 2500-N. a) how long it takes to reach point Q from point P, and b) what should be the minimum value of the coefficient of static friction between the tires and the road? 4)In an elevator which is accelerating downward at 2.5ms−2 , a 25-kg block hangs from a spring attached to the ceiling of the elevator. If spring gets stretched by 0.15m, find its spring constant.
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ard free energy G° by 18 kJ/mole, with A* having the higher G°. Use the table below to find how many more molecules will be in state A* compared with state A at equilibrium. If an enzyme lowered the activation energy of the reaction by 11.7 kJ/mole, how would the ratio of A to A* change? Table: RELATIONSHIP BETWEEN THE STANDARD FREE- ENERGY CHANGE, ∆G°, AND THE EQUILIBRIUM CONSTANT Hint: ∆G° represents the free-energy difference under standard conditions (where all components are present at a concentration of 1 mole/litter). From this table, we see that if there is a favourable free-energy change of –17.8 kJ/mole for the transition Y→ X, there will be 1000 times more molecules of X than of Y at equilibrium (K = 1000).
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rectly with time a 12 min telephone call costs 0.96 cents
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itially, the balloon contains 4 ft3 of hydrogen and it takes 14 seconds to com- pletely fill the balloon. (a) At what rate is the balloon filled? (b) Find a linear function V that models the volume of hydrogen in the balloon at any time t. (c) What can you say about the graph of V ? (You do not need to sketch the graph.)
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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