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# for the initial reaction no g o g no g the following table is shown

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g and 30 cm each, respectively. Both M1 and M2 rest on frictionless surfaces and the system starts from rest. (a) Draw the fbd for each of M1, M2 and the pulley. (b) Write the equations of motion for each of M1, M2 and the pulley. (c) Calculate the linear acceleration of the two masses, as well as the angular acceleration of the pulley. (d) Calculate the angular velocity of the pulley after M1 and M2 have been displaced linearly by 2 m. Q2) (10 points) A basketball is thrown with an initial speed v0 of 10.8 m/s at 400 above horizontal, and it enters the hoop from above. The ball is released at 2.00 m above the ground. The hoop is 3.05 m above the ground and 10.0 m away from the player. (a) Find the time at which the ball passes through the hoop. (b) Find the ball’s velocity (express in component form) just when it enters the hoop. (c) Find the ball’s maximum height. Q3) (5 Points) An object is thrown up from the top of a building of height of 400 m with an initial velocity of 20 m/s. (a) Find the position and the velocity of the object 5 s later. (b) With what velocity will it hit the ground? (c) At the same time the first object is thrown up, a second object is thrown up from the ground at 100 m/s. Will the two objects collide? If yes, calculate when and where,
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we will use a 4-bit register (with parallel input and output) as memory element of the state machine, a 16-byte ROM memory to implement the next state logic and output logic, and a 4-bit binary counter to count the time. Following is an (incomplete) sketch of the circuit to be used. Note that the registrar is already in its data entry enabled, while the counter is already with its “load” input disabled. Also note that we have a 1 Hz clock signal and also a button for “Reset” the register (which must bring the timer to its initial state, as described further up).
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achment) Using this data, determine: a) Order regarding NO b) Order regarding O2 c) The speed constant (k) d) The law of speed for the reaction e) Total order of the reaction f) The initial speed of the reaction in the run
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lculate surface area. (b) Calculate total capacitance presented by the cell membrane. (c) cell membrane has a resistance of 10 MΩ. Calculate τ (d) interior of the cell has an initial potential of Vi = 0 V, a potential of Vo = 100V is applied to the outside of the cell. Calculate how long it takes for the potential inside the cell to reach 50 V.
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function C = 65t + 30 where t is the time in months. (a) Calculate the gym membership cost over a six month period. (b) Sketch the graph of the function C = 65t + 30 for t ≥ 0. (c) Calculate the time, t, in months, when the total cost reaches 290 AUD. In the neighbouring Nicolo’s Gym, the initial payment is 75 AUD higher than in Paolo’s Gym, however the monthly fee is lower at 30 AUD per month. (d) Determine the number of months it takes for the total cost to be less by attending Nicolo’s Gym in comparison to Paolo’s Gym.
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units. Chemical Equation: Write a generic chemical equation for the dehydration of cobalt (II) chloride ∙ x hydrate (include the state symbols of the reactant and two products). [T2] Mass of Reactants and Products: a) Calculate the initial mass of the hydrated cobalt (II) chloride. [T1] b) Calculate the final mass of the anhydrous cobalt (II) chloride remaining in the cruiio8icible. [T1] c) Calculate the mass of water given off by the sample of hydrated cobalt (II) chloride. [T1] Moles of Products: a) Calculate the moles of anhydrous cobalt (II) chloride remaining in the crucible. [T1] b) Calculate the moles of water released from the hydrate. {T1] 4. Mole Ratio a) Create an experimental mole ratio between the b) and a). [T1] 5. Formula of Hydrate: State the chemical formula you have determined for this hydrate. Round the formula to the closest whole number value for x. [T1] Discussion/Conclusion Questions: [T6] Based on the chemical formula of the hydrate, calculate the percentage composition (percent by mass) of the hydrated cobalt (II) chloride. Remember to determine the percentage of each element (Co, Cl, H, and O). [T2] A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same). Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2]
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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