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Calculate minimum OH

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The solubility product of Mg(OH)2 is 1.2E-11. What minimum OH- concentration must be attained (for example, by adding NaOH) to decrease the Mg2+ concentration in a solution of Mg(NO3)2 to less than 1.9E-10 M?

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The question is solved equationally.

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Calculating Speed and Displacement: Example Problems

1. In 1780, in what is now referred to as "Brady's Leap," Captain Sam Brady of the U.S. Continental Army escaped certain death from his enemies by running over the edge of the cliff above Ohio's Cuyahoga River, which is confined at that spot to a gorge. He landed safely on the far side of the river. It was reported that he leapt 22 ft across while falling 20 ft.

Representing the horizontal distance jumped as L and the vertical drop as h, as shown in the figure, derive an expression for the minimum speed v he would need to make his leap if he ran straight off the cliff.

2. While visiting England, you decide to take a jog and find yourself in the neighborhood shown on the map shown in the figure.

What is your displacement after running 2.3 km on Strawberry Fields, 1.8 km on Penny Lane, and 4.2 km on Abbey Road?

Please see attached for diagrams.

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