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# Tutor profile: Chris D.

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Chris D.
Teacher for 12 years, Tutor for over a decade
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## Questions

### Subject:Physics (Newtonian Mechanics)

TutorMe
Question:

A ball is thrown at a velocity of 12 m/s at an angle of 32 degrees from the horizontal. What are the ball's horizontal and vertical velocities?

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Chris D.

Newtonian physics problems are very commonly solved by visualizing the scenario into a free body diagram, which I cannot draw here. But if I could, what I would draw here would be a triangle with the 12.5 m/s written on the hypotenuse, and an "x" and "y" drawn to depict separating that velocity into the horizontal (x) and vertical (y) velocities. The 32 degree angle belongs between the hypotenuse and the "x" axis, as I've described it above. Since I know two pieces of information, the hypotenuse and the angle, using SOH CAH TOA to recall the trigonometric identities that will give me the formulas needed to solve for my unknown quantities. SOH gives me that the "sin 32 = O/H", and since the "opposite" side is y, that leads to "sin 32 = y/12", which can be rearranged into "y = 12 x sin32" = 6.36 m/s. CAH gives me that the "cos 32 = A/H", and since the "adjacent" side is x, that leads to "cos 32 = x/12", which can be rearranged into "x = 12 x cos 32" = 10.18 m/s.

### Subject:Basic Chemistry

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Question:

Mercury has a density of 13.5 g/mL. Determine the number of moles of mercury in 1.0 L of mercury.

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Chris D.

### Subject:Algebra

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Question:

4x + 24 = 36. Solve for x.

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Chris D.

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