Linear Slick

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Linear Slick
Linear Slick
Physics Questions! Please help as much as you can! Thanks!?


(1)You can obtain a rough estimate of the size of a molecule with the following simple experiment: Let a droplet of oil spread out on a fairly large but smooth water surface. The resulting ”oil slick” that forms on the surface of the water will be approximately one molecule thick.
Given an oil droplet with a mass of 8.85 × 10−7 kg and a density of 923 kg/m3 that spreads out to form a circle with a radius of 43.2 cm on the water surface, what is the approximate diameter of an oil molecule?
Answer in units of m.

(2) A sound wave, traveling at 320m/s, is emitted by the foghorn of a tugboat. An echo is heard 2.07 seconds later. How far away is the reflecting object?
Answer in units of m.

(3) Use linear combinations to solve the system
−6x + 8y = 36
7x + 6y = 4
Find the value of y. (Answer with −100 if
there is no solution.)

Find the value of x. (Answer with −100 if
there is no solution.)

Ooh, I like this oil question!

1. Okay, assume the oil will maintain the same density as it spreads out. If it has the same density and the same mass (which it has to, since we aren't adding oil to it), then the volume of the drop must stay the same. What's happening is that the oil drop is changing shape until it is a flat laminate--an oil slick. The volume of a flat laminate with uniform thickness is just the cross sectional area (in this case, it's a circle, so you can use simple geometry to figure it out) times the thickness. So, since we know the density, mass, and radius (from which we can get area), we just solve for thickness.

2. Don't forget that the sound has to travel to the reflecting object and back. So, the distance used in the calculation is twice the distance from the tugboat to the reflecting object.

3. Do you know linear algebra? I would solve this with matrices. Should be a pretty simple problem. Otherwise, multiply the top equation by 7/6 and add it to the second equation and see what comes out.



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Odyssey Linear Slick Cable in Flat Teal Slic Kable for bike brake Lim Ed Color Odyssey Linear Slick Cable in Flat Teal Slic Kable for bike brake Lim Ed Color Paypal US $10.99 15d 9h 25m
Snafu Astroglide Brake Cables Linear Slick Blue for BMX Mountain Park Bike Snafu Astroglide Brake Cables Linear Slick Blue for BMX Mountain Park Bike Paypal US $9.99 25d 14h 22m
Odyssey Linear Slick Cable in Lim Ed Watermelon Green Odyssey Linear Slick Cable in Lim Ed Watermelon Green Paypal US $10.99 19d 14h 20m
Odyssey Linear Slick Cable in Purple Odyssey Linear Slick Cable in Purple Paypal US $10.99 19d 14h 18m
Odyssey Linear Slick Cable in Guacamole Green Odyssey Linear Slick Cable in Guacamole Green Paypal US $9.99 16d 14h 28m
Odyssey Linear Slick Cable in Burnt Orange Odyssey Linear Slick Cable in Burnt Orange Paypal US $10.99 16d 14h 23m
Odyssey Linear Slick Cable in lavender Odyssey Linear Slick Cable in lavender Paypal US $11.99 16d 10h 57m
Odyssey Linear Slick Cable in Blue Mesh Odyssey Linear Slick Cable in Blue Mesh Paypal US $14.99 8d 15h 27m
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