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Mathematics 20 Online
OpenStudy (jellybot23):

A falling raindrop has a mass of 5.0 x 10^-5kg and is accelerating at a rate of 1.0m/s^2. The drop is acted on by forces of gravity, air resistance, and a crosswind parallel to the ground. (blowing to the left of diagram below). What is the force of wind? What is the force of air resistance? I will attach a pic of diagram in comments. Please, don't just give me an answer, I want to go into a physics career and really want to learn exactly how to solve a problem like this :)

OpenStudy (jellybot23):

It is backwards, but you get the point :p

OpenStudy (anonymous):

Did you take that picture using a mirror? the words are inverted

OpenStudy (anonymous):

I would like to help, is it blowing to the left down?

OpenStudy (jellybot23):

Sorry I am on my computer, so the camera is inverted. The problem is above in the question, the picture is just for showing the diagram. Yes, the wind is blowing to the left

OpenStudy (jellybot23):

@jayzdd don't leave!! haha

OpenStudy (anonymous):

lets make a free body diagram

OpenStudy (anonymous):

|dw:1445477491420:dw|

OpenStudy (jellybot23):

Okay, looks good :)

OpenStudy (jellybot23):

Now how do we apply equations and such?

OpenStudy (anonymous):

do you agree that angle is 30 degrees, between wind vector and weight vector

OpenStudy (anonymous):

by the way, you can take a screenshot with this program https://app.prntscr.com/en/index.html

OpenStudy (jellybot23):

Thank you! And yes, I agree on the angle

OpenStudy (anonymous):

by newtons 2nd law \( \sum \) F = m*a

OpenStudy (jellybot23):

Yes, so do we do 1.0 X 10^-5 times 1.0 m/s^2?

OpenStudy (anonymous):

component wise newtons second law is ∑Fx = m*ax ∑Fy = m*ay

OpenStudy (jellybot23):

Okay, agreed

OpenStudy (jellybot23):

Okay, sorry about it being backwards, I can take a pic on my phone and re-upload it if you would like

OpenStudy (jellybot23):

Okay, one minute!

OpenStudy (jellybot23):

My computer isn't cooperating, I am getting there

OpenStudy (jellybot23):

OpenStudy (anonymous):

much better

OpenStudy (jellybot23):

Haha YAY!

OpenStudy (anonymous):

it looks like the rain drop is moving at 30 degrees west of south, and thus the acceleration is also in that direction. by newtons law the net force vector has the same direction as the acceleration

OpenStudy (jellybot23):

Okay agreed

OpenStudy (anonymous):

|dw:1445479262150:dw|

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