What Formula Should I Use for Calculating Vector Components in Physics?

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To calculate vector components in physics, the key formulas involve breaking down vectors into their x and y components using trigonometric functions. For acceleration, the formula a = F/m can be used, where F is the force and m is the mass. Displacement can similarly be resolved into components using the sine and cosine functions based on the angle of the vector. Understanding that vectors have components is crucial for solving these problems effectively. Proper application of these principles will lead to accurate calculations of both acceleration and displacement components.
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I have a physics worksheet to do and i have all of the information for the problem, but i just can't figure out what formula to use. Right now we are working on force problems and the question says to find the x and y components of the acceleration. Then another question says to find the x and y components for the displacement. I am NOT asking for anything other than which possible formula to use for this problem. If i didn't write enough of the information, let me know and i will add it. Thank you if you can help me at all. It would be very much appreciated.
 
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F=ma is a vector equation. Are you given an F?
 
yes, i was
 
katie_08 said:
yes, i was
Well, vectors have components. There you go!
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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