F=ma calculation in vector format

Thread starter rugapark
Start date Jan 10, 2009
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Calculation F=ma Format Vector

AI Thread Summary

The discussion centers on calculating acceleration using the formula F=ma with a given force vector F=(3i + 2j + 4k) N and mass of 2 kg. The user correctly derives the acceleration vector by rearranging the equation to a = F/m, resulting in a = (3i + 2j + 4k)/2. This simplifies to a = 1.5i + 1j + 2k. Participants confirm the calculations and acknowledge that i, j, and k represent unit vectors in three perpendicular directions. The calculations and understanding of vector components are validated.

Jan 10, 2009

rugapark

I am given F=(3i + 2j + 4k) N and mass = 2kg

I need to calculate acceleration, so I plugged it into F=ma,
am I right in saying

(3i + 2j + 4k) = 2 a

\frac{(3i + 2j + 4k)}{2} = a

therefore a = 1.5i + 1j + 2k ?

cheers.

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Jan 10, 2009

Delphi51

Homework Helper

Looks good to me. I assume i, j and k are unit vectors in 3 perpendicular directions.

Jan 10, 2009

NBAJam100

yep, that's fine

Jan 10, 2009

rugapark

brilliant, thanks for that guys.

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