Particle Mass and Forces: Resultant Force and Acceleration Calculation

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The discussion focuses on calculating the resultant force and acceleration of a particle with a mass of 2 kg subjected to two forces: 3i - 12j and i + 6j. The resultant force is determined to be 4i - 6j. Using the equation F = ma, the acceleration is calculated as 2i - 3j, with a magnitude of √13. It is emphasized that physical quantities must include units for clarity.

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Have I done this correctly? Thank you.

Homework Statement


A particle of mass 2kg moves under the action of forces 3i - 12j, and i + 6j.

(i) Find the resultant force acting on the particle in the form ai + bj
(ii) Find the acceleration of the particle

Homework Equations


F = ma

The Attempt at a Solution



(i)
R = 3i + i - 12j + 6j
R = 4i - 6j

(ii)
Using F = ma
4i - 6j = 2a
2i - 3j = a

asquared = 2squared + (-3)squared
a = square root of (4 + 9)
a = square root of 13
 
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Looks good. (But don't leave out units. Physical quantities require units.)
 
Thanks very much Doc! :smile:

Doc Al said:
Looks good. (But don't leave out units. Physical quantities require units.)

Yes, forgot to type the units in. Thanks
 

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