Particle Mass and Forces: Resultant Force and Acceleration Calculation

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The resultant force acting on the particle is calculated as 4i - 6j. The acceleration of the particle is determined to be 2i - 3j. The magnitude of the acceleration is found to be the square root of 13. It is emphasized that physical quantities should include units for clarity. Overall, the calculations appear correct, with a reminder to include units in future work.
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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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