Particle Mass and Forces: Resultant Force and Acceleration Calculation

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In summary, The conversation was about a homework problem involving a particle with a mass of 2kg moving under the influence of forces 3i - 12j and i + 6j. The resultant force acting on the particle was found to be 4i - 6j, and the acceleration was calculated to be 2i - 3j or square root of 13. Units were mentioned to be important in the solution.
  • #1
ZedCar
354
1
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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  • #2
Looks good. (But don't leave out units. Physical quantities require units.)
 
  • #3
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
 

1. What is particle mass and how is it measured?

Particle mass is the amount of matter contained within a particle. It is measured in kilograms (kg) using a scale or balance.

2. What is a resultant force?

A resultant force is the overall force acting on a particle, taking into account the magnitude and direction of all the individual forces acting on it.

3. How is resultant force calculated?

Resultant force is calculated by adding together all the individual forces acting on a particle, taking into account their magnitudes and directions.

4. What is acceleration and how is it related to resultant force?

Acceleration is the rate of change of velocity of a particle. It is directly proportional to the resultant force acting on the particle, according to Newton's Second Law of Motion (F=ma).

5. How do I calculate the acceleration of a particle given the resultant force?

The acceleration of a particle can be calculated by dividing the resultant force acting on it by its mass. This can be represented by the equation a=F/m, where a is acceleration, F is resultant force, and m is mass.

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