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## Homework Statement

A particle of mass 2kg moves under the action of forces 3

**i**- 12

**j**, and

**i**+ 6

**j**.

(i) Find the resultant force acting on the particle in the form a

**i**+ b

**j**

(ii) Find the acceleration of the particle

## Homework Equations

F = ma

## The Attempt at a Solution

(i)

R = 3

**i**+

**i**- 12

**j**+ 6

**j**

R = 4

**i**- 6

**j**

(ii)

Using F = ma

4

**i**- 6

**j**= 2a

2

**i**- 3

**j**= a

asquared = 2squared + (-3)squared

a = square root of (4 + 9)

a = square root of 13