| Exam Board | AQA |
|---|
| Module | Paper 2 (Paper 2) |
|---|
| Year | 2023 |
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| Session | June |
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| Topic | Vectors Introduction & 2D |
|---|
16 A particle moves under the action of two forces, \(\mathbf { F } _ { 1 }\) and \(\mathbf { F } _ { 2 }\)
It is given that
$$\begin{aligned}
& \mathbf { F } _ { 1 } = ( 1.6 \mathbf { i } - 5 \mathbf { j } ) \mathrm { N }
& \mathbf { F } _ { 2 } = ( k \mathbf { i } + 5 k \mathbf { j } ) \mathrm { N }
\end{aligned}$$
where \(k\) is a constant.
The acceleration of the particle is \(( 3.2 \mathbf { i } + 12 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 2 }\)
Find \(k\)
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