| Exam Board | AQA |
|---|
| Module | Paper 2 (Paper 2) |
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| Year | 2024 |
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| Session | June |
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| Topic | Newton's laws and connected particles |
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15 Two forces, \(\mathbf { F } _ { \mathbf { 1 } }\) and \(\mathbf { F } _ { \mathbf { 2 } }\), are acting on a particle of mass 3 kilograms.
It is given that
$$\mathbf { F } _ { \mathbf { 1 } } = \left[ \begin{array} { c }
a
23
\end{array} \right] \text { newtons and } \mathbf { F } _ { \mathbf { 2 } } = \left[ \begin{array} { l }
4
b
\end{array} \right] \text { newtons }$$
where \(a\) and \(b\) are constants.
The particle has an acceleration of \(\left[ \begin{array} { c } 4 b
a \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 2 }\)
Find the value of \(a\) and the value of \(b\)