Easy -1.8 This is a straightforward application of conservation of momentum in 2D with multiple-choice answers provided. Students only need to apply m₁v₁ + m₂v₂ = (m₁+m₂)v and select from given options, requiring minimal calculation and no problem-solving insight. Worth only 1 mark, this is significantly easier than typical A-level questions.
1 A particle \(A\), of mass 0.2 kg , collides with a particle \(B\), of mass 0.3 kg Immediately before the collision, the velocity of \(A\) is \(\left[ \begin{array} { c } 4 \\ 12 \end{array} \right] \mathrm { ms } ^ { - 1 }\)
and the velocity of \(B\) is \(\left[ \begin{array} { l } - 1 \\ - 3 \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }\)
As a result of the collision the particles coalesce to become a single particle.
Find the velocity of the single particle.
Circle your answer. [0pt]
[1 mark]
$$\left[ \begin{array} { l }
0.5 \\
1.5
\end{array} \right] \mathrm { m } \mathrm {~s} ^ { - 1 } \quad \left[ \begin{array} { l }
2 \\
6
\end{array} \right] \mathrm { m } \mathrm {~s} ^ { - 1 } \quad \left[ \begin{array} { l }
1 \\
3
\end{array} \right] \mathrm { ms } ^ { - 1 } \quad \left[ \begin{array} { l }
3 \\
9
\end{array} \right] \mathrm { m } \mathrm {~s} ^ { - 1 }$$
1 A particle $A$, of mass 0.2 kg , collides with a particle $B$, of mass 0.3 kg Immediately before the collision, the velocity of $A$ is $\left[ \begin{array} { c } 4 \\ 12 \end{array} \right] \mathrm { ms } ^ { - 1 }$\\
and the velocity of $B$ is $\left[ \begin{array} { l } - 1 \\ - 3 \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }$\\
As a result of the collision the particles coalesce to become a single particle.\\
Find the velocity of the single particle.\\
Circle your answer.\\[0pt]
[1 mark]
$$\left[ \begin{array} { l }
0.5 \\
1.5
\end{array} \right] \mathrm { m } \mathrm {~s} ^ { - 1 } \quad \left[ \begin{array} { l }
2 \\
6
\end{array} \right] \mathrm { m } \mathrm {~s} ^ { - 1 } \quad \left[ \begin{array} { l }
1 \\
3
\end{array} \right] \mathrm { ms } ^ { - 1 } \quad \left[ \begin{array} { l }
3 \\
9
\end{array} \right] \mathrm { m } \mathrm {~s} ^ { - 1 }$$
\hfill \mbox{\textit{AQA Further AS Paper 2 Mechanics 2018 Q1 [1]}}