Moderate -0.3 This is a straightforward momentum conservation problem with a clear setup. Students must recognize that particle A can move in either direction after collision (hence two solutions), then apply conservation of momentum with careful attention to sign conventions. While requiring systematic thinking about directions, it's a standard M1 collision question with routine calculations and no conceptual surprises.
5 Two particles, \(A\) and \(B\), are moving towards each other along the same straight horizontal line when they collide. Particle \(A\) has mass 5 kg and particle \(B\) has mass 4 kg . Just before the collision, the speed of \(A\) is \(4 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and the speed of \(B\) is \(3 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). After the collision, the speed of \(A\) is \(0.6 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and both particles move on the same straight horizontal line.
Find the two possible speeds of \(B\) after the collision.
(6 marks)
5 Two particles, $A$ and $B$, are moving towards each other along the same straight horizontal line when they collide. Particle $A$ has mass 5 kg and particle $B$ has mass 4 kg . Just before the collision, the speed of $A$ is $4 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ and the speed of $B$ is $3 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. After the collision, the speed of $A$ is $0.6 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ and both particles move on the same straight horizontal line.
Find the two possible speeds of $B$ after the collision.\\
(6 marks)
\hfill \mbox{\textit{AQA M1 2013 Q5 [6]}}