Two particles $$\(P\)$$ and $$\(Q\)$$, of masses $$\(0.2 \mathrm{~kg}\)$$ and $$\(0.5 \mathrm{~kg}\)$$ respectively, are at rest on a smooth horizontal plane. $$\(P\)$$ is projected towards $$\(Q\)$$ with speed $$\(2 \mathrm{~m} \mathrm{~s}^{-1}\)$$. After the collision $$\(P\)$$ continues to move in the same direction with speed $$\(0.3 \mathrm{~m} \mathrm{~s}^{-1}\)$$. Find the speed of $$\(Q\)$$ after the collision. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No:9709_w20_qp_42 Year:2020 Question No:1(b)
Answer:
\(0.4=0.2 \times 0.3+0.5 v\)
\(v=0.68 \mathrm{~ms}^{-1}\)
\(v=0.68 \mathrm{~ms}^{-1}\)
Knowledge points:
4.3.2 use conservation of linear momentum to solve problems that may be modelled as the direct impact of two bodies. (Including direct impact of two bodies where the bodies coalesce on impact. Knowledge of impulse and the coefficient of restitution is not required.)
Solution:
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