A particle $$\(B\)$$ of mass $$\(5 \mathrm{~kg}\)$$ is at rest on a smooth horizontal table. A particle $$\(A\)$$ of mass $$\(2.5 \mathrm{~kg}\)$$ moves on the table with a speed of $$\(6 \mathrm{~m} \mathrm{~s}^{-1}\)$$ and collides directly with $$\(B\)$$. In the collision the two particles coalesce. Find the speed of the combined particle after the collision. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_41 Year:2020 Question No:1(a)

Answer:

\(6 \times 2.5=2.5 v+5 v\)
\(v=2 \mathrm{~ms}^{-1}\)

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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