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 loss of kinetic energy of the system due to the collision. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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

Answer:

Use \(\mathrm{KE}=1 / 2 m v^{2}\) either before or after collision
\(\mathrm{KE}(\) before \()=0.5 \times 2.5 \times 6^{2}\)
\(\mathrm{KE}(\) after \()=0.5 \times 7.5 \times 2^{2}\)
Loss of \(\mathrm{KE}=30 \mathrm{~J}\)

Knowledge points:

4.5.2 understand the concepts of gravitational potential energy and kinetic energy, and use appropriate formulae

Solution:

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