When the $$$0.8 \mathrm{~kg}$$$ particle reaches the floor it comes to rest. Two particles of masses $$$0.8 \mathrm{~kg}$$$ and $$$0.2 \mathrm{~kg}$$$ are connected by a light inextensible string that passes over a fixed smooth pulley. The system is released from rest with both particles $$$0.5 \mathrm{~m}$$$ above a horizontal floor (see diagram). In the subsequent motion the $$$0.2 \mathrm{~kg}$$$ particle does not reach the pulley. When the 0.8 kg particle reaches the flfloor it comes to rest. Find the greatest height of the $$$0.2 \mathrm{~kg}$$$ particle above the floor. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w20_qp_41 Year：2020 Question No：5(b)

Answer:

$v^{2}=2 \times 6 \times 0.5$
$0=6-20 s$
Greatest height $=0.5+0.5+0.3=1.3 \mathrm{~m}$

Knowledge points:

4.2.4 use appropriate formulae for motion with constant acceleration in a straight line. （Questions may involve setting up more than one equation, using information about the motion of different particles.）

4.4.3 solve simple problems which may be modelled as the motion of a particle moving vertically or on an inclined plane with constant acceleration Including, for example, motion of a particle on a rough plane where the acceleration while moving up the plane is different from the acceleration while moving down the plane.

Answer:

Knowledge points:

Solution:

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