OCR GCE AS LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 (Y533/01: Mechanics)
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OCR GCE AS LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 (Y533/01: Mechanics). DOWNLOAD OFFICIAL AND VERIFIED OCR AS LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 ON www.leakedexams.com.


 Two particles A, of mass mkg, and B, of mass 3mkg, are connected by a light inextensible string
and placed together at rest on a smooth horizontal surface with the string slack. A is projected
along the surface, directly away from B, with a speed of 2 4. ms
-1
.
(a) Find the speed of B immediately after the string becomes taut. [2]
(b) Find, in terms of m, the magnitude of the impulse exerted on B as a result of the string
becoming taut. [2]
2
P
O
P u ms−1
3.2m
60°
A small body P of mass 3kg is at rest at the lowest point of the inside of a smooth hemispherical
shell of radius 3.2m and centre O.
P is projected horizontally with a speed of ums-1
. When P first comes to instantaneous rest OP
makes an angle of 60° with the downward vertical through O.
(a) Find the value of u. [4]
(b) State one assumption made in modelling the motion of P. [1]