AS & A Level Further Mathematics (9231) — May–June 2024, Paper 33
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Two smooth uniform spheres A and B of equal radii have masses m and 2m respectively. The two spheres are moving on a smooth horizontal surface when they collide with speeds u and…
Answer this question and get it marked →A particle P of mass m is attached to one end of a light elastic string of natural length a and modulus of elasticity 2mg. A particle Q of mass km is attached to the other end of…
Answer this question and get it marked →A particle P of mass m is attached to one end of a light inextensible string of length a. The other end of the string is attached to a fixed point O. When the particle is hanging…
Answer this question and get it marked →A light spring of natural length a and modulus of elasticity kmg is attached to a fixed point O on a smooth plane inclined to the horizontal at an angle theta, where sin theta =…
Answer this question and get it marked →A uniform lamina is in the form of a triangle OBC, with OC = 18a, OB = 24a and angle COB = 90 degrees. The point A on OB is such that OA = x (see diagram). The triangle OAC is…
Answer this question and get it marked →A particle P is projected with speed u m s^-1 at an angle theta above the horizontal from a point O and moves freely under gravity. After 5 seconds the speed of P is (3/4)u. Show…
Answer this question and get it marked →A parachutist of mass m kg opens his parachute when he is moving vertically downwards with a speed of 50 m s^-1. At time t s after opening his parachute, he has fallen a distance…
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