题题Cambridge AssessmentInternational EducationCambridge International AS A LevelCANDIDATENAMECENTRECANDIDATENUMBERNUMBERMATHEMATICS9709/42Paper 4 MechanicsFebruary/March 20231 hour 15 minutesYou must answer on the question paper.You will need:List of formulae (MF19)INSTRUCTIONSAnswer all questions.Use a black or dark blue pen.You may use an HB pencil for any diagrams or graphs.Write your name,centre number and candidate number in the boxes at the top of the page.Write your answer to each question in the space provided.Do not use an erasable pen or correction fluid.Do not write on any bar codes.If additional space is needed,you should use the lined page at the end of this booklet;the questionnumber or numbers must be clearly shown.You should use a calculator where appropriate.You must show all necessary working clearly;no marks will be given for unsupported answers from acalculator.Give non-exact numerical answers correct to 3 significant figures,or 1 decimal place for angles indegrees,unless a different level of accuracy is specified in the question.Where a numerical value for the acceleration due to gravity(g)is needed,use 10ms-2.INFORMATIONThe total mark for this paper is 50.The number of marks for each question or part question is shown in brackets ]This document has 16 pages.Any blank pages are indicated.JC2303970942/RP©UCLES2023[Turn over21A crate of mass 200kg is being pulled at constant speed along horizontal ground by a horizontalrope attached to a winch.The winch is working at a constant rate of 4.5kW and there is a constantresistance to the motion of the crate of magnitude 600N.(a)Find the time that it takes for the crate to move a distance of 15 m.[2]The rope breaks after the crate has moved 15 m.(b)Find the time taken,after the rope breaks,for the crate to come to rest.........9709/42/FM2332 A particle P is projected vertically upwards from horizontal ground with speed 15ms-(a)Find the speed of P when it is 10m above the ground.At the same instant that P is projected,a second particle is dropped from a height of 18m abovethe ground in the same vertical line as P.(b)Find the height above the ground at which the two particles collide.9709/42/FM23[Turn over