Two particles P and Q, of masses 0.3kg and 0.2kg respectively, are at rest on a smooth horizontal plane. P is projected at a speed of 4ms⁻¹ directly towards Q. After P and Q collide, Q begins to move with a speed of 3 ms⁻¹. After the collision, Q moves directly towards a third particle R, of mass mkg, which is at rest on the plane. The two particles Q and R coalesce on impact and move with a speed of 2ms⁻¹.

Q: What topic does this question test?

This question tests Mechanics in A-Level Mathematics (syllabus code 9709). It is worth 4 marks.

Q: Which exam paper is this question from?

This question appeared in the Cambridge A-Level Mathematics May/June 2022 examination, Paper 4 Variant 3 (9709_s22_qp_43.pdf).

Question

Two particles P and Q, of masses 0.3kg and 0.2kg respectively, are at rest on a smooth horizontal plane. P is projected at a speed of 4ms⁻¹ directly towards Q. After P and Q collide, Q begins to move with a speed of 3 ms⁻¹. After the collision, Q moves directly towards a third particle R, of mass mkg, which is at rest on the plane. The two particles Q and R coalesce on impact and move with a speed of 2ms⁻¹.

Oracle Prep · Accepted Answer

Sign up to Oracle Prep to view the full model answer with examiner insights.

📋 Examiner Report & Trap Analysis

🎯 Mark Scheme Breakdown

Unlock the Examiner's Analysis

About This A-Level Mathematics Question

Topic

Source

Practice on Oracle Prep

Related Mathematics Questions