Chapter 5: Further Mechanics 1: Elastic Collisions in Two Dimensions

A-level Further MathsFurther Mechanics 1 & 22 topicsHigher

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Further Mechanics 1: Elastic Collisions in Two Dimensions: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

FM05-1 Find the required result for Further Mechanics 1: Elastic Collisions in Two Dimensions. Given A particle with velocity (6i - 2j)

m\,s^{-1}

strikes a smooth vertical wall with coefficient of restitution 0.75. Use resolve velocity into normal and tangential components. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksshow thathardEdexcel

FM05-2 Show that the normal component changes from 6 to -4.5 for Further Mechanics 1: Elastic Collisions in Two Dimensions. Start from A particle with velocity (6i - 2j)

m\,s^{-1}

strikes a smooth vertical wall with coefficient of restitution 0.75. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

FM05-3 Determine the requested value in this structured Further Mechanics 1: Elastic Collisions in Two Dimensions problem: find the speed and direction after impact. Use the same data: A particle with velocity (6i - 2j)

m\,s^{-1}

strikes a smooth vertical wall with coefficient of restitution 0.75. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

FM05-4 Hence use the result the normal component changes from 6 to -4.5 to complete the extension for Further Mechanics 1: Elastic Collisions in Two Dimensions: find the speed and direction after impact. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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4. Further Mechanics 1: Elastic Collisions in One Dimension

6. Further Mechanics 2: Circular Motion

Key learning objectives

Understand the key principles behind Further Mechanics 1: Elastic Collisions in Two Dimensions.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.