Chapter 4: Further Mechanics 1: Elastic Collisions in One Dimension

A-level Further MathsFurther Mechanics 1 & 23 topicsHigher

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Further Mechanics 1: Elastic Collisions in One Dimension: 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

FM04-1 Find the required result for Further Mechanics 1: Elastic Collisions in One Dimension. Given Two spheres of masses 2 kg and 3 kg collide directly. Their initial velocities are 6

m\,s^{-1}

and -1

m\,s^{-1}

; e = 0.4. Use combine momentum conservation with restitution. (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

FM04-2 Show that v_B - v_A = 0.4(7) for Further Mechanics 1: Elastic Collisions in One Dimension. Start from Two spheres of masses 2 kg and 3 kg collide directly. Their initial velocities are 6

m\,s^{-1}

and -1

m\,s^{-1}

; e = 0.4. (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

FM04-3 Determine the requested value in this structured Further Mechanics 1: Elastic Collisions in One Dimension problem: find the kinetic energy lost. Use the same data: Two spheres of masses 2 kg and 3 kg collide directly. Their initial velocities are 6

m\,s^{-1}

and -1

m\,s^{-1}

; e = 0.4. (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

FM04-4 Hence use the result v_B - v_A = 0.4(7) to complete the extension for Further Mechanics 1: Elastic Collisions in One Dimension: find the kinetic energy lost. (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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3. Further Mechanics 1: Elastic Strings and Springs

5. Further Mechanics 1: Elastic Collisions in Two Dimensions

Key learning objectives

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