M1.4 - Dynamics of a particle moving in a straight line or plane

The concept of a force.; Newton’s Simple problems involving constant acceleration in scalar laws of motion. form or as a vector of the form ai + bj.

Use concept of a force to connect the rule to the data and decision in the question.

This matters because concept of a force determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply concept of a force to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: concept of a force is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Simple applications including the Problems may include motion of two connected particles. (i) the motion of two connected particles moving in a straight line or under gravity when the forces on each particle are constant.; problems involving smooth fixed pulleys and/or pegs may be set (ii) motion under a force which changes from one fixed value to another, e.g. a particle hitting the ground (iii) motion directly up or down a smooth or rough inclined plane.

Use simple applications to connect the rule to the data and decision in the question.

This matters because simple applications determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply simple applications to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Simple applications is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Momentum and impulse.; The Knowledge of Newton’s law of restitution is not required. impulse-momentum principle.; The Problems will be confined to those of a one-dimensional principle of conservation of nature. momentum applied to two particles colliding directly.

Use momentum and impulse to connect the rule to the data and decision in the question.

This matters because momentum and impulse determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply momentum and impulse to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Momentum and impulse is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Coefficient of friction.; An understanding of F = μR when a particle is moving.

Use coefficient of friction to connect the rule to the data and decision in the question.

This matters because coefficient of friction determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply coefficient of friction to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Coefficient of friction is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.