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Mechanics 1
·
Cambridge A-Level
Motion in a straight line
Syllabus Learning Objectives
0 / 29 completed
0%
Learning Outcomes
01
identify the forces acting in a given situation
02
understand the vector nature of force, and find and use components and resultants
03
understand that a contact force between two surfaces can be represented by two components, the normal component and the frictional component
04
use the model of a ‘smooth’ contact, and understand the limitations of this model
05
understand the concepts of limiting friction and limiting equilibrium, recall the definition of coefficient of friction, and use the relationship F = μR or F ≤ μR, as appropriate
06
use Newton’s third law.
07
understand the concepts of distance and speed as scalar quantities, and of displacement, velocity and acceleration as vector quantities
08
appreciate that – the area under a velocity–time graph represents displacement, – the gradient of a displacement–time graph represents velocity, – the gradient of a velocity–time graph represents acceleration
09
use the definition of linear momentum and show understanding of its vector nature
10
use the relationship between mass and weight
11
understand the concept of the work done by a force
12
understand the concepts of gravitational potential energy and kinetic energy
13
understand and use the relationship between the change in energy of a system and the work done by the external forces
14
use the definition of power as the rate at which a force does work
15
find and use components and resultants
16
use the principle that, when a particle is in equilibrium, the vector sum of the forces acting is zero, or equivalently, that the sum of the components in any direction is zero
17
use the relationship F = μR or F ≤ μR, as appropriate
18
sketch and interpret displacement–time graphs and velocity–time graphs
19
use differentiation and integration with respect to time to solve simple problems concerning displacement, velocity and acceleration
20
use appropriate formulae for motion with constant acceleration in a straight line.
21
use conservation of linear momentum to solve problems that may be modelled as the direct impact of two bodies.
22
apply Newton’s laws of motion to the linear motion of a particle of constant mass moving under the action of constant forces, which may include friction, tension in an inextensible string and thrust in a connecting rod
23
solve simple problems which may be modelled as the motion of a particle moving vertically or on an inclined plane with constant acceleration
24
solve simple problems which may be modelled as the motion of connected particles.
25
calculate the work done by a constant force when its point of application undergoes a displacement not necessarily parallel to the force
26
use appropriate formulae
27
use in appropriate cases the principle of conservation of energy
28
use the relationship between power, force and velocity for a force acting in the direction of motion
29
solve problems involving, for example, the instantaneous acceleration of a car moving on a hill against a resistance.