F = ma - Vector Notation (Edexcel A-Level Mathematics): Flashcards

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F = ma - Vector Notation
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Newton's 2nd law in vector notation

F=ma\mathbf{F} = m\mathbf{a}

What F\mathbf{F} represents in F=ma\mathbf{F} = m\mathbf{a}

Force vector (in Newtons, N\text{N})

What mm represents in F=ma\mathbf{F} = m\mathbf{a}

Mass of the object (in kg)

What a\mathbf{a} represents in F=ma\mathbf{F} = m\mathbf{a}

Acceleration vector (in m/s2\text{m/s}^2)

Force and acceleration are what type of quantities?

Vector quantities

Two characteristics of vector quantities

Have both magnitude and direction

How do directions of F\mathbf{F} and a\mathbf{a} compare?

Same direction

How is force magnitude related to mass & acceleration?

Proportional to mass and acceleration magnitude

Dimensions F=ma\mathbf{F}=m\mathbf{a} applies to

Multiple dimensions (2D or 3D)

No. of separate equations in 2D for F=ma\mathbf{F}=m\mathbf{a}

Two separate equations

Component equation along x-axis in 2D

Fx=maxF_x = m a_x

Component equation along y-axis in 2D

Fy=mayF_y = m a_y

No. of separate equations in 3D for F=ma\mathbf{F}=m\mathbf{a}

Three separate equations

What does breaking vectors into components help solve for?

Unknown quantities in 2D and 3D problems

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