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

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F = ma - Vector Notation
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What is Newton's second law expressed in vector notation?

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

What is the SI unit for the force vector F\mathbf{F}?

Newtons (N)

What is the SI unit for the acceleration vector a\mathbf{a}?

metres per second squared (m/s²)

What two properties do vector quantities possess?

magnitude and direction

How does the direction of the force vector F\mathbf{F} relate to the acceleration vector a\mathbf{a}?

They are in the same direction

In how many dimensions does F=ma\mathbf{F} = m\mathbf{a} typically apply?

2D or 3D

In 2D, how many separate component equations does F=ma\mathbf{F} = m\mathbf{a} split into?

two

In 3D, how many separate component equations result from F=ma\mathbf{F} = m\mathbf{a}?

three

What is the component equation along the x-axis in 2D?

Fx=maxF_x = m a_x

What is the component equation along the z-axis in 3D?

Fz=mazF_z = m a_z

For a 5 kg object with net force 10 i^+20 j^10\,\hat{i} + 20\,\hat{j} N, what is the i^\hat{i} component of a\mathbf{a}?

22 m/s²

Why break vectors into components along axes?

To solve for unknown quantities in 2D/3D

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