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**Physics and Measurement**

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**Measurements Basic units of measure Length Meter**

Mass Kilogram (1kg = 2.2lbs) Weight Newton (1kg = 10N) Time Second

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**Scalar vs. Vector Scalar Vector**

Measurement that has magnitude (number) 5m Vector Measurement that has magnitude and direction 5m, east

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**Scalar vs. Vector Distance Displacement Measurement of length**

Measurement of distance in a certain direction Vector measured from starting point directly to end point

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**Distance vs. Displacement**

A person walks 2 miles North, then 4 miles East, and finally 2 miles South. Distance = 8 miles Displacement = 4 miles, East

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**Scalar vs. Vector Speed Velocity**

Amount of distance traveled in a given amount of time (m/s) Velocity Speed in a direction

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**Vectors For Force (weight) Ever Electric Field Strength**

At Acceleration The Torque D Displacement M Momentum V Velocity

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Vector Components Vectors can be broken down into horizontal and vertical components Right Triangles H Hsinθ θ Hcosθ

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**Examples Find horizontal and vertical components X = Hcos θ**

X = 20cos 30 X = 17.32m 20m Y Y = Hsin θ 30° Y = 20sin 30 X Y = 10m

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**Examples Find horizontal and vertical components X = Hcos θ**

X = 4.6cos 60 4.6m X = 2.3m Y Y = Hsin θ Y = 4.6sin 60 60° Y = 3.98m X

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Direction Vectors always have a direction N W E S

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Direction What if you don’t know which way is north? 90° 180° 0° 270°

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Standard Convention 90° 180° 0° 270°

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Example A student walks 6m at 0° and then 8m at 90°. What is the resultant displacement? R 8m R= 10m, 53° θ 6m

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