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Physics and Measurement
Measurements Basic units of measure Length MeterMass Kilogram (1kg = 2.2lbs) Weight Newton (1kg = 10N) Time Second
Scalar vs. Vector Scalar VectorMeasurement that has magnitude (number) 5m Vector Measurement that has magnitude and direction 5m, east
Scalar vs. Vector Distance Displacement Measurement of lengthMeasurement of distance in a certain direction Vector measured from starting point directly to end point
Distance vs. DisplacementA person walks 2 miles North, then 4 miles East, and finally 2 miles South. Distance = 8 miles Displacement = 4 miles, East
Scalar vs. Vector Speed VelocityAmount of distance traveled in a given amount of time (m/s) Velocity Speed in a direction
Vectors For Force (weight) Ever Electric Field StrengthAt Acceleration The Torque D Displacement M Momentum V Velocity
Vector Components Vectors can be broken down into horizontal and vertical components Right Triangles H Hsinθ θ Hcosθ
Examples Find horizontal and vertical components X = Hcos θX = 20cos 30 X = 17.32m 20m Y Y = Hsin θ 30° Y = 20sin 30 X Y = 10m
Examples Find horizontal and vertical components X = Hcos θX = 4.6cos 60 4.6m X = 2.3m Y Y = Hsin θ Y = 4.6sin 60 60° Y = 3.98m X
Direction Vectors always have a direction N W E S
Direction What if you don’t know which way is north? 90° 180° 0° 270°
Standard Convention 90° 180° 0° 270°
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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