PHET 2. Vector Addition
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Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.
Learning Goals • Explain vector representations in their own words. • Learn about the polar form of vectors and the component form.
Introduction:
A vector quantity is one that has both a magnitude and a direction. For instance, a velocity vector will have a magnitude (24 m/s) and a direction (northeast or 45 degrees). These simulations will demonstrate how vectors can be summed to produce a resulting vector, and how the acceleration vector affects the velocity vector.
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Part I: Vector Addition Simulation: [pic]
Place two vectors [pic]in the work area. Change their direction and magnitude be dragging the heads of the arrows representing each vector. Click [pic] to view the resultant (sum) of the two vectors. You may click the Styles to show the X and Y components.
Click on one vector and fill in the boxes: [pic]
Click on another vector and fill in the boxes: [pic]
Click the resultant vector and fill in: [pic]
|R| = Magnitude of the vector (M) θ = angle of the vector Rx = X component Ry = Y component
Part II: Finding Resultant Vectors:
|M |angle, θ |X1 |Y1 |
|6.0 |35 | 4.91 | 3.44 |
Vector 2
|M |angle, θ |X2 |Y2 |
|2.5 |20. |2.35 | .86 |
1. COS (35) = .819…; SIN (35) = .573… 2. X= 6.0 * .819… ; Y= 6.0 * .573…
1. COS (20) = .939…; SIN (20) = .342… 2. X=2.5 * .939… ; Y=2.5 * .342…
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