1 / 8

Scalars vs. Vectors

Scalars vs. Vectors. Scalar quantities have only a magnitude (amount). Vector quantities have a magnitude and a direction. We represent them as arrows . Distance (d): the separation between two points. Is distance a scalar or a vector? _____________

gizi
Download Presentation

Scalars vs. Vectors

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Scalars vs. Vectors

  2. Scalar quantities have only a magnitude (amount). Vector quantities have a magnitude and a direction. We represent them as arrows. Distance (d): the separation between two points. Is distance a scalar or a vector? _____________ Displacement(Δd): A measure of the change in position. Δd = final position – initial position.The sign of the value for indicates the direction. Is displacement a scalar or a vector? ______________

  3. a) what is the distance of Car A from Car B? ___________ b) what is the distance of Car B from Car A? ___________ c) what is the position of Car A? ____________ of Car B? ____________ d) what is the displacement of Car A measured from Car B? ____________ e) what is the displacement of Car B measured from Car A? ____________

  4. Ex: A student walks 5 m east and then 3 m west. • What is the distance (scalar) travelled? • What is the student’s displacement (vector)? • d = 5 m + 3 m = 8 m • Draw the vector arrows: 5 m east 2 m east 3 m west Resultant or “net” vector When adding vectors we use vector addition or the tip-to-tail method.

  5. Ex: A polar bear meanders 275 m east and then turns around and ambles 425 m west. • What was the distance travelled by the bear? b) What was the bear’s displacement?

  6. Start/ Finish 115 m A Ex: A little girl takes her dog for a walk around a city block as shown. • What is the distance travelled? • What is her final displacement? • What was her displacement at B? • What was her displacement at C? N 125 m 125 m C 115 m B

  7. Ok this can get a little confusing… Describe the following angles… 1 2 3 θ θ θ 4 5 6 θ θ θ

  8. Add the following vectors and find their resultant magnitudes and directions. • 15 m East and 25 m North • 220 m North and 80 m West • 2.2 m South and 1.8 m North • 150 m East and 180 m South • 45 m South and 30 m East and 15 m North Remember to add tip-to-tail! When adding vectors does it matter which one you add first?

More Related