Question

Using PhET: Vector Addition simulator in 2D settings:

V Sum 15 17.0 a 0.0 17.0 0.0 O Values Components X 20 1 21 Vector Addition PRET: Explore D Em 20 LE

In the image above is shows vector s numbers after vector a was decreased to 7 and brought to angle 0.

Now, change the length of ! a so that it is 7 units in length and is pointed along the +x-axis. You will move ! a without changing its length and fill out the following table. The sum (! s) is the resultant. If you click on this arrow the simulation will tell you its length and angle. In the table on the next page indicate the magnitude (length) of ! s and the direction of ! s using a positive angle between 0◦−360◦.

What are the following magnitude and directions of vector s when vector a is at angle 0, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380 (in degrees)??

Answer 1

Let there which are "s 3. Thuis of the the angle between them is o, be tulo rectous à and te to le added and the resultant e then eos the Te from secangle law of rector addition åt2 = 3 ..131- Tă 12+)2,1 - 21a"||| \x ahore 13l is magnitude of the resultant shus if we vary the angle of ă ne thout changing els 131 changes. We list values of 131 for natues different a magnitude, then as given below :-

Sum - 151 16.0 A 16.3 S, 15.4 Sy 4.5 Values QQo ko Components 20 since vector a and vector b could not be rotated easily on desired angles, we use vector d and e with magnitude 7 and 10 respectively and the resultant is vector s. 10 16.3° à a е 40.0° e + x 0.0° 10 20 30 40 Ao Vector Addition PHIET: Explore 1D Explore 2D Lab Equations

Sum - - 151 6.5 A -44.1 SX 4.6 -4.5 Values VO ko Components 20 10 10 -44.10 ē 10- x ago 10 20 30 40 -140.0° A. Vector Addition PHIET: Explore 1D Explore 2D Lab Equations

File Home Insert Page Layout Formulas Data Review View Help Tell me what you want to do 4 Share 15 X fit A B с D E G H K L M N 0 Р Q * e between d and e lål = là1 151 = lel (in degree) 31 F angle i.e. direction of s with respect to horizontal (in degree º) 17 0 1 2 7 10 0 3 20 16.7 8.2 4 40 16 16.3 5 60 14.8 24.2 6 80 13.2 31.6 7 100 11.2 38.1 8 120 8.9 43 9 140 44.1 6.5 4.2 10 160 35 11 180 3 0 200 4.2 -35 12 13 6.5 220 240 -44.1 -43 14 8.9 15 260 11.2 16 280 300 13.2 14.8 17 -38.1 -31.6 -24.2 -16.3 -8.2. 18 320 16 16.7 19 340 360 20 17 0 21 380 16.7 8.2 22 Sheet1 : 1 E Ready + 100%