Find the resultant of these two vectors: 2.00 * 10^2 units due east and 4.00 * 10^2 units 30.0degrees north of west.
please SHOW me how to do this
We cant do graphical solutions on this site. Sorry. Doesn't your text show that?
can you tell me how to do this?!?!?!
http://en.wikibooks.org/wiki/FHSST_Physics_Vectors:Techniques_of_Vector_Addition
here are the choices:
a. 300 units, 29.8 degrees north of west
b. 581 units, 20.1 degrees north of east
c. 546 units, 59.3 degrees norht of west
or
d. 248 units, 53.9 degrees north of west
To find the resultant of two vectors, we can use the vector addition method. Here's how we can solve this problem step by step:
Step 1: Visualize the Vectors
First, let's visualize the vectors to better understand their directions and magnitudes. The first vector is 2.00 * 10^2 units due east, and the second vector is 4.00 * 10^2 units 30.0 degrees north of west.
Step 2: Draw a Coordinate System
Draw a coordinate system on a piece of paper or imagine a Cartesian coordinate system. Place the origin at the center of the page.
Step 3: Draw the First Vector
Starting from the origin, draw the first vector, which is 2.00 * 10^2 units due east. Since the vector is due east, draw an arrow pointing towards the right side of the page.
Step 4: Draw the Second Vector
Starting from the tail of the first vector, draw the second vector, which is 4.00 * 10^2 units 30.0 degrees north of west. To do this, draw an arrow in the opposite direction of due west (towards the left side of the page), at an angle of 30 degrees from the north direction.
Step 5: Complete the Triangle
Connect the head of the first vector with the tail of the second vector to form a triangle. This triangle represents the two vectors.
Step 6: Measure the Resultant
Using a ruler or straight edge, measure the length of the side of the triangle opposite to the angle you measured in step 4. This side represents the magnitude of the resultant vector.
Step 7: Find the Angle of the Resultant
Using a protractor, measure the angle between the resultant vector and the due east direction. This angle represents the direction of the resultant vector.
Step 8: Calculate the Resultant
Write down the magnitude and direction of the resultant vector in terms of a unit and degrees, respectively.
That's it! You have now found the resultant of the given vectors.