A students adds two vectors with magnitude of 200 and 40 , what is the resultant ?!
If there is no angle between the vectors, the sum = 200 + 40 = 240.
To find the resultant of two vectors, we need to consider both magnitude and direction.
Given that the two vectors have magnitudes of 200 and 40, we can represent them as:
Vector A: magnitude = 200
Vector B: magnitude = 40
To find the resultant, we need to add these vectors. To do this, we can use vector addition.
1. Draw vector A with a magnitude of 200, and draw vector B with a magnitude of 40, starting from the same point.
-----> A (200)
-----> B (40)
2. Next, connect the ending point of vector A to the starting point of vector B with a straight line.
-----> A (200)
\
\
\
\
\
-----> B (40)
3. The resultant vector is the vector that starts from the beginning of vector A and ends at the end of vector B.
-----> A (200)
\
\
\
\
\
------> Resultant
To find the magnitude of the resultant, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the resultant vector, vector R, forms a right triangle. The magnitude of the resultant, R, can be found using the equation:
R^2 = A^2 + B^2
Substituting the values:
R^2 = 200^2 + 40^2
R^2 = 40000 + 1600
R^2 = 41600
Taking the square root of both sides:
R ≈ √41600
R ≈ 204.1
Therefore, the magnitude of the resultant vector is approximately 204.1.
To find the resultant of the two vectors, you can use the vector addition method.
Step 1: Start by drawing the vectors on a coordinate system. Let's say the first vector has a magnitude of 200 units and the second vector has a magnitude of 40 units.
Step 2: Choose a scale for the plot so that you can accurately measure the lengths of the vectors.
Step 3: Draw the first vector starting from the origin (0,0). Make sure to draw it in the correct direction according to its given magnitude.
Step 4: Next, draw the second vector starting at the arrowhead of the first vector. Again, be sure to draw it in the correct direction according to its magnitude.
Step 5: To find the resultant vector, draw an arrow from the origin to the arrowhead of the second vector.
Step 6: Measure the magnitude of the resultant vector by comparing it to the scale you chose in Step 2.
Step 7: Read the magnitude value from the scale and note it down. This will give you the magnitude of the resultant vector.
In this case, since the magnitude of the first vector is 200 units and the magnitude of the second vector is 40 units, you can draw both vectors on a coordinate system, measure the magnitude of the resultant vector, and find the answer.