Add forces 1 and 2 = 40N
Magnitude of resultant = root[402+302] = 50N
[Also, this is at an angle of 36.9 degrees to the 30N force]
no, if forces have magnitude gr8er than zero. u can check it in topic vector operation, resultant of 2 forces.
If the opposing forces are pulling exactly opposite of each other, then take the difference of the magnitudes of the two forces (subtract the smaller value from the larger value), and the direction vector of the resultant force is in the same direction as the larger force.
In fact, there is an infinite number of answers because force is a vector, meaning that it has a magnitude and an orientation. For example, if someone pushes horizontaly onto the book (10N) and the friction is 8N in the opposite direction, the resultant force is 2N. But if the book is pushed at an angle, the resultant force changes.
Then the objects will move in the direction of the resultant force.
An easy way to visual this is by drawing a triangle with the vectors. Obviously one vector will be the vertical and another will be perpendicular to that, the horizontal. These two vectors will connect at the ends. Then you connect the other two ends with another vector and that is the resultant. Vector sum, or the square root of the sum of the squares; you use the pythagorem theorem to find the resultant, also the hypotenuse. r2= v12 + v22. The vertical vector squared plus the horizontal squared, you take the root of the sum of the squared vectors and that gives the resultant vector. If the horizontal or vertical vector is negative, then the resultant vector will be negative as well. This is used for any units including velocity, distance, and acceleration.
The magnitude of the resultant of two like parallel forces is the sum of the magnitudes of the forces and its direction will be same as the direction of the parallel forces.
If two forces are in the same direction, then their resultant is also in the same direction, and its magnitude is the sum of the two components' magnitudes.
The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.
When you have two negatives, you add the magnitudes, but since, you have both negatives, the direction of the resultant magnitude is along the negative direction, so you add the magnitude and put the negative sign.
Its magnitude would be the sum of all the magnitudes, and the direction would be the same as the component vectors.
No. The largest possible resultant magnitude is the sum of the individual magnitudes.The smallest possible resultant magnitude is the difference of the individual magnitudes.
The two vectors form the minor legs of a right angled triangle and the resultant is the hypotenuse of the triangle. Its magnitude, therefore, is the square root of the sum of the squared magnitudes of the two vectors.
If they're exactly in the same direction, then the resultant is also in the same direction, and its magnitude is equal to the sum of the two individual magnitudes.
No.
No.
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
They are vectors of equal magnitudes in oppositedirections. When you add them, they cancel out each other.