- #1
espo
two forces of 40N each act on something. the angle is 90 degree between the force. what is the magnitude of their resultant. my answer is 40 n. is that correct.
How Do You Calculate the Resultant Force of Two Perpendicular Forces?
In summary, the magnitude of resultant refers to the overall strength or size of a vector quantity, which is the combination of two or more individual vectors. It is calculated using vector addition and can be represented by a numerical value or a graphical representation. The magnitude of resultant is influenced by the direction and magnitude of the individual vectors, and it is an important concept in various fields such as physics, engineering, and mathematics.
- #2
chroot
Staff Emeritus
Science Advisor
Gold Member
- 10,296
- 41
Hi espo,
The answer to this problem is exactly the same as the answer to the other problem you posted, here:
https://www.physicsforums.com/showthread.php?s=&postid=87756#post87756
I have a feeling your teacher is trying to teach you some general concepts.
- Warren
The answer to this problem is exactly the same as the answer to the other problem you posted, here:
https://www.physicsforums.com/showthread.php?s=&postid=87756#post87756
I have a feeling your teacher is trying to teach you some general concepts.
- Warren
- #3
M98Ranger
- 1,694
- 0
Yes, that is correct. Since the forces are equal in magnitude and perpendicular to each other, the resultant will also have a magnitude of 40N. This can be calculated using the Pythagorean theorem: c^2 = a^2 + b^2, where c is the magnitude of the resultant and a and b are the magnitudes of the two forces. Plugging in the values, we get c^2 = 40^2 + 40^2 = 3200, which gives us a magnitude of 40N for the resultant.
FAQ: How Do You Calculate the Resultant Force of Two Perpendicular Forces?
What is the magnitude of resultant?
The magnitude of resultant is the length or size of the resultant vector, which is the vector that represents the sum of two or more vectors. It is a measure of the strength or intensity of the overall effect of the individual vectors.
How is the magnitude of resultant calculated?
The magnitude of resultant can be calculated using the Pythagorean theorem. This involves finding the square root of the sum of the squares of the individual vector components. Alternatively, it can also be calculated using trigonometric functions and the angle between the vectors.
What does a zero magnitude of resultant indicate?
A zero magnitude of resultant indicates that the vectors are canceling each other out, resulting in no overall effect. This can occur when the vectors are equal in magnitude but opposite in direction.
Can the magnitude of resultant be negative?
No, the magnitude of resultant is always a positive value. Negative values indicate a direction opposite to the chosen reference direction, but the magnitude itself is always positive.
How does the direction of the vectors affect the magnitude of resultant?
The direction of the vectors does not affect the magnitude of resultant, only the direction. The magnitude is solely determined by the individual vector components and the angle between them.