Two forces 4 N and 3 N act at an angle of 90°. The magnitude of their resultant is * (with expaination)
Answers
Explanation:
For this you draw a right angle (90 degrees, perpendicular) triangle, with the two adjacent legs at 3N and 4N respectively. Then the crosswise leg (hypotenuse, opposite side) will have a length of the square root of 3N squared plus 4N squared, i.e. 5N. [3x3 + 4x4 = 9+16 = 25 = 5x5]. One more thing: The angle of the resultant will be the vector sum of the two forces; that angle will be the inverse tangent of 3/4 or 0.75.... hmm, look it up online or on my calculator: 36.86989765 degrees (about 37 degrees) or 0.64350111 radians. There are usually several ways to solve most problems like this; the result should be the same, but it can be expressed using different units.
Hope this help you...
Given : Two forces 4 N and 3 N act at an angle of 90°.
To Find : The magnitude of their resultant
Solution:
Two forces A & B acting at angle α
magnitude of Resultant = √A² + B² + 2ABCosα
A = 3
B = 4
α = 90°
=> Cosα = cos90° = 0
magnitude of their resultant = √3² + 4² + 2.3.4.0
= √9² + 16 + 0
= √25
= 5
magnitude of their resultant is 5N
Learn More:
Two forces 4 newton and F Act at 120 degrees with each other if ...
https://brainly.in/question/11416434
Two forces 2n and 4n are inclined at an angle of 120 find the ...
https://brainly.in/question/13717081