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Two equal forces acting at a point at right angle to each other hav a resultant of 14.14 N. then what is the magnitude of each force ?
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Two equal forces acting at a point at right angle to each other hav a ...
Given:
Two equal forces are acting at a point at right angles to each other.
Resultant force = 14.14 N
To Find:
Magnitude of each force
Solution:
Let's assume the magnitude of each force to be F.
Step 1: Finding the Resultant Force
When two equal forces act at right angles to each other, the resultant force can be calculated using the Pythagorean theorem.
According to the Pythagorean theorem, the square of the hypotenuse (resultant force) is equal to the sum of the squares of the other two sides (individual forces).
Mathematically, it can be represented as:
resultant force^2 = force1^2 + force2^2
In this case, the resultant force is given as 14.14 N. Substituting the values in the equation:
14.14^2 = F^2 + F^2
199.9396 = 2F^2
F^2 = 199.9396 / 2
F^2 = 99.9698
F = √99.9698
F ≈ 9.998 N
Step 2: Magnitude of Each Force
Since the two forces are equal, the magnitude of each force is approximately 9.998 N.
Conclusion:
The magnitude of each force is approximately 9.998 N.
Two equal forces are acting at a point at right angles to each other.
Resultant force = 14.14 N
To Find:
Magnitude of each force
Solution:
Let's assume the magnitude of each force to be F.
Step 1: Finding the Resultant Force
When two equal forces act at right angles to each other, the resultant force can be calculated using the Pythagorean theorem.
According to the Pythagorean theorem, the square of the hypotenuse (resultant force) is equal to the sum of the squares of the other two sides (individual forces).
Mathematically, it can be represented as:
resultant force^2 = force1^2 + force2^2
In this case, the resultant force is given as 14.14 N. Substituting the values in the equation:
14.14^2 = F^2 + F^2
199.9396 = 2F^2
F^2 = 199.9396 / 2
F^2 = 99.9698
F = √99.9698
F ≈ 9.998 N
Step 2: Magnitude of Each Force
Since the two forces are equal, the magnitude of each force is approximately 9.998 N.
Conclusion:
The magnitude of each force is approximately 9.998 N.
Community Answer
Two equal forces acting at a point at right angle to each other hav a ...
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Two equal forces acting at a point at right angle to each other hav a resultant of 14.14 N. then what is the magnitude of each force ?
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Two equal forces acting at a point at right angle to each other hav a resultant of 14.14 N. then what is the magnitude of each force ? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two equal forces acting at a point at right angle to each other hav a resultant of 14.14 N. then what is the magnitude of each force ? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two equal forces acting at a point at right angle to each other hav a resultant of 14.14 N. then what is the magnitude of each force ?.
Two equal forces acting at a point at right angle to each other hav a resultant of 14.14 N. then what is the magnitude of each force ? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two equal forces acting at a point at right angle to each other hav a resultant of 14.14 N. then what is the magnitude of each force ? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two equal forces acting at a point at right angle to each other hav a resultant of 14.14 N. then what is the magnitude of each force ?.
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