In a system where two forces act at an angle of 90 degrees, how do you find the resultant force?
Practice Questions
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Q1
In a system where two forces act at an angle of 90 degrees, how do you find the resultant force?
By adding the forces algebraically
Using the Pythagorean theorem
By taking the average of the two forces
By subtracting the smaller force from the larger force
The resultant force can be found using the Pythagorean theorem since the forces are perpendicular.
Questions & Step-by-step Solutions
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Q
Q: In a system where two forces act at an angle of 90 degrees, how do you find the resultant force?
Solution: The resultant force can be found using the Pythagorean theorem since the forces are perpendicular.
Steps: 5
Step 1: Identify the two forces acting at a 90-degree angle. Let's call them Force A and Force B.
Step 2: Measure the magnitude (strength) of Force A and Force B.
Step 3: Use the Pythagorean theorem, which states that the square of the hypotenuse (resultant force) is equal to the sum of the squares of the other two sides. The formula is: Resultant Force = √(Force A² + Force B²).
Step 4: Plug in the values of Force A and Force B into the formula.
Step 5: Calculate the squares of Force A and Force B, add them together, and then take the square root of that sum to find the resultant force.