Question

The resultant of two equal forces acting at right angle to each other is 1414 N. Find the magnitude of each force.

please answer me.​

Answer 1

Answer:

1000 N

Explanation:

Magnitude of Resultant (R) of two forces A and B acting at an angle "θ" is given as

• |R| = √[|A|² + |B|² + (2|A||B|Cosθ)]

It's given that:

• |R| = 1414 N
• |A| = |B| = a
• θ = 90°

So,

1414 N = √[a² + a² + (2a²Cos90)]

1414 N = √(2a² + 0)

1414 N = a√2

a = 1414 N / √2

a = 1414 N / (1.414)

a = 1000 N