Question

If two forces act in opposite direction and their resultant is 10N and if they act mutually perpendicular their resultant is 50N .Find magnitude of both forces

Answer 1

the forces are 30 N and 40 N

Answer 2

Explanation:

Let-:

The magnitude of forces be A and B

Then-:

According to Question

=> A - B = 10

=> A = 10 + B..............(1)

And-:

$= > \sqrt{ {A}^{2} + {B}^{2} } \\ = > 50$

Now-:

$= > {A}^{2} + {B}^{2} = 2500......(2)$

Solving equation number (1) & (2)

A = 40N

B = 30N

Therefore-:

The magnitudes forces are 40N and 30N.