Question

Two forces whose resultant is 100newton are perpendicular to each other. If one of them makes an angle of 60newton with the resultant. Calculate it magnitude

Answer 1

100 N

Step-by-step explanation:

Given that,

Two forces whose resultant is 100newton are perpendicular to each other.

If one of them makes an angle of 60newton with the resultant.

`F_1=100* \sin60=86.60\ N`

and

`F_2=100* \cos60=50\ N`

The magnitude of force,

`F=√(F_1^2+F_2^2) \\\\F=√(86.6^2+50^2) \\\\F=99.99\ N`

or

F = 100 N

So, the magnitude of force is 100 N.