Question

if two forces 15 Newton and 10 Newton acting perpendicular to each other find the resultant force .​

Answer 1

Explanation:

If the forces act as in the opposite direction then,

F

1

−F

2

=10N...........1

And if they both act as a perpendicular then

F

1

2

+F

2

2

=50N..............2

From equation 1 we get F

1

=10+F

2

put this value in equation 2 then we get,

(F

2

+10)

2

+F

2

2

=50

2

⇒F

2

2

+F

2

2

+100+2F

2

=2500

⇒2F

2

2

+2F

2

−2400=0

⇒F

2

2

+40F

2

−30F

2

−1200=0

⇒F

2

(F

2

+40)−30(F

2

+40)

⇒(F

2

−30)(F

2

+40)

⇒F

2

=30N

Put this value in equation 1 then we get,

F

1

=10+30=40N

Answer 2

Answer:

the resultant force will be 15+10= 25N