Question

if two forces act in opposite direction then their resultant is 10 Newton and if they act mutually perpendicular then their resultant is 50 newtan find the magnitude of both the forces​

Answer 1

Answer:

ANSWER

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

Explanation:

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Answer 2

Answer:

If the forces act as in the opposite direction then,