Answer:
R=250 N
α = 38.86⁰
Explanation:
Given that
Force ,F₁ = 150 N (Towards north )
Force ,F₂ = 200 N ( Towards east )
We know that the angle between north and east direction is 90⁰ .
The resultant force R is given as
[tex]R=\sqrt{F_1^2+F_2^2+2F_1F_2cos\theta\\[/tex]
We know that
cos 90⁰ = 0
That is why
[tex]R=\sqrt{150^2+200^2}\\R=250\ N[/tex]
Therefore the magnitude of the forces will be 250 N.
The angle from the horizontal of the resultant force = α
[tex]tan\alpha=\dfrac{150}{200}\\tan\alpha=0.75\\\alpha=38.86\ degrees[/tex]
R=250 N
α = 38.86⁰
