Question

g If the x-component of a force vector is 5.69 newtons and its y-component is 8.00 newtons, then what is its magnitude?

Answer 1

Answer:

F = 9.82 N

Explanation:

given,

Force x-component = 5.69 N

Force y-component = 8 N

magnitude of force = ?

Resultant of force

$F = \sqrt{F_x^2 + F_y^2}$

$F = \sqrt{5.69^2 + 8^2}$

$F = \sqrt{32.3761 + 64}$

$F = \sqrt{96.3761}$

F = 9.82 N

Hence, the magnitude of force is equal to 9.82 N

Answer 2

Answer:

Magnitude of resultant force will be 9.816 N      

Explanation:

We have given x-component of the force vector is 5.69 N

So x component $F_x=5.69N$

y component of force vector is 8 N

So y component will be $F_Y=8N$

We have to find the magnitude of the resultant force

Resultant force will be vector sum of x and y component of the forces

So $F=F_xi+F_Yj=5.69i+8j$

So resultant magnitude will be $F=\sqrt{F_x^2+F_y^2}=\sqrt{5.69^2+8^2}=9.816N$

So magnitude of resultant force will be 9.816 N