Question

In: Physics

Two forces, F⃗ 1F→1F_1 and F⃗ 2F→2F_2, act at a point. F⃗ 1F→1F_1 has a magnitude...

Two forces, F⃗ 1F→1F_1 and F⃗ 2F→2F_2, act at a point. F⃗ 1F→1F_1 has a magnitude of 9.80 N and is directed at an angle of 65.0 degrees above the negative x axis in the second quadrant. F⃗ 2F→2F_2 has a magnitude of 5.80 N and is directed at an angle of 53.0 degrees below the negative x axis in the third quadrant.

A) What is the x component of the resultant force? Express your answer in newtons.

B) What is the y component of the resultant force? Express your answer in newtons.

C)What is the magnitude of the resultant force? Express your answer in newtons.

Expert Solution

Solution:

The two forces are;

& .

acts at below -ve x axis.

acts at above -ve x axis.

Let the resultant force be .

From the figure above, we have;

(A)

Let the x component of resultant force be .

Thus, we have, in x direction.

(B)

Let the y component of resulatnt force be .

Thus, we have, in y direction.

(C) The magnitude of resultant force is given by,

genius_generous answered 1 year ago

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