Please show all step correct answer is given. please match correct answer Questi

Question

Please show all step correct answer is given.

please match correct answer

Question 12 8.33334 out of 8.33334 points Vector n-60 m and points 30° north of east. Vector Selected Answer: 2.0 m n angle 30 north of east. Answers: 2.0 m at an angle 30° north of east. 24,0 m and points 30° south of west. The resultant vector A + B is given by 2.0 m at an angle 60° north of east 10.0 m t an angle 60° east of north 10.0 m at an angle 30° north of east. 10.0 m at an angle 60° north of east. Wednesday, September 12, 2018 1:53:06 PM CDT

Explanation / Answer

Suppose given that Vector is R and it makes angle A with +x-axis, then it's components are given by:

Rx = R*cos A

Ry = R*sin A

Using above rule:

Vector A = 6 m at 30 deg North of east, So

Ax = A*cos theta = 6*cos 30 deg = 5.2 m

Ay = A*sin theta = 6*sin 30 deg = 3 m

Vector B = 4 m at 30 deg South of west, So (Both Bx and By will be negative since vector is in 3rd quadrent)

Bx = -B*cos theta = -4*cos 30 deg = -3.5 m

By = -B*sin theta = -4*sin 30 deg = -2 m

So

A + B = (Ax + Bx) i + (Ay + By) j

A + B = (5.2 - 3.5) i + (3 - 2) j

A + B = 1.7 i + 1 j

|A + B| = sqrt (1.7^2 + 1^2) = 1.97 m = 2.0 m

Direction = arctan (1/1.7) = 30.46 deg

Since A + B, is in 1st quadrent, So angle will be north of east

Which means

A + B = 2.0 m at an angle 30 deg North of East

Please Upvote.

Comment below if you have any doubt.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.