# physics

posted by .

A dog searching for a bone walks 4.31 m south, then runs 8.93 m at an angle 22.0 north of east, and finally walks 10.0 m west. Find the magnitude of the dog's resultant displacement vector.

• physics -

The +y (north) component of the sum is
X = -4.31 +8.93 sin 22

The +x (east) component of the sum is
Y = 8.93 cos 22 - 10.0

The magnitude of the displacement vector is sqrt(X^2 + Y^2)

The direction (counterclockwise from east) is arctan Y/X

• history -

Describe how the Cold War ideology that crystallized after WWII changed wartime alliances that had existed during the war?

## Similar Questions

1. ### physics

A dog searching for a bone walks 2.87 m south, then runs 22.5 m at an angle 30.5 north of east, and finally walks 5.91 m west. Find the direction of the dog's resultant displacement vector. Give your answer as an angle in degrees, …
2. ### physics

a dog walks 28 steps north and then walks 55 steps west. if the daog walks back to the starting point in a straight line, how many steps will the dog take?
3. ### Physics

A dog searching for a bone walks 3.50 m south, then 8.20 m north of east, and finally 15.0 m west. (a) What is the magnitude of the dog's total displacement?
4. ### physics

Displacement vector points due east and has a magnitude of 2.69 km. Displacement vector points due north and has a magnitude of 7.91 km. Displacement vector points due west and has a magnitude of 8.64 km. Displacement vector points …
5. ### physics

(a) An object is subjected to two displacements. The displacement vector of the first, V1 , has a magnitude of 186 m at an angle 23° North of East. The second displacement vector, V2 , has a magnitude of 327 m at an angle 43° West …
6. ### physics

⦁ Find the resultant vector (magnitude and direction) for the sum of: vector A which has magnitude 365 N at 48° south of west, vector B which has magnitude 224 N at 26° south of east, and vector C which has magnitude 488 N …
7. ### Physics

A man in search of his dog drives first 13.3 mi northeast, then 17.3 mi straight south, and finally 6.85 mi in a direction 30.3° north of west. 1. a) What is the magnitude of his resultant displacement?
8. ### Physics

A man in search of his dog drives first 13.3 mi northeast, then 17.3 mi straight south, and finally 6.85 mi in a direction 30.3° north of west. a) What is the magnitude of his resultant displacement?
9. ### Physics

A dog runs west for 20m then north for 15m. What is the resultant displacement of the dog graphically and by calculations?
10. ### physics

A dog runs west for 20m then North for 15m. What is the resultant displacement of the dog graphically and by calculations

More Similar Questions