CHAPTER 5 TEST Two Dimensional Motion

What is the main difference between vectors and scalars?

• Vectors have only magnitude, while scalars have magnitude and direction.

• Vectors have magnitude and direction, while scalars have only magnitude.

• Vectors have only direction, while scalars have magnitude and direction.

• Vectors and scalars both have magnitude and direction.

In vector addition, what happens if you add the same two vectors in a different order?

• The resultant vector will change

• The resultant vector will remain the same

• The vectors will cancel each other out

• The vectors will double in magnitude

What theorem is used to find the magnitude of the resultant vector when forces act at a right angle to one another?

• Pythagorean theorem

• Newton's law

• Archimedes' principle

• Bernoulli's equation

In which direction does the vector \( R \) point in the given example?

• 7° north of east

• 7° south of east

• 7° east of north

• 7° west of south

What tool is used to measure the direction of vector \( R \)?

• Compass

• Protractor

• Ruler

• Scale

What is the magnitude of vector B in the woman's trip?

• 27.5 m

• 30.0 m

• 50.0 m

• 68.0 m

What method is used to draw the resulting total velocity vector in the worked example?

• Tail-to-head method

• Head-to-tail method

• Parallel vector method

• Perpendicular vector method

Vector \( \vec{A} \), having magnitude 2.5 m, pointing 37° south of east and vector \( \vec{B} \) having magnitude 3.5 m, pointing 20° north of east are added. What is the magnitude of the resultant vector?

• 1.0 m

• 5.3 m

• 5.9 m

• 6.0 m

True or False—A person walks 2 blocks east and 5 blocks north. Another person walks 5 blocks north and then two blocks east. The displacement of the first person will be more than the displacement of the second person.

• True

• False

What is the sine of angle θ in a right triangle?