Q: Convert $$6,370,000\ \mathrm{m} to $$scientific notation with the correct number of significant figures.

$$6.37 \times 10^6$\ \mathrm{m}$$

Question 1

Which of the following is a vector quantity?

Accepted Answer

Velocity

Question 2

A runner completes a 400 m lap around a circular track and finishes at the starting point. What is the runner’s displacement?

Accepted Answer

$$0\ \mathrm{m}$$

Question 3

A delivery truck drives 5 km east, then 12 km north. What is the magnitude of the net displacement?

Accepted Answer

$$13\ \mathrm{km}$$

Question 4

Which of the following best describes the difference between distance and displacement?

Accepted Answer

Distance is a scalar, while displacement is a vector.

Question 5

A scientist measures the length of a shell as $$7.2\ \mathrm{cm}$$ using a ruler with millimeter precision. How many significant figures should be reported?

Accepted Answer

2

Question 6

When adding $$18.54$$ and $$106.6$$, what is the correct way to report the answer based on significant figures?

Accepted Answer

$$125.1$$

Question 7

Convert $$6,370,000\ \mathrm{m} to $$scientific notation with the correct number of significant figures.

Accepted Answer

$$6.37 	imes 10^6$\ \mathrm{m}$$

Question 8

A hiker walks 3 km north, then 4 km east. What is the direction of the net displacement relative to north?

Accepted Answer

$$53.1^\circ$$ east of north

Question 9

Which of the following operations is NOT valid for vectors?

Accepted Answer

Adding a vector and a scalar

Question 10

A garden has a circular path of radius $$50\ \mathrm{m}. $$Luis starts at the easternmost point and walks counterclockwise to the southernmost point. What is his net displacement?

Accepted Answer

$$71\ \mathrm{m}$$ south of west

Question 11

Which of the following is the correct vector equation for net displacement when two displacement vectors $$\vec{d}_1$$ and $$\vec{d}_2$$ are added?

Accepted Answer

$$\vec{d}_{net} = \vec{d}_1 + \vec{d}_2$$

Question 12

A UPS driver travels 4 km east, then 3 km west. What is the net displacement along the x-direction?

Accepted Answer

$$1\ \mathrm{km}$$ east

Question 13

Which of the following is NOT a reason why significant figures are important in scientific measurements?

Accepted Answer

They allow for exact values in all calculations.

Question 14

A student multiplies $$3.73 by$$ $$5.7. $$What is the correct way to report the answer using significant figures?

Accepted Answer

$$21$$

Question 15

Which of the following is a scalar quantity?

Accepted Answer

Speed

Question 16

A cyclist rides 10 km north, then 10 km east. What is the total distance traveled and the magnitude of the displacement?

Accepted Answer

Distance: $$20\ \mathrm{km}$$, Displacement: $$14.1\ \mathrm{km}$$

Question 17

Which of the following best describes the process of adding two vectors graphically?

Accepted Answer

Place the tail of the second vector at the tip of the first vector, then draw the resultant from the tail of the first to the tip of the second.

Question 18

A measurement is recorded as $$0.00450\ \mathrm{m}. $$How many significant figures does this value have?

Accepted Answer

3

Question 19

Which of the following is the correct scientific notation for $$0.00032$$ with two significant figures?

Accepted Answer

$$3.2 	imes 10$$^{-4}$$

Question 20

A student walks 8 m east, 6 m north, and then 8 m west. What is the magnitude of the net displacement?

Accepted Answer

$$6\ \mathrm{m}$$

Chapter 1: Representing Motion – Scalars, Vectors, and Measurement in Physics

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