Q: A car travels at 60 mi/hr. What is its speed in m/s? (1 mile = 1.6 km)

$$60 \times 1.6 \times 1000 \div 3600 = 26.7 m/s$$

Q: A rock has a mass of 1.80 kg and a volume of $$6.0 \times 10$$^{-4}$$ m^3$. What is its density in kg/m^3$?

$$3.0 \times 10$$^{3}$$ kg/m^3$

Q: Which of the following is the correct definition of density?

$$\text{density} = \dfrac{\text{mass}}{\text{volume}}$$

Q: A student walks 1.5 miles east in 5.23 minutes, then 210 ft east in 63 seconds. What is their average speed in m/s? (1 mile = 1609 m, 1 ft = 0.3048 m)

$$\dfrac{1.5 \times 1609 + 210 \times 0.3048}{5.23 \times 60 + 63} \approx 8.9 m/s$$

Q: A vector has a magnitude of 5 m/s and points at an angle of $$42^{\circ}$$ from the x-axis. What is its y-component?

$$5 \times \sin(42$$^{\circ}$$)$$

Q: A displacement vector has a magnitude of 10 m and points at $$29.1^{\circ}$$ from the x-axis. What is its x-component?

$$10 \times \cos(29.1$$^{\circ}$$)$$

Question 1

Which of the following is NOT a base SI unit?

Accepted Answer

liter

Question 2

A car travels at 60 mi/hr. What is its speed in m/s? (1 mile = 1.6 km)

Accepted Answer

$$60 	imes 1.6 	imes 1000 \div 3600 = 26.7 m/s$$

Question 3

Which of the following quantities is a scalar?

Accepted Answer

mass

Question 4

A rock has a mass of 1.80 kg and a volume of $$6.0 	imes 10$$^{-4}$$ m^3$. What is its density in kg/m^3$?

Accepted Answer

$$3.0 	imes 10$$^{3}$$ kg/m^3$

Question 5

Which SI base unit is used to measure electric current?

Accepted Answer

ampere

Question 6

A rectangular piece of sheet metal has a length of 12 mm and a width of 5.98 mm. What is its area, reported with the correct number of significant figures?

Accepted Answer

$$72 mm$^2$$

Question 7

A person is modeled as a rectangular box with height 5.5 ft, width 12 in, and depth 6.0 in. What is the approximate volume in cm$$^3$$? (1 ft = 30.48 cm, 1 in = 2.54 cm)

Accepted Answer

$$78,000 cm$^3$$

Question 8

Which of the following is the correct definition of density?

Accepted Answer

$$	ext{density} = \dfrac{	ext{mass}}{	ext{volume}}$$

Question 9

A student walks 1.5 miles east in 5.23 minutes, then 210 ft east in 63 seconds. What is their average speed in m/s? (1 mile = 1609 m, 1 ft = 0.3048 m)

Accepted Answer

$$\dfrac{1.5 	imes 1609 + 210 	imes 0.3048}{5.23 	imes 60 + 63} \approx 8.9 m/s$$

Question 10

Which of the following is a correct statement about significant figures?

Accepted Answer

The result of a calculation should have as many significant figures as the least precise measurement.

Question 11

A vector has a magnitude of 5 m/s and points at an angle of $$42^{\circ}$$ from the x-axis. What is its y-component?

Accepted Answer

$$5 	imes \sin(42$$^{\circ}$$)$$

Question 12

Which of the following is the correct formula for the magnitude of a vector with components $$a$$ and $$b$$?

Accepted Answer

$$\sqrt{a^2$ + b^2$}$$

Question 13

Which SI base unit is used to measure temperature?

Accepted Answer

kelvin

Question 14

A rectangular piece of sheet metal has a length of 12 mm and a width of 5.98 mm. What is the perimeter, reported with the correct number of significant figures?

Accepted Answer

$$36 mm$$

Question 15

Which of the following is a vector quantity?

Accepted Answer

velocity

Question 16

A displacement vector has a magnitude of 10 m and points at $$29.1^{\circ}$$ from the x-axis. What is its x-component?

Accepted Answer

$$10 	imes \cos(29.1$$^{\circ}$$)$$

Question 17

Which SI base unit is used to measure luminous intensity?

Accepted Answer

candela

Question 18

A rectangular piece of sheet metal has a length of 12 mm and a width of 5.98 mm. What is the length-to-width ratio, reported with the correct number of significant figures?

Accepted Answer

$$2.0$$

Question 19

Which of the following is the correct SI base unit for amount of substance?

Accepted Answer

mole

Units, Velocity, and Uncertainty: Foundational Concepts in Physics I

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