Q: A projectile is launched at an angle of $$30^\circ$$ with an initial velocity of 20 m/s. What is the horizontal component of its velocity?

$$20 \times \cos(30^\circ) = 17.3 m/s$$

Q: If a vector has a magnitude of 10 units and points at $$45^\circ in $$the unit circle, what are its x and y components?

$$10 \times \cos(45^\circ) = 7.07$$ units, $$10 \times \sin(45^\circ) = 7.07$$ units

Q: A projectile is launched horizontally from a height of 20 m. How long does it take to hit the ground? (Assume $$g = 9.8 m/s$^2)$$

$$\sqrt{\frac{2 \times 20}{9.8}} = 2.02 s$$

Q: Which of the following is NOT a correct unit for momentum?

$$\text{kg}\cdot\text{m}^2/\text{s}$$

Question 1

How many significant figures are in the measurement 0.00450 kg?

Accepted Answer

3

Question 2

Which of the following correctly represents the units for acceleration?

Accepted Answer

$$	ext{m/s}^2$$

Question 3

A car travels at a speed of 90 km/h. Convert this speed to m/s.

Accepted Answer

25 m/s

Question 4

In the unit circle, which quadrant has negative x values and positive y values?

Accepted Answer

Quadrant II

Question 5

Given the equation $$\Delta v = \frac{F_n \cdot \Delta t}{m_i}$$, what are the units for $$\Delta v$$?

Accepted Answer

$$	ext{m/s}$$

Question 6

When adding 2.34 and 0.056, what is the correct answer with proper significant figures?

Accepted Answer

Question 7

A block has a mass of 500 g and a volume of 250 cm$$^3. $$What is its density in kg/m$$^3$$? (1 g = 0.001 kg, 1 cm$$^3 = 0.000001 m$^3)$$

Accepted Answer

2000 kg/m$$^3$$

Question 8

Which of the following statements about density is correct?

Accepted Answer

Density acts as a ratio and cannot be converted unless told otherwise.

Question 9

If you are given a conversion factor, what is the correct method to convert units?

Accepted Answer

Multiply by the conversion factor.

Question 10

Calculate the volume of a sphere with radius 2.0 m using $$V_{	ext{sphere}} = \frac{4}{3}\pi r^3$.

Accepted Answer

33.5 m$$^3$$

Question 11

A projectile is launched at an angle of $$30^\circ$$ with an initial velocity of 20 m/s. What is the horizontal component of its velocity?

Accepted Answer

$$20 	imes \cos(30^\circ) = 17.3 m/s$$

Question 12

If a triangle has sides of 3 m, 4 m, and 5 m, what is the area of the triangle?

Accepted Answer

6 m$$^2$$

Question 13

A ball is thrown vertically upward with an initial velocity of 15 m/s. How long does it take to reach its maximum height? (Assume $$g = 9.8 m/s$^2)$$

Accepted Answer

$$\frac{15}{9.8} = 1.53 s$$

Question 14

A student measures the length of a table as 2.345 m. How many significant figures are in this measurement?

Accepted Answer

4

Question 15

Which prefix represents $$10^{-3}$$?

Accepted Answer

milli-

Question 16

A runner completes a lap in 2 minutes. How many seconds is this?

Accepted Answer

120 s

Question 17

If a vector has a magnitude of 10 units and points at $$45^\circ in $$the unit circle, what are its x and y components?

Accepted Answer

$$10 	imes \cos(45^\circ) = 7.07$$ units, $$10 	imes \sin(45^\circ) = 7.07$$ units

Question 18

A box has a density of 1.5 g/cm$$^3. $$What is its density in kg/m$$^3$$? (1 g = 0.001 kg, 1 cm$$^3 = 0.000001 m$^3)$$

Accepted Answer

1500 kg/m$$^3$$

Question 19

A projectile is launched horizontally from a height of 20 m. How long does it take to hit the ground? (Assume $$g = 9.8 m/s$^2)$$

Accepted Answer

$$\sqrt{\frac{2 	imes 20}{9.8}} = 2.02 s$$

Question 20

Which of the following is NOT a correct unit for momentum?

Accepted Answer

$$	ext{kg}\cdot	ext{m}^2/	ext{s}$$

Physics-1 Study Guide: Units, Vectors, Significant Figures, and Introductory Motion Concepts

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