Review Questions

1. The number 300,000,000 can be written as

   1. 3 × 10⁶.
   2. 3 × 10⁷.
   3. 3 × 10⁸.
   4. 3 × 10⁹.
   5. 3 × 10^–9.

2. The fundamental SI units for mass, length, and time, respectively, are

   1. newton, meter, minute.
   2. kilogram, meter, second.
   3. pound, foot, hour.
   4. pound, foot, second.
   5. kilogram, centimeter, hour.

3. A millimeter is

   1. 10³ m.
   2. 10² m.
   3. 10¹ m.
   4. 10^–3 m.
   5. 10^–6 m.

4. How many nanometers are in a kilometer?

   1. 10^–9
   2. 10⁹
   3. 10^–12
   4. 10¹²
   5. 10²⁷

5. The data plotted on a graph of distance on the y-axis vs. time on the x-axis yields a linear graph. The slope of the graph is

   1. 
   2. (Δd)(Δt).
   3. 
   4. (∆d) + (∆t).
   5. (∆d) – (∆t).

6. Consider the velocity vs. time graph shown.

   

   The area under the graph from 2 s to 6 s is most nearly

   1. 8.
   2. 16.
   3. 24.
   4. 32.
   5. 36.

7. Data from an experiment shows that kinetic energy is proportional to the square of velocity. The plot of the graph of kinetic energy vs. velocity would be

   1. a straight horizontal line.
   2. a straight diagonal line sloping upward.
   3. a parabola.
   4. a hyperbola.
   5. a circle.

8. The cosine of an angle in a right triangle is equal to the

   1. sine of the angle.
   2. tangent of the angle.
   3. hypotenuse of the triangle.
   4. side adjacent to the angle.
   5. ratio of the side adjacent to the angle and the hypotenuse of the triangle.

9. Which of the following quantities is NOT a vector quantity?

   1. displacement
   2. mass
   3. resultant
   4. equilibrant
   5. 10 km at 30° north of east

10. The resultant of the two displacement vectors 3 m east and 4 m north is

    1. 5 m northeast.
    2. 7 m northeast.
    3. 1 m southwest.
    4. 1 m northeast.
    5. 12 m northeast.

11. 

    The x-component of the vector shown is most nearly (sin 30° = 0.5, cos 30° = 0.87, tan 30° = 0.58)

    1. 10 m.
    2. 5 m.
    3. 8.7 m.
    4. 5.8 m.
    5. 100 m.

12. Two displacement vectors, each having a y-component of 10 km, are added together to form a resultant that forms an angle of 60° from the +x-axis. What is the magnitude of the resultant? (sin 60° = 0.87, cos 60° = 0.5)

    1. 23 m
    2. 40 m
    3. 12 m
    4. 20 m
    5. 30 m