1. Which of the following is not a fundamental SI unit?

2. A pilot intends to fly a plane from point $A$ to point $B$. Due to strong winds, she points the nose of the plane in the direction shown by the vector P. Which of the choices below best represents the direction of the wind encountered by the plane?

A.			B.
C.			D.

3. Vector $d$ makes an angle $\theta$ with the horizontal as shown. Its magnitude is $5m$ and the magnitude of its horizontal component dx is $3m$.

Which of the following is correct about the magnitude and direction of its vertical component?

4. In finding the area of a circular metal plate, a student measures the radius $R$ of the plate and calculates the area to be $A\pm a$, where $a$ is the absolute uncertainty on the area. Which of the following would give the fractional uncertainty on R?

5. An object starting from rest travels a distance $d$ after a time $t$. If $d=(20\pm 1)m$, and the time is measured as $t=(2.0\pm 0.4)s$. Which of the following gives the correct values of the fractional and absolute uncertainties of acceleration?

6. A rectangular prism is obtained by combining two identical cubes as shown in the figure.

The length of one side of a cube is $10.0\pm 0.2cm$.

What is the ratio

[absolute uncertainty of volume of the rectangular prism]/[absolute uncertainty of volume of one cubeabsolute uncertainty of volume of one cube]?

7. An electronic balance has a button with “tare” written on it. The reading of the balance is reset to zero when the “tare” button is pressed. Which of the following gives a reason why use of the “tare” button improves the measurement?

8. A student models the relationship between velocity v of a moving charge in a magnetic field, and the force $F$ acting on it as F=kv, with $k$ being a constant

What are the units for $k$ expressed in fundamental SI units?

9. A car is moving with a kinetic energy of 10^5J.

Estimate the order of magnitude of its momemtum.

10. The mass and circumference of a standard volleyball are 270±10g and 66±1 cm respectively. What is the percentage uncertainty in the density of the ball calculated from these values?

11. An apple falls 5 m in height from a tree. It rebounds from the ground with a quarter of its striking speed. The apple is in contact with the ground for approximately 0.1 $s$. What is an estimate of the magnitude of the average net force on the apple when it strikes the ground?

12. Vectors $X$ and $Y$ are in the shown directions.

Which of the following shows the sum of the two vectors?

A.			B.
C.			D.

13. A spring with spring constant $k$ is extended by a distance $x$.

The uncertainty of $k$ is 2% and that of x is 3%.

What is the uncertainty of the potential energy stored in the spring?

14. A student is using the equation $pV=nRT$ to solve for $n$ with the following percentage uncertainties in the measurements.

What is the percentage uncertainty in the calculated value of n?

15. A body moves a distance of 1.5$km$ in 10 $ks$.

Which of the following gives the correct magnitudes of both of distance and time?

16. How many significant figures are there in 0.000017000?

17. A car moves clockwise in a circular path as shown. The direction of its instantaneous velocity at two different times is shown in the diagram.

Which of the following vectors shows the direction of the change in velocity?

A.			B.
C.			D.

18. Which of the following units is not a unit of power?

19. A ball is projected with an initial speed of 2ms−1 making an angle of 35o with the horizontal as shown.

Which expression gives the vertical component of the velocity vector?

20. An object moves $9m$ east, then $12m$ north.

What is the magnitude of the total displacement of this object?

If there is a set of these spheres that could be melted down, what is the estimated number of spheres required to construct the cube from the material?

22. Which of the following is a vector quantity?

23. An experiment requires the measurement of the radius $R$ and height $H$ of a cylindrical battery to determine its volume. The uncertainty in $R$ is $\Delta R$ and the uncertainty in $H$ is $\Delta H$.

What is the fractional uncertainty in the volume of the battery?

24. A stream flows east with a speed vs. A boat points due south and moves with a speed vo relative to the water.

The ratio vo/vs=1/2

Which of the following is correct about the magnitude in ms^−1 and the angle $\theta$ between the velocity of the boat and the side of the stream?

25. Electrons are accelerated between two conducting plates that have a potential difference of $100V$. Estimate the total energy that would be delivered to 10^21 electrons by the conducting plates.