1. 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?

2. 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?

3. 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?

4. 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?

5. Which of the following gives the unit for work in fundamental SI units?

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?

7. 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?

8. Which of the following is a vector quantity?

9. As a truck is brought to rest, the brakes apply a force of 5.1×10^3N. Which answer best describes the magnitude of the change in momentum of the truck if the brakes are applied for 3.0 $s$?

10. 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?

11. 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.

12. 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?

13. Express 0.04758 to 3 significant figures.

14. Which of the following is an estimate of the order of magnitude of the radius of the Earth?

15. 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.

16. 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?

17. A point $P$ is subjected to three simultaneous forces of magnitudes FA>FB>FC​. Point $P$ is in equilibrium. Which of the following statements is not always true about the magnitudes of the forces?

• I.	FA​=FB​+FC​
  II.	FA​≤FB​+FC​
  III.	FA​>FB​−FC​

18. 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?

19. 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?

20. A rectangle has length $L=(2\pm 0.1)cm$ and width W=(3 ± 0.2) cm.

What is the uncertainty of the perimeter of the rectangle?

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

Estimate the order of magnitude of its momemtum.

22. 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.

23. 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?

24. An object is moving at constant velocity. Which of the following could be the free-body diagram representing the forces acting on the object?

A.			B.
C.			D.

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