1. 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 m s^−1 and the angle $\theta$ between the velocity of the boat and the side of the stream?

2. A student models the relationship between the 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?

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

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

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

A.			B.
C.			D.

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

Estimate the order of magnitude of its momemtum.

6. Two trucks X and Y are pulling a car out of thick mud along a straight path. The only other horizontal force acting on the car is a drag force opposite to the direction of motion. The diagram shows the direction of the force applied by truck X and the direction of motion of the car.

Which of the following vectors shows the direction of the force applied by truck $Y$?

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

8. 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.

9. A spring of negligible mass and length of lolo is attached to a fixed point. When the spring is extended by an external force $F$, the length of the spring increases to $l$. The graph shows how the length of the spring varies with the tension in spring. The tension in the spring is equal to $k\Delta l$, where k is a constant and $\Delta l$ is the extension of the spring.

What are the gradient and y-intercept of the graph?

10. 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.

11. 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.

12. The volume of a cylinder is calculated from the product of its base area and height. The measurement of the height has an uncertainty of 5% and the uncertainty of the diameter is 1%. What is the uncertainty of the volume of the cylinder?

13. 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?

14. 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?

15. Express 0.04758 to 3 significant figures.

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

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

18. 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?

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

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

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

21. 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?

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

23. Which of the following is a vector quantity?

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

25. 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?