1. 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?

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

3. 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.

4. 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?

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

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

6. 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?

7. 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?

8. Which of the following is a vector quantity?

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

Estimate the order of magnitude of its momemtum.

10. 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 $s$?

11. Express 0.04758 to 3 significant figures.

12. 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?

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

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

A.			B.
C.			D.

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

16. 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.

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 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?

19. 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?

20. 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?

21. 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?

22. 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?

23. 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]​?

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

25. 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?