1. 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?

2. 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]?

3. 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?

4. 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?

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 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?

7. 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?

8. 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 $Y$?

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

Estimate the order of magnitude of its momemtum.

10. 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?

11. How many significant figures are there in 0.000017000?

12. 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?

13. 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?

14. 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.

15. 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?

16. 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

17. 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?

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?

19. Which of the following is a vector quantity?

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

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

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

A.			B.
C.			D.

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

23. 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?

24. 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.

25. Express 0.04758 to 3 significant figures.