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

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

2. The diagram shows a cube of side length 0.010m and a metal sphere of radius $0.5cm$. The image below is not to scale.

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?

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

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

Estimate the order of magnitude of its momemtum.

5. 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 $Y$?

6. 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?

7. How many significant figures are there in 0.000017000?

8. Which of the following is a vector quantity?

9. An apple falls 5m 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?

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

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

12. 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?

13. 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?

14. 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?

15. 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?

16. 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.

17. 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?

18. 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

19. Express 0.04758 to 3 significant figures.

20. 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.

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. 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?

23. 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?

24. 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?

25. 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?