1. 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 $Y$?

2. 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.

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

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

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

5. 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?

6. 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.

7. 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?

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

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

10. How many significant figures are there in 0.000017000?

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

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

A.			B.
C.			D.

12. 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?

13. Which of the following is a vector quantity?

14. 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?

15. 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?

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

17. 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?

18. 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?

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

What is the uncertainty of the perimeter of the rectangle?

20. 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.

21. Express 0.04758 to 3 significant figures.

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

23. 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?

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

Estimate the order of magnitude of its momemtum.

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?