1. 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?

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. 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 $Y$?

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

5. 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​

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

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

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

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

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

10. 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?

11. 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?

12. 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?

13. 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?

14. 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?

15. 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?

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 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?

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

19. 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?

20. 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?

21. 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 $s$?

22. 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?

23. 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.

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

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

A.			B.
C.			D.

25. 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?