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 is a vector quantity?

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

Estimate the order of magnitude of its momemtum.

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

5. 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?

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

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

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. 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 $s$?

10. 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?

11. 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?

12. 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?

13. How many significant figures are there in 0.000017000?

14. 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?

15. 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.

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

17. Express 0.04758 to 3 significant figures.

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 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?

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

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

A.			B.
C.			D.

21. 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?

22. 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?

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

24. 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

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