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

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

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. 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?

6. 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?

7. 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?

8. Which of the following is a vector quantity?

9. 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?

10. 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 $s$?

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

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

12. 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?

13. How many significant figures are there in 0.000017000?

14. 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?

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. 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?

17. 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 $Y$?

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

19. 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?

20. Express 0.04758 to 3 significant figures.

21. 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?

22. 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?

23. 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?

24. 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?

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