2.2.1 Scalars, vectors and resolving and adding vectors Quiz: Pearson Edexcel Physics, Unit 2

The 20 questions

1. Which of these is a vector quantity?

   • Velocity
   • Speed
   • Distance
   • Mass

2. Which of these is a scalar quantity?

   • Momentum
   • Energy
   • Force
   • Displacement

3. A force of 10 N acts at 30 degrees above the horizontal. What is its horizontal component?

   • 2.5 N
   • 8.7 N
   • 5.0 N
   • 11.5 N

4. The same 10 N force acts at 30 degrees above the horizontal. What is its vertical component?

   • 10 N
   • 2.5 N
   • 5.0 N
   • 8.7 N

5. Two forces of 5 N and 12 N act at right angles to each other. What is the magnitude of the resultant?

   • 13 N
   • 60 N
   • 17 N
   • 7 N

6. Using the forces of 3 N and 4 N acting at right angles, what angle does the resultant make with the 4 N force?

   • 45 degrees from the 4 N force
   • 31 degrees from the 4 N force
   • 37 degrees from the 4 N force
   • 53 degrees from the 4 N force

7. What is the main purpose of resolving a vector into two components?

   • To combine the vector with a scalar quantity.
   • To split the vector into two perpendicular parts that can be analysed separately.
   • To convert the vector into a scalar of equal size.
   • To find the vector's exact time of action.

8. Two coplanar forces of 6 N and 8 N act at right angles. What is the resultant?

   • 48 N
   • 14 N
   • 10 N
   • 2 N

9. Two forces of 4 N and 4 N act at 60 degrees to each other. What is the magnitude of the resultant?

   • 6.9 N
   • 4.0 N
   • 8.0 N
   • 3.5 N

10. A force of 20 N acts at 40 degrees to the horizontal. What is its vertical component?

    • 20 N
    • 15.3 N
    • 6.4 N
    • 12.9 N

11. Which statement about equilibrium of coplanar forces is correct?

    • All the forces must be parallel to each other.
    • The vector sum of the forces is zero, so the components in each direction sum to zero.
    • The sum of the magnitudes of the forces is zero.
    • Each force must individually be zero.

12. A force of 50 N acts at 25 degrees above the horizontal. What is its horizontal component?

    • 45.3 N
    • 54.4 N
    • 21.1 N
    • 50 N

13. Two perpendicular forces of 9 N and 12 N act on a body. Which single force would balance them?

    • 15 N, in the same direction as the resultant
    • 15 N, opposite to the resultant
    • 3 N, in the same direction as the resultant
    • 21 N, opposite to the resultant

14. Two forces of 10 N each act with an angle of 120 degrees between them. What is the magnitude of the resultant?

    • 17 N
    • 0 N
    • 10 N
    • 20 N

15. The component of a force F along an axis that makes an angle theta with the force is:

    • F cos theta
    • F/cos theta
    • F tan theta
    • F sin theta

16. A velocity of 15 m s^-1 acts at 60 degrees above the horizontal. What is its vertical component?

    • 15 m s^-1
    • 17.3 m s^-1
    • 13.0 m s^-1
    • 7.5 m s^-1

17. Which statement about adding vectors is correct?

    • Vectors are added by head-to-tail drawing or by resolving into components, not by simply adding magnitudes.
    • Vectors are added by adding their magnitudes directly.
    • Only vectors that are parallel can be added.
    • Vectors are added by multiplying their magnitudes.

18. Which quantity is a vector?

    • Kinetic energy
    • Momentum
    • Work
    • Power

19. A force of 7 N acts due east and a force of 24 N acts due north. What is the magnitude of the resultant?

    • 17 N
    • 25 N
    • 31 N
    • 168 N

20. A force of 12 N acts at 60 degrees to the horizontal. What is its horizontal component?

    • 10.4 N
    • 6.0 N
    • 20.8 N
    • 12 N

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