Physics Exam: Units, Physical Quantities, and Vectors PDF

Here’s the **60-item multiple-choice exam** with the correct answers a) 20 km **highlighted**: b) 50 km **c) 58 km** ---...

Here’s the **60-item multiple-choice exam** with the correct answers a) 20 km **highlighted**: b) 50 km **c) 58 km** --- d) 80 km ### **Physics Exam: Units, Physical Quantities, and Vectors** 11. **A force of 10 N acts at an angle of 30° above the horizontal. What is the **Time limit: 1 hour** horizontal component of the force?** **Total items: 60 (1 point each)** a) 5 N **b) 8.66 N** --- c) 10 N d) 15 N #### **Multiple Choice Questions (60 items)** 12. **Which of the following is the correct unit for energy in the SI system?** 1. **Which of the following is NOT a fundamental physical quantity?** **a) Joule** a) Mass b) Newton b) Length c) Watt c) Temperature d) Meter per second **d) Force** 13. **The kilogram is defined as the unit of mass based on:** 2. **The SI unit for time is:** **a) A cylinder of platinum-iridium alloy** a) Minute b) The number of atoms in carbon-12 **b) Second** c) The speed of light c) Hour d) The wavelength of krypton d) Day 14. **A car travels 60 km in 2 hours. What is the car's average speed?** 3. **Which of the following is a scalar quantity?** a) 20 km/h a) Force b) 30 km/h b) Acceleration **c) 40 km/h** **c) Mass** d) 50 km/h d) Velocity 15. **What is the unit of power in the SI system?** 4. **Vectors are quantities that have both:** **a) Watt** a) Magnitude and speed b) Joule b) Speed and direction c) Kilogram **c) Magnitude and direction** d) Newton d) Distance and magnitude 16. **The angle between two vectors A and B is 90°. What is the dot product of 5. **Which of the following is an example of a vector quantity?** A and B?** a) Speed **a) Zero** b) Time b) Maximum c) Temperature c) A + B **d) Displacement** d) Undefined 6. **The SI unit for force is the:** 17. **Which of the following correctly expresses a unit of velocity?** a) Joule **a) m/s** **b) Newton** b) m²/s c) Watt c) m/s² d) Kilogram d) kg·m/s 7. **Which unit is used to measure mass in the SI system?** 18. **Which of the following statements is correct about the direction of a) Newton vectors?** **b) Kilogram** a) Two vectors with different magnitudes can be equal c) Gram b) The direction of a vector is determined only by its magnitude d) Meter **c) Two vectors are equal if they have the same magnitude and direction** d) A vector’s direction can change without affecting its magnitude 8. **The Pythagorean theorem is used to find the magnitude of a resultant vector when:** 19. **The result of multiplying a vector by a positive scalar is:** a) The vectors are parallel **a) A vector with the same direction and increased magnitude** **b) The vectors are perpendicular** b) A vector with the opposite direction and the same magnitude c) The vectors are antiparallel c) A vector with no direction and reduced magnitude d) The vectors have the same magnitude d) A scalar quantity 9. **What is the magnitude of the vector sum of two perpendicular vectors, one 20. **If the x-component of a vector is 8 units and the y-component is 6 units, with a magnitude of 3 units and the other with 4 units?** what is the magnitude of the vector?** a) 1 unit a) 7 units **b) 5 units** **b) 10 units** c) 7 units c) 12 units d) 12 units d) 14 units 10. **If a car moves 50 km east and then 30 km north, what is the magnitude 21. **A 10 N force is applied at 45° to the horizontal. What is the vertical of its displacement?** component of the force?**  a) 5 N **a) 5 m/s²** **b) 7.07 N** b) 7.5 m/s² c) 8 N c) 10 m/s² d) 10 N d) 15 m/s² 22. **The speed of light is exactly defined as:** 33. **Which of the following quantities is a vector?** **a) 3.00 × 10⁸ m/s** a) Mass b) 2.99 × 10⁸ m/s **b) Velocity** c) 299,792 km/s c) Energy d) 300,000 km/s d) Temperature 23. **If vector A has a magnitude of 15 units and vector B has a magnitude of 34. **The distance traveled by light in one second in a vacuum is 10 units, and they are in opposite directions, what is the magnitude of approximately:** their resultant vector?** a) 299,792 kilometers a) 25 units b) 300,000 kilometers **b) 5 units** **c) 3 × 10⁸ meters** c) 1 unit d) 186,000 miles d) 10 units 35. **If the unit for time is the second, what is the SI unit for frequency?** 24. **In physics, a “model” is best described as:** **a) Hertz (Hz)** **a) An idealized version of a system** b) Joules (J) b) A simplified version of a physical theory c) Seconds (s) c) A perfect representation of reality d) Newton (N) d) A small-scale replica of a real object 36. **A plane travels 200 km west and then 150 km south. What is the 25. **A scalar quantity:** magnitude of its resultant displacement?** **a) Has only magnitude** a) 150 km b) Has only direction b) 200 km c) Has both magnitude and direction **c) 250 km** d) Cannot be measured d) 350 km 26. **A displacement vector of 6 km north and 8 km east results in a resultant 37. **If a force of 60 N is applied at an angle of 30° to the horizontal, what is vector with a magnitude of:** the horizontal component of the force?** **a) 10 km** a) 30 N b) 12 km **b) 51.96 N c) 14 km d) 16 km ** c) 60 N 27. **What is the SI unit of temperature?** d) 120 N **a) Kelvin** b) Celsius 38. **Two vectors have equal magnitudes of 5 units and are at an angle of 60°. c) Fahrenheit What is the magnitude of their resultant vector?** d) Joule a) 2.5 units b) 5 units 28. **If a vector is multiplied by a scalar of -2, what happens to the vector?** **c) 8.66 units** a) The magnitude is halved, and the direction is reversed d) 10 units **b) The magnitude is doubled, and the direction is reversed** c) The magnitude is unchanged, but the direction is reversed 39. **What is the unit for work in the SI system?** d) The magnitude is doubled, and the direction remains the same **a) Joule** b) Watt 29. **The cross product of two parallel vectors is:** c) Newton a) Maximum d) Pascal **b) Zero** c) Undefined 40. **A vector quantity differs from a scalar quantity because it includes:** d) Equal to their dot product a) Speed b) Magnitude 30. **In SI units, 1 newton is equal to:** **c) Magnitude and direction** **a) 1 kg·m/s²** d) Mass b) 1 kg·m²/s² c) 1 joule/second 41. **Which of the following prefixes means 1,000,000?** d) 1 kg·m/s a) Kilo **b) Mega** 31. **A force of 100 N is applied to an object and moves it 5 meters. What is c) Giga the work done on the object?** d) Milli a) 20 J b) 100 J 42. **If two vectors of magnitude 10 N and 20 N are added and the resultant is **c) 500 J** 25 N, what is the angle between them?** d) 1000 J **a) 0°** b) 45° 32. **An object accelerates from 5 m/s to 15 m/s in 2 seconds. What is its c) 90° acceleration?** d) 180°  **Dot Product** 43. **Which of the following quantities is dimensionally the same as energy?** * Definition: The dot product of two vectors is a scalar quantity equal to the a) Power product of their magnitudes and the cosine of the angle between them. b) Force * Properties: The dot product is commutative and distributive. **c) Work** d) Velocity **Cross Product** * Definition: The cross product of two vectors is a vector perpendicular to both 44. **A unit vector has a magnitude of:** of them, with a magnitude equal to the product of their magnitudes and the a) 0 sine of the angle between them. **b) 1** * Properties: The cross product is anti-commutative and distributive. c) 10 d) 100 **Triple Product** * Scalar triple product: The scalar triple product of three vectors is a scalar 45. **The sum of two vectors is a minimum when the vectors are:** quantity equal to the volume of the parallelepiped formed by the vectors. a) At right angles * Vector triple product: The vector triple product of three vectors is a vector b) Parallel equal to the cross product of the first vector with the cross product of the **c) Antiparallel** second and third vectors. d) Equal **Applications** 46. **What is the magnitude of a vector whose components are 5 units along * The dot product can be used to find the angle between two vectors, the the x-axis and 12 units along the y-axis?** projection of one vector onto another, and the work done by a force. a) 5 units * The cross product can be used to find the area of a parallelogram, the torque b) 10 units exerted by a force, and the angular momentum of a particle. **c) 13 units** * The triple product can be used to find the volume of a parallelepiped and the d) 17 units equation of a plane. 47. **A particle is moving in a straight line with a velocity of 20 m/s. What is the **Note:** Some parts of the image were unclear or cut off, so the extracted text acceleration if it comes to a stop in 4 seconds?** may not be complete. a) 5 m/s² **b) -5 m/s²** —----------------------------------------------------------------------------------------------------- c) 10 m/s² d) -10 m/s² ## **Formulas from the Image** 48. **What is the magnitude of the resultant vector when two vectors of ### **Vector Addition** magnitudes 7 N and 24 N are added at right angles?** * **Components:** a) 17 N * `v_x = v * cos(θ)` **b) 25 N** * `v_y = v * sin(θ)` c) 30 N * **Magnitude:** d) 31 N * `v = sqrt(v_x^2 + v_y^2)` * **Direction:** 49. **The dot product of two vectors is a scalar quantity that depends on:** * `θ = tan^(-1)(v_y / v_x)` **a) The angle between the vectors** b) The direction of the vectors ### **Dot Product** c) The cross product of the vectors * `a · b = |a| * |b| * cos(θ)` d) The magnitude of the vectors only ### **Cross Product** 50. **Which of the following is true about a vector’s components?** * `a × b = |a| * |b| * sin(θ) * n` a) They can be larger than the vector’s magnitude * where `n` is a unit vector perpendicular to both `a` and `b` (determined by b) They cannot be negative the right-hand rule). **c) They depend on the coordinate system used** d) They always lie along the x-axis ### **Scalar Triple Product** * `a · (b × c) = |a| * |b| * |c| * sin(θ)` —----------------------------------------------------------------------------------------------------- * where `θ` is the angle between `b` and `c`. ## Text from the Image ### **Vector Triple Product** * `a × (b × c) = (a · c) * b - (a · b) * c` **Based on the provided image, here's the extracted text:** **Note:** These formulas are based on the information extracted from the ### Chapter 1: Summary image. If there were any specific formulas or applications you were looking for, please provide more details. **Vector Addition** * Components of a vector: The vector can be represented as the sum of its components along the x and y axes. * Magnitude and direction: The magnitude of a vector is found using the Pythagorean theorem, and the direction is found using trigonometry. * Scalar multiplication: Multiplying a vector by a scalar changes its magnitude but not its direction. * Vector addition: Vectors can be added head-to-tail or by adding their components.