Free Vectors and Equilibrium MCQs with Answers
431 Vectors and Equilibrium MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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Read the Vectors and Equilibrium notesFree MDCAT chapter notes with key terms431 questions · page 8 of 22
- A. Force, kinetic energy
- B. Velocity,acceleration
- C. Acceleration, displacement
- D. mass and momentum
Explanation: This is the correct answer. Force is a vector quantity because it has both magnitude (size) and direction.
Correct answer: Force, kinetic energy- A. 6km/h
- B. 12km/h
- C. 10km/h
- D. 2km/h
Explanation: Here is the explanation of the correct option
Correct answer: 6km/h- A. 10√5N
- B. 5√5N
- C. 5N
- D. 10N
Explanation: Here is the explanation of the correct option
Correct answer: 10√5N- A. Division of vectors.
- B. Addition of vectors.
- C. Subtraction of vectors.
- D. Multiplication of vectors.
Explanation: The correct answer is addition of vectors. When the tail of the first vector coincides with the head of the second vector, they are…
Correct answer: Addition of vectors.- A. Be reversed.
- B. Be changed by 45o
- C. Be changed by 90o
- D. Remain the same.
Explanation: When a vector is multiplied by a negative number, its direction is reversed.
Correct answer: Be reversed.- A. First quadrant.
- B. Second quadrant.
- C. Third quadrant.
- D. Fourth quadrant.
Explanation: In the Cartesian coordinate system, the third quadrant is characterized by both x and y components being negative.
Correct answer: Third quadrant.- A. 1
- B. 0
- C. X
- D. -X
Explanation: The correct answer is Y = -X. A vector's direction is indicated by its sign.
Correct answer: -X- A. 2
- B. 3
- C. 4
- D. 5
Explanation: The head-to-tail rule for vector addition states that vectors can be added by placing them head to tail, and the resultant vector is drawn…
Correct answer: 3- A. τ = 0
- B. 0 < τ < 1
- C. τ = 1
- D. 1 < τ < 2
Explanation: The correct answer isτ = 0. For a bridge anchored on two concrete pillars, it is expected to be in static equilibrium, meaning the net…
Correct answer: τ = 0- A. Equal in magnitude but opposite in direction
- B. Unequal in magnitude
- C. Only rightward forces exist
- D. Only leftward forces exist
Explanation: The first condition of equilibrium, also known as translational equilibrium, states that the sum of all forces acting on an object must be…
Correct answer: Equal in magnitude but opposite in direction- A. Unit vector
- B. Null vector
- C. Equal vector
- D. Position vector
Explanation: The correct answer is a position vector. A position vector is used to describe the position of a point in a coordinate system relative to…
Correct answer: Position vector- A. First - The Vector sum of all the torques is zero
- B. Second - The Vector sum of all the forces is zero
- C. First - The Vector sum of all the momenta is zero
- D. Second - The Vector sum of all the torques is zero
Explanation: First Condition of Equilibrium:The vector sum of all forces acting on an object is zero.
Correct answer: Second - The Vector sum of all the torques is zero- A. I quadrant
- B. II quadrant
- C. III quadrant
- D. IV quadrant
Explanation: The Cartesian plane is divided into four quadrants. In the II quadrant, vectors have a negative x-component and a positive y-component.
Correct answer: II quadrant- A. Z-axis.
- B. Vertical axis.
- C. Rotational axis.
- D. Horizontal axis.
Explanation: In a Cartesian plane, the x-axis is known as the horizontal axis because it runs horizontally from left to right.
Correct answer: Horizontal axis.- A. I quadrant
- B. II quadrant
- C. III quadrant
- D. IV quadrant
Explanation: In a Cartesian coordinate system, the quadrants are determined by the signs of the x and y coordinates.
Correct answer: III quadrant- A. -1
- B. 0
- C. 1
- D. 2
Explanation: The scalar product (also known as the dot product) of two vectors is calculated as the product of the magnitudes of the two vectors and…
Correct answer: 0- A. Parallel vectors
- B. In any direction.
- C. Antiparallel vectors
- D. Perpendicular to each other.
Explanation: The scalar product or dot product of two vectors is given by a · b = |a||b|cosθ, where θ is the angle between the vectors.
Correct answer: Parallel vectors158. If the dot product of two vectors (X and Y) is zero, then which of the following conditions is TRUE?
- A. Both vectors are opposite in direction
- B. Both vectors are parallel to each other
- C. The vectors are orthogonal to each other
- D. Either of the two vectors is a null vector
Explanation: The correct answer is that the vectors are orthogonal to each other. The dot product of two vectors is zero when the angle between them is…
Correct answer: The vectors are orthogonal to each other- A. 1
- B. 0
- C. -1
- D. √2
Explanation: The dot product of two vectors is calculated as |A||B|cos(θ), where θ is the angle between the vectors.
Correct answer: 0- A. Linear momentum
- B. Angular momentum
- C. Force
- D. Electric flux
Explanation: Angular momentum is an example of a vector product of two vectors. The angular momentum of an object is given by the cross product of its…
Correct answer: Angular momentum