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 21 of 22
- A. i+j+k
- B. 4i+3j-2k
- C. i-3j+k
- D. i+2j-2k
Explanation: To determine if a vector is perpendicular to another vector, we can use the dot product.
Correct answer: i+2j-2k- A. Either a=0 or b=0
- B. a/ /b
- C. a+b
- D. /a/=/b/
Explanation: It is property of dot and cross product of vector
Correct answer: Either a=0 or b=0- A. 60 degrees
- B. 45 degrees
- C. 0 degrees
- D. 90 degrees
Explanation: The formula for angular momentum is; L = r × p × sin(θ) where L represents the angular momentum, r is the position vector, p is the linear…
Correct answer: 90 degrees- A. 2i − 4j / √6
- B. 4i − 2j / √10
- C. i − 2j / √5
- D. i − 2j / √7
Explanation: Explanation: Magnitude of 2i - 4j = √(2² + (-4)²) = √20 = 2√5For unit vector = (2i -4j) / 2√5 = i - 2j / √5
Correct answer: i − 2j / √5- A. A null vector
- B. Equal to magnitude of vector B
- C. Twice the magnitude of vector B
- D. Smaller than magnitude of vector B
Explanation: Option C is correct. The difference between vector B and its negative vector -B is equivalent to B - (-B), which simplifies to B + B = 2B.
Correct answer: Twice the magnitude of vector B- A. Fx = 4√3 and Fy = 8
- B. Fx = 8 and Fy = 4√3
- C. Fx = 4√3 and Fy = 4
- D. Fx = 8√3 and Fy = 4
Explanation: The x and y components of a force vector can be found using trigonometric functions: the x-component is given by Fx = F cosθ, and the…
Correct answer: Fx = 4√3 and Fy = 4- A. Zero
- B. 90°
- C. 1
- D. -1
Explanation: Explanation:Since i and k are mutually perpendicular, thus angle is 90°, cos90° = 0, therefore scalar product is zero.
Correct answer: Zero- A. 1.5N
- B. 2.5N
- C. 4.5N
- D. 6.5N
Explanation: Since there are 2 forces, the minimum resultant force is when they are pointing in opposite directions i.e.
Correct answer: 1.5N409. If there are coplanar forces acting on a body to keep it in equilibrium, then these forces are:
- A. Concurrent
- B. Non-concurrent
- C. Parallel
- D. Anti-parallel
Explanation: "A group of forces acting on an object is called a coplanar system of forces if the line of action of all the forces lies in the same…
Correct answer: Concurrent- A. 14 N
- B. 2N
- C. 10N
- D. 48 N
Explanation: When two forces are acting at right angles to each other, the resultant can be calculated by using the Pythagorean Theorem.One of the…
Correct answer: 10N- A. n^= A→/|A|
- B. n^= (A.|A|)-
- C. n^= n^A→
- D. n^= A/A-
Explanation: n^= A→/|A|: This equation represents the unit vector n^ in the direction of the vector A→.
Correct answer: n^= A→/|A|- A. 0.45N
- B. 5N,9N
- C. 20N,25N
- D. 0N,45N
Explanation: maximum resultant: 45 = a + b minimum resultant: 5 = a - b Solve for a in the first equation then substitute it into the second equation…
Correct answer: 20N,25N413. How are the two vectors of the same magnitude oriented to get a resultant of the same magnitude?
- A. 90°
- B. 60°
- C. 45°
- D. 120°
Explanation: 120°: If two vectors of the same magnitude are oriented at 120 degrees to each other, the resultant vector will have a magnitude that is…
Correct answer: 120°- A. One
- B. Two
- C. Three
- D. Four
Explanation: The minimum number of unequal forces whose vector sum can be zero is three. This is known as the triangle law of vector addition.
Correct answer: Three- A. 0°
- B. 90°
- C. 120°
- D. 180°
Explanation: Both vectors have the same magnitude, F, and the resultant is F+F = 2F.
Correct answer: 0°- A. zero
- B. 3
- C. √3
- D. 1.73
Explanation: The three vectors act as shown in the diagram above. According to the head-to-tail rule, the resultant is obtained by joining the head of…
Correct answer: zero- A. Electric field intensity
- B. Gravitational field intensity
- C. Magnetic induction
- D. Electromotive force
Explanation: The correct answer is electromotive force (EMF), which is a scalar quantity.
Correct answer: Electromotive force- A. Couple
- B. Couple arm
- C. Collinear forces
- D. Torque
Explanation: The correct answer is a Couple. A couple consists of two equal, anti-parallel, and nonconcurrent forces that act to produce a rotational…
Correct answer: Couple- A. Two
- B. Three
- C. Four
- D. Five
Explanation: Consider a particle having just one line of force acting on it. This force results in acceleration of the particle disturbing its…
Correct answer: Two- A. Zero
- B. One
- C. Negative One
- D. Two
Explanation: The correct answer is 'One'. When two vectors each have unit magnitude, the dot product is calculated as the cosine of the angle between…
Correct answer: One