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Vectors and Resultant Forces Flashcards

6 cards from real BMST practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. Two forces act on an object: 30 N to the east and 40 N to the north. What is the magnitude of the resultant force?

    Answer: 50 N

    For perpendicular forces, use the Pythagorean theorem: R = √(30² + 40²) = √(900 + 1600) = √2500 = 50 N.

  2. A vector quantity differs from a scalar quantity in that a vector has:

    Answer: Both magnitude and direction

    Vectors have both magnitude (size) and direction (e.g., 10 m/s north). Scalars have only magnitude (e.g., 10 m/s with no direction specified).

  3. A force of 100 N is applied at a 30° angle to the horizontal. What is the horizontal component of this force?

    Answer: 86.6 N

    Horizontal component = F × cos(θ) = 100 × cos(30°) = 100 × (√3/2) ≈ 86.6 N.

  4. If two vectors point in exactly opposite directions and have equal magnitudes, what is the magnitude of their resultant?

    Answer: 0

    Vectors in exactly opposite directions cancel each other. If both have magnitude A, the resultant = A − A = 0. This represents a state of equilibrium.

  5. Which of the following is an example of a vector quantity?

    Answer: Velocity

    Velocity is a vector because it includes both magnitude (how fast) and direction (which way). Temperature, mass, and speed are scalars — they have magnitude only.

  6. A vertical force of 60 N and a horizontal force of 80 N act on the same point. What is the angle the resultant makes with the horizontal?

    Answer: 36.9°

    tan(θ) = opposite/adjacent = 60/80 = 0.75. θ = arctan(0.75) ≈ 36.9°. The resultant is 100 N (using Pythagorean theorem) at 36.9° above horizontal.