Variable forces

Variable forces Quiz

Spec 3.1 · Edexcel International A Level Further Maths: Quiz

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  1. 1. A force of 12t12t N acts on a 33 kg particle which starts from rest. Its speed when t=2t=2 is

    • A. 44 m s−1^{-1}
    • B. 88 m s−1^{-1}
    • C. 1616 m s−1^{-1}
    • D. 2424 m s−1^{-1}

  2. 2. A 11 kg particle has acceleration −4x-4x and v=4v=4 at x=0x=0. Find v2v^2 when x=1x=1.

    • A. 88
    • B. 1616
    • C. 2020
    • D. 1212

  3. 3. A 22 kg particle has resistance 4v4v N and speed 66 m s−1^{-1} at t=0t=0. Its speed when t=ln⁡2t=\ln2 is

    • A. 1.51.5 m s−1^{-1}
    • B. 33 m s−1^{-1}
    • C. 0.750.75 m s−1^{-1}
    • D. 22 m s−1^{-1}

  4. 4. The gravitational force on a body at distance 2R2R from the Earth's centre, compared with its weight at the surface, is

    • A. one half
    • B. one third
    • C. one quarter
    • D. one ninth

  5. 5. For a force that depends on displacement, the acceleration is best written as

    • A. dvdt\frac{dv}{dt}
    • B. vdvdxv\frac{dv}{dx}
    • C. ∫v dt\int v\,dt
    • D. d2vdx2\frac{d^2v}{dx^2}

Quiz