Horizontal circular motion

Horizontal circular motion Quiz

Spec 1.1 · Edexcel A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. A particle moves on a circle of radius 2 m at 3 m s⁻¹. What is its angular speed?

    • A. 1.51.5 rad s⁻¹
    • B. 66 rad s⁻¹
    • C. 0.670.67 rad s⁻¹
    • D. 4.54.5 rad s⁻¹

  2. 2. What is the magnitude of the acceleration of a particle moving at 8 m s⁻¹ on a circle of radius 4 m?

    • A. 22 m s⁻²
    • B. 3232 m s⁻²
    • C. 1616 m s⁻²
    • D. 88 m s⁻²

  3. 3. A 2 kg particle moves on a circle of radius 0.5 m at ω=4\omega=4 rad s⁻¹. What is the resultant force on it?

    • A. 44 N
    • B. 88 N
    • C. 3232 N
    • D. 1616 N

  4. 4. A conical pendulum has string length ll and the string makes an angle θ\theta with the vertical. Which gives ω2\omega^2?

    • A. glsin⁡θ\frac{g}{l\sin\theta}
    • B. glcos⁡θ\frac{g}{l\cos\theta}
    • C. gtan⁡θl\frac{g\tan\theta}{l}
    • D. lcos⁡θg\frac{l\cos\theta}{g}

  5. 5. A smooth track of radius 50 m is banked so that tan⁡θ=0.4\tan\theta=0.4. At what speed is there no sideways friction (g=9.8g=9.8)?

    • A. 1414 m s⁻¹
    • B. 196196 m s⁻¹
    • C. 77 m s⁻¹
    • D. 9.99.9 m s⁻¹

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