Work and power with forces at an angle

Work and power with forces at an angle Quiz

AQA A-Level Further Maths: Quiz

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  1. 1. A force of 50 N acts at 60∘60^\circ to the direction of motion of a particle that moves 8 m. Find the work done.

    • A. 200200 J
    • B. 346346 J
    • C. 400400 J
    • D. −381-381 J

  2. 2. A tow rope with tension 200 N at 30∘30^\circ above the horizontal pulls a trolley at 4 m s−14\text{ m s}^{-1}. Find the power developed by the rope.

    • A. 400400 W
    • B. 800800 W
    • C. 693693 W
    • D. 924924 W

  3. 3. A 800 kg car climbs a hill with sin⁡θ=120\sin\theta=\frac{1}{20} at a steady 15 m s−115\text{ m s}^{-1} against a 300 N resistance. Find the power (g=9.8g=9.8).

    • A. 4.54.5 kW
    • B. 10.410.4 kW
    • C. 5.95.9 kW
    • D. 20.820.8 kW

  4. 4. A 10 kg box is pulled 5 m up a smooth slope inclined at 30∘30^\circ at constant speed by a force parallel to the slope. Find the work done by the force (g=9.8g=9.8).

    • A. 490490 J
    • B. 4949 J
    • C. 424424 J
    • D. 245245 J

  5. 5. A force of 12 N acts at 90∘90^\circ to the direction of motion of a particle that moves 5 m. Find the work done by the force.

    • A. 6060 J
    • B. 1212 J
    • C. 00 J
    • D. 720720 J

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