Successive direct impacts

Successive direct impacts Quiz

Spec 4.2 · Edexcel A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. A ball hits the floor with coefficient of restitution 0.50.5 and first rebounds to a height of 1.61.6 m. Find the height of the second rebound.

    • A. 0.80.8 m
    • B. 0.40.4 m
    • C. 0.20.2 m
    • D. 0.10.1 m

  2. 2. A ball dropped from height hh rebounds to 0.36h0.36h. Find ee.

    • A. 0.360.36
    • B. 0.180.18
    • C. 0.720.72
    • D. 0.60.6

  3. 3. A sphere moving at 88 m s−1^{-1} hits an equal sphere at rest with e=0.5e=0.5. Find the speed of the second sphere.

    • A. 66 m s−1^{-1}
    • B. 44 m s−1^{-1}
    • C. 88 m s−1^{-1}
    • D. 22 m s−1^{-1}

  4. 4. A ball hits a floor at 1010 m s−1^{-1} with e=0.6e=0.6, rebounds and falls back to the floor. Find its speed just after the second impact.

    • A. 66 m s−1^{-1}
    • B. 4.84.8 m s−1^{-1}
    • C. 3.63.6 m s−1^{-1}
    • D. 2.162.16 m s−1^{-1}

  5. 5. After two impacts, AA moves at 33 m s−1^{-1} and BB at 1.51.5 m s−1^{-1}, in the same direction, with AA behind BB. What happens?

    • A. No further collision, because BB is moving more slowly
    • B. AA catches BB and they collide again
    • C. No further collision, because e<1e<1
    • D. They collide again, because momentum is conserved

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