Lesson 3C.5.1

3C.5.1 Oblique impact of spheres Quiz: Pearson Edexcel Further Maths, Unit 29

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 3C.5.1, Oblique impact of spheres: 20 multiple choice questions for the Pearson Edexcel Further Maths (9FM0), Unit 29: Oblique impact, written with Revision Ninja.

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The 20 questions

  1. In an oblique impact of smooth spheres, what is the line of centres?

    • Line joining centres
    • Tangent at contact
    • Line of motion
    • Perpendicular axis

  2. What happens to velocity components perpendicular to the line of centres in an oblique impact?

    • They become zero
    • They are unchanged
    • They are reversed
    • They are multiplied by e

  3. To which velocity components does Newton's experimental law apply during an oblique impact?

    • Perpendicular components
    • Resultant velocity
    • Parallel components
    • Along line of centres

  4. What happens to the velocity component parallel to a smooth fixed plane when struck obliquely by a sphere?

    • It is reversed
    • It is unchanged
    • It becomes zero
    • It multiplies by e

  5. How is the normal component of velocity affected when a sphere strikes a smooth fixed plane obliquely?

    • Reversed without scaling
    • Unchanged
    • Reversed and multiplied by e
    • Multiplied by e only

  6. In an oblique impact of smooth spheres, what is conserved along the line of centres?

    • Total momentum
    • Total speed
    • Total kinetic energy
    • Coefficient of restitution

  7. What is the speed of a sphere after an oblique impact with a smooth fixed plane?

    • sqrt(e^2 u_t^2 + u_n^2)
    • e * sqrt(u_t^2 + u_n^2)
    • sqrt(u_t^2 + e^2 u_n^2)
    • sqrt(u_t^2 + u_n^2)

  8. A sphere has velocity (6i + 8j) m/s and hits a fixed smooth vertical wall whose normal is along i, with e = 0.5. What is its velocity after impact?

    • -6i + 4j m/s
    • -3i - 8j m/s
    • 3i + 8j m/s
    • -3i + 8j m/s

  9. In the previous setting, what is the speed of the sphere after impact, to 2 decimal places?

    • 10 m/s
    • 8 m/s
    • 8.54 m/s, from sqrt(73)
    • sqrt(41) m/s

  10. In the same setting (speed 10 m/s, e = 0.5), how much kinetic energy per unit mass is lost in the impact?

    • 13.5 J/kg
    • 25 J/kg
    • 36.5 J/kg
    • 50 J/kg

  11. A sphere of mass 2 kg with velocity (5i + 5j) m/s hits a smooth vertical wall with e = 1. What is the impulse on the sphere?

    • -20i N s
    • -10i N s
    • 20i N s
    • -20j N s

  12. A sphere approaches a smooth fixed plane at 30 degrees to the plane with speed 10 m/s, with e = 0.5. What is the component normal to the plane after impact?

    • 2.5 m/s
    • 1.25 m/s
    • 8.66 m/s
    • 5 m/s

  13. Two equal smooth spheres of mass m lie with line of centres along x. Sphere 1 has velocity (4i + 2j) and sphere 2 is at rest. With e = 0.5, what is the velocity of sphere 1 after impact?

    • 2i + 2j
    • i + 2j
    • 3i + 2j
    • i

  14. A sphere moving at 8 m/s makes an angle of 60 degrees with a smooth fixed plane and strikes it, with e = 0.6. What is its speed after impact, to 2 decimal places?

    • 4.16 m/s
    • 5.77 m/s
    • 4.00 m/s
    • 8.00 m/s

  15. A sphere has velocity (3i + 4j) and hits a smooth horizontal plane whose normal is along j, with e = 0.25. What is its velocity after impact?

    • 0.75i - j
    • 3i - 4j
    • 3i - j
    • 3i + 0.25j

  16. Two equal smooth spheres of mass m have line of centres along x. Sphere 1 has velocity 6i and sphere 2 is at rest, with e = 0.8. What is the velocity of sphere 2 after impact?

    • 6.0i m/s
    • 3.0i m/s
    • 4.8i m/s
    • 5.4i m/s

  17. A smooth sphere approaches a smooth fixed plane at 30 degrees to the plane with speed 10 m/s and e = 0.5. What angle does its velocity make with the plane after impact, to 1 decimal place?

    • 30.0 degrees
    • 60.0 degrees
    • 16.1 degrees
    • 8.1 degrees

  18. What is the direction of the impulse exerted by a smooth fixed plane on a striking sphere?

    • Parallel to plane
    • Perpendicular to plane
    • Along angle of reflection
    • Along angle of incidence

  19. Which velocity component remains unchanged during an oblique impact of a sphere with a smooth fixed plane?

    • Parallel component
    • Normal component
    • Vertical component
    • Total velocity

  20. For a perfectly elastic oblique impact with a smooth plane, how do the approach and rebound angles relate?

    • Rebound is smaller
    • They are equal
    • Rebound is larger
    • They are complementary

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