Further Mathematics · Pearson Edexcel 9FM0 · Option FM1 · Topic 1

Momentum and impulse

Momentum and impulse, in one and two dimensions, and how momentum is conserved in collisions.

  • 2 sub-topics
  • 1 in Year 12, 1 in Year 13
  • 33 practice questions
  • 2 animated lessons
Practice questions (33) Lessons Worksheets All Edexcel Further Mathematics topics

What the specification says

Every sub-topic Pearson Edexcel can examine in this topic, with its reference number from the official specification. The Y12 and Y13 tags show when each sub-topic is usually taught.

  1. 1.1Momentum and impulseY12
  2. 1.2Momentum as a vectorY13

Try 2 questions

Easy and medium questions from this topic, each with a worked solutions and the mark for every step. All 33 questions in this topic, free, no account needed.

Momentum and impulse

Easy

Impulse · Year 12 · 1 mark

  1. A ball of mass 0.5 kg hits a wall at 10 m s⁻¹ and rebounds along the same line at 4 m s⁻¹. What is the magnitude of the impulse on the ball?
    (1)

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  1. The velocity changes direction, so the change in momentum is m(u+v)m(u + v).BB: 7.00 N s7.00\ \mathrm{N\,s}

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Momentum and impulse

Medium

Momentum and impulse · Year 12 · 6 marks

A ball of mass 0.2 kg moves horizontally with speed 10 m s⁻¹ towards a vertical wall. It hits the wall directly and rebounds with speed 4 m s⁻¹.
  1. (a)
    Find the magnitude of the impulse exerted on the ball by the wall.
    (3)
  2. (b)
    The ball is in contact with the wall for 0.02 s. Find the average force exerted by the wall.
    (1)
  3. (c)
    Find the kinetic energy lost in the impact.
    (2)
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Part (a)3 marks

  1. Take the rebound direction as positive: the velocity changes sign.I=m(v−u)=0.2(4−(−10))I = m(v - u) = 0.2(4 - (-10))
  2. =2.8 N s= 2.8\text{ N s}

Part (b)1 mark

  1. Impulse = force × time.2.80.02=140 N\frac{2.8}{0.02} = 140\text{ N}

Part (c)2 marks

  1. 12(0.2)(102−42)\tfrac{1}{2}(0.2)(10^2 - 4^2)
  2. =8.4 J= 8.4\text{ J}

Total6

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