AQA M1 2015 June — Question 1 3 marks

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2015
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMomentum and Collisions
TypeCoalescence collision
DifficultyEasy -1.2 This is a straightforward application of conservation of momentum with all information given directly. Students simply need to write momentum before = momentum after, substitute the given values, and solve a single linear equation for the unknown mass. No problem-solving insight required beyond recognizing this as a standard momentum conservation scenario.
Spec6.03b Conservation of momentum: 1D two particles

1 A child, of mass 48 kg , is initially standing at rest on a stationary skateboard. The child jumps off the skateboard and initially moves horizontally with a speed of \(1.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The skateboard moves with a speed of \(16 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) in the opposite direction to the direction of motion of the child. Find the mass of the skateboard.
[0pt] [3 marks]

Question 1:
AnswerMarks Guidance
Answer/WorkingMarks Guidance
Using conservation of momentum: total initial momentum = 0M1 Must state or use conservation of momentum
\(48 \times 1.2 = m \times 16\)A1 Correct equation with correct signs/directions
\(m = \frac{48 \times 1.2}{16} = 3.6 \text{ kg}\)A1 Correct answer
# Question 1:

| Answer/Working | Marks | Guidance |
|---|---|---|
| Using conservation of momentum: total initial momentum = 0 | M1 | Must state or use conservation of momentum |
| $48 \times 1.2 = m \times 16$ | A1 | Correct equation with correct signs/directions |
| $m = \frac{48 \times 1.2}{16} = 3.6 \text{ kg}$ | A1 | Correct answer |

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1 A child, of mass 48 kg , is initially standing at rest on a stationary skateboard. The child jumps off the skateboard and initially moves horizontally with a speed of $1.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. The skateboard moves with a speed of $16 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ in the opposite direction to the direction of motion of the child. Find the mass of the skateboard.\\[0pt]
[3 marks]

\hfill \mbox{\textit{AQA M1 2015 Q1 [3]}}