CAIE M1 2015 November — Question 1 4 marks

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2015
SessionNovember
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicWork done and energy
TypeLifting objects vertically
DifficultyEasy -1.2 This is a straightforward application of basic work-energy formulas (W = mgh, P = W/t) with direct substitution of given values. Requires only recall of standard definitions with no problem-solving insight or multi-step reasoning, making it easier than average but not trivial since students must identify the correct formulas and handle units properly.
Spec6.02a Work done: concept and definition6.02k Power: rate of doing work

1 A weightlifter performs an exercise in which he raises a mass of 200 kg from rest vertically through a distance of 0.7 m and holds it at that height.
  1. Find the work done by the weightlifter.
  2. Given that the time taken to raise the mass is 1.2 s , find the average power developed by the weightlifter.

Question 1:
Part (i):
AnswerMarks Guidance
Answer/WorkingMark Guidance
\(200g \times 0.7\)M1 For using \(WD = mg \times h\)
Work done \(= 1400\) JA1 (2)
Part (ii):
AnswerMarks Guidance
Answer/WorkingMark Guidance
\(1400/1.2\)M1 For using Power \(= WD/\text{Time}\)
Average Power \(= 1170\) WA1\(\checkmark\) (2)
## Question 1:

### Part (i):
| Answer/Working | Mark | Guidance |
|---|---|---|
| $200g \times 0.7$ | M1 | For using $WD = mg \times h$ |
| Work done $= 1400$ J | A1 (2) | |

### Part (ii):
| Answer/Working | Mark | Guidance |
|---|---|---|
| $1400/1.2$ | M1 | For using Power $= WD/\text{Time}$ |
| Average Power $= 1170$ W | A1$\checkmark$ (2) | |

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1 A weightlifter performs an exercise in which he raises a mass of 200 kg from rest vertically through a distance of 0.7 m and holds it at that height.\\
(i) Find the work done by the weightlifter.\\
(ii) Given that the time taken to raise the mass is 1.2 s , find the average power developed by the weightlifter.

\hfill \mbox{\textit{CAIE M1 2015 Q1 [4]}}