AQA M1 2011 June — Question 1 8 marks

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2011
SessionJune
Marks8
PaperDownload PDF ↗
TopicConstant acceleration (SUVAT)
TypeSUVAT single equation: straightforward find
DifficultyModerate -0.8 This is a straightforward SUVAT kinematics problem followed by a basic Newton's second law application. Part (a) requires direct application of v²=u²+2as (with the answer given), then v=u+at. Part (b) is a standard vertical forces problem: T - mg = ma. All steps are routine textbook exercises requiring only recall and substitution, making it easier than average.
Spec3.02d Constant acceleration: SUVAT formulae3.03c Newton's second law: F=ma one dimension

1 A crane is used to lift a load, using a single vertical cable which is attached to the load. The load accelerates uniformly from rest. When it has risen 0.9 metres, its speed is \(0.6 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
    1. Show that the acceleration of the load is \(0.2 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
    2. Find the time taken for the load to rise 0.9 metres.
  1. Given that the mass of the load is 800 kg , find the tension in the cable while the load is accelerating.

1 A crane is used to lift a load, using a single vertical cable which is attached to the load. The load accelerates uniformly from rest. When it has risen 0.9 metres, its speed is $0.6 \mathrm {~m} \mathrm {~s} ^ { - 1 }$.
\begin{enumerate}[label=(\alph*)]
\item \begin{enumerate}[label=(\roman*)]
\item Show that the acceleration of the load is $0.2 \mathrm {~m} \mathrm {~s} ^ { - 2 }$.
\item Find the time taken for the load to rise 0.9 metres.
\end{enumerate}\item Given that the mass of the load is 800 kg , find the tension in the cable while the load is accelerating.
\end{enumerate}

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