Exam-Style Problem

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Nov 2014 p41 q7
4024

A block of mass 60 kg is pulled up a hill in the line of greatest slope by a force of magnitude 50 N acting at an angle \(\alpha^\circ\) above the hill. The block passes through points A and B with speeds 8.5 m s\(^{-1}\) and 3.5 m s\(^{-1}\) respectively (see diagram). The distance \(AB\) is 250 m and \(B\) is 17.5 m above the level of \(A\). The resistance to motion of the block is 6 N. Find the value of \(\alpha\).

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