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June 2008 p4 q2
3482
A block is being pulled along a horizontal floor by a rope inclined at 20° to the horizontal. The tension in the rope is 851 N and the block moves at a constant speed of 2.5 m s-1.
(i) Show that the work done on the block in 12 s is approximately 24 kJ.
(ii) Hence find the power being applied to the block, giving your answer to the nearest kW.
Solution
(i) The horizontal component of the tension is given by: