A gardener pushes a lawn roller by applying a constant horizontal force N over a…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A gardener pushes a lawn roller by applying a constant horizontal force F⃗=15i+20j\vec F=15\mathbf i+20\mathbf j N over a level rectangular patch of grass. Starting from the origin, the roller is displaced to the point S(12,5)S(12,5), where the coordinates are in metres. (i) Write the displacement vector OS⃗\vec{OS} of the roller in component form. (ii) Calculate the work done by the gardener in reaching point SS. (iii) Express the work obtained in part (ii) in kilojoules (kJ). (iv) If the roller takes 2525 s to cover the displacement, determine the average power delivered by the gardener during the motion.

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