Neco 2024 Physics Question 15

A smooth horizontal surface supports a block that is pulled by a rope attached to a fixed point above the block, forming a simple pulley system. The rope passes over a single fixed pulley and then down to the block, so that three equal lengths of rope support the block (an ideal block‑and‑tackle with mechanical advantage 3). The load weight is \(500\ \text{N}\). The operator pulls the rope a distance of \(1.8\ \text{m}\) in \(4.0\ \text{s}\) while the load rises \(0.6\ \text{m}\). The system operates with an overall efficiency of \(80\%\). Determine (a) the tension in the input rope and (b) the useful power output delivered to the load. Give the tension to two significant figures and the power to the nearest watt.