1. A bucket begins holding 25 kg of sand. The bucket is to be lifted to the top of a 25meter tall building by a rope with density 0.2 kg/m. However, the bucket has a hole in it, and leaks 0.1 kgs of sand per each meter it is lifted. Find the work done lifting the bucket and rope to the top of the building. Use 9.8 m/s2 for gravity