Learning Target 7: I can compute the work done by a variable force. I can compute the total force on a plane surface due to hydrostatic pressure. 1. A bucket has a mass of 36 kg when filled with water is lifted from the bottom of a well that is 20 m deep. The bucket has a hole in it, though, so its mass is only 18 kg when it reaches the top of the well. Assume that the water leaks from the bucket at a constant rate, and that the rope has a linear mass density of \(\lambda=0.95\mathrm{~kg}/\mathrm{m}\). Find the amount of work required to lift the bucket from the bottom of the well to the top. Remember: excluding units in applied problems is unacceptable.