3. Suppose you are trying to lift a 1000 pound block of ice up a 100 foot mineshaft, and the block of ice is secured to a 100 foot rope which weighs 8 pounds per linear foot. The ice is lifted (slowly) at a speed which means that for every foot the ice is lifted, 2 pounds of the ice melts away. Find the total work involved in lifting the block of ice up the mineshaft. Compute the total amount of work done in lifting the ice up the mineshaft. Hint: there are really two calculations to do here - you must lift the block of ice and there is also work involved in lifting the rope securing the block of ice.