A bucket weighing 100 pounds is filled with sand weighing 500 poundsA crane lifts the bucket from the ground to a point 80 feet in the air at a rate of 2 feet per second, but sand simultaneous leaks out through a hole at 3 pounds per secondNeglecting friction and the weight of the cable, determine how much work is done.I know it's an integral that starts from 0 to 80.
dh/dt 2 ft /sec rate of change of height dm/dt - 3 lb/sec rate of change of mass Work Force x distance g mass change in height Work g(600 + dm/dt) dh/dt Work Integral 0 to 80 of (above equation) dt.or with respect to tYou can take it from there.
Pumpernickel Bread II Rated: 4 out of 5 by 14 members Prep Time: 30 Minutes Cook Time: 1 Hour Ready In: 2 Hours 30 Minutes Yields: 15 servings INGREDIENTS: 2 cups warm milk 2 tablespoons vegetable oil 4 tablespoons molasses 3 1/4 cups bread flour 1 1/3 cups rye flour 1/2 cup cornmeal 1 1/3 teaspoons salt 2 2/3 teaspoons active dry yeast 4 tablespoons unsweetened cocoa powder 2 2/3 tablespoons brown sugar DIRECTIONS: 1Mix well bread flour, rye flour, cornmeal, salt, yeast, cocoa, and brown sugarAdd milk, oil, and molassesMix thoroughlyWhen mixed well enough that the dough holds together, knead by hand 15-20 minutes2Cover, let rise in bowl 30 minutesPunch down, form, and place into 9 1/2x5 inch panCover with damp cloth and let rise about 1 hour3Bake in preheated 375 degree F (190 degrees C) oven 25 to 30 minutes, covering top with aluminum foil last 10 minutes.
