A bucket weighing 100 pounds is filled with 500 pounds of sandA crane lifts the bucket from the ground to a distance of 80 feet at 2ft/sSand simultaneously leaks through a hole in the bucket at 3 pound/sNeglecting the friction and cable weight, how much work is done?
Tomatoes, apples, strawberries, peaches, pears, maybe a little spinach and cooked carrotsSince you have only a blender and not a juicer you won't get good results with most vegetables.
Let x feet the bucket, etcis lifted(Remember weight is the force exerted on a mass due to gravity.) Bucket (without sand): Force 100 lbsLeaking Sand: Force (3 lb/sec) (1 sec/ 2 ft) (x ft) 3x/2 lbsThus, the total force is given by F(x) 100 + (500 - 3x/2) (600 - 3x/2) lbs Work integral(x 0 to 80) (600 - 3x/2) dx (600x - 3x^2/4) {for x 0 to 80} 48000 - 4800 43200 ft-lbI hope this helps!
