how much work (in ft lb) is done by a large bucket that can lift 4.5 ton of dirt 14 ft into the air and dump it into a 5.0 yd cubed dump truck?
work=weightdirt*height
To calculate the work done by the large bucket, we can use the formula:
Work = Force × Distance
First, let's determine the force required to lift 4.5 tons of dirt.
Since 1 ton is equal to 2000 pounds, 4.5 tons is equal to 4.5 × 2000 = 9000 pounds.
Next, we need to convert this force into feet-pounds since the work will be in ft-lb.
To do this, we need to multiply the weight in pounds by the distance in feet.
Given that the dirt is lifted 14 ft, the work done can be calculated as:
Work = Force × Distance
= 9000 pounds × 14 ft
Now, we need to convert pounds to feet-pounds. Since 1 pound-force is equal to 1 foot-pound, we don't need to make any conversion.
Therefore, the work done by the large bucket is:
Work = 9000 pounds × 14 ft
Evaluating this equation will give you the answer in foot-pounds.