The average mass of an automobile in the United States is about 1.440 x 10% g. The mass of a mosquito is 10 mg. The mass of an electron is 9.109 x 10-31 kg. Use order-of-magnitude calculations to estimate how many times more massive
both a mosquito and an automobile are when compared to an electron.

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j