Which of the following could be reasonable explanations for how a piece of invisible tape gets charged? select all that apply.
(1) protons are pulled out of nuclei in one tape and transferred to another tape.
(2) charged molecular fragments are broken off one tape and transferred to another.
(3) electrons are pulled out of molecules in one tape and transferred to another tape.
(4) neutrons are pulled out of nuclei in one tape and transferred to another tape.

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