Which statement best describes longitudinal waves?
a. particles of the wave medium move perpendicular to the direction of propagation of the wave.
b. longitudinal waves do not require a material medium for propagation.
c. particles of the wave medium move parallel to the direction of propagation of the wave.
d. particles of the wave medium move long distances from the source of the wave to carry energy.

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