A 4.63 kg block moves in a straight line in the positive direction of an x-axis while an applied force F→a acts on it. The force is directed along the negative direction of the x-axis and has magnitude Fa=9.6x + 2.3x2, with x in meters and in Fa newtons. If the initial kinetic energy of the block is 200 J, find the kinetic energy of the block after it starts at the position x=0 and moves to x=3.3 m.

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