2. what happens when multiple forces act on an object?
a. the object will always move.
b. the object will move if the forces are balanced.
c. the object will move if the forces are unbalanced.
d. the object will always stay in place.
3. an object moves in the direction of the force.
a. net
b. balanced
c. strongest
d. weakest

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