(a) a force f = (3xî + 4yĵ), where f is in newtons and x and y are in meters, acts on an object as the object moves in the x-direction from the origin to x = 5.18 m. find the work w = f · dr done by the force on the object (in j). j (b) what if? find the work w = f · dr done by the force on the object (in j) if it moves from the origin to (5.18 m, 5.18 m) along a straight-line path making an angle of 45.0° with the positive x-axis. j is the work done by this force dependent on the path taken between the initial and final points? dependent independent

In the future, people will only enjoy one sport: electrodisc. in this sport, you gain points when you cause metallic discs hovering on a field to exchange charge. you are an electrodisc player playing the popular four disc variant. the disks have charges of qa = −8.0 µc, qb = −2.0 µc, qc = +5.0 µc, and qd = +12.0 µc. (1) you bring two disks together and then separate them. you measure the resulting charge of these two disks and find that it is +5.0 µc per disk. which two disks did you bring together? (a) a and b (b) a and c (c)a and d (d)b and c(e) b and d (f) c and d. (2) you bring three disks together and then separate them. you measure the resulting charge of these three disks and find that it is +3.0 µc per disk. which three disks did you bring together? a, b, and c (a) a, b, and d (c) a, c, and d (d) b, c, and d. (3) given the resulting charge of each disk measured in (b) is +3.0 µc, how many electrons would you need to add to a disk of this charge to electrically neutralize it? electrons