An object with mass m is spinning in uniform circular motion in a circle perpendicular to the ground with radius r at a circular velocity of 2 m/s. at the height of its spin, the forces acting on it, f, can be calculated by summing the force due to change in direction and the force due to gravity. the force due to gravity is the mass of the object multiplied by 9.8 m/s2s2. the force due to change in direction is the product of the square of the velocity of the object, the mass of the object, and the reciprocal of the radius. what is m in terms of r and f? a) f. r4+9.8rf. r4+9.8rb) f4r+9.8f4r+9.8c) f. r4r+9.8f. r4r+9.8d) 4r+9.8f4r+9.8fe) (f. r)−49.8r(f

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