Boyle’s law states that when a sample of gas is compressed at a constant temperature, the pressure p of the gas is inversely proportional to the volume v of the gas. (a) suppose that the pressure of a sample of air that occupies 0.106 m3 at 25°c is 50 kpa. write v as a function of p. (b) calculate dvydp when p − 50 kpa. what is the meaning of the derivative? what are its units?

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

Which best describes the difference between internal and thermal energy?

Juliette sets the initial velocity to +10 m/s, the acceleration to zero, and clicks “start.” how can shakina describe the subsequent motion of the car juliette controls?