1. a proton is first accelerated from rest through a potential difference v and then enters a uniform 0.750-t magnetic field oriented perpendicular to its path. in this field, the proton follows a circular arc having a radius of curvature of 1.84 cm. what was the potential difference δv? sketch the situation and start newton’s second law and conservation of energy to derive the equations you use to solve the problem. (mproton = 1.67 × 10-27 kg)

At an oceanside nuclear power plant, seawater is used as part of the cooling system. this raises the temperature of the water that is discharged back into the ocean. the amount that the water temperature is raised has a uniform distribution over the interval from 10° to 25° c. what is the standard deviation of the temperature increase?

Aproduction line at v. j. sugumaran's machine shop has three stations. the first station can process a unit in 7 minutes. the second station has two identical machines, each of which can process a unit in 16 minutes (each unit only needs to be processed on one of the two machines). the third station can process a unit in 10 minutes. ▼ is the bottleneck station, with a bottleneck time of nothing minutes per unit (enter your response as a whole number).

The center of the milky way most likely contains a. empty space. b. a red giant star. c. a globular cluster. d. a supermassive black hole.