A proton circulates in a cyclotron, beginning approximately at restat the center. Whenever it passes through the gap between dees, theelectric potential difference between the dees is 270 V.

(a) By how much does its kinetic energyincrease with each passage through the gap?

(b) What is its kinetic energy as it completes 20 passes through the gap?

(c) Let r20 be theradius of its circular path in the dee that it enters as itcompletes those 20 passes, and letr21 be its nextradius, as it enters a dee the next time. By what percentage doesthe radius increase when it changes fromr20 tor21?

Both speed and velocity measure how fast something is moving. however, since speed is not a it does not require a(n question 6 options: a) quantity , unit b) magnitude, unit c) scalar, direction d) vector, direction

Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average ocean temperatures rise. to get some idea of the size of this effect, calculate the change in length (in m) of a column of water 1.45 km high for a temperature increase of 1.12°c. assume the column is not free to expand sideways. as a model of the ocean, that is a reasonable approximation, as only parts of the ocean very close to

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?