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?

What are segments of dna that code for a particular trait. a combination of dna and proteins make up what

As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arranged side by side so that they are parallel to each other. when you push the platform, you compress the springs. you do an amount of work of 79.0 j when you compress the springs a distance of 0.230 m from their uncompressed length. (a) what magnitude of force must you apply to hold the platform in this position? (b)how much additional work must you do to move the platform a distance 0.230 m farther? (c) what maximum force must you apply to move the platform a distance 0.230 m farther?

A0.750 kg aluminum pan is removed from the stove and plunged into a sink filled with 10.0 kg of water at 293 k. the water temperature quickly rises to 297 k. what was the initial temperature of the aluminum pan? the specific heat of aluminum is ca = 900 j/(kgk) and water is cw = 4190 j/(kgk)