   Chapter 11, Problem 50P ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

# At full energy, protons in the 2.00-km-diameter Fermilab synchrotron travel at nearly the speed of light, since their energy is about 1000 times their rest mass energy, (a) How long does it take for a proton to complete one trip around? (b) How many times per second will it pass through the the get area?

To determine

(a)

The time taken by proton to complete one trip.

Explanation

Given:

Distance, x=2km

Formula used:

The time taken is calculated by

t=πds

Calculation:

The time of travel can be expressed as

t=xswhere x is the distance and s is the speeed

The proton here travels in a circular path

In one complete trip, the proton travels a distance equal to the circumference of the circle

We know that distance x=πd

To determine

(b)

How many times per second it will pass through the target area

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