/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}

91影视

Aparticleundergoesuniformcircularmotionofradius26.1minauniformmagneticfield.Themagneticforceontheparticlehasamagnitudeof1.6010-17N.Whatisthekineticenergyoftheparticle?

Short Answer

Expert verified

Thekineticenergyoftheparticleis2.0910-22J.

Step by step solution

01

Listing the given quantities

Radiusr=26.1渭尘=26.110-6m.MagneticforceF=1.6010-17N

02

Understanding the concept of kinetic energy and centripetal force

Weusetheformulaofcentripetalforcetoderivetheformulaofkineticenergy,andthen,usingthegivenvalues,wecanfindthekineticenergyoftheparticle.Formula:Centripetalforce,F=mv2rKineticenergy,K=12mv2

03

Explanation

Sincecentripetalforceisequaltomagneticforce,theexpressioncanbewrittenas:F=mv2rFr=mv2But,wehave,KE=mv22Therefore,KE=mv22=Fr2=1.6010-1726.110-62=2.0910-22J.Therefore,thekineticenergyoftheparticleis2.0910-22.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Using conversions and data in the chapter, determine the number of hydrogen atoms required to obtain1.0kgof hydrogen. A hydrogen atom has a mass of 1.0u.

A football player punts the football so that it will have a 鈥渉ang time鈥 (time of flight) of 4.5 sand land 46 maway. If the ball leaves the player鈥檚 foot 150 cm above the ground, what must be the (a) magnitude and (b) angle (relative to the horizontal) of the ball鈥檚 initial velocity?

Question: Harvard Bridge, which connects MIT with its fraternities across the Charles River, has a length of 364.4 Smoots plus one ear. The unit of one Smoot is based on the length of Oliver Reed Smoot, Jr., class of 1962, who was carried or dragged length by length across the bridge so that other pledge members of the Lambda Chi Alpha fraternity could mark off (with paint) 1-Smoot lengths along the bridge. The marks have been repainted biannually by fraternity pledges since the initial measurement, usually during times of traffic congestion so that the police cannot easily interfere. (Presumably, the police were originally upset because the Smoot is not an SI base unit, but these days they seem to have accepted the unit.) Figure 1-4 shows three parallel paths, measured in Smoots (S), Willies (W), and Zeldas (Z). What is the length of 50.0 Smoots in (a) Willies and (b) Zeldas?

Figure 1-4Problem 8

Question: A lecture period (50 min) is close to 1 microcentury. (a) How long is a microcentury in minutes? (b) Using

,percentagedifference=(actual-approximationactual)100

find the percentage difference from the approximation.

Four identical particles of mass 0.50kg each are placed at the vertices of a2.0m2.0m square and held there by four massless rods, which form the sides of the square. What is the rotational inertia of this rigid body about an axis that (a) passes through the midpoints of opposite sides and lies in the plane of the square, (b) passes through the midpoint of one of the sides and is perpendicular to the plane of the square, and (c) lies in the plane of the square and passes through two diagonally opposite particles?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.