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Chapter 10: Q.29 (page 257)

In FIGUREEX10.28, what is the maximum speed a 200gparticle could have at x=2.0m.

It never reach x=6.0m?

Short Answer

Expert verified

Particle's maximum speed is6.32m/s.

Step by step solution

01

Speed : 

It is the change in an object's location with regard to time.

02

Explanation : 

Particle's mass m=200gm=0.2kg,

Formula to determine the kinetic energy of a particle ,

KE=12mv2

KE= kinetic energy,

m= particle's mass

v= particle's velocity.

Consider the graph of potential energy against distance,

The peak of the curve between x=2mandx=6m.

It occurs at x=4m.

Particle's kinetic energy at x=4mmust be 0.

It is if the particle is not allowed to reach at x=6m.

The potential energy difference of localid="1647865759613" x=4mandx=2mwould be the particle's maximum speed so that it can never reach at x=6m.

Potential energy difference,

KE=8-4=4J

Particle's maximum velocity,

KE=12mv24=12脳0.2脳v2v=6.32m/s

Hence, maximum speed of particle is6.32m/s.

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