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Chapter 25: Q. 12 (page 709)

What is the speed of an electron that has been accelerated from rest through a potential difference of 1000V?

Short Answer

Expert verified

The electron speed is1.87脳107m/s.

Step by step solution

01

Given information and concept

Potential difference, V=1000V

Mass of electron, me=9.1脳10-31kg

Charge of electron, q=-1.6脳10-19C

Formula used:

The following is the relationship between potential energy and potential difference:

U=q螖V

Where,

Uis the potential energy

q is the charge of electron

螖V is the potential difference

02

Find the speed of electron

Calculate the electron's potential energy.

U=q螖V

Insert the value in the above equation

U=-1.6脳10-19脳(1000)=-1.6脳10-16J

All potential energy is turned into kinetic energy according to energy conservation.

KEinitial-KEfinal=U12mevinitial2-12mevfinal2=U

Insert the required value in the above equation

12脳9.1脳10-31脳0-12脳9.1脳10-31脳v2=-1.6脳10-160-12脳9.1脳10-31脳v2=-1.6脳10-16v=1.6脳10-1612脳9.1脳10-31=1.87脳107m/s

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Most popular questions from this chapter

ReproduceFIGUREQ25.12on your paper. Then draw a dot (or dots) on the figure to show the position (or positions) at which the electric potential is zero.

Living cells 鈥減ump鈥� singly ionized sodium ions, Na+, from the inside of the cell to the outside to maintain a membrane potential 鈭哣membrane = Vin - Vout = - 70 mV. It is called pumping because work must be done to move a positive ion from the negative inside of the cell to the positive outside, and it must go on continuously because sodium ions 鈥渓eak鈥� back through the cell wall by diffusion. a. How much work must be done to move one sodium ion from the inside of the cell to the outside? b. At rest, the human body uses energy at the rate of approximately 100 W to maintain basic metabolic functions. It has been estimated that 20% of this energy is used to operate the sodium pumps of the body. Estimate鈥攖o one significant figure鈥攖he number of sodium ions pumped per second.

What is the electric potential at points A, B, and C in FIGURE EX 25.27?

b. What are the potential differences

螖VAB = VB - VA and

螖VCB = VB - VC?

A proton with an initial speed of 800,000m/sis brought to rest by an electric field.

a. Did the proton move into a region of higher potential or lower potential?

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