alculate the initial (from rest) acceleration of a proton in a eration of a prot

Question

alculate the initial (from rest) acceleration of a proton in a eration of a proton in a 5.00 (MN/C) electric field. A) less than 1000 (m/s B) from 1001 to 100,000 (m/s C) from 100,001 to 10,000,000 (m/s) D) from 10,000,001 to 1,000,000,000 (m/s?) E) more than 1,000,000,000 (m/s') #8. Calculate the fin difference of 0.100 (kV). A) less than 100 (m/s) B) from 101 to 10,000 (m/s) C) from 10,001 to 1,000,000 (m/s) D) from 1,000,001 to 10,000,000 (m/s) E) more than 10,000,000 (m/s) al speed of a free electron accelerated from rest through a potential ri PR is defined in a similar manner to the gravitational PE. These two

Explanation / Answer

7)(E)more than 1,000,000,000,000 (m/s^2)

explanation:

F = ma and F = qE

ma = qE => a = qE/m

a = 1.6 x 10^-19 x 5 x 10^6/(1.67 x 10^-27) = 4.8 x 10^14 m/s^2

Hence, (E)more than 1,000,000,000,000 (m/s^2)

8)(D)from 1,000,001 to 10,000,000 (m/s)

explanation:

from conservation of energy

1/2 m v^2 = q V

v = sqrt (2 q V/m)

v = sqrt (2 x 1.6 x 10^-19 x 100/(9.1 x 10^-31)) = 5.93 x 10^6 m/s

Hence,(D)from 1,000,001 to 10,000,000 (m/s)

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