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Helga [31]
3 years ago
6

A certain moving electron has a kinetic energy of 0.991 × 10−19 J. Calculate the speed necessary for the electron to have this e

nergy. The mass of an electron is 9.109 × 10−31 kg. Answer in units of m/s.
Physics
2 answers:
aleksandrvk [35]3 years ago
8 0

Answer:

4.66 × 10^5 m/s.

Explanation:

Given:

Mass of the electron, m = 9.109 × 10^−31 kg

KE = 0.991 × 10^−19 J.

Kinetic energy, KE = 1/2 × m × v^2

v = sqrt((2 × KE)/m)

= sqrt(2.176 × 10^11)

= 4.66 × 10^5 m/s.

alisha [4.7K]3 years ago
4 0

Answer: The speed necessary for the electron to have this energy is 466462 m/s

Explanation:

Kinetic energy is the energy posessed by an object by virtue of its motion.

K.E=\frac{1mv^2}{2}

K.E= kinetic energy = 0.991\times 10^{-19}J

m= mass of an electron = 9.109\times 10^{-31}kg

v= velocity of object = ?

Putting in the values in the equation:

0.991\times 10^{-19}J=\frac{1\times 9.109\times 10^{-31}kg\times v^2}{2}

v=466462m/s

The speed necessary for the electron to have this energy is 466462 m/s

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r=1.14m

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Here v is the proton's speed and r is the radius of the circular motion. Replacing this in (1) and solving for r:

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4.9MeV*\frac{1J}{6.242*10^{12}MeV}=7.85*10^{-13}J

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Please check the attached file for the diagram

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