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If it is assumed that an alpha particle moves at a velocity of 1.5 x 10 m/s, calculate the kinetic energy of the alpha particle.
A. 1.50 10-12 J
B. 7.47 x 10-13 J
C. 1.00 x 10-19 J
D. 5.01 x 10-20 j

Respuesta :

Lanuel

The kinetic energy of the alpha particle is equal to: B.[tex]7.47 \times 10^{-13}\;J[/tex]

Given the following data:

  • Velocity of alpha particle = [tex]1.5 \times 10^{7}\; m/s[/tex]

Scientific data:

  • Mass of alpha particle = [tex]6.642 \times 10^{-27}\;kg[/tex]

To calculate the kinetic energy of the alpha particle:

Mathematically, kinetic energy is calculated by using this formula;

[tex]K.E = \frac{1}{2} MV^2[/tex]

Where:

  • K.E is the kinetic energy.
  • M is the mass of an object.
  • V is the velocity of an object.

Substituting the given parameters into the formula, we have;

[tex]K.E = \frac{1}{2} \times 6.642 \times 10^{-27}\times (1.5 \times 10^{7})^2\\\\K.E = \frac{1}{2} \times 6.642 \times 10^{-27}\times 225 \times 10^{14}\\\\K.E =6.642 \times 10^{-27}\times 1.125 \times 10^{14}\\\\K.E =7.47 \times 10^{-13}\;J[/tex]

Read more on kinetic energy here: https://brainly.com/question/17081653

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