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When a proton slows from 0. 8c up to 0. 6c, it’s kinetic energy decreases by what factor?

Sagot :

When a proton slows from 0. 8c up to 0. 6c, it’s kinetic energy decreases by what factor of 1/4.

Kinetic energy of a proton having a charge Q and Voltage V is given by:

Kinetic energy = Q×V

Where, Q is the charge

            V is the Voltage

Kinetic energy is directly proportional to the charge on a proton.

Let the kinetic energy of proton having charge 0.8C be KE₁ and kinetic energy of proton having charge 0.6C be KE₂

Hence KE₁ = 0.8 × V

KE₂ = 0.6 × V

Now, KE₁ / KE₂ = 0.8 V / 0.6 V

⇒          KE₁ / KE₂ = 4 / 3

⇒         KE₂ / KE₁ = 3/4

⇒         KE₂ = 3/4 times KE₁

Hence, the final kinetic energy becomes 3/4 times the initial kinetic energy.

The kinetic energy decreases by a factor of:

Change = KE₁ - KE₂

Change = KE₁ - 3/4KE₁

Change = 1/4 KE₁

Hence, the kinetic energy decreases by a factor of 1/4

Learn more about Kinetic energy here, https://brainly.com/question/12669551

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