# How fast must a proton move so that its kinetic energy is 80% of its total energy?

In order to find the answer to this question, we must first understand what kinetic energy is. Kinetic energy is the energy of motion, or the energy that an object has due to its motion. It is equal to half of the object’s mass times the square of its velocity.

Now that we know what kinetic energy is, we can use that information to solve for the velocity of a proton that has 80% of its total energy in kinetic energy. To do this, we will set the kinetic energy equal to 80% of the total energy and solve for velocity.

Total energy = kinetic energy + potential energy

0.8(total energy) = 0.5(mass)(velocity^2)

velocity = sqrt(0.8(total energy)/(0.5(mass)))

Now that we have the velocity, we can plug in the values for the total energy and the mass of a proton to find the answer.

Total energy = 1.8 x 10^-14 J

Mass = 1.67 x 10^-27 kg

velocity = sqrt(0.8(1.8 x 10^-14 J)/(0.5(1.67 x 10^-27 kg)))

velocity = 1.75 x 10^6 m/s

## Other related questions:

### Q: What is the speed of a proton with kinetic energy?

A: There is no definitive answer to this question as the speed of a proton with kinetic energy can vary depending on the exact circumstances. However, in general, the speed of a proton with kinetic energy is likely to be very fast.

### Q: How do you find the kinetic energy of a proton?

A: The kinetic energy of a proton is equal to its rest mass energy plus its kinetic energy.

### Q: What is the speed of a proton whose kinetic energy is 4.8 Kev?

A: The speed of a proton with a kinetic energy of 4.8 Kev is approximately 2.2 x 10^6 m/s.