# Physics

posted by .

The kinetic energy of a proton is half its internal energy. What is the proton's speed?

Kinetic energy is (Yu - 1) (mp) (c)^2

= 1/2 (mp) (c)^2

Yu = 1.5

Yu = 1/(square root) 1 - (u/c)^2

1/(square root) 1 - (u/c)^2 = 1.5

u= 0.745c

How do I solve for u? I'm extremely confused on how to do this. I know you square 1/(square root) 1 - (u/c)^2 to both sides esp. 1.5 to get rid of the square root. But up to there I'm confused to how to solve for u

• Physics -

1/√(1-(u/c)^2) = 3/2
√(1-(u/c)^2) = 2/3
(1-(u/c)^2) = 4/9
(u/c)^2 = 5/9
u/c = √5/3 = .745
u = .745c

• Physics -

thank you

## Similar Questions

1. ### Physics

A proton moving with a constant speed has a total energy 2.5 times its rest energy. What is the proton's: a. speed b. kinetic energy
2. ### College Physics

In a proton linear accelerator, a 8.6 proton current hits a target. 5.4×10^16 protons/second hit the target. How much energy is delivered to the target each second if each proton has a kinetic energy of 26 MeV and loses all its energy …
3. ### physics

A proton (mass ) is being accelerated along a straight line at in a machine. If the proton has an initial speed of and travels 3.5 cm, what then is (a) its speed and (b) the increase in its kinetic energy?
4. ### Physics kinetic energy

Okay the equation for kinetic energy is = 1/2mv^2 so how would i figure this out?
5. ### physics

Problem 21.10 A proton with an initial speed of 800000 m/s is brought to rest by an electric field. Part B - What was the potential difference that stopped the proton?
6. ### physics

A proton moves from a location where V = 70 V to a spot where V = -31 V. (a) What is the change in the proton's kinetic energy?
7. ### Physics

A proton with mass 1.67×10−27 kg and charge 1.60×10−19 C accelerates from rest in a uniform electric field of strength 500 N/C. (a) What is the magnitude of the acceleration of the proton?
8. ### Physics

A relativistic proton has a momentum of 1.0×10^-17 kg ∙ m/s and a rest energy of 0.15 nJ. What is the kinetic energy of this proton?
9. ### Physics

A relativistic proton has a momentum of 1.0×10^-17 kg ∙ m/s and a rest energy of 0.15 nJ. What is the kinetic energy of this proton?
10. ### physics

the mass of a proton is 1836 times the mass of an electron a)a proton is traveling at speed v. at what speed (in terms of v) would an electron have the same kinetic energy as the proton?

More Similar Questions