- #1
Lauren12
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Homework Statement
a)
Calculate the kinetic energy required to accelerate a single proton from a rest position to 0.9999c. The mass of a proton is 1.67*10^-27 Kg.
b)
Find the ratio of kinetic energy to the energy of a proton at rest
Homework Equations
Ekrest = mc2
Ek= (mc2)/√(1-(v2/c2))-mc2
The Attempt at a Solution
a)
Ekrest = mc2
Ekrest = (1.67*10^-27)(c)2
Ekrest = 1.5*10^-10
Ek= (1.5*10^-10)/√(1.9999*10^-4)-(1.5*10^-10)
EK=1.047*10^-8J
I am not confident in this answer as that does not seem nearly enough energy to accelerate the proton...
B)
1.047*10^-8/ 1.5*10^-10
=69.66%
I am very confused! Any help is much appreciated.