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Two protons are released from rest when they are 0.750 nm
Chapter 23, Problem 9E(choose chapter or problem)
Two protons are released from rest when they are 0.750 nm apart.
(a) What is the maximum speed they will reach? When does this speed occur?
(b) What is the maximum acceleration they will achieve? When does this acceleration occur?
Questions & Answers
QUESTION:
Two protons are released from rest when they are 0.750 nm apart.
(a) What is the maximum speed they will reach? When does this speed occur?
(b) What is the maximum acceleration they will achieve? When does this acceleration occur?
ANSWER:Step 1 of 5
The electrostatic potential energy is,
\(U = \frac{{k{q_1}{q_2}}}{r}\)
Here, \(k\) is the electrostatic constant, \({q_1}?\) and \({q_2}\)? are the magnitudes of the charges, and \(r\) is the distance between them.
The kinetic energy is given as,
\(K = \frac{1}{2}m{v^2}\)
Here, \(m\) is the mass, and \(v\) is the speed.
The conservation of energy principle states that the total energy of an isolated system is conserved that is,
\({U_i} + {K_i} = {U_f} + {K_f}\)
Here, the subscripts \(i\) stands for initial, and \(f\) stands for final.