Have you worked through the online tutorial on electric potential energy and pot

Question

Have you worked through the online tutorial on electric potential energy and potential difference? Yes____ No _____ Possibly useful information: F = k|q_1|q_2|/r^2: W = -Delta U = k q_1q_2/r: K = 1/2 mv^2: Phi = Q_enc/epsilon_0 = contourintegral E^vector middot dA^vector: V_sphere = 4/3 pi r^3 F = ma: F = qE: E = V/d: A^vector middot B^vector = |A||B| cos alpha Suppose that two protons (of mass m_p each) are released from rest when they are a distance d apart. Calculate their speed v, symbolically in terms of given quantities, when they are 4d apart.

Explanation / Answer

Let us use the conservation of energy in this case.

Hence , Initial energy= Final energy

intially the protons were at rest ( only potential energy) , and when they are at 4d distance they have potential and kinetic energy.

now potential energy is given by (K*q*q)/r

where K is coulomb constant, q is the charge of proton , r is the distance

kinetic energy will be 0.5mv2

Where m is the mass of proton , v is the velcotiy of proton

hence the equatio becomes,

k*q2/d= (k*q2)/4d + 2*( 0.5mv2)

=> (3kq2)/(4d)=mv2

=> v = sqrt [(3kq2)/(4md)]

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.