2 (a) Write down the equation of motion for the point particle of mass m moving in the Kepler potential U(x) = -A/x+ B/x² where x is the particle displacement in m. (b) Introduce a dissipative term in the equation of motion assuming that the dissipative force acting on a particle is proportional to the partical velocity with the coefficient of proportionality v. Write down the modified equation of motion. (c) Determine the dimensions of parameters A, B, vin SI system of units.
2 (a) Write down the equation of motion for the point particle of mass m moving in the Kepler potential U(x) = -A/x+ B/x² where x is the particle displacement in m. (b) Introduce a dissipative term in the equation of motion assuming that the dissipative force acting on a particle is proportional to the partical velocity with the coefficient of proportionality v. Write down the modified equation of motion. (c) Determine the dimensions of parameters A, B, vin SI system of units.
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(a)
Write down the equation of motion for the point particle of mass m moving in
the Kepler potential U(x) = -A/x+B/x² where x is the particle displacement in m.
(b)
Introduce a dissipative term in the equation of motion assuming that the
dissipative force acting on a particle is proportional to the partical velocity with the coefficient of
proportionality v. Write down the modified equation of motion.
(c)
Determine the dimensions of parameters A, B, vin SI system of units.
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