Consider two charged particles, q1 moving with velocity v1 along the positive x
ID: 2160200 • Letter: C
Question
Consider two charged particles, q1 moving with velocity v1 along the positive x direction q2 and moving with velocity v2 along the positive y direction. Determine the directions of magnetic forces acting on the charges due to one another, i.e., F12 and F21 and check if they satisfy New tons third law. We have seen that the validity of the third law implies conservation of total momentum for a multiparticle (two particles in this case) system. Is the total momentum conserved in this case? State your conclusions and explain. Consider a planet orbiting the fixed Sun. Take the plane of Planet's orbit to be the x-y plane, with the Sun at the origin, and label the planet's position in the 2D polar Coordinates (r, phi). Show that the planet's angular momentum has magnitude ell = mr2omega, where omega = phidot is the Planet's angular velocity about the Sun Show that the rate at which the planet sweeps out area as in Kepler's second law is dA / dt = 1 / 2 r2 omega and hence that dA / dt = ell / 2m. From your work above deduce Kepler's second law.Explanation / Answer
1) magnitude of F12= F21 = (9*10^9) (q1*q2) /[(v1t) ^2 + (v2t)^2] N where at time = t and in opposite in directions by this newton 2nd law applicable and conservation of momentum since if u consider these two charges as a system no other external force so momentum conserves