A positive charge, +q, of mass m is moving at speed vo toward a second positive...
A positive point charge (+Q) is located at the origin of a coordinate system. Centred on that origin and lying in the y-plane is a thin ring of charge of radius R and total charge (equally distributed) of -. What will be the net electric field at a point a distance d directly above the origin of the coordinate system? Enter your expression in terms of εο. Q. d and R. Use an asterisk *, to indicate multiplication. For example,...
A particle with charge q and mass m moves in static external fields E0(7) and Bo(r). If Φ。(%) is the electrostatic potential at the position of the particle, and there is negligible radiation, the usual statement of conservation of energy for this system is Show that this equation agrees with the power balance represented by Poynting's theorem only if one adds to the latter the power supplied by an external energy source to maintain Eo() and Bo(F) against the work...
A student throws a water balloon with speed vo from a height h = 1.52 m at an angle θ=39° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 7.5 m from the student's feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. Part (a) what is the position vector, Rtarget that originates from the balloon's original position and...
A satellite of mass m is traveling at speed vo in a circular orbit of radius ro under the gravitational force of a fixed mass M at point O. At a certain point Q in the orbit (see the figure below) the direction of motion of the satellite is suddenly changed by an angle α without any change in the magnitude of the velocity. As a result the satellite goes into an elliptic orbit. Its distance of the closest approach...
3. A particle of mass m, charge q, and inital velocity vo is injected into uniform electric field E, find the position trajectory for the motion of the particle. Only after arriving at the vector equations for the trajectory, find the position of the particle after 5s, when E - 2i - 3j +4k vo- (2i -3j + 4k)1000 1.0 × 10-3 6.02 x 1023 q-1.6 x 10-19 (mass of a single H+)
feet per second and in miles per second 18 An object of mass m is moving horizontally through a medium which resists the motion with a force that is a func- tion of the velocity; that is, d's dv f(v) dt =m dt2 where v = s(1) represent the velocity and at time , respectively. For example, v(t) and s position of the object think of a boat moving through the water. (a) Suppose that the resisting force is proportional...
11. Consider the two infinite, parallel plates below which have uniform surface charge densitics, ni and 12 11--9.0 nC/m' and n = + 4.0 nC/m? a) (10 pts) What is the electric field at the midpoint between the two plates, at the position marked by the asterisk in (N/C)? 1811821 Not a point charge r *1811182) 12+(9.08709Nm?) (-2.000 /mn? |(4.0nc !m) T+213.24x10" r. 5.69x105NIC -9.00m² +4. On / m² b) (5 pts) What is the direction of the electric field...
Three identical point point charges, each of mass m and charge q, hang from three strings as pictured below, the length of left and right string are L and the angle is θ. Determine the value on terms of m, L,θ So the answer has to be q=(4mg L^2sen^2 θ tanθ/5K)^(1/2) but I don’t know how to get there igual lorigituu R; q = (4 mg Lisen? θ tan θ /5k)12 Fe, g, m d, m g, m
A region in space contains a total positive charge Q that is distributed spherically such that the volume charge density ρ(r) is given by for「SRI2 Here α is a positive constant having units of C/m3 (a) Determine a in terms of Q and R (b) Using Gauss's law, derive an expression for the magnitude of E as a function of r. Do this separately for all three regions. Express your answers in terms of the total charge Q. Be sure...
Only Need F and G m l Two small insulating balls with charge +q and mass m are placed in a circular bowl with radius R as shown above and are free to move without friction. You may assume that the radius of the balls is negligible compared to the radius of the bowl a) If we begin with the balls at the top of the bowl (i.e. -90°), what is the total gravitational potential energy of both balls? You...