A proton at speed v =3.00 × 10° m/s orbits at radius r = 1.00 cm outside a charged sphere. Find the sphere's charge.

A solid core carrying excess charge, Q = 47.6 μC, is located at the center of concentric spherical shells. The two spheres are joined by a hollow plastic tube that starts at the radius of the small sphere, r = 13.5 cm, and ends at the radius of the large one, R = 29.7 cm. When a charge, q = 7.8 μC, is placed at the inner end of the tube and released from rest, it accelerates straight through the tube and out the other end as shown. AUE= (a) How much did the electric potential energy change as the particle moved from one end of the tube to the other? Write your answer symbolically, in terms of Q, q, r, R and constants (as needed), then calculate its numeric value. kao ( + - 1/2 ) R = 13.5 J R x J (b) How much electric potential energy will be left when the little charge is 56.7 cm from the core? UE = 5.89 O

Three point particles, each with a mass m and a charge of +5.0 nC, are placed at the vertices of an equilateral trian- gle with side length l fixed in place, but the third experiences an acceleration of 8.0 cm. Two of the particles are 17.4 m/s? immediately after being released from rest. What is the mass m of each particle? (Suppose that the particles are located in outer space so that you can ignore the effects of gravity.)

the answer provided is wrong