Solution)
We know,
F = mv^2/r
F = (1.67 x 10^-27 kg)*(3.55x10^5)^2/.0074= 2.844x10^-14J
Now, we also know
F = kq1q2/r2 , so equating the two forces
2.844 x 10^-14J = (9x10^9)(1.602x10^-19)(q2)/.0074^2
q2 = 1.08 x 10^-9 C (Ans)
=========
Good luck!:)
A proton orbits just at the surface of a charged sphere of radius 0.74 cm. If...
A proton at speed v = 4.21 × 104 m/s orbits of radius r = 0.758 cm outside a charged sphere. Find the sphere’s charge.
A conducting sphere of 2.0 cm radius is charged with some unknown charge such that the electric potential 4.0 cm away from its surface is 100 Volts. What is the electric potential at the center of the conductor? If a proton is released at rest just outside the surface, what speed will it have when it's: A) 2.0 cm away from the surface of the conductor? B) Very far from the conductor? Please show ALL work!
Problem 3 A metal sphere of radius 2 cm is charged with a charge Q such that the potential of the sphere is 900 Volt. (a) Calculate the charge on the sphere. (b) A proton is fired toward the center of the sphere from a very large (i.e. for all practical purposes infinite) distance. What minimum initial velocity must the proton have to be able to reach the surface of the sphere?
Problem 3 A metal sphere of radius 2 cm is charged with a charge Q such that the potential of the sphere is 900 Volt (a) Calculate the charge on the sphere. (b) A proton is fired toward the center of the sphere from a very large (i.e. for all practical purposes infinite) distance. What minimum initial velocity must the proton have to be able to reach the surface of the sphere?
4.90 x 104 N/C. An isolated charged conducting sphere has a radius R = 10.0 cm. At a distance of r 22.0 cm from the center f the sphere the electric field due to the sphere has a magnitude of E (a) What is its surface charge density (in uC/m)? HC/m (b) its capacitance (in pF)? What nF (c) What If? A larger sphere radius 30.0 cm now added as to be concentric with the first sphere, What the capacitance...
An isolated charged conducting sphere has a radius R = 15.0 cm. At a distance of r = 22.0 cm from the center of the sphere the electric field due to the sphere has a magnitude of E = 4.90 ✕ 104 N/C. (a) What is its surface charge density (in µC/m2)? µC/m2 (b) What is its capacitance (in pF)? pF (c) What If? A larger sphere of radius 29.0 cm is now added so as to be concentric with...
The electric field everywhere on the surface of a charged sphere of radius 0.208 m has a magnitude of 550 N/C and points radially outward from the center of the sphere. (a) What is the net charge on the sphere? (b) What can you conclude about the nature and distribution of charge inside the sphere?
6, (HRw-7, #23.49) A solid sphere of radius a = 2.00 cm has an uniform charge q1 5.00 fc, That sphere is concentric with a spherical conducting shell of inner radius b = 2.00 a and outer radius c = 2.4 a. A shell has a charge of 2-5.00 fC. Find the electric field and potentials in the regions: (a) 0<r<a, (b)a<r<b (d) r> c Graph E (r) and V (r) 7, ( HRV-7 # 24.46) A charged particle (...
A small charged conducting sphere with q = -25.0 x 10-12C and radius 5 mm is placed at the centre of a spherical conducting shell of inner radius 5.00 cm and outer radius 6.00 cm. The spherical shell has zero net charge. (a) What is the electric field between the inner and outer surfaces of the spherical shell? (b) What is the surface charge density on the inner surface of the shell? (c) What is the surface charge density on the outer surface...
An isolated charged conducting sphere of radius 16.0 cm creates an electric field of 4.90 × 104 N/C at a distance 20.0 cm from its center. (a) What is its surface charge density? uC/m2 (b) What is its capacitance? pF