Along pipe of outer radius =3.50 cm and inner radius =2.98 cm carries a uniform charge density of 9.22 mc/m3. assuming that the pipe is sufficiently long to consider it infinitely long, use gauss's law to calculate the electric field at a distance =7.35 cm from the centerline of the pipe. use =8.85×10−12 c/n·m2 for the the permittivity of free space.

2388078.86544 N/C

Explanation:

= Charge density = 9.22 mC/m³

r = Distance = 7.35 cm

= Outer radius = 3.5 cm

= Inner radius = 2.98 cm

l = Length of cylinder

= Permittivity of free space =

V = Volume

E = Electric field

Charge is given by

Area

From Gauss law the flux through a cylindrical surface is given by

The electric at the given distance is 2388078.86544 N/C

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft