Adipole of moment 0.5 e nm is placed in a uniform electric field with a magnitude of 8 times 104 n/c. what is the magnitude of the torque on the dipole when?
a) the dipole is parallel to the electric field.
b) the dipole is perpendicular to the electric field.
c) the dipole makes an angle of 30 degrees with the electric field.
d) find the potential energy of the dipole in the electric field for each case. theta = 0 degrees (parallel).

Answer with Explanation:

We are given that

Dipole moment=C-m

Because

Magnitude of electric field,E= N/C

a.We have to find the magnitude of torque on the dipole when

dipole is parallel to the electric field

i.e

We know that

Substitute the values then we get

Because sin 0=0

b.

By using

Nm

c.

Nm

By using

d.Potential energy, U=

Because cos 0degree=1

A bouncing ball loses some of its energy at every bounce. The ball and the Earth collide, and during this collision momentum and kinetic energy are transferred. If the kinetic energy of the ball before the collision does not equal the kinetic energy of the ball after the collision, the ball cannot bounce back to the height of previous fall because it does not have enough kinetic energy to convert to potential energy.

Moreover, simple harmonic motion requires a force whose magnitude is proportional to the displacement and whose direction points towards the equilibrium point of the motion, called a restoring force, and this is not the case for a bouncing ball. The ball is under the influence of gravity during the entire process and the repulsive forces during the collision. Neither are restoring forces, so a bouncing ball's motion is not considered simple harmonic.