A helium nucleus of mass m = 6.64 x 10-27 kg and charge q = 6.41 x 10-19 C is in a constant electric field of magnitude E = 2.00 x 10-3 N/C pointing in the positive x-direction. Neglecting other forces, calculate (a) the nucleus’ acceleration and (b) its displacement after 3.00 s if it starts from rest.

An electron has an initial speed of 5.21 x 106 m/s in a uniform 4.69 x 105 N/C strength electric field. The field accelerates the electron in the direction opposite to its initial velocity. (a) What is the direction of the electric field? opposite direction to the electron's initial velocity same direction as the electron's initial velocity O not enough information to decide (b) How far does the electron travel before coming to rest? m (c) How long does it take the electron to come to rest? (d) What is the electron's speed when it returns to its starting point? m/s

a) A charge 4Q is located at x = −2l on the x-axis, and a charge Q is located at x = l on the x-axis. Q > 0. Near the origin, a positive test charge q with mass m undergoes small oscillations along the x-axis. What is the frequency ω of these oscillations? (Remember that if F = ma = −kx, then ω2 = k/m).

A spherical shell of an inner radius 20.0 cm and outer radius 25.0 cm has a charge with a uniform density of 24.62 nC/m3. A proton moves in a circular orbit outside the spherical shell at a distance of 49 cm from the centre of the shell. Calculate the speed (m/s) of the proton. Round off the answer to 2 decimal places.

A small object of mass 3.54 g and charge −19.3 ?C is suspended motionless above the ground when immersed in a uniform electric field perpendicular to the ground. What are the magnitude and direction of the electric field? magnitude   direction