Question

Please show all work & explain your steps! pLease include all units as well, thank you!

Answer 1

a) given surface charge density, $\sigma$ = -6*10^-6 C/m²

since the $\sigma$ is negative the direction of electric field will be directed towards the sheet, i.e, -ve x direction

E = $\sigma$/(2*$\epsilon$_o) = 6*10^-6/(2*8.85*10^-12) = 338983.0508 N/C

b) The direction of electric force will be directed away from the sheet,i.e, towards +ve x direction,

and, F= qE

acceleration, a=F/m =  qE/m = 4*10^-6*33893.0508/(0.25) = 5.424 m/s²

c) direction of displacement will be in +ve x direction

initial velocity,u =0 m/s; displacement,s =0.5 m; a = 5.424 m/s²

using, s=ut + 0.5*at²

0.5 = 0*t + 0.5*5.424*t²

t = 0.43 seconds