You decide to build an electrostatic dust filter. They work based on electrostatic interactions between charged particles of dust and electric field. Your filter (shown below, not to scale) has a vertical length L = 1 m and a horizontal 1-cm distance d between the plates. A dust particle of mass m=10−9 kg and charge q=10−16 C falls with a constant vertical velocity v=1m/s into the filter very close to the positively charged plate. What electric field E do you need to make the particle reach the oppositely charged plate before it falls out of the filter