Question

Question 21 object Ao has a mass of 8.0 x 10-21 kg and carries a net charge of + 8.0 x 10-19 C Object Bo has a mass of 6.010 21 kg and carries a net charge of -1.6 x 10-1s C Which of the following scenarios could be possible? () Object Ao is split into two objects Ai and A2 where each has a mass of 4.0 x 10-21 kg and carries a net charge of 4.0 -8.0 x 10-19 C (in) Object Ao and Bo are combined Select the correct answer 10-10 C () Oblect Bo is split into two objects Bi and B where each has a mass of 3.0 x 10-21 kg and carries a net charge of to form an object of mass 1.4 x 10-20 kg and carries a net charge of -8.0 x 10-19 C CHECK ANSWER 2 of 3 attempts used LAST ATTEMPTI O only (i) and (iii) are possible O none of the scenarios are possible only 0 and (i) are possible O only () and (li) are possible

Answer 1

Here we apply mass conservation and charge conservation.

A_0 rightarrow M_A_0 = 8 times 10^-21 kg B-0 rightarrow M_B_0 = 6 times 10^-21 kg q_A_0 = 8 times 10^-19 C, q_B_0 = -16 times 10^-19 C A_0 = A_1 + A_2 A_1 = 4 times 10^-21 kg, A_2 = 4 times 10^-21 kg M_T = (4 + 4) (10^-21 kg) = 8 times 10^-2 kg so mass is conserved q_A_1 + q_A_2 = (4 + 4) (10^-19 C) = 8 times 10^-19 C so charge is also conserved Therefore is possible. B_1 = B_2 = 3 times 10^-21 kg B_1 + B_2 = 6 times 10^-21 kg = B_0 so mass is conserved q_B_1 + q_B_2 = (-8 - 8) (10^-19 C0 = -1.6 times 10^-18 C So charge is also conserved. A_0 + B_0 = 1.4 times 10^-20 kg A_0 = 8 times 10^-21 kg, B_0 = 6 times 10^-21 kg so mass is conserved. q_net = 8 times 10^-19 C