I actually have two questions 1. A radiactive element\'s nucleus has a charge of

Question

I actually have two questions

1. A radiactive element's nucleus has a charge of 81 81 e. It can spontaneously decay into a nucleus with charge 4e 4e and a nucleus with a chrage 77e 77e . Just after the decay, the two nucleii are 2.5x10 15 m 2.5x1015m apart.
a) What is the electrostatic force between them?

b) What is the acceleration of the bigger particle, whose mass is 6.1x10 27 kg 6.1x1027kg ? __________x10 30 m/s 2

2. In a thundercloud there are two equal and opposite charges ±48C ±48C separated by 5.5km 5.5km . Assuming that they can be treated as point charges, what is the force between them?

Explanation / Answer

1) a) q1=4e, q2=77e, r=2.5*10^-15 m

F=kq1q2/r^2 =(9*10^9*4e*77e)/(2.5*10^-15)^2 =11354.11 N

b) Force on bigger particle =F= 11354.11 N, m=6.1*10^-27 Kg

   So, a=F/m =11354.11/6.1*10^-27 =1.86 *10^30 m/s^2

2) q1=48 C, q2= -48C, r=5500 m

F= kq1q2/r^2 =9*10^9*48*48/5500^2 = 685487.6 N (force will be attractive)

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