Answer:
1) We will have excess of electrons
2) The number of electrons transferred equals 
Explanation:
Part a)
Since we know that the charge transfer occurs by the transfer of electrons only as it is given that the carpet has acquired a positive charge it means that it has lost some of the electron's since electrons are negatively charged and if a neutral body looses negative charge it will become positively charged. The electron's that are lost by the carpet will be acquired by the feet of the human thus making us negatively charged.Hence we will gain electrons making us excess in electrons.
Part b)
From charge quantinization principle we have

where
Q = charge of body
n = no of electrons
e = fundamental charge
Applying values in the above equation we get

Answer:
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Explanation:
It is given that,
The angular acceleration of the basketball, 
Time taken, t = 3 seconds
We need to find the ball’s final angular velocity if the ball starts from rest. It can be calculated using definition of angular acceleration i.e.





So, the ball's final angular velocity is 30 rad/s. Hence, this is the required solution.
Answer:
The new kinetic energy is 9 times of the initial kinetic energy.
Explanation:
The kinetic energy of an object is given by the formula as follows :

Where
m is mass and v is speed of the body
If the speed of the body is tripled. Let v' is the new speed, v' = 3v. The new kinetic energy is E' and it is given by :

Hence, the new kinetic energy is 9 times of the initial kinetic energy.