The new charge of the ball will amount to 8x10^8C after removing 5x10^27 electrons.
Explanation:
Initially, if the sphere is electrically neutral, its charge stands at 0C.
When an electron with a charge of (-1.6*10^-19 C) is taken away, we effectively add a positive charge, leading to:
1.6*10^-19 C as the sphere's new charge.
For a total of N electrons removed, the sphere's overall charge now becomes:
N*1.6*10^-19 C.
To calculate N when:
N*1.6*10^-19 C = 8.0x 10^8 C.
We find that N is: (8.0/1.6)x10^(8 + 19) = 5x10^27 electrons.
Answer
Given data:
height of the dam = 15 m
effective area for water flow = 2.3 x 10⁻³ m²
Applying the principle of energy conservation:
v = 17.15 m/s
water discharge
Q = A V
Q = 2.3 x 10⁻³ x 17.15
Q = 0.039 m³/s
The following values have been provided:
weight w = 240 lb = 1,067.52 N
energy E = 3,000 J
The equation for potential energy is:
E = w h
where h indicates the height that the person needs to ascend, therefore:
h = 3000 / 1067.52
h = 2.81 m
<span />
<span>
</span>
<span>Thus, he must ascend 2.81 meters</span>
