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.
To tackle this question, we know the following:
1 Albert equals 88 meters.
1 A = 88 m.
Initially, we square both sides of the equation:
(1 A)^2 = (88 m)^2
1 A^2 = 7,744 m^2
<span>Since 1 acre equals 4,050 m^2, let’s divide both sides by 7,744 to find out how many acres match this value:</span>
1 A^2 / 7,744 = 7,744 m^2 / 7,744
(1 / 7,744) A^2 = 1 m^2
Then multiply both sides by 4,050.
(4050 / 7744) A^2 = 4050 m^2
0.523 A^2 = 4050 m^2
<span>Thus, one acre is approximately 0.52 square alberts.</span>
a) 3.56 x 10^22 N. b) 3.56 x 10^22 N. The sun’s mass is M = 2 x 10^30 kg, while the Earth's mass is m = 6 x 10^24 kg, with a distance of R = 1.5 x 10^11 m separating them. Applying Newton's law for gravitational force F = G (mM / R²), where G = 6.67 × 10^-11 m^3 kg^-1 s^-2 gives us F = 3.56 x 10^22 N. A) The gravitational force by the sun on Earth equates to the force exerted by Earth on the sun, which is also 3.56 x 10^22 N.