Answer:
Total number of electrons

electrons removed from each sphere

Fraction of electrons transferred is given as

Explanation:
As we know that moles is defined as



so number of atoms of Al in each sphere is given as


Now number of electrons in each atom is given as
atomic number = number of electrons in each atom = 13
total number of electrons in each sphere is


Also we know that force of attraction between them is given as



now we have




Fraction of electrons transferred is given as


Answer:
a) factor 
b) factor 
c) factor 
d) factor 
Explanation:
Time period of oscillating spring-mass system is given as:


where:
frequency of oscillation
mass of the object attached to the spring
stiffness constant of the spring
a) <u>On doubling the mass:</u>
- New mass,

<u>Then the new time period:</u>




where the factor
as asked in the question.
b) On quadrupling the stiffness constant while other factors are constant:
New stiffness constant, 
<u>Then the new time period:</u>

where the factor
as asked in the question.
c) On quadrupling the stiffness constant as well as mass:
New stiffness constant, 
New mas, 
<u>Then the new time period:</u>

where factor
as asked in the question.
d) On quadrupling the amplitude there will be no effect on the time period because T is independent of amplitude as we can observe in the equation.
so, factor 
Answer:
The time to boil the water is 877 s
Explanation:
The first thing we must do is calculate the external resistance (R) of the circuit, from the description we notice that it is a series circuit, by which the resistors are added
V = i (r + R)
We replace we calculate
r + R = V / i
R = v / i - r
R = 10/12 -0.04
R = 0.793 Ω
We calculate the power supplied
P = V i = I² R
P = 12² 0.793
P = 114 W
This is the power dissipated in the external resistance
We use the relationship, that power is work per unit of time and that work is the variation of energy
P = E / t
t = E / P
t = 100 10³/114
t = 877 s
The time to boil the water is 877 s
<u>Answer</u>
672,000 Joules
<u>Explanation</u>
Gravitational potential energy (P.E) is the energy possessed by a body that is at a potential height from the ground.
IT is calculated by the formula;
P.E = mgh
Where m ⇒ mass
g ⇒ acceleration due to gravity
h ⇒ height from trhe ground.
P.E = 1200 × 1.6 × 350
= 672,000 Joules.
Answer:
V is approximately = 23m/s
Explanation:
Kinetic energy = ½ mv²
Where m= mass = 0.450kg
V= velocity =?
K. E = 119J
Therefore
K. E = ½ mv²
Input values given
119= ½ × 0.450 × v²
Multiply both sides by 2
119 ×2 = 2 × 1/2 × 0.450 × v²
238= 0.450v²
Divide both sides by 0.450
238/0.450 = 0.450v²/0.450
v² = 528.89
Square root both sides
Sq rt v² = sq rt 528.89
V = 22.998m/s
V is approximately = 23m/s
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