Answer:
2 J
Explanation:
A charged capacitor of capacitance
with energy of 7.54 J, is connected in parallel with another capacitor
, so the charge is equally distributed between them.
(a) The energy stored in the capacitor before it being connected to the other capacitor is:

The energy stored in the electric field is the sum of the energies of the two capacitors:

since the charge equally distributed,
=
=
. and since they are connected in parallel the potential difference on both of them is the same
:

hence,

Answer:
A+B; 5√5 units, 341.57°
A-B; 5√5 units, 198.43°
B-A; 5√5 units, 18.43°
Explanation:
Given A = 5 units
By vector notation and the axis of A, it is represented as -5j
B = 3 × 5 = 15 units
Using the vector notations and the axis, B is +15i. The following vectors ate taking as the coordinates of A and B
(a) A + B = -5j + 15i
A+B = 15i -5j
|A+B| = √(15)²+(5)²
= 5√5 units
∆ = arctan(5/15) = 18.43°
The angle ∆ is generally used in the diagrams
∆= 18.43°
The direction of A+B is 341.57° based in the condition given (see attachment for diagrams
(b) A - B = -5j -15i
A-B = -15i -5j
|A-B|= √(15)²+(-5)²
|A-B| = √125
|A-B| = 5√5 units
The direction is 180+18.43°= 198.43°
See attachment for diagrams
(c) B-A = 15i -( -5j) = 15i + 5j
|B-A| = 5√5 units
The direction is 18.43°
See attachment for diagram
32 degrees Fahrenheit
And
0 degrees Celsius
Answer:
262.5 Nm
Explanation:
Torque is the rate of change of angular momentum.
Hence, we have

Δ<em>L</em> is the change in angular momentum.
Using values in the question,
