Answer:
D. all regions of the spectrum
Explanation:
I did some research ; )
Answer:
2.70
Explanation:
pH = -log[H+]
pH = -log[2.0x10^-3]
pH = 2.70
Answer:
Explanation:
Using the diagram (see attachment) we extract the following position vectors:
Next step is to find unit vectors as follows:
Using the diagram we find the corresponding vectors Forces:
Equation of Equilibrium:
Comparing i , j and k components as follows:
Solving Above equation simultaneously we get:
2. What is the angle a of the force F in the figure above?
(a) The magnitude of the force F acting on the knot is 5.54 N.
(b) The angle α of the force F is 54.4⁰.
The given parameters:
The net vertical force on the knot is calculated as follows;
The net horizontal force on the knot is calculated as follows;
From the trig identity;
The angle α of the force F is calculated as follows;
Find the image uploaded for the complete question.
Learn more about net force here:brainly.com/question/12582625
The knot is in equilbrium, so there is no net force acting on it. Starting with the unknown force and going clockwise, denote each force by F₁, F₂, F₃, and F₄, respectively. We have
F₁ + F₂ + F₃ + F₄ = 0
Decomposing each force into horizontal and vertical components, we have
F cos(180º - α) + (5.7 N) cos(50º) + (6.2 N) cos(-44º) + (6.7 N) cos(-137º) = 0
F sin(180º - α) + (5.7 N) sin(50º) + (6.2 N) sin(-44º) + (6.7 N) sin(-137º) = 0
Recall that cos(180º - x) = - cos(x) and sin(180º - x) = sin(x), so these equations reduce to
F cos(α) ≈ - 3.22 N
F sin(α) ≈ 4.51 N
(1) Recall that for all x, sin²(x) + cos²(x) = 1. Use this identity to solve for F :
(F cos(α))² + (F sin(α))² = F ² ≈ 30.73 N² → F ≈ 5.5 N
(2) Use the definition of tangent to solve for α :
tan(α) = sin(α) / cos(α) ≈ 1.399 → α ≈ 126º
or about 54º from the horizontal from above on the left of the knot.
Complete Question
A power supply has an open-circuit voltage of 40.0 V and an internal resistance of 2.00 . It is used to charge two storage batteries connected in series, each having an emf of 6.00 V and internal resistance of 0.300 . If the charging current is to be 4.00 A, (a) what additional resistance should be added in series? At what rate does the internal energy increase in (b) the supply, (c) in the batteries, and (d) in the added series resistance? (e) At what rate does the chemical energy increase in the batteries?
Answer:
a
The additional resistance is
b
The rate at which internal energy increase at the supply is
c
The rate at which internal energy increase in the battery is
d
The rate at which internal energy increase in the added series resistance is
e
the increase rate of the chemically energy in the battery is
Explanation:
From the question we are told that
The open circuit voltage is
The internal resistance is
The emf of each battery is
The internal resistance of the battery is
The charging current is
Let assume the the additional resistance to to added to the circuit is
So this implies that
The total resistance in the circuit is
Substituting values
And the difference in potential in the circuit is
=>
Now according to ohm's law
Substituting values
Making the subject of the formula
So
The increase rate of internal energy at the supply is mathematically represented as
Substituting values
The increase rate of internal energy at the batteries is mathematically represented as
Substituting values
The increase rate of internal energy at the added series resistance is mathematically represented as
Substituting values
Generally the increase rate of the chemically energy in the battery is mathematically represented as
Substituting values
Answer:
# = 2L /λ
Explanation:
For this exercise we can use a direct proportion rule. If there is 1 wave in 1 wavelength in 2L wave how many lengths are there
# = 2L /λ 1 wave
let's calculate
# = 2L /λ
we see that the longer the wavelength the fewer waves fit in the container
To find the critical angle, we need to consider the forces acting on the system. The weight and frictional force must be taken into account. By equating the forces and solving for the critical angle, we can determine at what angle the system just begins to move.
To determine the critical angle for the system shown, we need to consider the forces acting on the objects. The force pulling m1 downwards is its weight, which is equal to its mass multiplied by the acceleration due to gravity. The force preventing m1 from moving is the frictional force, which is equal to the coefficient of friction multiplied by the normal force. The normal force is the force exerted by the surface perpendicular to it, which is equal to the weight of m2 minus the weight of the hanging part of the rope.
At the critical angle, the force of friction is at its maximum value, which is equal to the coefficient of friction multiplied by the normal force. The force pulling m1 downwards is equal to the force of friction. By equating these forces and solving for the critical angle, we can find the answer.
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