Answer:
Resistance of resistor A = 6.0 Ω and resistance of resistor B = 3.0 Ω
Explanation:
When the two resistors are in series, let V₁ = voltage in resistor A and R₁ = resistance of resistor A and V₂ = voltage in resistor B and R₂ = resistance of resistor B.
Given that V₁ + V₂ = 6.0 V and V₁ = 4.0 V,
V₂ = 6.0 V - V₁ = 6.0 V - 4.0 V = 2.0 V
Also, let the current in series be I.
So, V₁ = IR₁ and V₂ = IR₂
I = V₁/R₁ and I = V₂/R₂
equating both expressions, we have
V₁/R₁ = V₂/R₂
4.0 V/R₁ = 2.0 V/R₂
dividing through by 2.0 V, we have
2/R₁ = 1/R₂
taking the reciprocal, we have
R₂ = R₁/2
R₁ = 2R₂
From the parallel connection, let V₁ = voltage in resistor A and R₁ = resistance of resistor A and V₂ = voltage in resistor B and R₂ = resistance of resistor B. Since it is parallel, V₁ = V₂ = V = 6.0 V
Also, V₂ = I₂R₂ where I₂ = current in resistor B = 2.0 A and R₂ = resistance of resistor B
So, R₂ = V₂/I₂
= 6.0 V/2.0 A
= 3.0 Ω
R₁ = 2R₂
= 2(3.0 Ω)
= 6.0 Ω
So, resistance of resistor A = 6.0 Ω and resistance of resistor B = 3.0 Ω
The resistance of A is 6Ω while for B is 3Ω.
Definition of potential differencePotential difference is the amount of work done in moving a unit charge from one point to another.
When the two resistors are connected in parallel across the 6.0 V battery, the current in B is found to be 2.0 A, hence:
2 * Rb = 6 V
Rb = 3Ω
For the series connection:
I * 3 = (6 - 4)
I = 2/3 A
Hence:
(2/3) * Ra = 4
Ra = 6Ω
The resistance of A is 6Ω while for B is 3Ω.
Find out more on potential difference at: https://brainly.com/question/14306881
The adult house fly lives for only about 1 month, or 8 x 10^-2 y. The oldest recorded age of a tortoise was 1.8800 x 10^2 y. What is the difference between these two ages?
187.92 years
8*10^-2= .08
1.88*10^2= 188
188-.08=187.92
6. The transfer of thermal energy by radiation does not require matter.
O True
O False
Answer:false
Explanation:
the breakdown of rocks by chemical action of air and water is called
Answer:
Chemical weathering
Explanation:
This changes the molecular structure of rocks and soil. For instance, carbon dioxide from the air or soil sometimes combines with water in a process called carbonation. This produces a weak acid, called carbonic acid, that can dissolve rock.
A bullet at 800 m/s horizontally hits a target that is 180m away. How far does the bullet fall before it hits the target?
A 0.225 kg sample of tin initially at 97.5°c is dropped into 0.115 kg of water. the initial temperature of the water is 10.0°c. if the specific heat capacity of tin is 230 j/kg • °c, what is the final equilibrium temperature of the tin-water mixture
Answer:
The final equilibrium temperature of the tin-water mixture is approximately 18.468 °C
Explanation:
The parameters of heat energy transfer from the tin to the water are given as follows;
The mass of the sample of tin, m₁ = 0.225 kg
The initial temperature of the tin, T₁ = 97.5 °C
The mass of the water into which the tin is dropped, m₂ = 0.115 kg
The initial temperature of the water, T₂ = 10.0 °C
The specific heat capacity of tin, c₁ = 230 J/(kg·°C)
The specific heat capacity of water, c₂ = 4,200 J/(kg·°C)
Let 'T' represent the final equilibrium temperature of the tin-water mixture, we have;
The heat lost by the tin, ΔQ[tex]_{tin}[/tex] = The heat gained by the water ΔQ[tex]_{water}[/tex]
∴ ΔQ[tex]_{tin}[/tex] = ΔQ[tex]_{water}[/tex]
Where;
ΔQ[tex]_{tin}[/tex] = m₁·c₁·(T₁ - T)
ΔQ[tex]_{water}[/tex] = m₂·c₂·(T - T₂)
By substitution, we have;
ΔQ[tex]_{tin}[/tex] = 0.225 kg × 230 J/(kg·°C) × (97.5°C - T)
ΔQ[tex]_{water}[/tex] = 0.115 kg × 4,200 J/(kg·°C) × (T - 10.0°C)
From ΔQ[tex]_{tin}[/tex] = ΔQ[tex]_{water}[/tex], we have;
0.225 kg × 230 J/(kg·°C) × (97.5°C - T) = 0.115 kg × 4,200 J/(kg·°C) × (T - 10.0°C)
∴ 5,045.625 J - 51.75 J/°C × T = 483 J/°C × T - 4,830 J
5,045.625 J + 4,830 J = 534.75 J/°C × T
∴ 534.75 J/°C × T = 9,875.625 J
T = 9,875.625 J/(534.75 J/°C) = 18.4677419 °C ≈ 18.468 °C
The final equilibrium temperature of the tin-water mixture, T ≈ 18.468 °C.
Aunt Mary needs to hang a picture in her bedroom. She uses a hammer to drive the nail into the wall. Find the force exerted by the hammer on the nail if the hammer stays in contact with the nail for 0.5s and has an impulse of 25Ns
Answer:
50N
Explanation:
Impulse = Force × Time
25 = Force × 0.5
Force = 25/0.5
= 50N
How efficient is a pulley system if it enables you to lift a 700.0 Newton engine (Fr) 0.550 meters (dr) if you exerted 35.7 Newtons (Fe) of force while pulling 11.43 meters (de) of rope?
Answer:
96.3%
Explanation:
Efficiency = Work input/Work output * 100%
Work done = Force * distance\
Work done by the engine is the work output = 700 * 0.55
Work output = 423.5Nm
Work done by you is the work input = 35.7*11.43
Work input = 408.051Nm
Efficiency = 408.051/423.5 * 100
Efficiency = 0.963 * 100
Efficiency = 96.3%
Hence the efficiency of the pulley system is 96.3%
what hapenes to the wavelength of a wave if the frequency of the wave is increased?
Answer: The number of complete wavelengths in a given unit of time is called frequency (f). As a wavelength increases in size, its frequency and energy (E) decrease. From these equations you may realize that as the frequency increases, the wavelength gets shorter. As the frequency decreases, the wavelength gets longer.
Explanation:
a variable that is changed by the researcher is called ___
A rock has 750 J of potential energy as it sits on a ledge. If the rock were pushed off the ledge, how much would it have just before it hit the ground?
Answer:
the 750 j will have potential energy is 375
Explanation:
750/2 is 375
HELP MEEEEEEEEEEEEEEEEE
Answer:
I'm pretty sure it's half
Answer:
half
Explanation:
.................................
What is the impulse of a constant force of 50 newtons applied for 0.6 seconds
Answer:
30 kg·[tex]\frac{m}{s}[/tex]
Explanation:
Impulse is equal to the average force multiplied by the elapsed time, or
J=[tex]F_{av}[/tex]Δt
Your average force [tex]F_{av}[/tex] is 50 newtons because it was a constant force. Your elapsed time Δt was 0.6 seconds.
Multiply these values and you get an impulse of 30 kg·[tex]\frac{m}{s}[/tex]
A skydiver falls out of a plane from rest, and experiences no air resistance. Eventually, this skydiver reaches a velocity of 33 m/s. How much time did this take? *
Answer:
the time taken for the motion is 3.37 s
Explanation:
Given;
initial velocity of the skydiver, u = 0
final velocity of the skydiver, v = 33 m/s
The time taken for the motion is calculated as;
v = u + gt
33 = 0 + 9.8t
33 = 9.8t
t = 33 / 9.8
t = 3.37 s
Therefore, the time taken for the motion is 3.37 s
Describe the Geocentric Model of the our solar system.
Answer:
its basically our universe
Explanation:
:) hope this helps
who was the chairman of drafting committe
The illustration shows the forces in Newtons (N) acting on three different blocks. Which
boxes will move under these conditions?
Answer:a
Explanation:because I know
Answer:
B & C
Explanation:
the first block will not move
how do you increase the ideal mechanical advantage of an inclined plane?
Answer:
The mechanical advantage increases as the slope of the incline decreases. But the load will then have to be moved a greater distance. The ideal mechanical advantage (IMA) of an inclined plane is the length of the incline divided by the vertical rise, the so-called run-to-rise ratio.
Explanation:
PLEASE MARK ME AS BRAINLIEST
This image shows layers underground.
Top to bottom: Soil, Clay, Rocks, Granite.
Which layer will become saturated first when rain falls?
clay
granite
rocks
soil
Answer:
soil
Explanation:
CORRECT
Answer:
soil
Explanation:
Hope this will help
A 15 n net force is used to move a 5kg box. What is the resulting acceleration?
A. 15m/s^2
B. 5m/s^2
C. 20m/s^2
D. 3m/s^2
Answer:3 m/s
Explanation:
The resulting acceleration to move the 5Kg box is equal to 3m/s². Therefore, option (D) s correct.
What is acceleration?Acceleration can be defined as the rate of change in the velocity of an object with respect to time. The acceleration of an object is a vector parameter with both magnitude and direction. Acceleration is also defined as the first derivative of the velocity w.r.t. time and the second derivative of position w.r.t. time and
According to Newton's 2nd law of motion, the force is equal to the product of the mass (m) and acceleration.
F = ma
And, a = F/m
Therefore, the acceleration (a) inversely proportional to the mass (m).
Given, the force used to move the box, F = 15 N
The mass of the given Box, m = 5 Kg
The resulting acceleration, a = 15/5 = 3 m/s²
Therefore, the acceleration of the box is equal to 3 m/s² when it is pushed with a force of 15 N.
Learn more about acceleration, here:
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A hydrogen atom has a radius of 2.5 x 10-11 m
Determine the radius of a magnesium atom.
Answer:
[tex]R = 1.5* 10^{-10}m[/tex]
Explanation:
Given
[tex]r = 2.5 * 10^{-11}m[/tex] -- radius of hydrogen atom
See attachment
Required
Determine the radius of magnesium atom (R)
From the attachment, the ratio of a hydrogen atom to a magnesium atom is:
[tex]Ratio = 6mm : 36mm[/tex]
Simplify
[tex]Ratio =1 : 6[/tex]
Represent the radius as ratio:
[tex]Ratio = r : R[/tex]
Substitute [tex]r = 2.5 * 10^{-11}m[/tex]
[tex]Ratio = 2.5 * 10^{-11}m : R[/tex]
Equate both ratios
[tex]2.5 * 10^{-11}m : R = 1 : 6[/tex]
Express as fraction
[tex]\frac{2.5 * 10^{-11}m}{R} = \frac{1}{6}[/tex]
Cross Multiply
[tex]R * 1 = 2.5 * 10^{-11}m * 6[/tex]
[tex]R * 1 = 2.5 * 6* 10^{-11}m[/tex]
[tex]R * 1 = 15* 10^{-11}m[/tex]
[tex]R = 15* 10^{-11}m[/tex]
[tex]R = 1.5*10* 10^{-11}m[/tex]
[tex]R = 1.5* 10^{1-11}m[/tex]
[tex]R = 1.5* 10^{-10}m[/tex]
Hence, the radius of the magnesium atom is: [tex]1.5* 10^{-10}m[/tex]
How many electrons per second flow through a wire with a 12pA current?
Calculate the pressure exerted by the two straps of a handbag that has a force of 15N, and covers an area of 0.5cm2 (each)
Answer:
Pressure = 3000N/m²
Explanation:
Given the following data;
Force = 15N
Area = 0.5cm² to meters = 0.5/100 = 0.005m²
To find the pressure;
Pressure = Force/area
Substituting into the equation, we have:
Pressure = 15/0.005
Pressure = 3000N/m²
Identify the medium an electromagnetic wave travels the fastest in.
empty space or vaccum the Electro magnetic wave travels the fastest.
How would the model change as the atom forms bonds? The third shell would have eight electrons after the atom gains seven electrons to fill the outermost shell. The third shell would be empty so that the eight electrons in the second level would be outermost after the atom loses one electron. The first and third shells would be empty so that the atom would have eight electrons in its remaining shell after the atom loses three electrons. The first shell would have two electrons and the second shell would have six electrons after the atom loses three electrons.
Answer:
The third shell would be empty, so the eight electrons on the second level would be the outermost after the atom lost one electron
Explanation:
When an atom is bonded with other atoms, a more stable configuration must be reached, which is why the energy of the molecule is less than the energy of the individual atoms, for this to happen in general, electrons are shared or lost and gained in each atom, depending on the electronegative of the same.
If we analyze an atom within the molecule, its last shell is full, in the case of atoms with few electrons in this shell, they are lost and in the case of many electors in this shell, it gains electrons to have eight (8) in total.
When reviewing the different answers, the correct one is:
* The third shell would be empty, so the eight electrons on the second level would be the outermost after the atom lost one electron
Answer: It’s B
Explanation:
A fault is formed by the movement of a ___ plate boundary
A.convergent
B.traditional
C.divergent
D.transform
What is the gravitational potential energy of a 250 kg rock on top of a 200 meter cliff?
Answer:
500000 approx........
...
A rock is thrown horizontally off a cliff with an initial velocity of 15 m/s. How high was the cliff if the rock lands 22 m from the base of the cliff?
Answer:
22 m
Explanation:
Answer:
cliff height = 10.55 m
Explanation:
Remarks
This is one of those questions that defies belief. The final vertical velocity is the same as if you just dropped the rock, which is amazing.Another amazing fact is that the horizontal speed has no acceleration. And amazing fact number three is the the vertical initial speed is 0.And finally, the time taken to go horizontally = time to go vertically.Solution
Time
So the time taken is d = r * t
Remember, this formula can only be used when there is no acceleration.
d = 22 meters
r = 15 m/s
t = ?
t = d / r
t = 22 / 15
t = 1.467
Height of the Cliff
vi = 0 (vertially)
a = 9.8 m/s^2
t = 1.467 seconds The time horizontally and vertically is the same.
d = ?
Formula
d = vi*t + 1/2 a t^2
Solution
d = 0 + 1/2 * 9.8 * 1.467^2
d = 10.55 meters.
A constant friction force of 21 N acts on a 63-kg skier for 25 s on level snow. What is the skier’s change in velocity?
What will happen to a balloon filled with air when you cool the balloon in ice
Answer:
the volume of balloon decreases by the lower temperature because the gas inside is cool downBig sound is heard in bathroom than in a living room
Answer
That doesn't make any sense.
Explanation: