A circuit consists of three resistors and a 3.50 V battery. Two of the resistors have known resistances of 5 Ω and 10 Ω respectively. The third resistor has an unknown resistance. When the battery is connected to the circuit, the current running through the battery is measured to be 10 A.
a. Calculate the resistance of the unknown resistor.
b. Draw the circuit and label each component.
The resistance of the unknown resistor is determined as 0.39 ohms.
Equivalent resistance of the circuitThe total resistance of the circuit is calculated as follows;
V = IR
R = V/I
R = (3.5)/10
R = 0.35 ohms
The resistors are in parallel arrangement
1/R = 1/R₁ + 1/R₂ + 1/R₃
1/0.35 = 1/5 + 1/10 + 1/R₃
100/35 = 3/10 + 1/R₃
20/7 = 3/10 + 1/R₃
1/R₃ = 20/7 - 3/10
1/R₃ = (200 - 21)/70
1/R₃ = 179/70
R₃ = 70/179
R₃ = 0.39 ohms
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Gravity is the attractive pull between two objects that have mass. The strength of the gravitational distance. As distance between the objects increases, the force of gravity decreases. If the distance
one-fourth as strong as before. Which one of the graphs best represents the relationship between
pull is doubled,
gravity and distance. depends
on mass and the force of gravity is
A. A
B. B
C. C
D. D
Sorry for the bad picture right now i dont have to take a nice picture
Graph A best represents the relationship between pull is doubled, gravity and distance. depends on the mass and the force of gravity. Option A is correct.
What is Newton's law of gravity?Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.
The expression for the gravitational force is given as;
[tex]\rm F = G\frac{Mm}{r^2}[/tex]
Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.
Decreasing the distance would increase the gravity of the planet.
Gravity is the attraction force that draws two mass-containing objects together. the gravitational distance's strength.
The force of gravity weakens as the distance between the items rises. if the separation is just one-fourth as great as previously. In the graph, the link between pull and doubled is best represented by A.
Hence option A is correct.
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A train is traveling west at a velocity of 25 m/s. Another train is traveling east directly toward the west-bound train at a velocity of 15 m/s. The west-bound train blows its whistle with a frequency of 600 Hz when the two trains are 1000 m apart and then blows its whistle again 10 seconds later. For passengers on the east-bound train, how will the perceived frequency of the first whistle compare with the perceived frequency of the second whistle
(a) The frequency observed by the passenger on the east-bound train when they are 1000 m apart is 675.5 Hz.
(b) After 10 seconds, the frequency observed by the passenger on the east-bound train will be greater than the frequency observed when they are 1000 m apart.
Observed frequency
The frequency observed by the passenger on east-bound train is calculated by applying Doppler shift formula.
[tex]f = f_0(\frac{v \pm v_0}{v\pm v_s} )[/tex]
where;
f is observed frequencyf₀ is original frequency or source frequencyv is speed of soundv₀ is speed of observer (positive when moving towards source)vs is source frequency (negative when moving towards observer)when the two trains are 1000 m apart[tex]f = 600(\frac{343 +15}{343-25} )\\\\f = 675.5 \ Hz[/tex]
The frequency observed by the passenger increases with decrease in distance between the two trains.
Thus, after 10 seconds, the frequency observed by the passenger on the east-bound train will be greater than the frequency observed when they are 1000 m apart.
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To identify a satirical tone, look for words an author uses to exaggerate a particular character behavior to make that person appear ridiculous to the reader. A. True. B. False
To identify a satirical tone, look for words an author uses to exaggerate a particular character behavior to make that person appear ridiculous to the reader. The statement is True.
What is character?What a person thinks upon a situation and get through it makes the character of a person and defines his behavior.
Given is a statement "To identify a satirical tone, look for words an author uses to exaggerate a particular character behavior to make that person appear ridiculous to the reader".
The words used by the person forms the character. So, the author searches for the word which says about his character but the reader finds it ridiculous.
Thus, the statement is true.
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A standing wave measures 0.25 m between nodes and its frequency is 1500 hz. what is the standing wave's speed?
380 m/s
750 m/s
1500 m/s
Answer:
[tex]750\; {\rm m\cdot s^{-1}}[/tex].
Explanation:
The distance between two adjacent nodes of a standing wave is equal to one-half (that is, [tex](1/2)[/tex]) the wavelength of this wave.
Let [tex]\lambda[/tex] denote the wavelength of the standing wave in this question. The distance between two nodes of this wave is [tex]0.25\; {\rm m}[/tex], meaning that [tex](1/2)\, \lambda = 0.25\; {\rm m}[/tex]. Thus, [tex]\lambda = 2 \times 0.25\; {\rm m} = 0.50\; {\rm m}[/tex].
Given that [tex]f = 1500\; {\rm Hz}[/tex] is the frequency of the waves that formed this standing wave, the speed of these waves would be:
[tex]\begin{aligned}v &= \lambda\, f \\ &= 0.50\; {\rm m} \times 1500\; {\rm Hz} \\ &= 0.50\; {\rm m} \times 1500\; {\rm s^{-1}} \\ &= 750\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
You are riding a bicycle you apply forward force of 50 n, and you and the bicycle have a combined mass of 100kg. What is the acceleration of the bicycle?
Answer:
a = 0.5m.s²
Explanation:
Fnet = m×a
50 = 100×a
a = 0.5
According to current evidence, Pluto is best described as ________. an escaped moon of Jupiter or Saturn a large member of the Kuiper belt a small jovian planet a terrestrial planet that is surprisingly far from the Sun
pluto is best decribed as smallest planet
A force of 10 newtons acts in a direction 75° above horizontal, moving an object 15 meters from (0, 0) to (15, 0). what is the work done by the force?
Work done by the force is 150 Joules.
Steps involved in the question:
Step one:
Given data
Force F= 10N
the distance is described by the coordinate = (0,0) to (15,0)
hence the distance = 15m in the x-direction.
Step two:
Required is the work done
we know that work done is expressed as
Wd= Force* Distance
Wd= 10*15
Wd= 150 Joules
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in which area of the galaxy would you find stars with fairly circular orbits about the galactic center?
Stars with fairly circular orbits about the galactic center is found in the disk
What are stars?Stars are one of the astronomical object that is usually very bright.
A circular orbit star is a star that moves in circular direction and not elliptical orbit which is most common to starts.
Therefore, Stars with fairly circular orbits about the galactic center is found in the disk
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What is the smallest time interval in which a 5.7 T magnetic field can be turned on or off if the induced emf around the patient's body must be kept to less than 0.12 V ?
The smallest time interval in which the magnetic field can be turned on or off to induced the emf is 47.5 s.
Emf induced in the coil
The emf induced in the coil is calculated as follows;
emf = dФ/dt
where;
dФ is change in fluxdt is change in time0.12 = 5.7/dt
dt = 5.7/0.12
dt = 47.5 s
Thus, the smallest time interval in which the magnetic field can be turned on or off to induced the emf is 47.5 s.
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a lunar probe is moving 1670 m/s at a 73.0 angle. it needs to land on the moon 3.71 x 10^8 m away in a 46.0 direction in 8.64 x 10^4 s. what is the magnitude of the acceleration that the engine must produce?
The magnitude of the acceleration that the engine must produce is 0.065 m/s².
What is acceleration?Acceleration is given by the ratio of Resultant or total force acting on any object and the its mass.
It can also be defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
Given is a lunar probe is moving 1670 m/s at a 73° angle. it needs to land on the moon 3.71 x 10⁸ m away in a 46° direction in 8.64 x 10⁴ s.
The initial velocity will be
1670 x cos (73°-46°) = 1487.981 m/s
Using the second equation of motion, we have
s = ut + 1/2 at²
The final velocity will be zero after landing on Moon.
Substituting the values, we have
3.71 x 10⁸= 1487.981 x 8.64 x 10⁴ + 1/2 a ( 8.64 x 10⁴)²
Solving the equation, we get
acceleration, a = 0.065 m/s²
Thus, the magnitude of the acceleration that the engine must produce is 0.065 m/s²
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Answer:
The direction is 30.6
Explanation:
what is the global food supply
Answer:
The food supply chain comprises all the stages that food products go through, from production to consumption
Explanation:
Voltage is another name for the
difference. what word completes the sentence?
what should be done to protect forest ?
Plant trees on places where forests have been chopped down to restore damaged ecosystems. Encourage individuals to live in a way that is environmentally friendly. Create parks to conserve the rainforests and animals. Companies that operate in environmentally friendly methods should be supported.
ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. City B is south of City A, and the 200 mile trip by car takes 4 hours. The cities are 120 miles apart in a straight line. What is the velocity of a trip from City A to City B?
The velocity of a trip from City A to City B is 30 miles per hour.
What is velocity?The term velocity is defined as the ratio of displacement to time. Displacement refers to the distance that is covered in a specified direction.
Now given that the straight line distance from A to B is about 120 miles. hen it follows that the velocity of a trip from City A to City B is obtained from; 120 miles/ 4 hours = 30 miles per hour.
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Hydrogen fusion in the Sun requires a temperature (in Kelvin) of Group of answer choices any temperature, as long as gravity is strong enough. millions of degrees. billions of degrees. thousands of degrees.
Any temperature, as long as gravity is strong enough, may cause hydrogen fusion in the Sun, which requires a temperature of millions of degrees. Option A is correct.
What is the helium fusion process?When the temperature in the core hits around 100 million degrees, the helium will begin to fuse into carbon in a mechanism known as the triple-alpha process
Any temperature may result in hydrogen fusion in the Sun, which needs a temperature of millions of degrees, as long as gravity is strong enough.
Hence option A is correct.
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Anyone able to help with this one? The volume of a gas sample is 550 mL and the pressure is 1.8 atm. What will the new volume of the gas be if the pressure increases to 2.2 atm? Round your answer to the correct number of significant figures.
Answer:
450 ML
Explanation:
Given:
Volume of gas sample: 550 mL Pressure: 1.8 atm plus 2.2 atm
To find:
The new volume of the gas after the pressure increases to 2.2 atm.
___
steps
⇒ [tex]V_1P_1=V_2P_2[/tex]
⇒ [tex](550\text{ml})(1.8\text{atm})[/tex]
⇒ [tex]=(x)(2.2\text{atm})[/tex]
⇒ [tex]x=\frac{(550)(1.8)}{2.2}[/tex]
⇒ [tex]x=450\text{ml}[/tex]
Answer:
V₂ = 450 mL
Explanation:
Because you are dealing solely with pressure and volume, you can use Boyle's Law to find the missing value. The equation looks like this:
P₁V₁ = P₂V₂
In this formula, "P₁" and "V₁" represent the initial pressure and volume. "P₂" and "V₂" represent the final pressure and volume. You have been given values for all of the variables except for "V₂". Thus, you can substitute the given values into the equation and simplify to find the answer. The final answer should have 2 sig figs to match the given values.
P₁ = 1.8 atm V₁ = 550 mL
P₂ = 2.2 atm V₂ = ?
P₁V₁ = P₂V₂ <----- Boyle's Law equation
(1.8 atm)(550 mL) = (2.2 atm)V₂ <----- Plug given values in
990 = (2.2 atm)V₂ <----- Multiply 1.8 and 550
450 = V₂ <----- Divide both sides by 2.2
Two friends leave a movie theater and take different busses to the same ice cream shop. one bus takes a longer route driving on a high-speed highway, while the other takes a shorter route on lower-speed local roads. which friend has the greater displacement?
The friend who has the greater displacement is the one who takes the longest path.
What is displacement?The displacement is the shortest distance travelled by the particle. It is the vector quantity which re[presents both the magnitude and direction.
Given, two friends leave a movie theater and take different buses to the same ice cream shop. One bus takes a longer route driving on a high-speed highway, while the other takes a shorter route on lower-speed local roads.
According to the definition. the displacement is neither larger not shorter but it is the shortest distance traveled by the person or particle.
Thus, friend who has longer path has larger displacement.
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which blu-ray standard defines rewritable disks?
The blu-ray standard that defines rewritable disks is BD-RE which stands for Blu-ray Disc Recordable.
What is BD-RE?
BD-RE stands for Blu-ray Disc Recordable and it refers to two direct to disc optical disc recording technologies that can be recorded on to a Blu-ray-based optical disc with an optical disc recorder.
Thus, the blu-ray standard that defines rewritable disks is BD-RE which stands for Blu-ray Disc Recordable.
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When you see a figure, how do you know that it's representing a vector?
The way you will know that a figure represents a vector is that it will have magnitude and direction.
How to Identify a Vector?A figure that is a vector will typically have magnitude and direction. This means that it will be represented by an arrow(s) with its' magnitude also showing.
Whereas, on the opposite side, the figure is termed as a scalar if it doesn’t have a direction.
Thus, we can know a vector diagram if the magnitude and direction are indicated.
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A mother and her 35.0 -kg child are riding an escalator to the third level of a shopping mall. If the child's gravitational potential energy increases by 3773 J, determine the increase in potential energy of his mother if her mass is 56.0 kg.
The increase in potential energy of his mother if her mass is 56.0 kg will be 6031.97 J.
What is gravitational potential energy?The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.
The potential energy increases by 3773 J
PE₂-PE₁=mg(h₂-h₁)
3773 J = 35.0 × 9.81 × (h₂-h₁)
(h₂-h₁) = 10.98
Case 2 ;
ΔPE =?
ΔPE=mg(h₂-h₁)
ΔPE=56.0 × 9.81 ×10.98
ΔPE=6031.97 J.
Hence, the increase in potential energy of his mother if her mass is 56.0 kg will be 6031.97 J.
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What is the density of an 84.7g sample of an unknown substance if the sample occupies 49.6 cm^3?
Answer:
1.708 g/cm^3
Explanation:
Density = mass/volume
= 84.7 g / 49.6 cm^3 = 1.708 g/cm^3
a car with a mass of 2,00 kg travels a distance of 400 m as it moves from one stoplight to the next . as its fastest , the car travels at 18 m/s. what is its kinetic energy at this point?
Answer:
32400 J
Explanation:
K.E.=(1/2)(200)(18^2)
What is the total amount of charge and energy, respectively, that the capacitor will store if it is connected to the battery on the railcar?.
The total amount of charge and energy will be 1.20 C and 7.20 J respectively
What is a capacitor?A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.
An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.
Given data;
Voltage,V= 12V
Capicitance,C=100mF = 100 × 10⁻³ F
The total amount of charge is;
Q=CV
Q=100 × 10⁻³ × 12 V
Q=1.20 C
The energy stored by the capacitor;
[tex]\rm U = \frac{1}{2}CV^2 \\\\ \rm U = \frac{1}{2}\times 100 \times 10^{-3} \times (12 \ V)^2 \\\\ U= 7.20 \ J[/tex]
The energy stored by a capacitor will be 7.20 J.
Hence, the total amount of charge and energy will be 1.20 C and 7.20 J respectively
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A transformer has two coils. Coil A has 75 turns and coil B has 100 turns. In the first instance, coil A is used as the primary coil, which is connected to an ac current source. As a result, the peak voltage of the secondary coil, B, has a value VP. Then, coil B is used as the primary coil and coil A becomes the secondary coil. The ac current source is then adjusted to deliver the same current to coil B as it did to coil A in the first instance. For this case, how does the peak voltage of the secondary coil, A, compare with VP.
The peak voltage based on the information given will be 1.33V.
How to calculate the voltage?From the information given, Coil A has 75 turns and coil B has 100 turns.
The voltage will be:
IVa = IVb
We will then substitute the values. c
V = 100/75
V = 1.33V
Therefore, the peak voltage based on the information given will be 1.33V.
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modern observations have shown that the geometry of the universe is ____.
Modern observations have shown that the geometry of the universe is flat and the universe mist be infinite.
What is geometry?Geometry refer to a branch of mathematics that encapsulates measurements of lines, shapes, dimensions, points and shapes.
Therefore, Modern observations have shown that the geometry of the universe is flat and the universe mist be infinite.
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Hi,i need this hurry and correctly please!!!,fake answers i report you.Thanks.
Step-by-step explanation:
Step 1: Formula
10.0 = Meters
800 = Newtons
4.0 = Centre of Gravity
Explanation in words (Short Form)
- We know all the formulas and that we are calculating the least force being applied. We know that balancing the pole at (A) with the weight of the gravity will equal more force at B times 10. So the answer will be 320 N because the B force will equal 3200. If we divide 3200 by 10. The answer will result as 320. So the final answer for this question is 320N
Answer:
Balancing the pole at A with the weight acting at the centre of gravity = 800(4) Force at B multiplied by 10 = 3200 divided by 10 equals 320N
= 320N
Hope this helps.
A mass of 2000 kg. is raised 2.0 m in 10 seconds. What is the kinetic energy of the mass at this height?
Answer:
200 j is kinetic energy of mass
Why is CH4 not a suitable proxy for the surface pressure?
Explanation:
Methane (CH4) is 30 times stronger than carbon dioxide as an absorber of infrared radiation.
Answer:
The main reasons why CH4 has a higher vapor pressure at a given temperature when compared to CH3Cl is that CH4.
And Is 30 Times Stronger than Carbon dioxide...
Explanation:
Hope It Helps!!!
What chemical is needed to produce energy and where is it stored?.
Answer:
chemical energy, Energy stored in the bonds of chemical compounds. Chemical energy may be released during a chemical reaction, often in the form of heat; such reactions are called exothermic
Explanation:
hope it will help you
