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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Please help me! Uniform acceleration problem sheet:
In 1997, the thrust SSC, a turbofan powerd vehicle, acheive the land speed world record of 780.34 mph (1,223.65km/h) and became the first car to break the sound barrier. If it tool 1 minute for the thrust SSC to reach its top speed, what was the average acceleration during the time?
From the calculation, the value of the acceleration is 5.8 m/s^2.
What is uniform acceleration?The term uniform acceleration refers to a situation in which the velocity increases by equal amounts in equal time intervals.
Given the fact that the car started from rest and reached a velocity of 780.34 mph or 348.84 m/s in 1 minute of 60 seconds;
v = u + at
a = v/t
a = 348.84 m/s/ 60 seconds
a = 5.8 m/s^2
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A rare butterfly (0.01 kg) is slowly flapping its wings and moving across a road. An unsuspecting driver in a large car (1000 kg) going very fast makes a sharp turn and runs directly into the butterfly. The butterfly smashes against the windshield (of course) but the car keeps moving down the road. Which object has the greater force: The butterfly or the car?
Both the butterfly and the large car will have equal forces but in opposite direction.
Newton's third law of motion
Newton's third law of motion states that action and reaction are equal and opposite. That is, the force exerted on an object is equal to the reaction experienced by the object.
Fa = - Fb
where;
Fa is the force exerted by the large carFb is the force of the butterflyThus, both the butterfly and the large car will have equal forces but in opposite direction.
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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 proton moves in the negative x-direction through a uniform magnetic field in the negative y-direction what is the direction of the magnetic force acting on the proton?
out of the page
into the page
in the positive y-direction
in the negative y-direction
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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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 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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A golfer wishes to chip a shot into the hole 50m away on flat level ground. if the ball flies to a maximum height of 25m, what speed must it have initially to reach the hole?
it's grade 11 physics, so the more equations the better, thanks :d
The speed the golf must have initially to reach the hole is 31.32`1 m/s.
What is projectile?When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.
A golfer wishes to chip a shot into the hole 50m away on flat level ground. if the ball flies to a maximum height of 25m.
The angle with which the ball flies,
tan θ = 25 m/ (50m/2)
tan θ =1
θ =45°
If u is the initial speed, the maximum height of the ball is
H = u² sin²θ / 2g
Put the values, we get
25 = u² sin²45 / (2x9.81)
u = 31.321 m/s
Thus, the initial speed is 31.321 m/s
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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)
Against the park ranger's advice, a visitor at a national park throws a stone horizontally off the edge of a 83 m high cliff and it lands a distance of 93 m from the edge of the cliff, narrowly missing a visitor below.
What was the initial horizontal velocity of the rock, in m/s? You can round your answer to the hundredths place and use g ≈ 10 m/s2.
Answer:
20.37m/s
Explanation:
For this problem, we'll need a basic kinematic equation for both directions
Vertical direction:
[tex]y(t)=\frac{1}{2}a_{y}t^{2}+v_{o_y}t+y_{o}[/tex]
Knowing that the acceleration in the y-direction is due to gravity, and is constant near the surface of the Earth, where the rock is being thrown, we get [tex]a_{y}=g=-10m/s^{2}[/tex]. We're also given that the initial vertical height is 83m, so [tex]y_o=83m[/tex]. Additionally, we're given that the stone is thrown horizontally, and thus initially, it has no vertical velocity. Only velocity in the x-direction. Thus, [tex]v_{o_y}=0m/s[/tex]. Substituting known values into our equation:
[tex]y(t)=\frac{1}{2}(-10)t^{2}+(0)t+(83)[/tex]
[tex]y(t)=-5t^{2}+83[/tex]
This equation is true for all times until the acceleration changes (isn't constant... i.e. when it hits the ground).
What now?
We want to find the specific time when it does hit the ground. Why? Because this is the point in time where we know some extra information about what is happening in the x direction, and that will help us deal with the x-direction equation.
When the stone does hit the ground, the output of this function (measuring the height of the stone) is zero, which leaves only one unknown value, t... the time associated with that y: the time that it takes to hit the ground:
[tex]0=-5(t_{ground})^{2}+83\\-83=-5(t_{ground})^{2}\\\frac{-83}{-5}=(t_{ground})^{2}\\16.6=(t_{ground})^{2}\\\sqrt{16.6}=\sqrt{(t_{ground})^2}\\4.074309757seconds=t_{ground}[/tex]
Again, this is the time that the stone hits the ground. Knowing how special this time is, one might give it a special subscript to keep track of it.
[tex]t_{ground}=4.074309757seconds[/tex]
Horizontal direction
Reusing the basic kinematic equation for the horizontal direction:
[tex]x(t)=\frac{1}{2}a_{x}t^{2}+v_{o_x}t+x_{o}[/tex]
Note that in the horizontal direction, there is no acceleration (after the rock is released), so [tex]a_{x}=0[/tex]. Also, if we define the base of the cliff as our origin, then at the top of the cliff where the rock is released, the initial x-position is still zero, aka, [tex]x_{o}=0[/tex]
[tex]x(t)=\frac{1}{2}(0)t^{2}+v_{o_x}t+(0)\\x(t)=v_{o_x}t[/tex]
While we don't know the initial horizontal velocity, we do know an output of the function for one specific input... we know that when the stone hits the ground, that the stone's horizontal distance is 93m from the cliff. So, if we input [tex]t_{ground}[/tex] into this function, it will give an output of 93. The only remaining unknown is the initial velocity in the x direction. One equation, one unknown, we can solve this:
[tex]x(t_{ground})=v_{o_x}t_{ground}\\83=v_{o_x}(4.074309757)\\\frac{83}{4.074309757} =v_{o_x}\\20.37154879m/s =v_{o_x}\\[/tex]
If there were a component of initial velocity in the y direction, we would need to use the Pythagorean theorem to combine them. However, as the initial y component of velocity is zero, the initial velocity is simply the initial x velocity.
Paying attention to directions, round to the answer to the nearest hundredth:
[tex]20.37m/s =v_{o}\\[/tex]
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
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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how does radiation differ from conduction and convection for the transference of heat
?
Answer:
look below! :)
Explanation:
Radiation transfers heat through electromagnetic waves
conduction transfers heat through direct contact of things
convection transfers heat through movement of air or water
the range of diameters and luminosities displayed by elliptical galaxies is ____.
The range of diameters and luminosities displayed by elliptical galaxies is 3000 to 700,000 light years and Mv-23 down to Mv- -16 mag respectively
What are elliptical galaxies?Elliptical galaxies are type of galaxies with a smooth ellipsoidal shape.
They are the most abundant galaxies in the universe.
Their diameter ranges from 3, 000 to 700, 000 light years.
Their luminosity ranges from Mv-23 down to Mv- -16 mag
Therefore, the range of diameters and luminosities displayed by elliptical galaxies is 3000 to 700,000 light years and Mv-23 down to Mv- -16 mag respectively.
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a sample contains 100 g of radioactive isotope. How much radioactive isotope will remain in the sample after 1 half-life?
Answer:
[tex]\huge\boxed{50g}[/tex]
Definition:
Half-life- The time taken for half of the radioactive isotopes to decay.
Explanation:
How does radioactive decay work? Radioactive decay is a process by which unstable nuclei become more stable through the emission of alpha or beta particles or gamma rays.
Since a half-life is the time taken for half of the isotopes to decay, we can simply divide the initial mass of 100 grams by 2; this gives us 50 grams.
1) Divide 100g by 2.
[tex]\frac{100g}{2}=50g[/tex]
A metal wire, initially 1.000m long, extends by 4mm when a loaded of 2N is added to it. What will the length of the wire be if a further 3N is added, assuming it does not extend beyond its limit of proportionally?
Explanation:
you should first find the proportionality constant or the spring constant(as we see it as a spring).the find the value of x so that the force is 3N
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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What is the difference between a conductor and an insulator?
Select one:
O a. An insulator transfers thermal energy while a conductor does not. Insulators do not
allow thermal energy to move through them.
Ob.
A conductor transfers thermal energy while an insulator does not.
O c.
Both conductors and insulators transfer thermal energy, but not electrical energy.
One of them does not transfer energy.
O d. Both conductors and insulators transfer electrical energy, but not thermal energy.
Answer:
b
Explanation:
An insulator does not transfer thermal or electrical energy but a conductor does
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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If a volume of air is warmed, it expands and tends to
if a volume of air is warmed it expands due to increased translational kinetic energy as it expands it will start to cool.
When does temperature increase volume?We can then conclude that at constant pressure, temperature and volume are directly proportional: temperature increases, volume increases; decrease temperature, decrease volume.
In this case, the higher the temperature, the greater the kinetic energy that acts on the molecules of this gas, so when the gas expands, these molecules find more space and collide less, which will cause the gas to cool.
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Determine the value of n so that the vectors A and B are perpendicular: Ā = î + 5j + nk and B = 2î - j + k
If [tex]\vec A[/tex] and [tex]\vec B[/tex] are perpendicular, then their dot product is zero. This means
[tex]\vec A \cdot \vec B = (\vec\imath + 5\,\vec\jmath + n\,\vec k) \cdot (2\,\vec\imath - \vec\jmath + \vec k) = 2 - 5 + n = 0[/tex]
Solving for n is trivial; it follows that n = 3.
a cyclist applies a constant forward force of 20 N to maintain a velocity 2.5 m/s. how much power does the cyclist deliver?
The power exerted by the cyclist is determined as 50 W.
Average power exerted by the cyclist
The power exerted by the cyclist is calculated as follows;
P = FV
where;
F is the applied forceV is velocityP = 20 x 2.5
P = 50 W
Thus, the power exerted by the cyclist is determined as 50 W.
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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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which of the following travels the fastest
All move at the same speed.
Explanation:
Electronic magnetic spectrum includes radio waves, micro waves, infra red, visible light, ultra violet, x-rays, gamma rays. These all electromagnetic waves travel at the same speed of light of about 300,000,000 m/s through vacuum. Though they have different wavelength, their speed is same.
What is the frequency in hertz of the UK
mains electricity supply?
Answer:
HERTZ=HZ
Explanation:
Identify each statement that describes a benefit of the scientific method. (Select all choices that apply)
Group of answer choices
a) It provides an answer to questions immediately.
b) It gives scientists a standardized way to approach a problem.
C) It gives scientists a common vocabulary for sharing information.
D) It reduces bias and judgment from personal experiences.
The statements that describe a benefit of the scientific method are as follows:
It gives scientists a standardized way to approach a problem. It reduces bias and judgment from personal experiences. It gives scientists a common vocabulary for sharing information.Thus, the correct options are B, C, and D.
What is the Scientific method?The scientific method may be defined as a strategy of research in which a problem is recognized, relevant data is collected, a conjecture is composed of this data, and the assumption is empirically tested to determine the outcome of particular research.
The scientific method never explains or provides an answer to any question immediately because it consists of a scripted format with certain parameters.
The scientific method uses the identical vocabulary for sharing information with one another in particular terminology.
Therefore, it is well described above.
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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:
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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A car is moving at a rate of 72km/hr . How far does the car move when it stops after 4 seconds?
step by step asap pls
Answer:
The car will stop after 4 seconds after moving the distance of 0.08km.
Explanation:
The reading above it clearly states that a car is moving at a speed of 72Km/hr. And it asking for the distance the car move when it stops after 4 seconds.
Looking at speed formula , speed=distance÷time.
But in this problem we I finding distance, so in speed formula make distance the subject.
Therefore distance = speed × timeBefore going ahead you should have this in mind the unit for distance is Km and m . Our speed is in Km/hr but our time is in second. In this case change 4 seconds to hour which is 0.00111 hr .you change second to hour because hr will cancel hr when solving for distance giving distance unit Km
Distance = speed × time
Distance= 72km/hr × 0.00111 hr
hour cancel hour
Distance= 72km × 0.00111
Distance = 0.08km
Therefore the car will stop after 4 seconds after moving the distance of 0.08km.
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conversion :
72 km/h = 72 × (1000/3600) = 20 m/s
so, in 4 seconds it travel
4 × 20 = 80 meters = 0.08 km