Answer:
The magnitude of the induced emf in the loop of wire, \(e = 0.00112 V\)
Explanation:
Cross Sectional Area of the loop, A = 2 m²
Magnetic Field Strength, B = 2 T
Rate of change of magnetic field strength, dB/dt = 2 T/hr
dB/dt = 2 * 1/3600
dB/dt = 0.00056 T/s
The induced emf is given by the equation: \(e = \frac{d \phi}{dt}\)
\(\phi = BA\)
Differentiating both sides with respect to t
\(\frac{d \phi}{dt} = \frac{d(BA)}{dt}\\\\\frac{d \phi}{dt} = A \frac{dB}{dt}\)
Since \(e = \frac{d \phi}{dt}\)
\(e = A \frac{dB}{dt}\\\\e = 2 * 0.00056\\\\e = 0.00112 V\)
How did the Mayflower Compact influence colonists’ views on government?
Answer:
It demonstrated that the colonists were capable of local, self-government.
Explanation:
this is the correct answer because i have already done this
How do supersonic flights create sonic boom? Please explain in detail.
Supersonic flights are moving with speed greater than that of sound. This speed through air will combine the pressure waves and creates shock waves. Continuation of shock waves leads to sonic boom in air.
What is sonic boom ?Sonic booms are sound created on the ground by overpressure in the air generated by fastly moving objects. Similar to someone dumping goods from a moving car, an aircraft travelling at supersonic speeds continuously produces shock waves that cause sonic booms to travel throughout its flight path.
The boom seems to be swept rearward as it moves away from the aeroplane from its point of view. The boom will strike the ground in front of the aircraft if the aircraft makes a rapid turn or pulls up.
The abrupt start and release of pressure following the building by the shock wave or "peak overpressure" is what is heard as a "sonic boom" on the ground. Only a few pounds per square foot change in pressure results from a sonic boom, which is about equivalent to the pressure shift we experience in an elevator.
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how much work is done if a force of 20 N moves an object a distance of 6 m?
Explanation:
W=F×s
w=20N×6m=120J
W=120J
What are the characteristics of a nebulae? (Select all that apply.)
end-stage of a star’s life
contain hydrogen
clouds of gas and dust
location of gas planets
needed to create a star
Answer:
B. contain hydrogen
C. clouds of gas and dust
E. needed to create a star
Explanation:
A star is a giant astronomical or celestial object that is comprised of a luminous sphere of plasma, binded together by its own gravitational force.
Some of the examples of stars are; Vega, Sun (closest to planet Earth), Antares, Betelgeus, Canopus, etc.
Stars are typically made up of two (2) main hot gas, Hydrogen (H) and Helium (He). The chronological order in which the formation of a star occur are;
1. Gravity pulls gas and dust together to form dense cores.
2. A protostar forms as mass increases.
3. Nuclear fusion begins under high pressure.
Scientists have been able to understand and discover that, gravity pulled materials (low-density cloud of interstellar gas and dust known as a nebula) together forming the planetary bodies in our solar system.
A dark nebula can be defined as an interstellar cloud that is so dense as a result of high concentration of gas and dust and as such it obscures the visible wavelengths of light from stars behind it, thus appearing completely opaque (dark patch) in front of a bright emission nebula or in regions having plenty stars.
The characteristics of a nebulae are;
I. It contain hydrogen.
II. Clouds of gas and dust
III. It is needed to create a star.
Describing Physical Changes
Define kinetic energy and thermal energy. Describe what
happens to each as the temperature of a substances
increases.
During Physical Changes, kinetic energy and thermal energy. of the material changes as well as temperature of the substances also changes.
What is Physical Changes?Physical changes are those that affect a chemical substance's form but not its chemical content. Physical changes may normally be used to separate compounds into chemical elements or simpler compounds, but they cannot be used to separate mixtures into their component compounds.
When something changes physically but not chemically, it is said to have undergone a physical change. Physical means can be used to undo a physical alteration.
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A 100 cm length of nichrome wire has a radius of 0.50 mm, a resistivity LaTeX: \rho_0ρ 0= 1.0 × 10-6 Ω ∙ m , and a temperature coefficient LaTeX: \alphaα = 0.4 × 10-3 (oC)-1. At T0 = 20 oC the wire carries current of 0.50 A. How much power does the wire dissipate at a temperature T = 350 oC? Assume the potential difference across the ends of the wire remains constant. Group of answer choices
Answer:
P₃₅₀ = 0.28 watt
Explanation:
First we find the resistance of the wire at 20°C:
R₀ = ρL/A
where,
ρ = resistivity = 1 x 10⁻⁶ Ωm
L = Length of wire = 100 cm = 1 m
A = cross-sectional area of wire = πr² = π(0.5 x 10⁻³ m)² = 0.785 x 10⁻⁶ m²
Therefore,
R₀ = (1 x 10⁻⁶ Ωm)(1 m)/(0.785 x 10⁻⁶ m²)
R₀ = 1.27 Ω
Now, from Ohm's Law:
V = I₀R₀
where,
V = Potential Difference = ?
I₀ = Current Passing at 20°C = 0.5 A
Therefore,
V = (0.5 A)(1.27 Ω)
V = 0.64 volts
Now, we need to find the resistance at 350°C:
R₃₅₀ = R₀(1 + αΔT)
where,
R₃₅₀ = Resistance at 350°C = ?
α = temperature coefficient of resistance = 0.4 x 10⁻³ °C⁻¹
ΔT = Difference in Temperature = 350°C - 20°C = 330°C
Therefore,
R₃₅₀ = (1.27 Ω)[1 + (0.4 x 10⁻³ °C⁻¹)(330°C)]
R₃₅₀ = 1.44 Ω
Now, for power at 350°C:
P₃₅₀ = VI₃₅₀
where,
P₃₅₀ = Power dissipation at 350°C = ?
V = constant potential difference = 0.64 volts
I₃₅₀ = Current at 350°C = V/R₃₅₀ (From Ohm's Law)
Therefore,
P₃₅₀ = V²/R₃₅₉
P₃₅₀ = (0.64 volts)²/(1.44 Ω)
P₃₅₀ = 0.28 watt
An athlete exerts 3000 W of power when he takes 10.2 s to run the race. How much WORK does the athlete do?
Answer:
30600 J
Explanation:
Work = Power* Time
=30600 J
Why do hurricanes develop over oceans?
Question 5 options:
The ocean is affected by the Coriolis effect.
The ocean winds blow from north to south.
The warmer ocean adds water vapor to the air mass.
The ocean currents cause air to move toward the land.
My guess is; The warmer ocean adds water vapor to the air mass.
I'm really sorry if I'm wrong
The warmer ocean adds water vapor to the air mads
What is the correct unit for the following measurement?
Jane wants to know how long her room is.
gm/cm3
liters (L)
cubic centimeters (cm3)
Celsius (°C)
grams (g)
meters (m)
If Jane wants to know how long her room is, the correct unit for the measurement is meters (m).
In the question, we are told that Jane wants to measure her room. This means that Jane wants to measure length. The only unit of length that is mentioned among the options is meters (m).
This means that, if Jane wants to know how long her room is, the correct unit for the measurement is meters (m).
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Answer: meters (m)
Explanation:
6) An object is released from rest at the top of a ramp inclined at 30. degrees up from the horizontal. Due to friction, the ramp is only 20. % efficient. What is the object's speed after it slides down ALONG the ramp for 2.0 m? *
Answer:
Explanation:
I've been doing these types of problems for many years and I don't think I've ever seen an "efficiency" rating on a ramp.
I'm going to ASSUME that 20% efficient means that 80% of the Potential energy that gets converted becomes system internal heat energy.
Potential energy at the start of a 2.0 m slide
PE = mgh = mg2sin30 = mg2(½) = mg J
0.8mg J gets converted to heat and 0.2mg converts to kinetic energy
0.2mg = ½mv²
v² = 0.4g
v = √(0.4(9.8)) = 1.979898... ≈ 2.0 m/s
a train travels 8.81 m/s in a -51.0 direction. the train accelerates 2.23 subtext1
The horizontal component of the train's speed is 5.54 m/s and the vertical component's of the train's speed is 6.85 m/s.
Horizontal component of the train's speed
The horizontal component of the train's speed is calculated as follows;
Vx = V cosθ
where;
V is the speed of the trainθ is the direction of the train.Vx = 8.81 m/s x cos(51)
Vx = 5.54 m/s
Vertical component's of the train's speedVy = 8.81 m/s x sin(51)
Vy = 6.85 m/s
Thus, the horizontal component of the train's speed is 5.54 m/s and the vertical component's of the train's speed is 6.85 m/s.
The complete question is below:
a train travels 8.81 m/s in a -51.0 direction. the train accelerates 2.23 m/s². Find the horizontal and vertical component of the train's speed.
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As the shuttle bus comes to a sudden stop to avoid hitting a dog. It accelerates unfirmly at -4.1m/s^2 as it slow down from 9.0m/s to 0.0m/s. Find the interval of acceleration for the bus
The interval of acceleration of the bus will be 2.19 seconds.
What is acceleration?An object is considered to have been accelerated if its velocity changes. Depending on whether an object is moving faster, slower, or in a different direction, its velocity may change.
Examples of acceleration include a falling apple, the moon orbiting the earth, and a car that has stopped at a stop sign. These examples demonstrate how acceleration occurs whenever a moving object modifies its direction, speed, or both.
Acceleration is a vector quantity.
SI unit of acceleration is m/s.
According to the question, the given values are :
Acceleration, a=-4.1 m/s²
Initial velocity, u=9.0 m/s and,
Final velocity, v=0 m/s
By using Equation of motion, i.e.,
v=u+at
⇒0 m/s=9m/s+(-4.1 m/s²)(t)
⇒-9 m/s=-4.1 m/s²×t
t=(-9 m/s)/(-4.1 m/s²)
t= 2.19 seconds.
Hence, the time interval of acceleration of the bus will be 2.19 seconds.
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PLEASE HELP AND SHOW WORK,THANK YOU!!
4) Suppose that two identical
mass planets are sitting
million miles apart. At that
distance the planets have a
gravitational force of 1,000,000 N.
If the planets are moved
to two million miles apart, what
is the new gravitational force
between them?
The new gravitational force between the two planets, when they are moved to two million miles apart, is 250,000 N
The gravitational force between two objects can be calculated using Newton's Law of Universal Gravitation, which states that the force is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Given:
Initial distance between the planets = 1 million miles
Initial gravitational force = 1,000,000 N
Final distance between the planets = 2 million miles
To determine the new gravitational force, we need to compare the ratios of the distances and apply the inverse square law.
Let's denote the initial distance as d1, the initial gravitational force as F1, the final distance as d2, and the unknown final gravitational force as F2.
According to the inverse square law, the ratio of the gravitational forces is the square of the ratio of the distances:
(F2/F1) = (d1/d2)²
Substituting the given values:
(F2/1,000,000 N) = (1 million miles / 2 million miles)²
Simplifying:
(F2/1,000,000 N) = (1/2)²
(F2/1,000,000 N) = 1/4
F2 = (1/4) * 1,000,000 N
F2 = 250,000 N
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Calculate amount needed to cool 116 g of water from 85 C to 15 C
The heat required to chill 116 g of water from 85°C to 15°C is 33,242.08 J. (or 33.24 kJ).
What exactly is heat of energy?The moving of minuscule particles known as atoms, molecules, or ions in solids, liquids, and gases produces heat energy. The amount of heat required to cool a substance can be calculated using the formula:
Q = m × C × ΔT
where Q is the heat absorbed or released (in joules), m is the mass of the substance (in grams), C is the specific heat capacity of the substance (in joules per gram per degree Celsius), and ΔT is the change in temperature (in degrees Celsius).
For water, the specific heat capacity is 4.184 J/g°C.
Using this formula, we can calculate the amount of heat released when cooling 116 g of water from 85°C to 15°C as:
Q = m × C × ΔT
Q = 116 g × 4.184 J/g°C × (85°C - 15°C)
Q = 116 g × 4.184 J/g°C × 70°C
Q = 33,242.08 J
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An investigation of an automobile crash suggests that vehicle A was moving at 52
mph toward the south and vehicle B was moving at an unknown speed toward the
north, when the two cars collided, sticking together after the collision.
Vehicle A weighs 1350 lbs., and vehicle B weighs 1893 lbs. If the cars did not move
significantly after their collision, find the initial speed of vehicle B in mph.
mph (miles per hour)
Answer:
Here the total momentum of the vehicles is conserved during even after the collision. The two cars are not moving after, hence their final momentum is zero which means, the have equal and opposite momentum. Hence, the initial speed of B were, 37 mph.
What is momentum ?Momentum of an object is the product of the mass and velocity of the object. It is a vector quantity and having both direction and magnitude.
Given mass of A = 1350 lbs
v = 52 mph
then momentum = 1350 lbs × 52 mph = 70200 lbs mph
Mass of B = 1893 lbs
let its velocity be v .
then momentum = 1893 v.
According to conservation of momentum:
m1u1 + m1 u2 = (m1+ m2) v
The cars are not moving after the collision. Hence, the final speed is zero.
then, 70200 lbs mph + 1893 v = 0
70200 lbs mph = - 1893 v
v = 70200 lbs mph /1893 lbs
= 37 mph.
Therefore, the velocity of the car B is 37 miles per hour.
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A series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 to
a battery. What is the total equivalent resistance?
The total equivalent resistance of the circuit which consists of 4 resistors ( 1202, 180, 320 and 3802 ) connected in series is 50.1 KΩ
Resistance of resistor,
1202 = 12 KΩ180 = 18 Ω320 = 32 Ω3802 = 38 KΩTotal equivalent resistance, R = R1 + R2 + R3 + R4
R = 12000 + 18 + 32 + 38000
R = 50.1 KΩ
Equivalent resistance is a another way of indicating total resistance. The equivalent resistance will be of a single resistor that replaces the total network without altering any effect on the system.
Therefore, the total equivalent resistance of a series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 is 50.1 KΩ
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A 100V battery connected to two oppositely charged plates that are 10cm apart.
a. What is the magnitude of the electric field?
b. What is the electric force exerted on a +200uC ?
Answer:
Work to move unit charge from one plate to the other separated by d
W = E q d
Electric potential: V = W / q
E = V / d = 100 Volts / .1 m = 1000 Volts / m
F = E q = 1000 Joule / C m * 2 * 10E-4 C
F = .2 J / m = .2 N
What happens to the atoms of a material when you run electricity through that material?
a
The bonds that hold the atoms together begin to stretch due to the electric current
b
The neutrons, having no charge, resist the flow the electric energy through the atom
c
The electricity only goes into atoms that have an overall electric charge of the same orientation of the electric flow
d
The electrons inside the atoms gain the energy from the electricity and jump to higher electron energy levels than normal with the excess energy
Answer:
A) The bonds that hold the atoms together begin to stretch due to the electric current.
Explanation:
convert -40⁰ c to Fahrenheit scale
Answer:
104f
Explanation:
(40°C × 9/5) + 32 = 104°F
Raju completes one round of a circular track of diameter 200m in 30s. Calculate
a. The distance travelled by Raju
b. The magnitude of displacement travelled by Raju at the end of 30 s.
Explanation:
Given:
Diameter = 200 m
Radius, r = 200/2 = 100 m
Time taken, t = 30 seconds
Formula to be used:
Distance traveled, = circumference of circle = 2πr
Answer:
Putting all the values, we get
Distance traveled = 2πr
Distance traveled = 2 × 22/7 × 100 Distance traveled = 4400/7 Distance traveled = 628.57 mSo, the distance traveled by Raju is 628.57 m.
Now, magnitude of the displacement,
At the end of 30 seconds, Raju will come to starting position or initial position, so displacement is zero.
how long does it take for light to travel 2.5m in water?
1. What are Earth's natural climate cycles?
one deterrent to burglary is to leave your front porch light on all the time if your fixture contains the 23 watt compact fluorescent bulb at 120 volts and your local power utility cell's energy at ten cents per kilowatt-hour how much will it cost to leave the bulb on for the entire month
Answer:
Cost = 165.6 cents = $1.656
Explanation:
First, we will calculate the total energy consumed by the bulb in a month:
\(E=Pt\\\)
where,
E = Energy Consumed = ?
P = power = 23 W
t = time = (1 month)(30 days/1 month)(24 h/1 day) = 720 h
Therefore,
\(E = (23\ W)(720\ h)\\E = 16560\ Wh = 16.56\ Kilowatt-hour\)
Now, the cost will be:
\(Cost = P(Unit\ Cost)\\Cost = (16.56\ kilowatt-hour)(10\ cents/kilowatt-hour)\)
Cost = 165.6 cents = $1.656
ASK YOUR TEACHER An oil slick on water is 99.8 nm thick and illuminated by white light incident perpendicular to its surface. What color does the oil appear (what is the most constructively reflected wavelength, in nanometers), given its index of refraction is 1.38
Answer:
There will be a phase change at the 1-1.38 interface and no phase change at the 1.38-1.33 interface.
At a thickness of lambda / 4 (y/4) one should get constructive interference for the reflected light.
y = 4 * 99.8 * 10E-9 m = 400 nm (about) = 4 * 10E-7 m
The color of this light will be violet or blue
A copper transmission cable 50.0 km long and 10.0 cm in diameter carries a current of 105 A. What is the potential drop across the cable? Let ρcopper = 1.72 × 10—8 Ω • m.
A) 5.75 V
B) 5.48 V
C) 11.5 V
D) 16.9 V
5.48 V is the potential drop across the cable for a copper transmission cable of 50.0 km long and 10.0 cm in diameter carries a current of 105 A
Ohm's Law states that the potential drop is determined by the equation: V = IR, where I is the current and R is the wire resistance.
R=PL/A
Under the assumption that all physical parameters and temperatures remain constant, Ohm's law asserts that the voltage across a conductor is directly proportional to the current flowing through it.
Only when the given temperature and the other physical variables remain constant does Ohm's law apply. Increasing the current causes the temperature to rise in some components. The filament of a light bulb serves as an illustration of this, where the temperature increases as the current increases. Ohm's law cannot be applied in this situation. The filament of the lightbulb defies Ohm's Law.
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Tsunamis are fast-moving waves often generated by underwater earthquakes. In the deep ocean their amplitude is barely noticable, but upon reaching shore, they can rise up to the astonishing height of a six-story building. One tsunami, generated off the Aleutian islands in Alaska, had a wavelength of 668 km and traveled a distance of 3180 km in 4.81 h. (a) What was the speed (in m/s) of the wave
Answer:
215.5 m/s
Explanation:
Given that:
the wavelength λ = 668 km
distance (d) = 3180 km
time t = 4.81 hr
\(a) speed (v) =\dfrac{distance}{time}\)
\(speed (v) =\dfrac{3180}{4.1}\)
\(speed (v) =775.61 \ km/h\)
\(speed (v) =(\dfrac{775.61\times 1000 }{3600}) \ m/s\)
\(speed(v) = 215.5 \ m/s\)
The frequency is:
\(f = \dfrac{v}{\lambda}\)
\(f = \dfrac{215.5 }{668 \times 1000}\)
\(f = 3.226 \times 10^{-4} \ Hz\)
c)
The period:
\(T = \dfrac{1}{f}\)
\(T = \dfrac{1}{3.226 \times 10^{-4}}\)
T = 3099.8 seconds
Select the appropriate shape for the given volume formula.
V = trh
va
V = jwh
V=
Answer: hope this helps
Explanation:
Which statements are inconsistent with Dalton’s atomic theory as it was originally stated? Why?
a. All carbon atoms are identical.
b. An oxygen atom combines with 1.5 hydrogen atoms to form a water molecule.
c. Two oxygen atoms combine with a carbon atom to form a carbon dioxide molecule.
d. The formation of a compound often involves the destruction of one or more atoms.
Statement b and d are inconsistent with Dalton's atomic theory.
Dalton's atomic theory, as originally stated, includes the following postulates:
All matter is made up of tiny, indivisible particles called atoms.
All atoms of a given element are identical in mass and properties.
Compounds are formed when atoms of different elements combine in fixed ratios.
Chemical reactions involve the rearrangement of atoms; no atoms are created, destroyed or changed into atoms of another element.
Statement b contradicts postulate 3 by suggesting that a water molecule is formed from 1.5 hydrogen atoms and 1 oxygen atom. However, in Dalton's theory, atoms combine in whole-number ratios to form compounds.
Statement d contradicts postulate 4 by suggesting that the formation of a compound involves the destruction of one or more atoms. However, in Dalton's theory, atoms are neither created nor destroyed in chemical reactions. Instead, they are rearranged to form new compounds.
Statement a and c are consistent with Dalton's atomic theory as all atoms of a given element are identical in mass and properties and compounds are formed when atoms of different elements combine in fixed ratios.
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Which best describes what happens when light traveling through air enters water at an angle?
It moves along straight lines in air and changes direction when it enters water.
O It moves in a curve in air and moves in straight lines when it enters water.
O It moves along straight lines in air and continues along the same lines when it enters water.
O It moves in a curve in air and continues moving in the same curve when it enters water.
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Answer:
When light traveling through air enters water at an angle, it moves in a curve in air and changes direction when it enters water. This bending of light is known as refraction. The angle at which the light bends depends on the difference in the refractive indices of the two media, which is why the light bends when it enters the denser medium of water.
What do feathers, fur, overcoats, and whale blubber all have in common?
A. They are all good conductors of heat.
B. They all generate heat.
C. They are all electrical conductors.
D. They are all heat insulators.
Answer:
D. They are all heat insulators.
Explanation:
Those things mentioned above are examples of heat insulators. As a heat insulator, it helps to prevent the heat from leaving the body thereby keeping the body warm and risk free.Feathers in birds and overcoat in humans helps to keep the bodies of the wearer safe and warm during the cold season.