The range of potential energies of the wire-field system for different orientations of the circle are -
θ U
0° 375 π x [tex]10^{-7}[/tex]
90° 0
180° - 375 π x [tex]10^{-7}[/tex]
We have current carrying wire in a form of a circle placed in a uniform magnetic field.
We have to the range of potential energies of the wire-field system for different orientations of the circle.
What is the formula to calculate the Magnetic Potential Energy?The formula to calculate the magnetic potential energy is -
U = M.B = MB cos [tex]$\theta[/tex]
where -
M is the Dipole Moment.
B is the Magnetic Field Intensity.
According to the question, we have -
U = M.B = MB cos [tex]$\theta[/tex]
We can write M = IA (I is current and A is cross sectional Area)
U = IAB cos [tex]$\theta[/tex]
U = Iπ[tex]r^{2}[/tex]B cos [tex]$\theta[/tex]
For [tex]$\theta[/tex] = 0° →
U(Max) = MB cos(0) = MB = Iπ[tex]r^{2}[/tex]B = 5 × π × [tex]( 0.05 ) ^{2}[/tex] × 3 × [tex]10^{-3}[/tex] =
375 π x [tex]10^{-7}[/tex].
For [tex]$\theta[/tex] = 90° →
U = MB cos (90) = 0
For [tex]$\theta[/tex] = 180° →
U(Min) = MB cos(0) = - MB = - Iπ[tex]r^{2}[/tex]B = - 5 × π × [tex]( 0.05 ) ^{2}[/tex] × 3 × [tex]10^{-3}[/tex] =
- 375 π x [tex]10^{-7}[/tex].
Hence, the range of potential energies of the wire-field system for different orientations of the circle are -
θ U
0° 375 π x [tex]10^{-7}[/tex]
90° 0
180° - 375 π x [tex]10^{-7}[/tex]
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Calculate the average acceleration for a car moving linearly and braking to a stop from 30 m/s in 5 seconds.
The average acceleration of the car moving linearly is 6 m/s².
What is acceleration?
Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity.
a = Δv/Δt
where;
Δv is change in velocityΔt is change in time of motionThe average acceleration of the car moving linearly is calculated as follows;
a = 30 m/s / 5 s
a = 6 m/s²
Thus, the average acceleration of the car moving linearly is 6 m/s².
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A toy doll and a toy robot are standing on a frictionless surface facing each other. The doll has a mass of 0. 20 kg, and the robot has a mass of 0. 30 kg. The robot pushes on the doll with a force of 0. 30 n. The magnitude of the acceleration of the robot is.
By the force, the acceleration of robot is 1.5 m / s².
We need to know about force to solve this problem. Force will proportional to mass and acceleration. It can be written as
F = m . a
where F is force, m is mass and a is acceleration
From the question above, we know that
m = 0.2 kg
F = 0.3 N
By substituting the parameters, we know that
F = m . a
0.3 = 0.2 . a
a = 0.3 / 0.2
a = 3/2
a = 1.5 m / s²
Hence, the acceleration of robot is 1.5 m / s².
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How does hydropower generate electricity?
Answer:
the water spins the wheel wiche gives energy.
Explanation:
Explain how skeletal muscles work in pairs.
plzzzz answer asap !!
Answer:
it holds the bone and helps to move
I don't know if this is right
what make molecules
Answer:
Molecules are made up of atoms that are held together by chemical bonds. These bonds form as a result of the sharing or exchange of electrons among atoms. The atoms of certain elements readily bond with other atoms to form molecules. ... The element helium is a one-atom molecule.
Answer:
Molecules are formed when two or more atoms of an element chemically join together.Explanation:
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How long is between each phase of the moon?
Answer:
The Moon actually takes 27.3 days to complete a single orbit around the earth. The Moon takes 29.5 days to complete one phase cycle.
Hope it helps!
A solid block of volume 6.0m^3 is placed under water whose density is 1000 kgm^3 (g=10Nkg^1)
a) what volume of water does the block displace?
b) What mass of water does the block displace?
c) what is the weight of the displaced Water?
d) How large is the upthrust which acts on the block ?
e) What will happen if the block is made ofwood of density 700kgm^3?
f) What will happen if the block is made of rock of density 3000kgm^3?
what is the mass of a vehicle that has 50,000 N and 25M/S/S
Answer:
F = 1250000 N
Explanation:
If you have 50,000 S, by 25 M. It would be calculated to 1,250,000 N.
A can of corn heas a diameter of 6.6 centimeters and a height of 9.9 centimeters. How much corn can tue can hold?
Answer:
338.7cm
Explanation:
The can of corn would be in the shape of a cylinder. Since we are looking at capacity, we will want to find the volume.
V=abase×h
V=πr2×h
V=π(d2)2×h
V=π(6.62)2×9.9
V=338.7cm3
Hopefully this helps!
Answer:
338.7 cm³
Explanation:
For this question you use the volume formula of a cylinder πr²h.
Radius is 1/2 the diameter.
Simply input the variables into the formula.
π(3.3)²×9.9 = 107.811π or approximately 338.7 cm³
Which other element is most likely to be a nonreactive gas?
A. Argon (AI)
B. Nitrogen (N)
C. Hydrogen (H)
D. Boron (B)
Answer:
A. Argon
Explanation:
It is a noble gas, a group which is not reactive.
a diver initially moving horizontally with speed v dives off the edge of a vertical cliff and lands in the water a distance d from the base of the cliff. how far from the base of the cliff would the diver have landed if the diver initially had been moving horizontally with speed 2v?
The time(t) in the air for a horizontal projectile is dependent on the distance travelled(d) and its initial velocity(v).
i.e. t = d/v
Since the time for the projectile in the air is same at both v and 2v, the distance at speed 2v will be double than that of the distance at speed v.
An object that is in motion in the air with no force other than gravity, then the path travelled by the object is called as projectile.
The driver must have landed to the distance 2d from the base of the cliff, when he dives with the speed 2v.
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Suppose you are observing a binary star with a telescope and are having difficulty resolving the two stars. You decide to use a colored filter to maximize the resolution. (A filter of a given color transmits only that color of light.) What color filter should you choose? (a) blue (b) green (c) yellow (d) red
The color filter that a person need to choose is option (a) blue.
Why choose the blue color?The reduction of the wavelength of the light is one that tends to make the aperture to be bigger if it is said to be relative to the light wavelength, by rising the resolving power. So, one need to choose a blue filter.
The Blue light filter is one that can act by lowering the amount of blue light that is shown on the screen of telescope device.
note that the blue light can tends to suppress the creation of melatonin thus making it to be filtering it out.
Therefore, based on the above, The color filter that a person need to choose is option (a) blue.
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Question 4 (1 point)
Select all of the BENEFITS of a SERIES circuit.
It uses more wire than a parallel circuit.
It is simple and cost effective to build.
The bulbs will stay on when one bulb breaks or burns out.
You will always know when there is a break in the circuit.
Answer:
D and C
Explanation:
C. The bulbs will stay on when one bulb breaks or burns out.
D. You will always know when there is a break in the circuit.
BENEFITS of a SERIES circuit:
Easy to design and build the circuit. If a component breaks, the current flow stops. It acts as a current regulator. The cost to build a Series Circuit is less compared to Parallel Circuit.Cells are connected in series give a greater resultant voltage than individual cells. Voltage increases if the number of cells increases. Series circuits do not overheat easily.The bulbs will stay on when one bulb breaks or burns out. You will always know when there is a break in the circuit.Therefore, option C and D are correct.
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Acceleration is measured in what
Answer:
meters per second squared
m/s^2
Explanation:
Hope this helps! :3
plz mark as brainliest!
Answer:
Acceleration is measured in m/s2 (meters per second squared)
Explanation:
a Model Changing classes, you walk 20.0 m down a
hall, turn left, and then walk 10.0 m down another hall. Define a
coordinate system and sketch the displacement vector. Also, sketch the
displacement components, and then determine the vector's magnitude.
Answer:
Explanation:
potato :D
A log with a mass of 90.0 kg falls off a cliff with a height of 31.2 m cliff. Assume g = 9.8 ms-2 What energy transformation occurs?
Answer:
kinetic energy
Explanation:
WHAT IS THE interelationship between environment and mineral
The interrelationship between the environment and minerals can be that when we do mineral extraction we may harm the environment.
Mineral extraction is generally known as mining. mining can be hazardous as well as beneficial to us. Mining can do damage to the natural environment. Mineral extraction can also reduce the underground water table. Mining techniques often need a larger and more expansive piece of land. Deforestation is a byproduct of mining, and the construction of mining regions necessitates the construction of roads and housing for mine personnel, and vegetation farms are frequently eliminated. The rising human population is wreaking havoc on the environment by spewing gas and dust into the atmosphere.Minerals can harm the land and water and permanently damage the natural landscape. But mining can have some positive impact on society, regions, etc. So, the interrelationship between the environment and minerals is deteriorating as one’s extraction will harm another.Know more about the impact of the mining process on the environment in detail from the given below link:
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Carlo and Sara push on a desk in the same direction. Carlo
pushes with a force of 50 N, and Sara pushes with a force of
40 N. What is the total resultant force acting on the desk?
Whats the answer to this question?
Answer:
90N
Explanation:
The total resultant force acting on the desk being pushed by Sara and Carlo is 90N
A resultant force is a singular force that will act the same effect as the forces acting on a body.
When two or more forces acts on a body in the same direction, their resultant is the sum of the individual forces. If it is in the opposite direction, the differences is the resultant force. The body will move in the direction of the applied force with a higher magnitudeSo;
Resultant force = Force applied by Sara + Force applied by Carlo
Resultant force = 50N + 40N = 90N
How much force is required to accelerate an 8kg mass at 5m/s^2 if there is 14N of friction
Answer:
Explanation:
How much force is required to accelerate an 8kg mass at 5m/s^2 if there is 14N of friction.
Answer:
54 N
Explanation:
By Newton's second law the force acting on an object is related to its mass and acceleration
F = m x a where
where m = mass of the object and a is the acceleration
Here m = 8 kg and a = 5m/s² so
F = 8 x 5 =40 Newtons (measure of force)
But there is an opposite force due to friction of 14 Newtons
So net force required to overcome this friction and accelerate the object of mass 8kg to 5m/s² = 40 + 14 = 54 Newtons
describe Newton's law of gravitation and its application?
Answer:
Newton's law of gravitation states that every object in this universe attracts every other object with a force called gravity,
when the distance between the two object is increased the gravitational force decreases by its square,
and when the mass an object increases the gravitational force also increases,
therefore, gravitational force is directly proportional to the mass of the two objects and is square inversely proportional to distance between them.
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The pattern shown in the photo is the result of a time-lapsr video of a clear night sky
Which mostly likely causes the apparent motion of the stars seen in this photo?
A. Earth's revolution around the Sun
B. The revolution of the Stars around the Sun
C. Earth's rotation on its axis
D. The revolution of the stars
around Earth
Answer:
C.
Explanation:
Answer:
C
Explanation:
The earths rotation on its axis
A rocket is in a roughly circular orbit near the surface of the earth, moving at around 5 miles per second. Suppose that it is desired to lower it to a new circular orbit, sliightly closer to the surface. The rocket flips over and fires its main rocket engine in a short burst to slow its speed to 4. 96 miles per second. What must it do next?.
The rocket slows its speed again a little when the distance from the earth stops decreasing.
While the rocket is in a roughly circular orbit near the surface of the earth and is moving at around 5 miles per second. To decrease it to a new circular orbit, slightly near to the surface. The rocket reverse and shoots its main rocket engine in a short burst to decrease its speed to 4. 96 miles per second. The response of the rocket is based on escape velocity which is referred to as the minimum speed required to reach an infinite distance for a free object to escape from the gravitational influence of an immediate body.
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A company claims to have built a perpetual motion device, which stays in motion without any energy input. Which statement best
summarizes the company's claim.
Answer:
It's Compleatly False
Explanation:
It would violate the first law of thermodynamics which states that energy cannot be created or destroyed, and these laws are not optional. Furthermore, A perpetual motion machine would have to produce work without energy input. The Second Law of Thermodynamics states that that an isolated system will move toward a state of disorder.
A boat travels 12. 0 m while it reduces its velocity from 9. 5 m/s to 5. 5 m/s. What is the magnitude of the boat’s acceleration while it travels the 12. 0 m?.
The calculated acceleration is -2.5 m/s²
In accordance with the data in the question, we have:
Initial speed (u) is 9.5 m/s.
Final speed (v): 5.5 m/s
(s) = distance traveled (12 m).
Calculate the boat's acceleration, please. The third equation of motion yields v²=u²+ 2as, where v stands for final velocity.
u stands for beginning speed.
A stands for acceleration.
s stands for distance.
(5.5)²-(9.5)²= 2*a*12
30.25-90.25=24*a
-60=24*a
a=-2.5 m/s⁻²
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Neha and Suhani are playing with two identical pendulums. They leave the bob from a certain position and wait for it to return to the same point. The one who waits for a shorter time wins. Neha leaves her pendulum from point L and Suhani leaves her pendulum from point P (see figure). What happens?
a. Neha wins as her bob comes back faster.
b. Suhani wins as her bob comes back faster.
c. No one wins as the bobs come back at the same time.
d. We cannot say any of the above for sure.
The one who waits for a shorter time wins. Neha leaves her pendulum from point L and Suhani leaves her pendulum from point P.Neha wins as her bob comes back faster. Therefore, option A is correct.
What is pendulum ?A weight suspended from a pivot such that it can freely swing is called a pendulum. Gravity's restoring force will cause a pendulum to accelerate back toward its equilibrium position if it is sideways moved from its resting, equilibrium position.
An object that is suspended from a fixed location by a string or rod and can move freely due to gravity and momentum. frequently used to control electronics like clocks. Simple pendulum: A back-and-forth swinging pendulum. A circularly swinging pendulum is referred to as a spherical pendulum.
The force of gravity acting on the swing causes it to move freely back and forth after being raised and released. The swing keeps returning.
Thus, option A is correct.
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The second create the bottom of the table is called the
Answer:i don't understand
Explanation:
What is the fault-current circuit breaker? Describe its function.
Answer:
A circuit breaker is a switching mechanism that interrupts the current that is irregular or fault. It is a mechanical system that interferes with high magnitude (fault) current flow and also performs a transfer operation. Hope this helps :)
Explanation:
Answer:
A circuit breaker is an electrical switch designed to protect an electrical circuit from damage caused by an overcurrent or short circuit.
Explanation:
Its basic function is to interrupt current flow after protective relays detect a fault.
An alien spaceship traveling at 0.600 c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.800 c relative to the mother ship. As measured on the Earth, the spaceship is 0.200 ly from the Earth when the landing craft is launched.(c) What travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship?
The travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship is 4.5*10^6m/s.
To find the answer, we have to know about the Lorentz transformation.
What travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship?It is given that, an alien spaceship traveling at 0.600 c toward the Earth, in the same direction the landing craft travels with a speed of 0.800 c relative to the mother ship. We have to find the time travel for the landing craft to reach the Earth as measured by the aliens on the mother ship.
It is given that; the spaceship is 0.200 ly from the Earth when the landing craft is launched.We have the expression for time travelled as,[tex]t=\frac{d}{v}[/tex]
where; d is 0.2 light years, and the value of v will be 0.8c+0.6c
[tex]t=\frac{0.2ly}{0.8c+06c} =\frac{0.2*9.46*10^{15}m}{1.4*3*10^8s} =4.5*10^6m/s[/tex]
Thus, we can conclude that, the travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship is 4.5*10^6m/s.
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Two children are bouncing small rubber Ball. One child simply drops ball. At the same time, the second child throws a ball downward so that it has an initial speed of 10m/s what is the acceleration of each ball while in motion
The acceleration of each ball while in motion is the acceleration due to gravity, that is 9.81 m/s²
How to illustrate the information?Here one child simply drops a ball. The second child simultaneously launches a ball downward at a 10-meter-per-second initial speed.
In first case acceleration on the ball is the acceleration due to gravity, it should be noted that in the second case also acceleration on the ball is the acceleration due to gravity,
Therefore, only gravitational force is acting on both cases so their acceleration is the acceleration due to gravity. Therefore, the acceleration of each ball while in motion is the acceleration due to gravity, that is 9.81 m/s².
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A car weighing 12,000 N is parked on a 36° slope. The car starts to roll down the hill. What is the acceleration of the car?
Given that,
Weight of a car, W = 12,000 N
It is parked on a 36° slope.
To find,
The acceleration of the car.
Solution,
Let m be the mass of the car. Using formula for weight of an object.
W = mg
[tex]m=\dfrac{12000}{9.8}\\\\=1224.48\ kg[/tex]
Let a be the acceleration of the car. Using second law of motion as follows :
[tex]a=\dfrac{F_{\text{parallel}}}{m}\\\\=\dfrac{F\sin\theta}{m}\\\\=\dfrac{12000\times \sin(36)}{1224.48}\\\\=5.76\ m/s^2[/tex]
So, the acceleration of the car is [tex]5.76\ m/s^2[/tex].