An object is placed at the position x1 = 70 cm and a second mass that is 1/6 times as large is placed at x2 = 223 cm. find the location of the center of mass of the system.

Answers

Answer 1

The center of mass of the system is located at 107.5 cm from the reference point.

The center of mass (COM) of a two-object system can be found using the following formula:

COM = (m1x1 + m2x2) / (m1 + m2)

where

m1 and m2 are the masses of the two objects,

x1 and x2 are their respective positions.

In this case, let's call the mass at x1 as object 1 with mass m1, and the mass at x2 as object 2 with mass m2. We are given that m2 = m1/6.

Using the formula, the position of the center of mass is:

COM = (m1x1 + m2x2) / (m1 + m2)

COM = (m1 * 70 cm + (m1/6) * 223 cm) / (m1 + (m1/6))

COM = (70 + 37.1667) / (1 + 1/6)

COM = 107.5 cm

Therefore, the center of mass of the system is located at 107.5 cm from the reference point.

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Related Questions

There may be installations where grounded conductors of different systems are installed within the same raceway, cable, or box. In these cases, it's imperative that the system-grounded conductors remain

A. separated.
B. disconnected.
C. spliced.
D. buried.

Answers

It is imperative that the system-grounded conductors remain buried and is denoted as option D.

What is a Conductor?

This is referred as a substance which allows electricity and heat to flow through it and examples include metals.

These conductors have to be buried so as to prevent the risk of contact and electrocution of individuals thereby making it a safe method.

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Provided following are four different ranges of stellar masses. Rank the stellar mass ranges based on how many stars in each range you would expect to be born in a star cluster, from highest number to lowest number.

Answers

Highest to lowest number:

-less than 1 solar mass

-between 1 and 10 solar masses

-between 10 and 30 solar masses

-between 30 and 60 solar masses

What is Stellar masses ?

Stellar mass is a phrase that is used by astronomers to describe the mass of a star.

It is usually enumerated in terms of the Sun's mass as a proportion of a solar mass ( M ☉). Hence, the bright star Sirius has around 2.02 M ☉.

Stellar masses are not fixed, although they change for single stars only on long periods.

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A standard rum and cola will be absorbed faster than a 5-ounce glass of wine because.

Answers

Absorption of Rum and cola:

A standard rum and cola absorb faster than a 5-ounce glass of wine because carbonation causes the pyloric valve to relax.

What are Rum and Cola:

The second-most common alcoholic beverage in the world is rum and coke, which is very well-liked. Its widespread availability, low cost, and ease of preparation are what contribute to its appeal. It is easy to prepare and challenging to destroy because it can be produced with any quantity or type of rum. Due to the pyloric valve's relaxation caused by carbonation, alcohol like rum and coke is often absorbed more quickly than 5 ounces of wine.Absorption is accelerated by carbonation. Alcohol will enter the bloodstream more quickly when combined with carbonated drinks like Coca-Cola or tonic water.

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Read the following questions and answer them using complete sentences. Be sure to fully explain your answers.

What can be the challenges of wave power? Is it a reliable source of energy?

Answers

Wave power can be regarded as a reliable source of energy because the ocean currents are always moving.

What can be the challenges of wave power?

Wave power is a device that can be used to convert the mechanical energy of the ocean waves into electrical energy based on the principle of conservation of energy.

The major challenges that face the use of wave power in electricity generation is the unreliability of the waves which leads to uncertainty in the quantity of power generated Also, the wave direction and direction of ocean currents all limit the amount of power generated by this method. However, in spite of challenges, it can be regarded as a reliable source of energy because the ocean currents are always moving.

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A cylindrical region of radius R contains a uniform magnetic field, parallel to its axis, with magnitude that is changing linearly with time. If r is the radial distance from the cylinder axis, the magnitude of the induced electric field inside the cylindrical region is proportional to:

Answers

The induced electric field inside the cylindrical region is directly proportional to r

What is the electric field?

An electric field is the physical field that surrounds electrically charged particles and exerts a force on all other charged particles in the field.

When a loop of wire is placed in a time-varying magnetic field, an induced electric field arises. This induced electric field allows the flow of current in the loop. There is no potential associated with this induced electric field.

Here. a magnetic field with magnitude linearly varies with time.

Radial distance  = r

Area of this region, A = π*r^2

Let the induced electric field be E.

Magnetic flux:

∅(B) = B*A

Let the magnetic field be kt,

where k is some constant and t is time.

(B) = kt * (πr^2)

Using Maxwell's equation of electromagnetism,

[tex]\int\limits^a_b {E} \, dr = -\frac{d∅}{dt}[/tex]

[tex]E* 2\pi r = - \frac{d}{dr}(\pi k tr^{2} )[/tex]

[tex]E*2\pi r = -\pi kr^{2}[/tex]

[tex]E = - \frac{kr}{2}[/tex]

Hence

E ∝ r

The induced electric field is directly proportional to r

So, option 2 is correct.

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Earth orbits the sun at an average circular radius of about 149.60 million kilometers every 365.26 Earth days.

a) Determine the Earth’s average orbital speed expressed in kilometers per hours.
b) Based on the information given in this question, calculate the approximate mass of the Sun.

Answers

The Earth’s average orbital speed is 107226 Km/hr and the mass of the sun is 2.6 x [tex]10^{24}[/tex]  Kg

What is angular speed ?

Angular speed is the rate of change of the angle turned through by the body with time taken. That is W = Ф / T

And the relationship between linear speed and angular speed is V = wr

Where

V = Linear speedW = Angular speedr = Radius

Given that the earth orbits the sun at an average circular radius of about 149.60 million kilometers every 365.26 Earth days.

a) To determine the Earth’s average orbital speed, we will make use of the below formula to calculate angular speed

W = 2[tex]\pi[/tex]/T

W = (2 x 3.143) / (365.26 x 24)

W = 6.283 / 876624

W = 7.2 x [tex]10^{-4}[/tex] Rad/hr

The Earth’s average orbital speed V = Wr

V = 7.2 x  [tex]10^{-4}[/tex] x 149.6 x [tex]10^{6}[/tex]

V = 107225.5 Km/hr

b) Based on the information given in this question, to calculate the approximate mass of the Sun, we will use Kepler's 3rd law

M = (4[tex]\pi ^{2}[/tex][tex]r^{3}[/tex]) / G[tex]T^{2}[/tex]

M = (4 x 9.8696 x 3.35 x [tex]10^{24}[/tex] ) / (6.67 x [tex]10^{-11}[/tex]  x 7.68 x [tex]10^{11}[/tex])

M = 1.32 x [tex]10^{26}[/tex] / 51.226

M = 2.58 x [tex]10^{24}[/tex] Kg

Therefore, the Earth’s average orbital speed is 107226Km/hr approximately and the mass of the sun is 2.6 x [tex]10^{24}[/tex] Kg

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A formula for the normal systolic blood pressure for a man age a , measured in mmhg, is given as p=0. 006a2−0. 02a 120. Find the age of a man whose normal blood pressure measures 123 mmhg

Answers

The age of a man whose normal blood pressure measures 123 mm of hg

9 years

What is Quadratic equation ?

A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic equation is y = a[tex]x^{2}[/tex] + bx + c, where a, b, and c are numbers and a cannot be 0

P(A) = 0.006 [tex]a^{2}[/tex] - 0.02a + 120

123 = 0.006- 0.02a + 120

0=0.006 [tex]a^{2}[/tex] - 0.02a - 3

you can use the quadratic equation  formula to solve for the man's age.

A = (-b ± ([tex]\sqrt{b^{2} - 4*a*c}[/tex])  ) / (2a)

A = (0.02 ±  [tex]\sqrt{(-0.02)^{2} - 4*0.006*(-3)}[/tex]/ (2*0.006)

A = (0.02 ± [tex]\sqrt{0.0076}[/tex]) / 0.012

A = 9 , -5.67

Age of the man will be 9 years

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A 78 N block is supported by a spring whose constant is 12 N/m. Calculate the elongation of the spring under this load.
Group of answer choices

a. 7.2 m

b. 6.5 m

c. 8.2 m

d 1.5 m

Answers

The elongation of the spring under this load is 6.5 m (Option B)

Data obtained from the questionForce (F) = 78 NSpring constant (K) = 12 N/mElongation (e) = ?

How to determine the elongation of the spring

The elongation of the spring can be obtained as illustrated below:

F = Ke

Divide both sides by K

e = F / K

e = 78 / 12

e = 6.5 m

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Supposing the half-life of element x to be 1 year, if you have a 100 gram sample of x, how much of element x would be left after 4 years? (do not use significant digits in answering this question.)
75 g
50 g
25 g
6.25 g

Answers

6.25 gram of element x would be left after 4 years.

What's half life of an element?Half - life is the time period of decay of an element to half of its initial number of nuclei.After n no. of half lives, no. of nuclei left in the sample is initial number of nuclei / 2^n

What's the amount of 100 gm of element x left after 4 half lives ?

Leftover amount of the element x = 100/2^4

= 100/16 = 6.25 gram

Thus, we can conclude that 6.25 gram of element x would be left after 4 years.

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The large, roughly circular, dark, and somewhat younger regions on the moon are called?

Answers

In its overall composition, the Moon roughly resembles: the Earth's crust and mantle. The large, roughly circular, dark, and somewhat younger regions on the Moon are called. maria( hope that helps)

The large, roughly circular, dark, and somewhat younger regions on the moon are called Maria.

What is Maria?

Lunar Maria are large, dark, basaltic plains on Earth's Moon. It was created by an ancient asteroid impacting the Moon on the far side and triggering some volcanic activity on the opposite side.

These are vast basins containing lava flows that are marked by craters, ridges, faults and straight and immersed valleys called rills. They are waterless. There are about 20 major areas of this type. Most of which include the largest located on the side of the Moon that always faces Earth.

These maria were the result of the melting and eruption of basaltic lava on the lunar surface 3.8 to 2.8 billion years ago. This type of lava was highly fluid under the Moon's weak gravitational field and spread over vast distances.

Thus, the large, roughly circular, dark, and somewhat younger regions on the moon are called Maria.

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compare and contrast the medical understanding of death (that you have read about and learned about in this chapter) and the popular, typical understanding of death. this is chapter 11 for forensics

Answers

The medical understanding of death is related to the scientific approach, and the popular understanding is related to the inclusive spiritual and cultural approaches.

What is death for science?

Death occurs when an individual's cardiorespiratory and brain functions cease due to some factor, thus ending his life.

Popular understanding, on the other hand, is aligned with scientific knowledge, but it is also encompassing cultural and religious teachings, which define topics not proven by science, such as life after death for example.

Therefore, death is a delicate topic for society, and spirituality is the basis found for greater emotional comfort in individuals who suffer significant losses of loved ones.

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what is Doppler effect

Answers

Doppler effect is the shift in frequency as the object gets near an object/person or far away from an object or person.

When the frequency of a police car is heard from far away, the frequency is low and long wave lengthsWhen the frequency of a police car is heard from near, the frequency is high and short-wave lengths

Hope it helps!

The basic principle behind the simple DC motor is that wires that carry experience when placed in regions of space that have

Answers

The principle of DC motor is based on Fleming’s left hand rule. i.e., the current carrying wires experiences a force when placed in region of space that have magnetic field.

According to Fleming’s left hand rule Stretch the thumb, forefinger, and middle finger of the left hand until they are parallel to one another. If the thumb is pointing in the direction of motion, or the force acting on the conductor, and the middle finger is pointing in the direction of the magnetic field, the forefinger is pointing in the direction of current flow.

An armature revolves inside a magnetic field of a DC motor. A DC motor's fundamental operating concept is based on the idea that whenever a current-carrying conductor is positioned inside a magnetic field, that conductor will experience mechanical force.

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At a certain time a particle had a speed of 80 m/s in the positive x direction, and 9.8 s later its speed was 20 m/s in the opposite direction. What was the average acceleration of the particle during this 9.8 s interval

Answers

The average acceleration of the particle in the time interval of 9.8 s is 10.204 m/s² opposite to the direction of motion.

Given:

Speed of particle, v₁ = 80 m/s (in positive x-direction)

Speed of particle, v₂ = -20 m/s (in opposite direction)

Time interval, Δt = 9.8 s

Calculation:

We know that, the average acceleration is given as:

a_avg = (v₂ - v₁)/ Δt     - ( 1 )

Applying values in above equation we get:

a_avg = (v₂ - v₁)/ Δt

           = (-20 m/s - 80 m/s) / (9.8 s)

           = -10.204 m/s²

Therefore the average acceleration of the particle in the time interval Δt is 10.204 m/s² opposite to the direction of motion.

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In a series lrc circuit, the frequency at which the circuit is at resonance is f0. If you double the resistance, the inductance, the capacitance, and the voltage amplitude of the ac source, what is the new resonance frequency?.

Answers

When you double capacitance and inductance, the new resonance frequency becomes halved.

What is Resonance frequency?

It is the natural frequency of an object where it tends to vibrate at a higher amplitude.

The resonance frequency of the LC series circuit is the frequency at which the capacity reactance is equal to inductive reactance.

The formula resonance frequency:

[tex]f_{0} = \frac{1}{2\pi \sqrt{LC} }[/tex]

where;

f0 is the resonance frequency

L is the inductance

C is the capacitance

here, if the capacitance and inductance are doubled, the new resonance frequency becomes;

[tex]f = \frac{1}{2\pi \sqrt{2L2C} }\\f = \frac{1}{2\pi \sqrt{4LC} }\\f = \frac{1}{2*2\pi \sqrt{LC} }\\f=\frac{1}{2} \frac{1}{2\pi \sqrt{LC} }\\f = \frac{1}{2} f_{0}[/tex]

Thus from the above equation for frequency,

When you double capacitance and inductance, the new resonance frequency becomes f(0) / 2.

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Astronomers and physicists now believe they know what is happening to the missing neutrinos from the Sun (the neutrinos that our theories say should be emerging from the Sun, but our experiments in that underground mine could not find). These neutrinos are:

Answers

The missing neutrinos from the sun had merely tranformed into muon and tau neutrinos  escaped detection.Hardly interacting with other matter,neutrinos comes in three different types electron,muon,and tau.

Hence option (b) turning into different type of neutrino in a neutrino oscillation is correct

Disclaimer:The question given on the portal is incomplete .Here is the complete question .

Question :Astronomers and physicists now believe they know what is happening to the missing neutrinos from the Sun (the neutrinos that our theories say should be emerging from the Sun, but our experiments in that underground mine could not find). These neutrinos are:

a)not being produced by the Sun because our star's nuclear fusion period has ended

b)turning into a different type of neutrino in a neutrino oscillation

c)being converted to antimatter in the core of the Sun and being destroyed as they hit matter

d)changing course before they reach the Earth as they hit other neutrinos in space

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Red laser light passes through a single slit to form a diffraction pattern. If the width of the slit is increased by a factor of two, what happens to the width of the central maximum?

Answers

If the width of the slit is increased by a factor of two , then the central maxima will get decreased by half.

since , width of the central maxima is inversely proportional to the width of the slit . Which implies if width of the slit get increased then width of the central maxima will get decreased and vice versa.

central maxima = (2 * wavelength * D) / width of the slit

                          = (2 * lambda * D) / d

if initially width of the slit = d

then, after increasing it by a factor of two it become =  2d

central maxima  =  (2 * lambda * D) / 2d

                           = (lambda * D) / d

If the width of the slit is increased by a factor of two , then the central maxima will get decreased by half.

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Martha is late for class, so she races her 75 kg body up a 4.0 meter flight of stairs in only 2.3 seconds. What is Martha’s power?
Group of answer choices

a. 1,300 W

b. 6,800 W

c. 130 W

d. 680 W

Answers

Martha's power is 1,300 W and is denoted as option A.

What is Power?

This is defined as the amount of energy used or transferred per unit time and the S.I unit is Watts.

Power = Work/ time

Work = force × distance

          = F = ma = 75kg× 10m/s² = 750N

    Work = 750N × 4m = 3000J

Power = work/time = 3000J/ 2.3s ≈ 1300W

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The specification limits are 49 /- 3. Assume that the data is normally distributed! estimate process capability ratio’s (cp, cpk, pp, ppk). Is the process capable?

Answers

Estimate technique capability ratio (cp, cpk, pp, PPK) is Cp = 1.33 or greater. & Cpk price ≥ 1.33.

Cp, Cpk, Pp, and Ppk are all parameters (indices) that can help us to apprehend how our technique is working relative to the specs, or in different words, they degree how near our system is jogging to its specification limits. For necessities, we measure the process specs.

The Cp index is a fundamental indication of process capability. The Cp value is calculated using the specification limits and the same old deviation of the method. most agencies require that the method Cp = 1.33 or greater. Cp and Cpk, generally called technique functionality indices, are used to outline the ability of a technique to produce a product that meets necessities.

For stable tactics and normally distributed statistics, a Cpk price ≥ 1.33 should be executed. • For chronically unstable methods with output assembly specification and a predictable sample, a Ppk fee ≥ 1. sixty-seven have to be completed.”

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A mass m is attached to an ideal massless spring. When this system is set in motion with amplitude a, it has a period t. What is the period if the amplitude of the motion is increased to 2a?.

Answers

Time period is T if increasing the amplitude to 2A

What is Time period?

The length of time during which an activity occurs or a condition remains.

The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.

Formula of Time period, T:

[tex]T = 2\pi \sqrt{\frac{M}{k} }[/tex]

Where,

k is the spring constant

mass of system = M

Amplitude = A

Time period = T  

Here,

The amplitude is doubled = 2A

Since from the formula we can say that, The Time period is not dependent on amplitude.

Increasing the amplitude implies increase in the restoring force. An increase in the restoring force means the mass is now accelerated to cover more distance in the same period.

So the restoring force cancels the effect of the increase in amplitude.

Hence,

Time period is T if increasing the amplitude to 2A

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How did the magma get from the volcanic center to the locations where the laccoliths formed?

Answers

Laccolith magma (molten rock) rising through the Earth's crust begins to spread out horizontally, prying aside the host rock strata.

Laccoliths are not unusual in the Pine Valley Mountain desert location close to St. George, Utah. The stress of the magma is high enough that the overlying strata are compelled upward, giving the laccolith its dome-like form.

A laccolith is a frame of intrusive rock with a dome-shaped top surface and a degree base, fed through a conduit from under. A laccolith bureaucracy when magma (molten rock) rising thru the Earth's crust starts to unfold out horizontally, prying aside the host rock strata. The stress of the magma is excessive enough that the overlying strata are pressured upward, giving the laccolith its dome-like form.

A laccolith is a type of igneous intrusion, shaped when magma forces its manner upwards via the Earth's crust however cools and solidifies before attaining the surface. Laccoliths are outstanding from other igneous intrusions by way of their dome-shaped upper floor and level base.

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An object moving with 108 km/h moves 400 m in 8 seconds. find the velocity attained by the object.

Answers

Answer:50ms-1

Explanation:use the formula v=d/t

in order to find the velocity,devide the distance with time taken.

since distance is 400 meters devide it with seconds whiuch gives us 50.

The diagram shows a device that uses radio waves. Two radio towers. The towers are equal distance apart with an arrow between them. The left tower is labeled X. The right tower is labeled Y. The arrow is pointing from Tower X to Tower Y. What is the role of the part in the diagram labeled Y

Answers

capture, amplify, and demodulate waves

Question is incomplete and image is not attached in  the question. The required image is attached below, so the complete question is:

What is the role of the part in the diagram labeled Y?

modulate, amplify, and send out waves

capture, amplify, and demodulate waves

change the amplitude and frequency of waves

change the pulse and phase of waves.

What are Radio wave?

An example of electromagnetic radiation is radio waves. The wavelength of a radio wave is substantially greater than that of visible light. Radio waves are widely used by people for communication. Both rectangular and circular antennas are used by this radio tower to send and receive radio frequency energy.

The radio receiver, also known as component Y in the figure, is what captures, amplifies, and demodulates radio waves.

The radio receiver uses an antenna to separate the necessary radio frequency signals and consists of an amplifier to boost the strength of the receiving signal. The information from the modulated wave is ultimately recovered by demodulators found in receivers.

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A power supply is connected to a 59 Ohm resistor and a 53 Ohm resistor in series. The total current is found to be 0.15 A. What is the voltage drop across the 53 Ohm resistor? Round your answer to 2 decimal places.

Answer:

Answers

the answer is 47265.dug

Explanation:

im bot sure

the work done by the brakes during braking is equal to

Answers

Answer:

The amount of pressure delivered to them

Explanation:

The holding coil on a hydromatic propeller feathering button switch holds a solenoid relay closed that applies power to the propeller?

Answers

An electric propeller is powered by a solenoid relay that is kept closed by the holding coil on a hydromatic propeller feathering button switch. It is a kind of feathering pump motor.

What does it mean to feather an engine?

If an engine needs to be turned off, the feather is used. The blades are rotated during feathering such that the extent to which a leader is virtually pointing in the flying direction. The propeller's aerodynamic forces cause a low drag state in this position. It is composed of a solenoid relay.

What is meant by solenoid relay?

A form of relay designed to wirelessly change a stronger current is called a solenoid. A coil is utilized to create an electromagnetic environment when power is transferred through it, similarly to the tiny motorized cube relays, that efficiently open or shut the circuit.

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Using the Left Hand Rule, if current points up and
the field is toward you, which way does the motion
point?

A. Left
B. Down
c. Up
D. Right

Answers

Using the left hand rule, if current points up and the field is toward you,  the  motion points up.

What is the left hand rule?

The left hand rule states that if the thumb, the fore finger and the middle finger are held mutually perpendicular to each other, the thumb points in the direction motion, the middle finger points in the direction of current while the fore finger points in the direction of the magnetic field.

Thus using the left hand rule, if current points up and the field is toward you,  the  motion points up.

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A conducting loop in the form of a circle is placed perpendicular to a magnetic field of 0. 50 t. If the area of the loop decreases at a rate of 3. 0 × 10-3 m2/s, what is the induced emf in the loop?

Answers

The induced emf in the loop is  -1500 μ V or  - 0.0015 V  .

According to the question

A conducting loop in the form of a circle is placed perpendicular to a magnetic field of 0. 50 t.  

i.e

Magnetic field (B) = 0. 50 T

Area of circle or loop = [tex]\pi r^{2}[/tex]  

Now,

The area of the loop decreases at a rate of 3. 0 × 10⁻³ m/s

i.e

dA = 3. 0 × 10⁻³ meter²

dt = 1 sec  

As per the formula of Induced e.m.f in the loop

emf is dependent on number of turns of coil, shape of the coil, strength of magnet and speed with which magnet is moved. Emf is independent of resistivity of wire of the coil.

[tex]e=-B*\frac{dA}{dt}[/tex]

where A is the area of the loop.

Now ,

Substituting the values in the formula

[tex]e=-B*\frac{dA}{dt}[/tex]

[tex]e= - 0.50 *\frac{ 3 * 10^{-3}}{1}[/tex]    

e = - 0.0015 V

OR

e = -1500 * 10⁻⁶ V

e =  -1500 μ V

Negative just signifies emf will such be induced that current induced will oppose change in magnetic field though it

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Which orbitals do not have a node at the nucleus?

Answers

Answer:

The 1st orbital has no nodes.

Explanation:

A 2s orbital has 1 node and a 1s orbital has no nodes, therefore it is higher in energy than a1s orbital. Also, a 2s orbital is higher in energy because the radius is larger than for a 1s orbital and, therefore, the probability of finding an electron farther from the nucleus is greater in a 2s orbital.

The number of nodes is equal to (n-1) therefore, 1s-orbitals do not have any node at the nucleus.  

What is a node?

A node is a point where the probability of finding an electron is zero. For a given orbital, the two kinds of nodes are radial nodes and angular nodes.

A radial node is a spherical plane where the probability of finding an electron in an orbital is zero. The number of radial nodes increases with the principal quantum number (n) as it is given by (n- l - 1) and is also known as a nodal region.

An angular node is a plane that passes through the nucleus. The angular node is given by the azimuthal quantum number 'l' and is also known as a nodal plane.

The total number of nodes in orbitals is equal to n - 1. Therefore, the nodes in 1s -orbital (1-1) = 0.

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What type of repetitions are completed with an intentionally reduced range of motion? Partial repetitions Full repetitions Loaded repetitions Bodyweight repetitions

Answers

The type of repetitions that are completed with an intentionally reduced range of motion is called Partial repetitions. That is option A.

What are repetitions in exercise?

Repetitions in exercise is defined as a complete exercise movement done during a workout procedure.

The different types of repetitions include the following:

Partial repetitions

Full repetitions

Loaded repetitions; and

Bodyweight repetitions.

Partial repetitions are those types of repetitions that are carried out while removing some part of the range of motion in the exercise.

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