WORTH 50 POINTS!!!

A fellow student would like to know how magnets behave when considering their magnetic
poles. Construct a drawing to show how magnetic attraction is different from repulsion. Be sure
to properly label the magnetic poles. Include magnetic field lines to indicate where the magnetic
field is the strongest and weakest

Answers

Answer 1

The diagram to show behavior of magnetic poles is given.

Magnetic poles can be either north or south. Opposite magnetic poles (i.e., north and south) attract each other, while like magnetic poles (i.e., north and north, or south and south) repel each other. This behavior is due to the alignment of the magnetic fields around the poles.

The strongest part of a magnet's magnetic field is at the poles, while the weakest part is at the sides. Magnetic field lines flow out of the north pole and into the south pole, forming a loop around the magnet. The closer the field lines are to each other, the stronger the magnetic field is in that region.

Overall, this behavior of magnetic poles is a result of the interaction of magnetic fields, and is essential to many technological applications of magnets, such as in electric motors and generators.

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WORTH 50 POINTS!!!A Fellow Student Would Like To Know How Magnets Behave When Considering Their Magneticpoles.

Related Questions

If you pull with a constant force of 400n , how much mechanical work does it take to pull pinball launcher back 0.2meters

Answers

If you pull with a constant force of 400 N for 0.2 meters, then the work done will be equal to 80 J.

What is Work?

In physics, the word "work" involves the measurement of energy transfer that takes place when an item is moved over a range by an externally applied, at least a portion of which is applied within the direction of the displacement.

The length of the path is multiplied by the element of a force acting all along the path to calculate work if the force is constant. The work W is theoretically equivalent towards the force f times the length d, or W = fd, to portray this concept.

As per the given information in the question,

Force, f = 400 N

Displacement, d = 0.2 meters

\(Work done(W)=Force(f)*Displacement(d)\)

W = 400 × 0.2

W = 80 J.

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what is the pressure of a tank of uniform cross sectional area 4.0m2 when the tank is filled with water a depth of 6m when given that 1 atm=1.013 x 10^5pa density of water=1000kgm-3 g=9.8m/s2​

Answers

The pressure of the tank, when filled with water at a depth of 6 m, is approximately 580.124 atmospheres (atm). To calculate the pressure of the tank, one can use the equation: Pressure (P) = Density (ρ) × g × Depth (h)

Pressure (P) = Density (ρ) × g × Depth (h)

Given: Density of water (ρ) = 1000 kg/m³

Acceleration due to gravity (g) = 9.8 m/s²

Depth (h) = 6 m

Using the given values, one can calculate the pressure:

Pressure = 1000 kg/m³ × 9.8 m/s² × 6 m Pressure

= 58800 kg·m⁻¹·s⁻²

Now, let's convert the units to pascals (Pa) using the conversion 1 atm = 1.013 x \(10^5\) Pa:

Pressure = 58800 kg·m⁻¹·s⁻² × (1 atm / 1.013 x\(10^5\) Pa)

Pressure = 580.124 atm

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In an experiment a block of copper metal with a mass of 1.3 kg is heated
from 25 °C to 45 °C. The specific heat capacity of copper is 380 J/kg °C.
Calculate the energy needed to heat the copper to 45 °C.

Answers

The energy needed to heat the copper from 25 °C  to 45 °C if the specific heat capacity of copper is 380 J/kg °C is 9880 J

ΔT = T - To

ΔT = Change in temperature

T = Final temperature

To = Initial temperature

T = 45 °C

To = 25 °C

ΔT = 45 - 25

ΔT = 20 °C

q = m C ΔT

q = Heat Energy

m = Mass

C = Specific heat capacity

m = 1.3 kg

C = 380 J / kg °C

q = 1.3 - 380 * 20

q = 9880 J

Therefore, the energy needed to heat the copper to 45 °C is 9880 J

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A jar of tea is placed in sunlight until it reaches an equilibrium temperature of 33.1 ◦C . In an attempt to cool the liquid, which has a mass of 185 g , 90.3 g of ice at 0.0 ◦C is added. At the time at which the temperature of the tea is 26.3 ◦C , find the mass of the remaining ice in the jar. The specific heat of water is 4186 J/kg · ◦ C . Assume the specific heat capacity of the tea to be that of pure liquid water. Answer in units of g.(2 significant digits pls) ​

Answers

90.1 g of ice are still present in the container. Calculating the heat received by the ice to melt and the heat lost by the tea is necessary until it reaches an equilibrium temperature of 33.1 ◦C .

How do you calculate the amount of heat needed to melt ice?

Consider how much energy is required to melt one kilogramme of ice at zero degrees to produce one kilogramme of water at zero degrees. The energy required to melt one kilogramme of ice is determined by Q = mLf = (1.0 kg)(334 kJ/kg) = 334 kJ using the equation for a change in temperature.

In order to calculate how much heat is gained by the ice melting, we must first calculate how much heat is lost by the tea as it cools from 33.1 °C to 0.0 °C.

Tea loses the following amount of heat: q1 = m1CT1 = 0.185 kg) (4186 J/kg C) (33.1 C - 0.0 C) = 26298.93 J.

Heat required for ice to melt is given by the formula: q2 = m2Hf = (0.0903 kg)(333.55 kJ/kg) = 30062.56 J

We may set q1 = q2 to get the mass of ice still present because the system is in thermal equilibrium:

m2 = q2/Hf = 333.55 kJ/kg / 30062.56 J = 0.0901 kg

Finally, we round the mass to two significant digits and convert it to grammes:

m2 = 90.1 g

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The word lithosphere is broken into many small and large slabs of rock called?

Answers

Answer:

The lithosphere is divided into huge slabs called tectonic plates. The heat from the mantle makes the rocks at the bottom of lithosphere slightly soft.

Explanation:

The Earth's lithosphere is broken into many small and large slabs of rock that are known as tectonic plates.

What are earth layers?

Earth is divided into four parts :

The crustThe mantleThe outer core and,The inner core.

Lithosphere is the rigid and rocky outer portion of earth's surface. It consists of crust and upper mantle.

Asthenosphere is mostly found in the uppermost mantle of earth. It is weak in nature. Hot molten magma comes out from here.

Our earth is broken into 7 major and some minor plates.

7 Major Plates are :

Pacific PlateNorth American PlateSouth American PlateEurasian PlateAfrican PlateAntarctic Plate Indo- Australia Plate

Minor Plates are :

Cocos PlateNazca PlateArabian Plate Philippine plate Caroline plate Fuji Plate

Hence, our lithosphere is divided into many small and large slabs of rock, and they are known as tectonic plates.

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A 9.00 kg bomb mass is sitting stationary. The bomb explodes and M1 (3kg) moving to the left with a velocity of
140 ms (v₁). The remaining portion flys to the right. Determine the v2 (velocity) it flys off with

Answers

A 9 kg explosive detonates into two fragments, each weighing 3 kg and 6 kg. The kinetic energy of mass 6 kg is 1.92 J, and the velocity of mass 3 kg is 1.6 m/s.

What is meant by velocity?The rate at which an object's position changes as perceived from a particular point of view and as measured by a certain unit of time is determined by its velocity, which can be expressed as, for instance, 60 km/h northbound. Quickness of motion or activity is known as velocity. Speed is a shorter term and a synonym for celerity. The term "velocity" in physics especially refers to the measurement of an object's rate and direction of positional change.The vector quantity velocity (v), denoted by the equation v = Δs/Δt, quantifies displacement (or change in position, s), over change in time (t).

Therefore,

The total momentum of the bomb is unchanged before and after the explosion thanks to the conservation of linear momentum.

0 = 3 × 1.6 + 6v

v = 0.8 m/s

Kinetic energy of mass 6 kg is:

1/2 mv² = 1/2 × 6 × 0.8²

= 1.92 J

Hence, the correct option is c) 1.92J

The complete question is:

A bomb of mass 9kg explodes into 2 pieces of mass 3kg and 6kg. The velocity of mass 3kg is 1.6m/s, the kinetic energy of mass 6kg is :

A) 3.84J

B) 9.6J

C) 1.92J

D) 2.92J

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Group B[1] 12 State Huygens's Principle [2] b) In a Young's double slit experiment, the fringe width obtained is 0.6 cm. When light of wave length 4500 Aº is used if the distance between the screen and the slit is reduced in half, what should be the wavelength of light used to obtain fingers 0.0045 m wide? [3]​

Answers

The wavelength of light that should be used to obtain fringes that are 0.0045 m wide after reducing the distance between the screen and the slit by half is 2.25 * 10^7 Å.

Huygens's Principle states that every point on a wavefront can be considered as a source of secondary spherical wavelets that spread out in all directions with the same speed as the original wave. The new wavefront is formed by the envelope of these secondary wavelets at a later time.

Now, let's consider a Young's double-slit experiment. In this experiment, when light passes through two narrow slits, it creates an interference pattern on a screen behind the slits. The fringe width is the distance between two consecutive bright or dark fringes in the pattern.

Given that the fringe width obtained is 0.6 cm and the wavelength of light used is 4500 Å (Angstroms), we can calculate the wavelength of light required to obtain fringes that are 0.0045 m wide.

We can use the formula for fringe width in Young's double-slit experiment:

w = (λ * D) / d

Where:

w is the fringe width,

λ is the wavelength of light,

D is the distance between the screen and the double slits, and

d is the distance between the two slits.

Let's calculate the value of D/d using the given information:

D/d = w / λ

= 0.006 m / 4500 Å (1 m = 10^10 Å)

= 0.006 * 10^10 / 4500 m^-1

Now, if the distance between the screen and the slit is reduced by half, the new value of D/d would be:

(D'/d) = (0.006/2) * 10^10 / 4500 m^-1

Now, we can rearrange the equation to solve for the new wavelength (λ'):

(λ' * D') / d = (D/d)

λ' = (D/d) * d / D

= [(0.006/2) * 10^10 / 4500] * (4500 / 0.006) Å

= 0.0045 m * 10^10 / 2 Å

= \(0.00225 * 10^{10\) Å

=\(2.25 * 10^7\)Å

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A carbon ion with 10 electrons and 6 protons would have a charge of ?

Answers

Answer:

-4

Explanation:

Electrons are negative while protons are positive.

To find the charge, add the number of protons to the number of electrons.

6+(-10)

6-10

-4 is the charge

when placed in water does a pencil bend towards the normal or away from the normal?

Answers

Answer:

ni sin theta i = nr sin theta r       where theta i is the angle of   incidence     and theta  r the angle of refraction

For nr greater than ni   (air to water) theta r must be smaller and the image would be bent towards the normal

A 0.001 kg nail is placed 0.2m away from 0.1 kg hammer. Calculate the gravitational force on the nail from the hammer.   ​

Answers

Answer:

F= 1.67 x \(10^{-13}\)N

Explanation:

I used this equation:

F = GMm/R²

Where M is mass 1

where m is mass 2

where R is distance

where F is gravitational force

According to the FITT Principle you should exercise how many days ?

Answers

you should exercise 2-3 times per week

Roy is a baseball pitcher. The box indicates the strike zone, and the dots represent pitches.



What is the best description of Roy’s pitching?

accurate but not precise
precise but not accurate
both accurate and precise
neither accurate nor precise

Answers

Both Accurate and precise.

2. A 7 kg. Mass is moved across the table at 25 m/sec. What force caused the acceleration?

Answers

A 7 kg mass moving across the table at an acceleration of 25 m\(/s^2\)requires a force of 175 N.

To determine the force required to cause the acceleration of a 7 kg mass moving across the table at 25\(m/s^2\), we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration.

Given:

Mass (m) = 7 kg

Acceleration (a) = 25 \(m/s^2\)

We can substitute these values into the equation:

Force (F) = mass (m) * acceleration (a)

F = 7 kg * 25 \(m/s^2\)

F = 175 kg·\(m/s^2\)

Therefore, the force required to cause the acceleration of the 7 kg mass is 175 kg·\(m/s^2\).

To understand the calculation, we need to know that force is a measure of how much an object accelerates when a certain amount of mass is acted upon by that force. In this case, the mass of the object is 7 kg, and it is experiencing an acceleration of 25\(m/s^2\).

By multiplying the mass and acceleration together, we find that the force required is 175 kg·\(m/s^2\). This unit, also known as a Newton (N), represents the force required to accelerate a 1 kg mass at a rate of 1 \(m/s^2\)

In summary, the force required to cause the acceleration of the 7 kg mass across the table at 25 \(m/s^2\) is determined to be 175 kg·\(m/s^2\). This calculation follows Newton's second law of motion and shows the relationship between mass, acceleration, and force.

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An object that is oscillating on a spring is given by the equation x = (10.0 cm) cos[(6.00 s-1)t]. At what value of t after t = 0.00 s is the cart first located at x = 8.00 cm?

Answers

Answer:

\(t=0.0107\ \text{s}\)

Explanation:

\(x=10\cos(6t)\)

Now \(x=8\ \text{cm}\)

Substituting the value of \(x\) in the equation we get

\(8=10\cos6t\)

\(\Rightarrow 0.8=\cos6t\)

\(\Rightarrow \cos^{-1}0.8=6t\)

\(\Rightarrow t=\dfrac{\cos^{-1}0.8}{6}\)    the values here are used found in radians

\(\Rightarrow t=0.0107\ \text{s}\)

So, at \(t=0.0107\ \text{s}\) the value of \(x=8\ \text{cm}\).

convert 750W into kilowatts

Answers

Ans. 0.75

To convert watts into kilowatts we must divide it by 1000

so dividing 750W by 1000

we get,

750/1000 = 0.75

hence 750W in kilowatts equals to 0.75

Which of the following examples describes mechanical efficiency?
A. greasing a surface helps reduce friction
OB. a longer lever helps lift more weight
O C. a fixed pulley changes the direction you
pull
D. pushing the object down a slope is less
work

Answers

Answer:

Hello

I think the first one is correct.

Explanation:

A...............is the answer

How much work is done when 25 N of force is used to push a crate 3.0 m

Answers

Answer:

The answer is 75 J

Explanation:

The work done by an object can be found by using the formula

work done = force × distance

From the question

force = 25 N

distance = 3 m

We have

work done = 25 × 3

We have the final answer as

75 J

Hope this helps you

Which of the diagrams below illustrates sound waves generated by a siren
that is moving with constant speed to the left?

Which of the diagrams below illustrates sound waves generated by a sirenthat is moving with constant

Answers

Diagram D. shows the sound waves generated by a siren

that is moving with constant speed to the left.

A sound wave is the sample of disturbance caused by the movement of strength journeying thru a medium because it propagates far away from the supply of the sound. Sound waves are created by using object vibrations and bring strain waves, for example, a ringing cellular phone.

Sound waves fall into three classes: longitudinal waves, mechanical waves, and strain waves. keep studying to find out what qualifies them as such. Longitudinal Sound Waves A longitudinal wave is a wave wherein the movement of the medium's debris is parallel to the course of the energy transport. Sound propagates via air or different mediums as a longitudinal wave, in which the mechanical vibration constituting the wave occurs along the direction of propagation of the wave.

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A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?

Answer in kg

Answers

The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:

τ = r * F * sin(θ)

where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.

In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.

Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:

τ_M = r_M * F_M * sin(θ)

where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.

Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:

τ_M = τ_stick

r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)

Substituting the given values:

30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)

Solving for F_M:

F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)

F_M = 0.0264 kg * 9.8 m/s^2

F_M = 0.25872 N

Finally, we can convert the force into mass using the formula:

F = m * g

0.25872 N = M * 9.8 m/s^2

M = 0.0264 kg

Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

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Which landscape feature can be caused by chemical
weathering?
OU-shaped valley
O Basalt columns
O Limestone caves

Answers

Answer: Limestone Caves

Explanation: The most common feature that can be caused purely by chemical weathering is Karst Landscape, which can lead to caverns and sinkholes.

The straightest road in the USA is the Simi Highway, Route 28, in Michigan. A driver, seated in a car, is viewing a deer crossing the road. The eyes of the driver are about 3 ft above the ground, and the deer is about 3 ft in height. If the radius of the Earth is 6400 km.

Required:
a. How far away can the driver see the very top of the deer as it emerges from below the horizon?
b. If the deer is 5 feet long, what angle does the deer subtend from the driver (i.e. what is the angular size of the 5’ long deer at this distance)?

Answers

Answer:

a) d = 3.6 km

b) 0.024°

Explanation:

To see the top of a 1 m tall deer over the surface of a 6400 km radius perfect sphere, the angle subtended is

cosθ = 6 400 000 / (6 400 001)

θ = 0.0320293...°

d = Rtanθ = 6 400 000tan0.0320293

d = 3,577.708... m

5 ft = 1.524 m

tanθ = 1.524 / 3577.7

θ = 0.0244063...°

# 5 what will most likely happen when an air mas of low temperature exists above a water body at a higher temperature?
Heat will transfer from the wetter to the air ​

Answers

Answer: Heat will transfer from the water to the air. When a mass of air moves on a warmer surface it is heated by its base. Then thermal instability develops in the lower layers and then extends upwards. If the air initially contained inversions, these are destroyed and a strong gradient is established uniformly in the lower troposphere temperature.

Answer:

yes u are correct

Explanation:

The half-life of a radioactive isotope is 210 d. How many days would it take for the decay rate of a sample of this isotope to fall to 0.58 of its initial rate?

Answers

It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.

2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.

3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.

4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.

5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.

6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".

7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).

8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).

9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.

10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.

11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).

12. Evaluating the expression, we find: t ≈ 546.

13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

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What is the minimum amount ( in kg) of liquid water at 26 degrees that would be required to completely melt 41 grams of ice? The specific heat capacity of liquid water is 4180 J/kg/°C and the specific heat of fusion of ice is 3.33×105 J/kg.

Answers

Approximately 0.123 kg of liquid water at 26 degrees Celsius would be needed to melt 41 grams of ice.


To calculate the minimum amount of liquid water required to melt 41 grams of ice at 0°C, we need to consider the energy required for the phase change from solid to liquid, which is known as the specific heat of fusion of ice.

The energy required to melt 1 kg of ice is 3.33×105 J/kg.

Therefore, the energy required to melt 41 grams of ice is (3.33×105 J/kg) × (41/1000) kg = 13653 J.

To calculate the amount of liquid water required, we use the specific heat capacity of water, which is 4180 J/kg/°C.

Assuming the initial temperature of water is 26°C, the amount of water needed can be calculated as (13653 J) ÷ (4180 J/kg/°C) ÷ (26°C) = 0.123 kg or approximately 123 ml of water.

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A thermodynamic system consists of an ideal gas at a volume of 3.50 L and initial pressure of 6.2 × 104 Pa. As the volume is held constant, the pressure is increased to 8.2 × 104 Pa. What work is involved in this process?

Answers

Answer:

0 J

Explanation:

Since work done W = PΔV where P = pressure and ΔV = change in volume.

Since the volume is constant, ΔV = 0

So, Work done, W = PΔV = P × 0 = 0 J

So, the work done is 0 J.

Our school needs to offer healthier options in the lunchroom. Elever High School has recently updated its cafeteria menu to include whole wheat pasta and breads, a fresh salad bar, and other healthy menu items. Students there claim that they have more energy and focus throughout their school day. Let's encourage healthier menus in our lunchroom!

What type of evidence does the writer of this passage use to support her claim?


statistics
statistics

an expert's opinion
an expert's opinion

examples
examples

the writer's opinion

Answers

Answer:

b

Explanation:

two positive charges are placed in a vacuum.The coulomb force between the two charges is 3N.On sliding an insulator between these charges,coulomb force is reduced to 1.5N.Find the relative permitivity of this particular insulator.

Answers

The relative permittivity of the insulator is εr = 1 / 2 = 0.5.

What is the relative permitivity of this particular insulator?

The relative permittivity of the insulator is calculated by applying the equation for the Coulomb force.

F = (kq²) / r²

where;

k is the electrostatic constant q is the magnitudes of the chargesr is the distance between the charges.

The initial force equation becomes;

3 = (kq²) / r²

Let's denote the relative permittivity as εr.

The new force equation becomes;

1.5 = (kq² x εr) / r²

Divide the two force equations;

(3 / 1.5) = (kq²) / (kq² x εr)

2 = 1 / εr

εr = 1/2 = 0.5

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A.005kg bullet going 200m/s, hits a .995kg block of wood, what is the final speed of the bullet and wood as they fly off together? ​

Answers

Answer:

Given :  

m 1 =0.5 kg        

u 1 =0 m/s                    

m 2=0.005 kg      

u 2=200 m/s              

Let the velocity acquired by the block after the collision be V.

Using conservation of linear momentum before and after the collision :    P i =P f

​∴    m1u 1 +m 2u 2=(m 1+m 2 )V

OR    

0.5×0+0.005×200=(0.5+0.005)V              

⟹V≈1.9  m/s

Answer:

V= 1.9  m/s

Explanation:

I did the test

Hope this helps :)


Which type of decay has no charge associated with it?
alpha
beta
gamma
All types have an associated charge.

Answers

The type of decay that has no charge associated with it is gamma decay (option C).

What is gamma decay?

Gamma decay is a nuclear reaction with the emission of a gamma ray. A gamma ray is a high frequency/energy electromagnetic radiation emitted as a consequence of radioactivity.

Gamma rays are waves, not particles. This means that they have no mass and no charge.

This, therefore, suggests that when a gamma ray is emitted, no charge is involved.

Unlike alpha and beta decay that involves +2 and -1 charges respectively.

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Find the Peukert constants n and λ for Peukert’s equation for following two measurements available from a constant current discharge experiment of a battery : (i) (t1, I1) = (10, 25) (ii) (t2, I2) = (4,45)

Answers

The battery Peukert constants, n and, are around 1.223 and 2.486, respectively.

How many Peukerts can fit?

Wilhelm Peukert, a German physicist, proposed Peukert's law in 1897, which quantifies a battery's capacity in terms of the rate of discharge. The battery's useful capacity reduces as the rate of discharge rises. The supplied capacity decreases as discharge rate increases.

C = I⁽⁻ⁿ⁾ * t * λ

log(C) = -n * log(I) + log(λ) + log(t)

log(C1) = -n * log(I1) + log(λ) + log(t1)

log(C1) = -n * log(25) + log(λ) + log(10)

Similarly, for the second measurement, we have:

log(C2) = -n * log(I2) + log(λ) + log(t2)

log(C2) = -n * log(45) + log(λ) + log(4)

log(C1) - log(C2) = -n * (log(25) - log(45)) + log(10/4)

Simplifying, we get:

log(C1/C2) = n * log(45/25) + log(2.5)

Substituting the values, we get:

log(25/45) = n * log(45/25) + log(2.5)

Solving for n, we get:

n = (log(25/45) - log(2.5)) / log(45/25)

n = 1.223

log(C1) = -1.223 * log(25) + log(λ) + log(10)

log(C1) = -1.223 * 1.39794 + log(λ) + 1

Solving for log(λ), we get:

log(λ) = log(C1) + 1.223 * 1.39794 - 1

log(λ) = log(25) + 1.223 * 1.39794 - 1

log(λ) = 0.39794

Therefore, λ = 2.486.

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