Suppose a plane accelerates from rest for 30 s, achieving a takeoff speed of 80 m/s after traveling a distance of 1200 m down the runway. A smaller plane with the same acceleration has a takeoff speed of 40 m/s . Starting from rest, after what distance will this smaller plane reach its takeoff speed?

The acceleration of Laura is 5.32 m/s² and that of Healen is 3.75 m/s².

Velocity is the directional speed of a moving item as an indication of its rate of change in position as seen from a specific frame of reference and measured by a specific time standard (e.g., 60 km/h northbound). The idea of velocity is crucial in kinematics, the part of classical mechanics that explains the motion of bodies.

A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed is a coherent derived unit that expresses the scalar absolute value (magnitude) of velocity. Its quantity is expressed in SI units (metric system) of metres per second (m/s or ms1). For example, "5 meters per second" is a scalar while "5 meters per second east" is a vector.

Maximum speed of Laura is [tex]\Delta_{t1} = 2s[/tex]

Maximum speed of Healen is [tex]\Delta_{t2} = 3s[/tex]

Each runs at a constant acceleration for a given time interval, giving,

[tex]\Delta x_a = \frac{1}{2} a\Delta t^2[/tex]

This reaches final velocity

⇒ [tex]v = a\Delta t[/tex]

⇒ [tex]\Delta x_v = v(T - \Delta t)[/tex]

⇒ [tex]\Delta x_v =a\Delta t(T - \Delta t)[/tex]

Each sprinter's acceleration is calculated as follows:

Laura :-

⇒ [tex]\Delta t_1 = 2s[/tex]

⇒ [tex]a_1 = \frac{100m}{18.8s^2}[/tex]

⇒ [tex]a_1[/tex] = 5.32 m/s²

Healen :-

⇒ [tex]\Delta t_2 = 3s[/tex]

⇒ [tex]a_2 = \frac{100m}{26.7s^2}[/tex]

⇒ [tex]a_2[/tex] = 3.75 m/s²

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Full question

In a women's 100 m race, accelerating uniformly, Laura takes 2.00 s and Healan 3.00 s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting a world record of 10.4 s.

A) What is the acceleration of each sprinter?

Answer: A. use a thicker piece of wire.

Explanation:

The resistivity of the materials must be constructed  in ratio A₂ = 2A.

The resistance of a wire can be defined as

R = ρL/A

Where,

ρ is Resistivity

L is Length of the conductor

A is Area of cross section of the conductor.

R₁/R₂ = (L₁/L₂) × (A₂/A₁)  ----> rearranging it for A

A₂ = (R₁/R₂) × (L₂/L₁) × A₁  

A₂ = (R/R) × (2L/L) × A  

A₂ = 2A

Therefore, cross section area of another conductor must be 2A.

The strength with which a substance resists electric current is known as electrical resistivity, which is a fundamental attribute of materials. A substance that permits electric current to flow easily has a low resistance. The Greek letter is often used to symbolize resistivity. The ohm-meter is the SI unit used to measure electrical resistivity.

A substance's ability to resist the flow of current, or electrons, can be characterized as a physical attribute. A specific substance with specific dimensions is distinguished by its physical property of resistivity.

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Answer:

Not really, because wearing a mask can lower your immune system and covid can be caught like any other virus body contact and body fluids. So since you can still get it through those ways then you're going to get it and be worse off than if you don't wear a mask.

you can test this by not wearing a mask and see how not bad it is catching covid over getting it while you wear a mask.

Explanation:

Answer:

Yes

Explanation:

Hypothesis- if masks are used to protect yourself from Covid-19 then the spread of the virus will decrease

You could test this by:

Getting a mask and using materials such as shampoo, soap, honey, glue,  or (safe) chemicals to see how much the masks absorbs the materials. By doing so you can show how the mask can help block certain materials from entering or leaving the mask area therefore slowing the spread of Covid.

The disadvantages of refractive telescopes include chromatic aberration and longer size.

This was the telescope developed by Newton in 1668.It is the simplest type of telescope which has a tube with lenses on both ends. The light enters through the lens on the farther end of telescope. The light is refracted to a point near the lens on the near end. It is then then further magnified when seen through the lens on the eyepiece.

Even though it was more reliable, it was really heavy and had a larger aperture and longer body. Since high quality lenses were costly to make, cheaper lenses were used mostly. So there was chromatic aberration.

Therefore, the disadvantages of refractive telescopes include chromatic aberration and longer size.

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Answer: solid state

Explanation:

The change from the liquid state to the solid state is called freezing. As the liquid cools, it loses thermal energy. As a result, its particles slow down and come closer together. Attractive forces begin to trap particles, and the crystals of a solid begin to form.

Answer: Initial velocity is independent of the slope of the graph; that is, the acceleration. An object thrown downward still accelerates after release at the same rate as an object that is dropped.

Explanation: hope this helps

No.

A stone has the SAME acceleration whether you throw it down, throw it up, throw it sideways, or just drop it.

YOU decide the stone's initial velocity, but it always has the same acceleration after it leaves your hand.

In the Modified Block letter style, the date, complimentary close, and signature block are positioned approximately one-half inch to the right of center or at the right margin.

Following the proper format while writing business letters is crucial. There are specific methods that business letters have to be written.

The modified block letter style, which places one space between the body of the letter and the addresses of the sender and recipient, is one of the several letter kinds. In this form of letter, one space corresponds to around half an inch to the right of centre or at the right margin. Modified block letter formats are largely the same as full-block business letters.

Modified block format is a different extensively used format. The letter body, along with the sender and recipient's addresses, are left justified and single-spaced in this format. On the other hand, tab to the centre and start typing for the date and closure. Semi-Block. Semi-block is the last and least popular type of style.

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The mass of the object is obtained as 130 g.

The triple beam balance is the kind of balance that could be used to measure the mass of a substance. There are so many kinds of balance that could be used in science and these include;

1) beam balance

2) Spring balance
3) unequal arm balance

We read the mass of the object by looking at all the points that we have set on the triple beam balance to achieve the balance point. In the case of the substances that we have seen in the image of the question, the mass of the object is obtained as 130 g.

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The average speed for the entire journey is 48 km/hr.

The average speed is the sum distance which is traveled by the object in a particular time interval, as the average speed is a scalar quantity and it is presented by the magnitude and has no direction.

here the first speed v₁ is 60 km/hr and the second speed v₂ is the 40 km/hr .So,  The formula we are referring to for calculating the average  speed

  S = 2v₁v₂/(v₁+v₂)

here,   v₁+v₂ =  60+40 =100

Now substituting the desired values  in the formula  

        =  2 x 60 x40/(100)

       =  4800/100

       = 48 km/hr

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Answer:

60 m/hStep-by-step

explanation:S = d/t

S= 360/60

S= 60

Since the cabinet must be mounted in a wet location, it must be mounted so there is at least 1/4 of airspace between the cabinet and the wall.

The area of the atmosphere that is under the authority of a nation above its territory, including its territorial waters, or, more broadly, any particular three-dimensional area of the atmosphere

It is not the same as aerospace, the umbrella term for the Earth's atmosphere and the proximity of outer space.

Wherever it is deemed necessary for air traffic control to exercise any sort of direct executive oversight over aircraft operating there, that area of the sky is known as controlled airspace.

A range of areas and zones, including those where flying operations are either completely prohibited or subject to restrictions, may be included in the further division of airspace.

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The distance between you and the deer when you come to a stop is

s = d - 30 = 18 m.

The maximum speed you could have and still not hit the deer is

v = -5 + [tex]\sqrt{5}[/tex][tex]\sqrt{5 + 4d}[/tex]

  = 26m/s

You're driving down the highway late one night at 20m/s when a deer steps onto road d in front of you.

Your reaction time before stepping on the brakes is 0.50s and the maximum deceleration of your car is 10m/s2.

Given,

Speed = 20m/s

Time = 0.50 s

Distance = d

Deceleration = 10m/s2

D = R × T

D = Vi × Tr

D = (20 m/s) × (0.50 s)

D = 10 m

Dd = [ Vf^2 - Vi^2 ] / [ 2 × (-10 m/s^2) ]

Dd = [ (0.0 m/s)^2 - (20 m/s)^2 ] / (-20 m/s^2)

Dd = [ -400 m^2/s^2 ] / (-20 m/s^2)

Dd = 20 m

The total distance traveled is

Dt = D + Dd

Dt = (10 m) + (20 m)

Dt = 30 m

The distance between you and the deer when you come to a stop is

s = d - 30 = 18 m.

The maximum speed you could have and still not hit the deer is

v = -5 + [tex]\sqrt{5}[/tex][tex]\sqrt{5 + 4d}[/tex]

  = 26m/s

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By using uniform motion, the high up the slope will it strike is 730.62 m.

We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

θ = 70⁰

vi = 200 m/s

x = 300 m

Find the initial velocity in x and y axis

vx = vi cosθ = 68.40 m/s

vy = vi sinθ = 187.94 m/s

Find the time taken to reach 300 m

vx = x / t

68.4 = 300 / t

t = 4.39 second

Find the time taken to reach maximum height

vt = vo + a . t

0 = vy - g . t

vy = gt

187.94 = 9.8 . t

t = 19.18 second

The motion of projectile is raising to maximum height, hence

s = vo . t + 1/2 . a . t²

h = vy . t - 1/2 . g . t²

h = 187.94 . 4.39 - 1/2 . 9.8 . 4.39²

h = 730.62 m

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The magnitude of force applied to the nails when they are located between point A and B is 37.5 N.

The magnitude of force applied to the nails when they are located between point B and C is 62.5N.

The force applied to the nails when they are located between point A and C is 29.41N

The moment exerted by the drill machine is: M =15 N⋅m

(a) The magnitude of force applied to the nails when they are located between point A and B.

Fa=M/AB

AB is distance between points A and B.

Plug in all the values in the above equation.

Fa=15 N⋅m/450mm

=15 N⋅m/0.45m

=37.5 N

Therefore, the magnitude of force applied to the nails when they are located between point A and B is 37.5 N.

(b)The magnitude of force applied to the nails when they are located between point B and C.

Fb=M/BC

BC is distance between points B and C.

Substitute all the values in the above equation.

Fb=15 N.m/240mm

=15 N.m/0.24m

= 62.5N

Thus, the magnitude of force applied to the nails when they are located between point B and C is 62.5N.

(c) The distance between points AC is,

AC=√(AB)2+(AC)2

Plug in all the values in the above equation.

AC=√(450mm)2 +(240mm)2

=510mm

=0.51m

The magnitude of force applied to the nails when they are located between point A and C.

Fc=M/AC

Substitute all the values in the above equation.

Fc=15 N⋅m/0.51m

=29.41 N

Thus, the force applied to the nails when they are located between point A and C is 29.41N

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The average speed with which the vehicle travels is equal to 56 Km/hr.

Velocity is measured as a vector quantity. There is a magnitude to it as well as a direction. The magnitude of velocity is measured by speed. The S.I. unit for this is the meter per second. Additionally, there are other units like km/h and km/s. Its dimensional equation is [LT-1].

The average speed of any vehicle is calculated over a given range of time. It is the total distance traveled by the vehicle in the given interval of time divided by the given time interval. It is a scaler quantity.

Average speed= Total Distance/ Time Taken

Given in the question

Distance = 140 km

Time of leaving Leeds = 8.00 am

Time of arriving Newcastle = 10.30 am

Time Taken = Time of arriving Newcastle - Time of leaving Leeds

                    = 10.30 - 8.00

                    =  2 hours and 30 minutes

So, the time taken is = 2.5 hr

Put in the values, we get

Average speed= Total Distance/ Time Taken

Average speed= 140/ 2.5 Km/Hr

Average speed= 56 Km/Hr

So, the average speed with which the vehicle travels is equal to 56 Km/hr.

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The minimum angle at which the box starts to slip is  20.30°, the acceleration once the box has begun to move is 1.10 m/s2 and final velocity of the box is 3.41 m/s^2.

Given:

Mass of the box m = 25.2 kg

Acceleration due to gravity g = 9.8 m/s^2

Coefficient of kinetic friction between the ramp and box  μk=0.25

Coefficient of static friction μs = 0.37

Part(A)

By inctreasing, parallel component of the weight will also increase but the force will decrease.

Let say θ be the angle of repose.

Now we know that

Ff= μs × mg × cosθ = mg × sinθ = Wp

Then we will get

θ = tan−1(μs)

θ = tan-1 (0.37) = 20.30 °

Part(B)

As the box starts sliding the frictional force becomes kinetic friction

The kinetic frictional force

F(k) = μ(k) x mg x cos(20.30)

= 0.25 × 25.2 × 9.8 × cos (20.30)

= 57.91 N

Now calculate the parallel component of the weight

W(p) = mg x sinθ

W(p) = 25.2 x 9.8 x cos (20.30)

= 85.68 N

Now calculate net force

F(net) = W(p) − F(k) = 85.68 − 57.91 = 27.77 N

Acceleration of the box

a = Fn/m = 27.77/25.2 = 1.10 m/s2

Part(C)

The box has moved a distance s = 5.3 m

The final speed of the box = v

Now

v = √ 2as

v = √ 2 x 1.10 x 5.3

v = 3.41 m/s^2

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The complete question is

A 25. 0 kg box of textbooks rests on a loading ramp that makes an angle α with the horizontal. The coefficient of kinetic friction is 0. 250, and the coefficient of static friction is 0. 350. Part A) As the angle θ is increased, find the minimum angle at which the box starts to slip. Express your answer using two significant figures. Part B) At this angle, find the acceleration once the box has begun to move. Express your answer using two significant figures. Part C) At this angle, how fast will the box be moving after it has slid a distance 5.3 m along the loading ramp? Express your answer using two significant figures.

By using uniform motion, the high up the slope will it strike is 730.62 m.

We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

θ = 70⁰

vi = 200 m/s

x = 300 m

Find the initial velocity in x and y axis

vx = vi cosθ = 68.40 m/s

vy = vi sinθ = 187.94 m/s

Find the time taken to reach 300 m

vx = x / t

68.4 = 300 / t

t = 4.39 second

Find the time taken to reach maximum height

vt = vo + a . t

0 = vy - g . t

vy = gt

187.94 = 9.8 . t

t = 19.18 second

The motion of projectile is raising to maximum height, hence

s = vo . t + 1/2 . a . t²

h = vy . t - 1/2 . g . t²

h = 187.94 . 4.39 - 1/2 . 9.8 . 4.39²

h = 730.62 m

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The answer is hang glider.

In high school, I created a project for a similar experiment that was accepted.

It matters what you carry the egg in because it is an egg, so something cushioned.

Use the fabric and cut the paper bag to make the kind of parachute I mentioned before.

When people go sky divining, they use a specific kind of parachute because the design is supposed to slow the fall and give them a chance to make a safe landing.

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You have to double the period as well in order to keep it unchanged.

Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.

The units will be in metres per second (m/s) in this example since the distance is measured in metres (m) and the time is measured in seconds (s).

The formula for speed is as straightforward as dividing a distance by a time.

To calculate speed, divide the distance travelled (say, 3 metres) by the passing time (say, 3 seconds) (one metre per second).

So, the rate at which an object’s position changes in any direction can be defined as speed.

The speed formula is as follows: [Speed = Distance]

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A device that regulates how much engine power flows to a machine's moving parts, frequently made of connected sets of wheels with teeth around the edges. Hence, option C is correct.

A gear is a spinning, circular machine element with teeth that can be cut, or in the case of a cogwheel or gearwheel, they can be inserted. These teeth, known as cogs, mesh with another toothed part to transmit (convert) torque and speed. The fundamental idea underlying how gears work is comparable to the fundamental idea behind how levers work.  Cog is another casual term for gear. A power source's speed, torque, and direction can all be altered by geared devices.

So, the exact definition of gear is that gears are wheels with teeth.

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Answer:

Gears are wheels with teeth

The pressure when 32 newtons of force is applied to an area of 12.8 m² is 2.5 Pascals.

The force applied per unit area is defined as pressure.. Its S.I. unit is Pascal. 1 Pascal is equal to one Newton of force applied over an area of one meter squared. Its dimensional formula is [[tex]ML^{-1}[/tex][tex]T^{-2}[/tex]].

Pressure is directly proportional to the force applied and inversely proportional to the area over which the force is applied. And it follows the Pascal law.

Pressure = Force/Area

Given in the Question

Force = 32 Newton

Area = 12.8 m²

Put in the values, we get

Pressure = 32/12.8

Pressure = 2.5 Pascals

Therefore, the pressure when 32 newtons of force is applied to an area of 12.8 m² is 2.5 Pascals.

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The statement "displacement tells the average direction of motion" regarding displacement is true.

Velocity is the directional speed of a moving item as an indication of its rate of change in position as seen from a specific frame of reference and measured by a specific time standard (e.g., 60 km/h northbound). The idea of velocity is crucial in kinematics, the part of classical mechanics that explains the motion of bodies.

A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed is a coherent derived unit that expresses the scalar absolute value (magnitude) of velocity. Its quantity is expressed in SI units (metric system) of metres per second (m/s or ms1). For example, "5 meters per second" is a scalar while "5 meters per second east" is a vector.

Average velocity is calculated by taking the displacement vector from the start and end-point of an object’s path, and dividing its magnitude by the time interval. The average velocity always has the same direction as that displacement vector.

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a)You throw a stone horizontally at a speed of 5.0 m/s from the top of a cliff that is 78.4 m high.

from above statement we got

height = 78.4 m

since the ball is thrown, so its vertical velocity would be zero

u = 0

taking g = 9.8m/s^2

now, using the equation of motion

h = ut + gt^2/2

now putting all the values in it

we got ,

78.4 = 9.8 * t^2/ 2

by solving we got,

t = 4 sec

b) now, since along the horizontal , no force acting and accelaration is zero so

R = ut , R is RANGE

R = 5 * 4

range =  20 m

c)  vertical components of the stone’s velocity just before it hits the ground = v sin θ =

horizontal   components of the stone’s velocity  just before it hits the ground = v cos θ

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In a day, an electrical resistance heater uses 10 kW-h of electricity. In the same day, the heater delivers 9 kW-h of heat to the house in which it is located.

A measurement of an object's resistance to the flow of electrical current is called electrical resistance. Electrical conductance, which gauges how easily an electric current moves, is its reciprocal quantity. Mechanical friction and electrical resistance conceptually have some similarities. Electrical resistance is measured in ohms (), the SI unit of electrical resistance, whereas electrical conductance is measured in siemens (S), also known as the mho (), the SI unit of electrical conductance.

An object's resistance is significantly influenced by the material it is constructed of. Electrical insulators like rubber typically have very high resistance and low conductance, whereas electrical conductors like metals typically have very low resistance and high conductance. Resistivity or conductivity are used to measure this relationship.

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You walk in a given direction for 20 m during the first 5 seconds, your average speed is equal to 5m/s

Average speed is determined by dividing the total distance you travelled by the total time, whereas average velocity is determined by dividing your displacement (a vector pointing from your initial position to your end position) by the whole time.

The amount of something that happens or changes in a unit of time is expressed as a rate.

The equation for speed is that Divide the distance an object travels by the time it takes to cover that distance to determine its speed. A unit of distance is divided by a unit of time in the speed equation.

Then Average speed = total distance / total time

= 20 + 15 / 5 + 2

= 35/7

= 5 m/s

The average speed is calculated as 5m/s

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Answer:

30 m/s

Explanation:

We can first list out the 3 kinematics equations:

[tex]v = u + at \\ {v}^{2} = {u}^{2} + 2as \\ s = ut + \frac{1}{2} a {t}^{2} [/tex]

Where:

v is the final velocity

u is the initial velocity

a is the acceleration

t is the time taken

s is the displacement

With all the 3 equations, we can now list the values needed for the first part of the question which is to find the acceleration for this first part.

Given:

v = 14 m/s

u = 6 m/s

t = 8s

We can use the first kinematics equation to solve for a. (v = u + at)

14 = 6 + a x 8

14 = 6 + 8a

8a = 14 - 6

8a = 8

a =

[tex]1 \frac{m}{ {s}^{2} } [/tex]

Now with this acceleration, we can find the final speed for the second part of the question by using the same kinematics equation. (v = u + at)

Given,

u = 14 m/s

t = 16 s

a =

[tex]1 \frac{m}{ {s}^{2} } [/tex]

v = 14 + (1)(16) = 14 + 16 = 30 m/s

The accelerations for each problem are:

1. 2.22m/[tex]s^{2}[/tex]

2. 7m/[tex]s^{2}[/tex]

3. 1.45m/[tex]s^{2}[/tex]

4. 20m/[tex]s^{2}[/tex]

The acceleration which is gained by the object because of gravitational force is called its acceleration due to gravity. Its SI unit is m/[tex]s^{2}[/tex]. Acceleration due to gravity is a vector, which means it has both magnitude and direction. The acceleration due to gravity at the surface of the Earth is represented by letter g. It has standard value defined as 9.80665 m/s2 (32.1740 ft/s2). However, actual acceleration of a body in free fall varies with location.

1. Initial velocity=0 km/h

Final velocity=24 km/h= 6.66m/s

Time=3 seconds

acceleration =[tex]\frac{6.66-0}{3}[/tex]=2.22m/[tex]s^{2}[/tex]

2. Initial velocity=0 km/h

Final velocity=35 m/s

Time=5 seconds

acceleration = [tex]\frac{35-0}{5}[/tex]=7m/[tex]s^{2}[/tex]

3. Initial velocity=20 km/h=5.55[tex]m/s^{2}[/tex]

Final velocity=60 km/h= 20m/[tex]s^{2}[/tex]

Time=10 seconds

acceleration= [tex]\frac{20-5.55}{10}[/tex]= 1.45m/[tex]s^{2}[/tex]

4. Initial velocity=50 m/s

Final velocity=150 m/s

Time=5 seconds

acceleration= [tex]\frac{150-50}{5}[/tex]= 20m/[tex]s^{2}[/tex]

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The negatively charged electric plate is avoided in favor of the positively charged electric plate by the cathode ray. Thomson was able to estimate the mass-to-charge ratio of the particles by measuring the degree to which the ray was refracted by a magnetic field.

What property of the electron did Thomson measure?

The negatively charged electric plate is avoided in favor of the positively charged electric plate by the cathode ray. Thomson was able to estimate the mass-to-charge ratio of the particles by measuring the degree to which the ray was refracted by a magnetic field.

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