How is it possible for man made things to move?

Answers

Answer 1

Answer:

Explanation:

Sure!

Cars do it all the time. Do you mean without some sort of guidance system, or some sort of computerized brain? That's getting a little tougher. It's possible I think, if you let some sort of timer turn it on.


Related Questions

Consider a corn yield of 7,500 kg/hectare (equivalent to 120 bushels per acre). If 25 kg (one bushel) of corn consumed about 20m3 of water during the growing season, what is the ratio of the weight of corn to the weight of water consumed

Answers

Answer:

[tex]\frac{W_{1}}{W_{2}} = 0.5[/tex]

Explanation:

The ratio of the weight of corn to the weight of water consumed will be the same. Either we compare the total weights for the total amount of corn or we compare only a small proportion of it. So, we consider the given 25 kg of corn. So, the mass of corn is given:

m₁ = mass of corn = 25 kg

Now, for mass of water, we will use its density:

ρ₂ = m₂/V₂

m₂ = ρ₂V₂

where,

m₂ = mass of water = ?

V₂ = Volume of water consumed by 25 kg corn = 20 m³

ρ₂ = density of water = 1000 kg/m³

Therefore,

m₂ = (1000 kg/m³)/(20 m³)

m₂ = 50 kg

Now, we calculate the ration:

[tex]\frac{Weight of Corn}{Weight of Water} = \frac{W_{1}}{W_{2}} = \frac{m_{1}g}{m_{2}g}[/tex]

[tex]\frac{W_{1}}{W_{2}}=\frac{m_{1}}{m_{2}} = \frac{25 kg}{50 kg}[/tex]

[tex]\frac{W_{1}}{W_{2}} = 0.5[/tex]

A solenoid that is 133 cm long has a radius of 2.99 cm and a winding of 1740 turns; it carries a current of 3.91 A. Calculate the magnitude of the magnetic field inside the solenoid.

Answers

Answer:

The value is  [tex]B = 0.0643 \ T[/tex]  

Explanation:

From the question we are told that

   The length of the solenoid is  [tex]L = 133 \ cm = 1.33 \ m[/tex]

     The radius is  [tex]r = 2.99 \ cm = 0.0299 \ m[/tex]

     The number of turns is [tex]N = 1740 \ turns[/tex]

     The current it carries is  [tex]I = 3.91 \ A[/tex]

Generally the magnitude of the magnetic field is mathematically represented as

           [tex]B = \frac{\mu_o * N * I}{L}[/tex]

Here  [tex]\mu_o[/tex]  is the permeability of free space with value  [tex]\mu_o = 4\pi *10^{-7} \ N/A^2[/tex]

=>      [tex]B = \frac{ 4\pi * 10^{-7} * 1740 * 3.91}{0.133}[/tex]  

=>      [tex]B = 0.0643 \ T[/tex]  

SUBJECT: ASTRONOMY -- TOPIC: Time Dilation

Find the time interval measured by your stationary watch if your friend’s watch measures 1.0 year while she is traveling at 0.87c aboard a futuristic interstellar rocket.

Answers

Answer:

You can determine if the ship is moving by lying down and measuring your height.

Explanation:

A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes, causing the car to slow down with a uniform acceleration of magnitude 3.50 m/s2. How far does the car travel after the driver put on the brakes until it comes to a stop?

Answers

Answer:

292 m

Explanation:

Step one:

given data

initial velocity velocity v= 32 m/s

final  velocity u= 0 m/s

acceleration a= 3.5m/s^2

Required

The distance covered upon the application of the brake

Step two:

we know that acceleration

a= v-u/t

t= v-u/a

t= (0-32)/3.5

t=32/3.5

t=9.14seconds

also, to find distance, we  use s=d/t,

rearrange as d=s*t  

d=32*9.14 s

d=292 m

When a battery-powered flashlight is turned on, it releases more energy than it had when it was off.
True or False?

Answers

Answer:

True

Explanation:

When it's turn off, chemical energy is stored (the battery) in the flashlight, when it's turn on the chemical energy transfers into light and thermal energy.

How is the volume flow rate of water out of the tank, dVdt, related to the flow speed v ? Express your answer in terms of some, all, or none of the variables v , d, the acceleration due to gravity g, and the constant π.

Answers

Answer:

[tex]\frac{dV}{dt}= \frac{\pi d^2}{4}v[/tex]

Explanation:

The rate of volume flow out of tank can be expressed as:

[tex]\frac{dV}{dt} = A\frac{dL}{dt}[/tex]

where,

dV/dt = Volume flow rate

A = Cross-sectional area of outlet = πd²/4

d = diameter of circular outlet

dL = Displacement covered by water

dt = time taken

but we know that:

Velocity = υ = displacement/time = dL/dt

Substituting the values of "dL/dt" and "A" in the equation, we get:

[tex]\frac{dV}{dt} = \frac{\pi d^2}{4}v[/tex]

This is the expression for volume flow rate dV/dt, on terms pf v, d.

I would like to know why this is the correct answer

-A spring scale shows a net force of 0.8 N acting on a 1.5-kg mass. What happens to the acceleration of the object if the net force is decreased to 0.2 N?

*The acceleration decreases to a quarter of its original value, or about 0.13 m/s2.

Answers

The acceleration of the object if the net force is decreased = 0.13 m/s²

Further explanation

Given

A net force of 0.8 N acting on a 1.5-kg mass.

The net force is decreased to 0.2 N

Required

The acceleration of the object if the net force is decreased

Solution

Newton's 2nd law :

[tex]\tt \sum F=m.a[/tex]

The mass used in state 1 and 2 remains the same, at 1.5 kg

state 1

ΣF=0.8 N

m=1.5 kg

The acceleration, a:

[tex]\tt a=\dfrac{\sum F}{m}\\\\a=\dfrac{0.8}{1.5}\\\\a=0.53`m/s^2[/tex]

state 2

ΣF=0.2 N

m=1.5 kg

The acceleration, a:

[tex]\tt a=\dfrac{\sum F}{m}\\\\a=\dfrac{0.2}{1.5}\\\\a=0.13~m/s^2[/tex]

Answer:

A spring scale shows a net force of 0.8 N acting on a 1.5-kg mass. What happens to the acceleration of the object if the net force is decreased to 0.2 N? A, The acceleration decreases to a quarter of its original value, or about 0.13 m/s².

a ball is thrown with a speed of 17.7 m/s at an angle of 49.8° above the horizontal. how much time does the ball need to reach a height of 4.7 m above the release point ?​

Answers

Answer:

The ball needs approximately [tex]0.41\; \rm s[/tex] to reach that height for the first time.

Explanation:

The initial speed of the ball [tex]17.7\; \rm m \cdot s^{-1}[/tex]. However, what would be the initial vertical speed of this ball?

The angle of elevation is [tex]\theta = 49.8^\circ[/tex]. Consider the initial speed of this ball as the length of the hypotenuse of a right triangle. If the angle of elevation is one of the two acute angles of this triangle, the initial vertical speed of this ball would be the leg opposite to that angle.

[tex]\displaystyle \sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}[/tex].

[tex]\displaystyle \sin \theta = \frac{v(\text{vertical, initial})}{v(\text{initial})}[/tex].

Therefore:

[tex]\begin{aligned}&v(\text{vertical, initial})\\ &= v(\text{initial}) \cdot \sin\theta \\ &= 17.7\; \rm m \cdot s^{-1} \times \sin \left(49.8^\circ\right) \approx 13.5\; \rm m \cdot s^{-1}\end{aligned}[/tex].

Let [tex]t[/tex] denote the time (in seconds) required for the ball to reach a height of [tex]4.7\; \rm m[/tex].

Let [tex]g[/tex] denote the acceleration because of gravity (typically [tex]g \approx 9.81\; \rm m \cdot s^{-2}[/tex] near the surface of the earth.) The height of the ball [tex]t[/tex] seconds after it was thrown would be: [tex]\displaystyle \frac{1}{2}\, g \cdot t^{2} + v(\text{vertical, initial}) \cdot t[/tex].

Assume that [tex]g \approx 9.81\; \rm m \cdot s^{-2}[/tex]. Set the value of this expression for height to [tex]4.7\; \rm m[/tex] and solve for [tex]t[/tex]:

[tex]\displaystyle \frac{1}{2} \times 9.81 \, t^{2} + 13.5 \, t = 4.7[/tex].

Either [tex]t \approx 0.41[/tex] or [tex]t \approx 2.3[/tex] will satisfy this equation. Both of these two values are reasonable. The first value for [tex]t[/tex] ([tex]0.41\; \rm s[/tex]) is the time required for the ball to reach a height of [tex]4.7\; \rm m[/tex] for the first time. The second value ([tex]2.3\; \rm s[/tex]) is the time required for the ball to come under that height on its way back to the ground. The question seems to be asking only for the first (the smaller one) of these two times.

To get an idea of how much thermal energy is contained in the world's oceans, estimate the heat liberated when a cube of ocean water, 3 km on each side, is cooled by 4 K. (Approximate the ocean water as pure water for this estimate.)

Answers

Answer:

Q = 4.52 10¹⁷ J

Explanation:

Thermal energy can be calculated with  

      Q = m c_{e} ΔT

in this case it indicates that we approximate seawater to pure water with  

    c_{e} = 4186 J/ kg K  

with the density

    ρ = m / V  

    m = ρ V  

    V = L³  

we substitute  

   m = ρ L³  

   Q = ρ L3 c_{e} ΔT

calculate  

   Q = 1000 (3 103) 3 4186 4  

   Q = 4.52 10¹⁷ J

I just need the answer to number 1 (with work please)
(Newton’s Second Law)

Answers

Answer:

wish I could help

Explanation:

I been rereading this and I can't solve it lemme go ask people in ma house real quick

In terms of running the Earth's atmospheric processes, the significant energy comes from the Sun and ________. a. the Moon b. the next closest star c. reflection from Venus d. no other source

Answers

Answer: no other source

Explanation:

The Earth gets energy from the sun which includes both heat and light and these are necessary for chemical reaction.

When the energy from the Sun gets to the Earth, they come as solar radiation and included in such solar radiation are infrared, invisible light, X-rays, ultraviolet light, radio waves, and gamma rays.

We should note that no other source is required for the Earth to get energy. The sun supplies it its energy.

Energy from a battery powers an electromagnet Which of the
following energy transformations takes place?
a
magnetic to heat
b magnetic to electrical
С
electrical to magnetic
d light to sound

Answers

D light to sound my guy

Answer: it’s actually C, electrical to magnetic

Explanation:

A laser emits a beam of light whose photons all have the same frequency. When the beam strikes the surface of a metal, photoelectrons are ejected from the surface. What happens if the laser emits twice the number of photons per second

Answers

Answer:

the no. of ejected electrons per second will increase.

Explanation:

In photoelectric effect, when a light is incident on a metal surface it ejects some electrons from the metal surface. The energy of photon of light must be equal to or greater than the work function of that metal. All the extra energy above the work potential appears as the kinetic energy of the ejected electrons. So, greater he energy of photon greater will be the kinetic energy of the ejected electrons.

A single photon interacts with a single electron and ejects it only if its energy is greater than work function. So, the increase in no. of photons per second means an increase in the intensity of laser beam. And greater no. of photons, will interact with greater no. of electrons. So, the no. of ejected electrons per second will increase.

A 1.2-kg object moving at 5.0 m/s collides with and sticks to a 4.8-kg object initially at rest. What is the amount of kinetic energy lost by the system during this collision?

Answers

Answer:

-15J

Explanation:

Step one:

given data

m1= 1.2kg

v1= 5 m/s

m2= 4.8kg

v2= 0 m/s

Required

The kinetic energy lost

Step two:

The kinetic energy before impact is KE1

[tex]KE1= 1/2mv^2\\\\KE1= 1/2*1.2*5^2\\\\KE1= 15J[/tex]

KE after impact is KE2

[tex]KE2= 1/2*(m1+m2)v2\\\\KE2= 1/2*(6)0\\\\KE2= 0 J[/tex]

The loss in Kinetic energy is

Loss in KE= KE2-KE1

Loss in KE= 0-15

Loss in KE= -15J

1
(01.04 MC)

Which of the following is true of photosynthesis but not of cellular respiration? (3 points)

Photosynthesis releases oxygen gas as a product.

Photosynthesis occurs in all organisms.

Photosynthesis requires glucose as a reactant.

Photosynthesis is a process in which glucose is broken down.
2.
(01.04 MC)

Which of the following describes the calculation for net primary productivity? (3 points)

Subtracting macronutrients from micronutrients

Adding primary and secondary productivity

Subtracting cellular respiration from gross primary productivity

Multiplying gross primary productivity by cellular respiration
3.
(01.04 LC)

Ecosystems that have a high primary productivity can convert solar energy to biomass rapidly. (3 points)

False

True

Answers

Answer:

1. Photosynthesis releases oxygen gas as a product.

2. Subtracting cellular respiration from gross primary productivity

3. True

Explanation:

1. Photosynthesis is the process by which autotrophic organisms synthesize their food in form of sugars in the presence of sunlight. Photosynthetic process combines carbon dioxide (CO2) and water (H2O) to form glucose (C6H12O6) and oxygen gas as products. The equation is as follows:

6CO2 + 6H2O → C6H12O6 + 6O2

2. Net primary productivity, denoted by NPP, refers to the amount of biomass present in an ecosystem. It can be calculated by subtracting the amount of CO2 lost via cellular respiration from the amount produced called Gross primary productivity (GPP). That is;

NPP = GPP - cellular respiration

3. The process by which organic matter is synthesized from inorganic ones by organisms called AUTOTROPHS or PRIMARY PRODUCERS is called PRIMARY PRODUCTIVITY. Examples of autotrophic organisms are green plants, algae etc. Hence, in an ecosystem that have a high primary productivity, there would be a rapid rate of conversion of solar energy to biomass via PHOTOSYNTHESIS.

Two out-of-tune flutes play the same note. One produces a tone that has a frequency of 248 Hz, while the other produces 288 Hz. When a tuning fork is sounded together with the 248-Hz tone, a beat frequency of 20.0 Hz is produced. When the same tuning fork is sounded together with the 288-Hz tone, a beat frequency of 20.0 Hz is produced. What is the frequency of the tuning fork

Answers

Answer:

F = 268 Hz

Explanation:

The beat frequency is given as:

[tex]Beat Frequency = |Frequency 1 - Frequency 2|\\[/tex]|

So, for the first flute and tuning fork:

[tex]20 Hz = |248 Hz - F|[/tex]

where,

F = Frequency of tuning fork

F = 248 Hz ± 20 Hz

F = 268 Hz (OR) 228 Hz

Now, for the second flute and tuning fork:

[tex]20 Hz = |288 Hz - F|[/tex]

where,

F = Frequency of tuning fork

F = 288 Hz ± 20 Hz

F = 268 Hz (OR) 308 Hz

Since, 268 Hz is common from both calculations. Therefore, it will be the frequency of the tuning fork.

F = 268 Hz

Pls help quick too.................

Answers

Answer:

Pulley = Flag Pole

Screw = Side latch

Wedge = Scissors

Wheel and axle = Car

An upright spring with a 96g mass on it is compressed 2 cm. When
released it travels 60 cm upwards. A) Calculate the spring constant. B)
Calculate its beginning speed when it takes off.

Answers

Answer:

I only know answer A and it's 2825.28 N/m, with rounding it's 2825.5

Explanation:

Use the m*g*h=1/2*k*x^2 equation

96*9.81*60=1/2*k*2^2

5650.56=2k

5650.56/2=2825.28N/m

how are a symbol and a model both examples of a representation?

Answers

Answer:

A symbol and a model are both examples of a representation because they are presented in place of the real thing.

Explanation:

A symbol is a sign, a letter, mark, token, figure, or image used to stand in place of an object, function, or process.  For example, co2 is used in Chemistry to represent carbon dioxide.  There are many symbols representing other objects or meanings.  Mathematically, we can state that "a" equals 40.  "a" is a symbol representing the numerical value "40." Similarly, a model is a representation of a structure or a person on a smaller scale.  For example, Architects produce models of buildings and other projects that they design.

Representation is a defined description or portrayal of any object, person, or anything.

The symbols and models are examples of representation.

Symbols are used as a representation in the form of signs, marks, or images to portray the object or anything. For instance, the symbols such as Ag and Au are used to represent Silver and Gold, respectively.

A model is also a structural or diagrammatical representation of a large object or structure. For example, architects build up maps and charts for the design of the building.

Thus, the symbols and models are used as representations for several things, items, structures, and many more.

To know more about representation, refer to the following link:

https://brainly.com/question/992922

An object is placed on the moveable piston of a cylinder filled with a gas. The object exerts a downward force F on the piston that accelerates the piston downward, compressing the gas. Which of the following is a correct description of the magnitude of the upward force exerted by the piston on the object?

a. The force exerted by the piston on the object is equal to FF.
b. The force exerted by the piston on the object is less than FF because the piston is accelerating downward.
c. The force exerted by the piston on the object is greater than F because the gas exerts an upward force on the piston.
d. The force exerted by the piston cannot be compared to FF without knowing the magnitude of the acceleration of the piston and pressure of the gas.

Answers

Answer:

b. The force exerted by the piston on the object is less than F because the piston is accelerating downward.

Explanation:

Given that object exerts a downward force F on the piston that accelerates the piston downward.

An object can accelerate if the net force acting on it is non-zero.

Here, the piston is acceleration in the downward direction, so the net for on the piston is in the downward direction.

Force due to object, F, is in the downward direction while the force exerted by the piston on the object is in the upward direction.

As the acceleration of the piston is in the downward direction, so the downward force is more.

Therefore, the force exerted by the piston on the object is less than F because the piston is accelerating downward.

Hence, option (b) is correct.

A satellite has a mass of 3.25 x 10^3 kg, while earth has a mass of 5.97 x 10^24 kg

Answers

Answer:

200N ;)

Explanation:

Answer:

200N

Explanation:

What happens to a circuit's resistance (R), voltage (V), and current (1) when

you decrease the length of the wire in the circuit?

O A. Rincreases.

V decreases.

I decreases.

B. R decreases.

Vis constant.

Zincreases

C. Ris constant.

Vincreases.

/ increases.

D. Rincreases.

Vis constant

I decreases

Answers

Answer:

D.

R increases

V is constant

I decreases

Explanation:

The resistance of a wire is given by the following formula:

[tex]R = \frac{(Resistivity)(L)}{A}[/tex]

It is clear from this formula that resistance is directly proportional to the length of wire. So, when length of wire is increased, the resistance of circuit increases.

The voltage in the circuit will be constant as the voltage source remains same and it is not changed.

Now, we can use Ohm Law:

V = IR

at constant V:

I ∝ 1/R

it means that current is inversely proportional to resistance. Hence, the increase of resistance causes the current in circuit to decrease.

Therefore, the correct option will be:

D.

R increases

V is constant

I decreases

A 25-g string is stretched with a tension of 43 N between two fixed points 12 m apart. What is the frequency of the second harmonic?

Answers

Answer:

The frequency of the second harmonic ([tex]2f_o[/tex]) is 11.97 Hz.

Explanation:

Given;

mass of the string, m = 25 g = 0.025kg

tension on the string, T = 43 N

length of the string, L = 12 m

The speed of wave on the string is given as;

[tex]v = \sqrt{\frac{T}{\mu} }[/tex]

where;

μ is mass per unit length = 0.025 / 12 = 0.002083 kg/m

[tex]v = \sqrt{\frac{43}{0.002083} }\\\\v = 143.678 \ m/s[/tex]

The wavelength of the first harmonic wave is given as;

[tex]L = \frac{1}{2} \lambda _o\\\\\lambda _o = 2L \\\\\lambda _o = 2 \ \times \ 12\\\\\lambda _o = 24 \ m[/tex]

The frequency of the first harmonic is given as;

[tex]f_o = \frac{v}{\lambda _o} = \frac{v}{2L} = \frac{143.678}{24} = 5.99 \ Hz\\\\[/tex]

The wavelength of the second harmonic wave is given as;

[tex]L = \lambda_1 \\\\\lambda_1 = 12 \ m[/tex]

The frequency of the second harmonic is given as;

[tex]f_1 = \frac{v}{\lambda _1} = \frac{143.678}{12} = 11.97 \ Hz = 2(\frac{v}{\lambda _0}) = 2f_o[/tex]

Therefore, the frequency of the second harmonic ([tex]2f_o[/tex]) is 11.97 Hz.

HEre now can somebody help!!
Pic is what i need help with

Answers

Answer:

which of the cars are speeding up: c

which of the cars or slowing down: a

which of the cars are maintaning a constant speed: b

Explanation:

Answer:

Explanation:

I gave a good enough explanation in your other posting. I'm sorry that I'm eating up your points.

The orange line is speeding up

The blue line is neither speeding up nor slowing down. It's speed is constant.

The green line is starting from 4 m/s and is slowing down to 0.

The diagram helps a lot. Thank you for that.

When you apply force at an angle to the direction of movement, ____ of the force does work. a. all c. some b. none d. a and b Please select the best answer from the choices provided A B C D

Answers

Answer:

your answer is some

Explanation:

just so you know i took the test and i got an 80% on edge

Two masses sit at the top of two frictionless inclined planes that have different angles,__deleted9917f34947e1359b5705bbac0d9227f8ec5df862078213a2db19c72f00189109deleted__ 0N86-C1-52-40-A837-22820 50% Part (a) What can be said about the speeds of the two masses at the bottom of their respective paths

Answers

Answer:

v = [tex]\sqrt{2gh}[/tex]

the speed in the two planes will be the same since it does not depend on the angle of the same

Explanation:

In this exercise we are told that the two inclined planes have no friction force, so we can apply the conservation of energy for each one, we will assume that the initial height in the two planes is the same

starting point. Highest part of each plane

         Em₀ = U = m g h

final point. Lowest part of each plane

        [tex]Em_{f}[/tex] = K = ½ m v²

as there is no friction, the mechanical energy is preserved

          Em₀ = Em_{f}

          mg h = ½ m v²

          v = [tex]\sqrt{2gh}[/tex]

As we can see, the speed in the two planes will be the same since it does not depend on the angle of the same

I would like to know why this is the correct answer

-The harder a gas pedal in a car is pressed, the faster the car’s velocity increases. Which phrase best describes the relationship between how hard the gas pedal is pressed and the acceleration of the car?

*There is both a positive correlation and causation

Answers

Answer:

see below

Explanation:

First, the obvious, as you press the gas pedal harder the acceleration goes up as well.  Conversely, is you do not press the pedal, you will not accelerate.  This determines that is I press the gas pedal, it will CAUSE the car to accelerate.  This proves causation.

Now, correlation.  The definition of correlation in statistics is any statistical relationship between two random variables or data.  This simply means that these two events are connected to one another.  A POSITIVE correlation is when two correlated events move in the same direction as one another.  I have added a graph to help visualize this.  In this problem as the gas is pressed harder, the acceleration increases.  If the pressure on the pedal was decreased, then the acceleration also decreases.  If the pressure on the pedal is constant, the the acceleration is constant.

I hope this helps!

Is it possible for the velocity of an object to be zero and its acceleration not zero?

Answers

Explanation:

Yes, it is possible to have zero speed while accelerating, but only for a moment. ... acceleration is the rate at which the speed and direction of an object changes over time, so whenever an object goes through zero speed while reversing directions, it has non-acceleration. zero but a speed of zero.

What Initial Velocity would you have to give the Marble to make it hit the ground in 5 s

Answers

Answer:

Traveling 381m in 5 seconds means the average velocity is: 381m/5s = 76.2 m/s.

Explanation:

Letting x be the initial velocity and v the final velocity, we have:

12(x+v)=76.2m/s

and (since v=x+50),

12(2x+50)=76.2m/s

x+25=76.2m/s

x=51.2m/s

Answer:

-49 m/s

Explanation:

You would use the formula vf = vi + at, where vf stands for final velocity, vi stands for initial velocity, a stands for acceleration, and t stands for time. Assuming you're dropping the marble on Earth, the acceleration would be -9.8m/s², and the final velocity would be 0 m/s, as it stops after hitting the ground. (0 = vi + (9.8)(5))

To initiate a nuclear reaction, an experimental nuclear physicist wants to shoot a proton into a 5.50-fm-diameter 12C nucleus. The proton must impact the nucleus with a kinetic energy of 2.30 MeV. Assume the nucleus remains at rest. With what speed must the proton be fired toward the target?

Answers

Answer:

The value is  [tex]u = 3.23 *10^{7} \ m/s[/tex]

Explanation:

From the question we are told that

   The diameter of the nucleus is [tex]d = 5.50 \ fm = 5.50 *10^{-15} \ c[/tex]

   The charge of the proton that makes up the nucleus is  [tex]Q_2 = \frac{12}{2} * 1.60 *10^{-19} =9.6*10^{-19} \ C[/tex]

    The energy to be impacted is  [tex]KE_f = 2.30 \ MeV = 2.30 *10^{6} \ eV = 2.30 *10^{6} * 1.60 *10^{-19} = 3.68*10^{-13} \ J[/tex]

Generally the radius of the nucleus is mathematically represented as

         [tex]r = \frac{d}{2}[/tex]

=>      [tex]r = \frac{5.50 *10^{-15}}{2}[/tex]

=>      [tex]r = 2.75 *10^{-15} \ m[/tex]

Generally from the law energy conservation we have that

     [tex]Initial \ total \ energy \ of the \ proton = final \ total \ energy \ of the \ proton[/tex]

i.e

    [tex]T_i = T_f[/tex]

Here

   [tex]T_i = KE_i + PE_i[/tex]

Here [tex]KE_i[/tex] is the initial kinetic energy which is mathematically represented as

       [tex]KE_I = \frac{1}{2} * m * u ^2[/tex]

Here  [tex]PE_i[/tex] is the initial potential energy of the proton and the value is  0 J given that the proton is moving

Also  [tex]T_f[/tex] is mathematically represented as

         [tex]T_f = KE_f + PE_f[/tex]

Here  

        [tex]PE_f[/tex]  is the final potential energy which is mathematically represented as

         [tex]PE_f = \frac{k * Q_1 * Q_2}{r}[/tex]

Here [tex]Q_1[/tex] is the charge on the proton with a value of [tex]Q_1 = 1.60 *10^{-19} \ C[/tex]

So

        [tex]PE_f = \frac{9*10^{9} *(1.60 *10^{-19} ) * ( 9.6 *10^{-19})}{ 2.75 *10^{-15}}[/tex]

=>     [tex]PE_f = 5.027 *10^{-13 } \ J[/tex]

So  

         [tex]KE_i + PE_i = KE_f + PE_f[/tex]

=>       [tex]\frac{1}{2} * m * u ^2 +0 = 3.68*10^{-13} + 5.027 *10^{-13 }[/tex]

Here m is the mass of the moving proton with value [tex]m = 1.67*10^{-27} \ kg[/tex]

So

       [tex]\frac{1}{2} * 1.67*10^{-27} * u ^2 +0 = 3.68*10^{-13} + 5.027 *10^{-13 }[/tex]

=>      [tex]u = \sqrt{\frac{3.68*10^{-13} + 5.027 *10^{-13 }}{0.5 * 1.67*10^{-27}} }[/tex]

=>       [tex]u = 3.23 *10^{7} \ m/s[/tex]

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