In one of the classic nuclear physics experiments at the beginning of the 20th century, an alpha particle was accelerated toward a gold nucleus, and its path was substantially deflected by the Coulomb interaction. If the energy of the doubly charged alpha nucleus was 2.25 MeV, how close (in m) to the gold nucleus (79 protons) could it come before being deflected

Answers

Answer 1

Answer:

The answer is "[tex]1.01 \times 10^{-13}[/tex]"

Explanation:

Using the law of conservation for energy. Equating the kinetic energy to the potential energy.

[tex]KE=U=\frac{kqq'}{r}\\\\[/tex]

Calculating the closest distance:

[tex]\to r=\frac{kqq'}{KE}\\\\[/tex]

[tex]=\frac{k(2e)(79e)}{KE}\\\\=\frac{k(2)(79)e^2}{KE}\\\\=\frac{9.0\times 10^9 \ N \cdot \frac{m^2}{c}(2)(79)(1.6 \times10^{-19} \ C)^2}{(2.25\ meV) (\frac{1.6 \times 10^{-13} \ J}{1 \ MeV})}\\\\[/tex]

[tex]=\frac{9.0\times 10^9 \times 2\times 79\times 1.6 \times10^{-19}\times 1.6 \times10^{-19} }{(2.25 \times 1.6 \times 10^{-13}) }\\\\=\frac{3,640.32\times 10^{-29}}{3.6 \times 10^{-13} }\\\\=\frac{3,640.32}{3.6} \times 10^{-16}\\\\=1011.2 \times 10^{-16}\\\\=1.01 \times 10^{-13}[/tex]


Related Questions

The Sun's energy comes from which nuclear reaction?​

Answers

The Suns energy comes from Nuclear fusion

Answer:

the sun energy comes from nuclea fution

State any ten reasons why students in Uganda need to study physics.(use examples of the possible technological advancements which can be made using the knowledge of physics)

Answers

Answer:

The answer is "physics ".

Explanation:

Physics is the branch of science that addresses the properties of crystalline and its interaction with the fundamental elements of the universe. It covers subjects ranging in quantum mechanics with extremely little ones with quantum mechanics to the whole cosmos. You must be constant whether you like it or not, thus everyone must learn physics, irrespective of whether they're in Uganda, and plenty of other countries should have physics to dare study.

A boy is moving a stone in a horizontal circle by mean of a thread attached to ut. The length if the threads us 1 m and the weight of the stone is 0.02 kg . The maximum tension of the thread can withstand us 1 ×10 ^-4 N. The boy is gradually increasing the speed if rotation. At what speed if the stone does the thread break ? ​

Answers

Answer:

Explanation:

This is a centripetal force problem where tension supplies the centripetal force needed to keep the stone moving in a circular manner. That formula for that is

[tex]F_c=T=\frac{mv^2}{r}[/tex] and filling in what we know:

[tex]1*10^{-4}=\frac{.02v^2}{1}[/tex] and solve that for v:

[tex]v=\sqrt{\frac{1*10^{-4}}{.02} }[/tex] which gives us a velocity of .07 m/s. Anything greater than this will break the string.

show that pv=nrt has the same unit with energy​

Answers

Answer:

It is proved.

Explanation:

PV = n R T

where,  P is the pressure, V is the volume, n is the number of moles, R is the gas constant, T is  the absolute temperature.

Unit of pressure is Pascal= Newton/square meter = [tex][ML^{-1}T^{-2}][/tex]

Unit of volume is cubic meter = [tex][L^{3}][/tex]

So, the unit of P V

[tex][ML^{-1}T^{-2}] \times [L^{3}]\\\\[ML^2T^{-2}}[/tex]

[tex][ML^{2}T^{-2}][/tex]

It is same as the unit of energy.

hence proved.  

Students were having a catapult contest, launching a tennis ball with their home built devices. The winner launched a ball at 30 degrees from the ground at 6.0 m/s. How high does the ball go?

Answers

Answer:

The height reached by the ball=0.459 m

Explanation:

We are given that

[tex]\theta=30^{\circ}[/tex]

Initial speed, u=6 m/s

We have to find the maximum height reached by ball.

Maximum height reached by ball

[tex]h=\frac{u^2sin^2\theta}{2g}[/tex]

Where [tex]g=9.8m/s^2[/tex]

Substitute the values

[tex]h=\frac{6^2sin^230^{\circ}}{2\times 9.8}[/tex]

[tex]h=\frac{36\times \frac{1}{4}}{2\times 9.8}[/tex]

[tex]h=0.459 m[/tex]

Hence, the height reached by the ball=0.459 m

SINGLE CORRECT OBJECTIVE
Question 9
speed of a moving object is said to be uniform if it covers equal distances in equal interva
time.
о O
ghte
O false
Your Answer:
Next​

Answers

Answer:

True

Explanation:

Formula for speed is;

Speed = distance/time

Now, if an object covers an equal distance in equal time intervals, it means the speed will remain the same.

For example if an object covers 3 m every 1 second it means speed will always be; 3/1 = 3 m/s.

Thus the statement is correct.

Why is it extremely dangerous to attempt to carry out a distillation in a completely closed apparatus

Answers

Answer:

The main reason is to avoid explosion

Explanation:

When we carry out distillation process, it will get to a point where gases/steam are released due to evaporation, if we do not create a channel for exit they will build up in the apparatus and will ultimately lead to explosion

How did the English bill of rights impact the colonists views of government?  A. It established a process by which people could petition the government. B.It stated that freedom of religion should be respected by the government. C. It declared people’s freedom of political speech. D. It asserted that a rulers power are limited by a separate branch of government.

Answers

Answer:

C. It declared people’s freedom of political speech.

Explanation:

The English bill of rights limited the king's power and increased the power of the population. This is because after the declaration of rights, the king should take into account the will of the people so that he could be kept in power. On that occasion, the people should have understood that the king was not an absolute liber and that they had more political freedom to express when they felt the country was not being managed properly. This freedom was also given to the colonists, making them see themselves as an active factor within English politics and not a subordinate factor to the king.

a ball is launched from the ground with a horizontal speed of 30 m/s and a vertical speed of 30 m/s. what is the balls overall speed at the top of its trajectory?

Answers

Answer:

30m/ s

Explanation:

this is an example of a projectile, where the path traced by the ball will be a downward parabola.

one must know that the vertical velocity of an object having projectile motion is zero at the top of its trajectory and that the horizontal velocity remains constant throughout.

this means, at the top of the trajectory the ball's overall speed will be equal to its horizontal velocity.

and horizontal velocity is given 30 m/s

hence, overall speed of the ball = 30m/ s

(c) The metal block had a mass of 1.50 kg
The specific heat capacity of the metal was 900 J/kg °C
Calculate the change in thermal energy of the metal during 240 seconds.
Use the Physics Equations Sheet.
Give your answer in kilojoules.​

Answers

Answer:56

Explanation: I did the test

What is the correct equation for the y axis of object B?

Answers

Answer:

[tex]N_B-W_B = 0[/tex]

Explanation:

There are two forces acting on object B. If we consider the law of equilibrium, then the two forces must be equal in magnitude, for the object to remain in equilibrium position:

[tex]N_B = W_B\\\\N_B-W_B = 0[/tex]

Therefore, the correct answer of the given question, from the given choices, is:

[tex]N_B-W_B = 0[/tex]

Q011) The Doppler effect a. occurs when the frequency of sound waves received is lower if the wave source is moving toward you than if it's moving away. b. occurs when the pitch of a sound gets lower if the source is receding. c. is the basic explanation for the blue shift of light in our Universe. d. can be applied only to sound waves.

Answers

Answer:

Option (c) is correct.

Explanation:

The apparent change in the frequency of light due to the relative motion between the source and the observer is called Doppler's effect.

When the source is moving towards the observer which is at rest, the apparent frequency increases and if the observer is moving away the frequency of sound decreases.

It occurs for both light and sound.  

So, to explain the blue shift of light in the universe is due to the Doppler's effect of light.

why does a desert cooler cool better than a hot dry day​

Answers

On a hot dry day, the amount of water vapour present in atmosphere is less. Thus, water present inside the desert cooler evaporates more, thereby cooling the surroundings more. Hence, a desert cooler cools better on a hot dry day.

Question 5 of 10
A 15 N force is applied to an object, which then accelerates at 5.0 m/s2. What
is the mass of the object?
A. 10 kg
B. 20 kg
C. 75 kg
D. 3.0 kg

Answers

Hi there!

[tex]\large\boxed{D. \text{ } 3.0 kg}}[/tex]

Use the following equation to solve:

F = ma, where:

F = Force (N)

m = mass (kg)

a = acceleration (m/s²)

Thus:

15 = 5m

15/5 = m

mass = 3 kg

D is the correct answer


The designer tested how the number of cells affected the number of steps that could
be taken before the lights stopped working.
Figure 2 shows the results.
Figure 2
1600
1400
1200
1000
Number of
steps in
800
thousands
600
400
200
0
1
5
2 3 4
Number of cells
1
3
Determine how many more steps could be taken when the number of cells was
increased from 3 to 5
[2 marks
Number of steps
=
thousand

Answers

Answer:

1000.

Explanation:

Thousand more steps could be taken when the number of cells was  increased from 3 to 5 because in the data, the number of cells i.e. 5 was achieved on 1000 steps. According to the data, the number of cells i.e. 1 was achieved on 800 steps, the number of cells i.e. 5 was achieved on 1000 steps, the number of cells i.e. 2 was achieved on 600 steps, the number of cells i.e. 3 was achieved on 400 steps and the number of cells i.e. 4 was achieved on 200 steps. So we can say that 1000 steps are needed for the number of cells increased from 3 to 5.

Match the synthetic materials with the processes used to make them.

Answers

we can’t see anything

How does your ear work? 6 mark question

Answers

Answer:

It collects sound waves and channels them into the ear canal (external auditory meatus), where the sound is amplified. The sound waves then travel toward a flexible, oval membrane at the end of the ear canal called the eardrum, or tympanic membrane. Sound waves cause the eardrum to vibrate.

It collects sound waves and channels them into the ear canal (external auditory meatus), where the sound is amplified. The sound waves then travel toward a flexible, oval membrane at the end of the ear canal called the eardrum, or tympanic membrane. Sound waves cause the eardrum to vibrate.                                                                                                               Explanation:

The Outer Ear

The auricle (pinna) is the visible portion of the outer ear. It collects sound waves and channels them into the ear canal (external auditory meatus), where the sound is amplified.

The sound waves then travel toward a flexible, oval membrane at the end of the ear canal called the eardrum, or tympanic membrane. Sound waves cause the eardrum to vibrate.

The Middle Ear

The vibrations from the eardrum set the ossicles into motion. The ossicles are actually tiny bones — the smallest in the human body. The three bones are named after their shapes: the malleus (hammer), incus (anvil) and stapes (stirrup). The ossicles further amplify the sound.

The tiny stapes bone attaches to the oval window that connects the middle ear to the inner ear. The Eustachian tube, which opens into the middle ear, is responsible for equalizing the pressure between the air outside the ear and that within the middle ear.

The Inner Ear

The sound waves enter the inner ear and then into the cochlea, a snail-shaped organ. The cochlea is filled with a fluid that moves in response to the vibrations from the oval window. As the fluid moves, 25,000 nerve endings are set into motion. These nerve endings transform the vibrations into electrical impulses that then travel along the eighth cranial nerve (auditory nerve) to the brain.

The brain then interprets these signals, and this is how we hear.

The inner ear also contains the vestibular organ that is responsible for balance.

An athlete runs around a circular track of radius 50 m and finishes at the same point where he began his journey. His total displacement in metre(s) is evaluated to be

Answers

Answer:

Explanation:

His displacement is 0 because he ended up exactly where he started.

Is torque only produced when the force is applied perpendicular to the moment arm?

Answers

Yes. Only a perpendicular component produces a torque.

The Torque is only produced when the force is applied perpendicular to the moment arm.

What is moment of force?

The equal and opposite force acting at a point from the axis of rotation is called the moment.

M = F x r

Moment of force is also called as Torque.

Moment arm is the distance of the point of application of force from the axis of rotation of the body.

Thus, the perpendicular component only, produces the torque.

Learn more about moment of force.

https://brainly.com/question/6278006

#SPJ2

A fast moving car is moving on a straight road with an acceleration of 2m/s2. How much time will it require to change the velocity from 20m/s to 40m/s.
Please quick

Answers

Answer:

10seconds

Explanation:

use the formula a=v final_v inital/time

is acting on an object that is constrained to move along the x-axis. If the force moves the object 3m, from the origin, what is the potential energy difference due to this force acting on the object

Answers

Answer:

U = - ∫ F dx

U = - 3F₀

Explanation:

Force and potential energy are related

         F = [tex]- \frac{dU}{dx}[/tex]

         dU = - F dx

        ∫ dU = - ∫ F dx

        U- U₀ = - ∫ F dx

to solve the problem we must know the form of the force, if we assume that F = F₀ and U₀ = 0 for x = 0

         U = - F₀ 3

A ball is thrown vertically upward. As it rises, what happens to its potential energy?​

Answers

Answer:

Explanation:

As the ball rises, its PE increases because the potential energy is equal to the mass of the ball times gravity times the height of the ball. The higher the height, the higher the PE.

Answer:

According to the law of conservation of energy its kinetic energy is getting converted in to potential energy because of gain in height. So, if the velocity of a ball goes on decreasing when it is thrown vertically upwards. When its velocity becomes zero, its potential energy becomes maximum.

define acceleration what it's formula​

Answers

Answer:

The definition of acceleration is a change in the rate of motion, speed or action.

hope it helps.stay safe healthy and happy..

Acceleration is the rate of change of velocity.

[tex]acceleration = \frac{(final \: velocity - initial \: velocity)}{time} \\ or \\ a = \frac{(v - u)}{t} \\ \\ The \: S.I. \: unit \: of \: acceleration \: is \: \frac{m}{ {s}^{2} } \: or \: m {s}^{ - 2} [/tex].

My last year's notes on acceleration is attached. Hope it helps you!!

A stream leaving a mountain range deposits a large part of its load in a __

Answers

Answer:

(n) alluvial fan sandbar

Explanation:

what is the value of acceleration due to gravity at the equatorial region of the earth

Answers

Answer:

9.78 m/s^2

Explanation:

Acceleration due to gravity at equator is 9.78m/s^2

A lamp is connected to a 230 V mains supply. A current of 4 A flows through the lamp for 30 seconds.

Answers

Answer:

The energy dissipated is 27600 J.

Explanation:

Voltage, V = 230 V

Current, I = 4 A

time, t = 30 s

The energy is given by

E = V I t

E = 230 x 4 x 30

E = 27600 J

Which items did Mendeleev write down on note cards while he was observing
different elements?
A. Buoyancy
B. Density
C. Color
D. Atomic mass

Answers

Mendeleev wrote down atomic mass

Answer:

A. Buoyancy.

hope it helps

stay safe healthy and happy..

what happens to the force when the distance increases between 2 particales​

Answers

It goes faster or slower because there is more space inbetween

Using atomic weight crystal structure and atomic radius data tabulated inside the front cover compute the theoritical densities of alminuim ,nikel......

Answers

Question

Using atomic weight, crystal structure, and atomic radius data tabulated inside the front cover of thebook, compute the theoretical densities of aluminum (Al), nickel (Ni), magnesium (Mg), and tungsten (W), and thencompare these values with the measured densities listed in this same table. The c/a ratio for magnesium is 1.624.

Explanation:

How does the construction of dams positively affect natural resources?
by providing water for irrigation and restoring trees to areas where forests once existed
by creating reservoirs, preventing flooding, and renewing destroyed ecosystems
by preventing flooding, creating reservoirs, and providing water for irrigation
by renewing destroyed ecosystems and restoring trees to areas where forest once existed

Answers

Other person is incorrect, I did the test on edg.

Answer:  

A. by providing water for irrigation and restoring trees to areas where forests once existed

The construction of dams positively affect natural resources by providing water for irrigation.

What is natural resources?

Natural resources serves as materials thst is found in nature which are used by humans. These natural substances are soil, water.

Therefore, building of dams can help irrigation by using water which is a natural resources.

Learn more about natural resources at;

https://brainly.com/question/24623157

Other Questions
asap help answer --------- Which statement about a right triangle is true?A: The length of each leg equals 1/2 of the hypotenuse.B: The square of the hypotenuse is equal to the sum of the squares of the legs.C: One leg is always longer than the hypotenuse.D: A right triangle can have only one obtuse angle. Suppose a friend is trying to claim that it is summer when Earth is closest to the Sun and winter when Earth is farthest away. Refute this claim in at least two different ways: (1) with an argument that invokes seasonal differences between the Northern and Southern Hemispheres and (2) with an argument based on the times of year at which Earth actually is closest to and farthest from the Sun. Write out your arguments clearly Dominic made the table below to organize his notes about mixtures. A 1-column table. The first column labeled properties of mixtures has entries has no set composition, must have more than one state of matter, must have more than one substance. What mistake did Dominic make? The title should read Properties of Solutions because some mixtures do not have all of the properties listed. There is a definite recipe to make each mixture, so the composition of a mixture is set. Although it is possible to have more than one state, it is also possible to have only one state. A single substance can be used to make a mixture if the substance is composed of more than one element. - During the summer, you work 5 hours a day as a lifeguard at a beach andearn $8 each hour. Use properties of multiplication to find how muchmoney you earn during a 6-day work week. 15.18. Find the area of the region bounded byTCthe curve y = cosx, x=0, x= pi/2 and x-axis. A risk that has become reality in your project has led to a cost increase. You have already used the fundsreserved to handle this risk and have concluded that you need additional funds that the project does nothave. Who is the most likely person or group you need to ask for help? What is the purpose of the quotation in the first paragraph Which is a character of a federal state On December 1, 2020, Junction Company issued at 104, 800 of its 9%, 10-year, $1,000 par value, nonconvertible bonds with detachable stock purchase warrants. Each bond carried two detachable warrants; each warrant was for one share of common stock at a specified option price of $15 per share. Shortly after issuance, the warrants were quoted on the market for $3 each. No fair value can be determined for the bonds without the warrants. Interest is payable on December 1 and June 1. Provide the entry to record issuance of the bonds by Junction Company on December 1, 2020. A spherical cell has a radius of 2.3 m , and the phospholipid bilayer that constitutes its membrane has a thickness of 3.75 nm . At its normal resting state, the outer membrane is at a voltage of 0V, and the inner membrane is at a voltage of -70mV. The dielectric constant of the cell membrane is roughly 9.0. What is the capacitance of the cell? (Note: the surface area of a sphere is 4r2) How many bonds can a carbon atom form?O A. 1B. 2C. 4O D. 3 Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.PLEASE HELP NEED ASAPPPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRRR What blood type(s) would a person need to have in order to be a universal receiver Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that your have proved it in class IX) A compound has a formula mass of 228.0 and an empirical formula of C2H4O3. What is the molecular formula When the United States sends money to Japan to help earthquake survivors, in which account is this transaction recorded What is the amount of the risk premium on a U.S. Treasury bill if the risk-free rate is 2.8 percent and the market rate of return is 8.35 percent Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound What is the range of g?y--.97.6+5+4+3+2+1+.3{4}}-7 -6 -5 -4 -3 -2+++2 3 4 5 6 7-2-3-4+-5-6+77