In the form of radioactive decay known as alpha decay, an unstable nucleus emits a helium-atom nucleus, which is called an alpha particle. An alpha particle contains two protons and two neutrons, thus having mass m

Answers

Answer 1

Answer:

[tex]\mathbf{v_a = 4.06 \times 10^7 \ m/s}[/tex]

Explanation:

[tex]\text{The missing part of the question is attached below.} \\ \\ \text{ mass m = 4u and charge q = 2e. Suppose a uranium nucleus with 92 protons decays into }[/tex][tex]\text{into thorium, with 90 protons, and an alpha particle. The alpha particle is initally at rest at }[/tex][tex]\text{ the surface of the thorium nucleus, which is 15 fm in diameter. What is the speed of the alpha}[/tex][tex]\text{particle when it is detected in the laboratory? Assume the thorium nucleus remains at rest. }[/tex]

[tex]\text{So, from the above infromation;}[/tex]

[tex]radius (r) = \dfrac{15 \ fm }{2}[/tex]

[tex]radius (r) = 7.5 \times 10^{-15} \ m[/tex]

[tex]\text{Using the formula for potential energy}[/tex]

[tex]U = \dfrac{(9\times 10^9 \ Nm^2/C^2)(2(1.6\times10^{-19} \ C ))(90)(1.6\times 10^{-19} C)}{7.5 \times 10^{-13} \ m}[/tex]

[tex]U = 5.529 \times 10^{-12} \ J[/tex]

[tex]\text{Now, the speed of the alpha particle can be estimated from the conservation of energy principle}[/tex][tex]\dfrac{1}{2}mv_a^2= 5.529 \times 10^{-12} J[/tex]

[tex]v_a = \sqrt{\dfrac{2(5.529 \times 10^{-12} \ J)}{4(1.67 \times 106{-37} \ kg)}}[/tex]

[tex]\mathbf{v_a = 4.06 \times 10^7 \ m/s}[/tex]


Related Questions

Which of the following is not a motivation behind taking performance enhancing drugs?
A.Having bigger, stronger muscles B.improving recovery time fir injuries C. Pumping

Answers

Answer:

C. Pumping

Explanation:

???

Answer: Losing weight due to decreased appetite

Explanation: because you guys trust me

How/is climate change/human interaction affecting mutualism

Answers

Most mutualisms involve partnerships between ectothermic organisms. Therefore, they are particularly sensitive to changes in temperature, and most will be strongly affected by climate change. A mutualism will retain stability and function only under a particular set of environmental conditions.

I can give you 50 points.
Freddy is participating in a pumpkin lifting contest. The 68 kg pumpkin starts at rest on the ground. If Freddy exerts a 720N force on the pumpkin, what is the acceleration of the pumpkin as he lifts it off the ground?
Draw a Force Diagram for the pumpkin. Indicate the direction of the sum of the forces.
Draw a Motion Diagram for the pumpkin. Is your motion diagram consistent with your force diagram?
Use Newton’s 2nd Law to find the pumpkin’s acceleration.

Answers

Answer:

Freddy is participating in a pumpkin lifting contest. The 68 kg pumpkin starts at rest on the ground. If Freddy exerts a 720N force on the pumpkin, what is the acceleration of the pumpkin as he lifts it off the ground?

Explanation:

if the mass of the object is doubled and the speed is halved then kinetic energy will change by a factor of:
2
4
1/2
1/4

Answers

Answer:

kinetic energy will change by a factor of 1/2

Option C) 1/2 is the correct answer

Explanation:

Given the data in the question;

we know that;

Kinetic energy = 1/2.mv²

given that mass of the object is doubled; m1 = 2m

speed is halved; v1 = V/2

Now, New kinetic energy will be; 1/2.m1v1²

we substitute

Kinetic Energy = 1/2 × 2m × (v/2)²

Kinetic Energy = 1/2 × 2m × (v²/4)

Kinetic Energy = 1/2 × m × (v²/2)

Kinetic Energy = 1/2 [ 1/2mv² ]

Kinetic Energy = 1/2 [ KE ]

Therefore; kinetic energy will change by a factor of 1/2

Option C) 1/2 is the correct answer

2. Fill in the blanks
a. Two bodies are rubbed against each other they acquire __________and _____________
charges.
b. ___________are transferred from one object to another when two objects are charged by
friction.
c. __________ is a device used to secure tall buildings from the effect of lightning
d. __________charge is obtained by plastic comb when rubbed with dry hair.
e. Lightning is __________ on huge scale

Answers

Answer:

a. Two bodies are rubbed against each other they acquire equal and Opposite charge.

b. Electron are transferred from one object to another when two objects are charged by  friction.

c. Lightening rod is a device used to secure tall buildings from the effect of lightning

d. Negative charge is obtained by plastic comb when rubbed with dry hair.

e. Lightning is natural spark discharge on huge scale.

Hope this helps you. Do mark me as brainliest.

An object has a coefficient of static friction of 0.3 and a normal force of 30 N. Find the force of static friction.

Answers

Answer:

9N

Explanation:

static friction=normal force x coefficient of static friction

so static friction =30N x 0.3= 9N

Explanation:

9N is the static friction

Which two options describe physical properties of matter?

Answers

Answer:

A and B

Explanation:

A.P.E.X

A hot piece of copper is placed in water in an insulated cup. What is the final
temperature of the water and copper?
(Use
me AT: + copperfcoppe, Acoppe: = 0]
m = 0.50 kg water = 4.18 kJ/kg-'c,
m.copper = 0.50 kg, Cropper = 0.386 kJ/kg-°C, Ti copper = 115°C
Tower = 22°C
O A. 30°C
B. 45°C
O C. 39°C
O D. 52°C

Answers

Answer:

38.7 °C.

The final temperature (reached by both copper and water) is 38.7 °C.

So the answer is probably C.

The heat energy lost by the metal piece is equal to the heat gained by the water in the cup. From this concept using calorimetric equation, their final temperature is equal to 30°C.

What is calorimetric equation?

Calorimetric equation states the relation between heat energy absorbed or released by a system with the mass, specific heat capacity and temperature difference of the matter as written below:

q = m c Δ

Given, mass of copper piece = 0.50 kg

mass of water = 0.50 kg

c for Cu = 0.386 KJ/Kg °C

c for water = 0.418  KJ/Kg °C

The heat energy lost by copper metal is equal to the heat energy gained by water. Let T be the final temperature.

then,

0.50 kg × 0.386 KJ/Kg °C × (115°C - T) = 0.50 kg × 0.418 KJ/Kg °C × (T - 22°C).

2.09  (115°C - T)  = 0.193  (T  - 22°C).

2.09 T - 45.98 + 0.193 = 22.195

T = 30°C

Therefore, the final temperature of water and copper piece is 30 °C.

Find more on calorimetry:

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Potential energy is





stored in a state of readiness.


conserved.


energy of motion.


not measurable.

Answers

Answer:

stored in a state of readiness.

Explanation:

Potential energy is stored in a state of readiness.

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

[tex] P.E = mgh[/tex]

Where, P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

PLEASE HELP ME, IT’S URGENT!!!

What is your hypothesis for, “what effect does parachute size have on the rate that the parachute drops?”

Answers

I would say that you may check in ..........g....o...o...g....l....e

Currents exist in the ocean without the need of electric fields.

True
False

Answers

Answer:

True

Explanation:

The answer is true hope this helps

Two protons in a molecule are 4.40 10-10 m apart. Find the electric force exerted by one proton on the other.

Answers

Answer:

F = 1.19 x 10⁹ N

Explanation:

The electrostatic force between the charged particles is given by Colomb's Law as follows:

[tex]F = \frac{kq_{1}q_{2}}{r^{2}}[/tex]

where,

F = Electrostatic force = ?

k = Colomb's constant = 9 x 10⁹ N.m²/C²

q₁ = q₂ = charge on proton = 1.6 x 10⁻¹⁹ C

r = distance between protons = 4.4 x 10⁻¹⁰ m

Therefore,

[tex]F = \frac{(9\ x\ 10^{9}\ Nm^{2}/C^{2})(1.6\ x\ 10^{-19}\ C)(1.6\ x\ 10^{-19}\ C)}{(4.4\ x\ 10^{-10})^{2}} \\\\[/tex]

F = 1.19 x 10⁹ N

A(n)_____ planet is composed of rocky material, has no rings, and is closer to the sun.

Answers

Answer:

A terrestrial planet.

Explanation:

Terrestrial planets (Inner planets) are closer to the sun then outer planets. No inner planet has rings and they are all composed of rocky material.

A terrestrial planet  planet is composed of rocky material, has no rings, and is closer to the sun.

What is terrestrial planet?

Terrestrial planets are Earth-like planets having a hard surface consisting of rocks or metals. A molten heavy-metal core, few moons, and topographical features like valleys, volcanoes, and craters are also characteristics of terrestrial planets.

Mercury, Venus, Earth, and Mars are the four terrestrial planets in our solar system, and they also happen to be the four nearest to the sun.

There may have been more terrestrial planetoids during the solar system's formation, but they either combined or were obliterated.

The planets are not entirely terrestrial. Gas giants, also referred to as Jovian planets, include Jupiter, Saturn, Uranus, and Neptune in our solar system.

Hence, a  terrestrial planet  planet is composed of rocky material, has no rings, and is closer to the sun.

Learn more about terrestrial planets here:

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Sam, whose mass is 78 kg , stands at the top of a 11-m-high, 110-m-long snow-covered slope. His skis have a coefficient of kinetic friction on snow of 0.07. If he uses his poles to get started, then glides down, what is his speed at the bottom

Answers

Answer:

v = 8.09   m/s

Explanation:

For this exercise we use that the work done by the friction force plus the potential energy equals the change in the body's energy.

Let's calculate the energy

       

starting point. Higher

         Em₀ = U = m gh

final point. To go down the slope

         Em_f = K = ½ m v²

The work of the friction force is

         W = fr L cos 180

to find the friction force let's use Newton's second law

Axis y

        N - W_y = 0

        N = W_y

X axis

        Wₓ - fr = ma

let's use trigonometry

        sin  θ = y / L

         sin θ = 11/110 = 0.1

         θ = sin⁻¹  0.1

          θ = 5.74º

         sin 5.74 = Wₓ / W

         cos 5.74 = W_y / W

         Wₓ = W sin 5.74

         W_y = W cos 5.74

the formula for the friction force is

         fr = μ N

         fr = μ W cos θ

Work is friction force is

         W_fr = - μ W L cos θ  

Let's use the relationship of work with energy

        W + ΔU = ΔK

         -μ mg L cos 5.74 + (mgh - 0) = 0  - ½ m v²

        v² = - 2 μ g L cos 5.74 +2 (gh)

        v² = 2gh - 2 μ gL cos 5.74

let's calculate

        v² = 2 9.8 11 - 2 0.07 9.8 110 cos 5.74

        v² = 215.6 -150.16

        v = √65.44

        v = 8.09   m/s

The three inclines have the same height and they are all frictionless, but they have different angles. Which object will have the highest speed at the bottom of the incline

Answers

Answer:

the speed of the body must be the same for the three hills regardless of their slope

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

Explanation:

To shorten the answer to this exercise, let's use the concept of conservation of energy

starting point. Highest point of the hill

         Em₀ = U = m h y

final point. Lower part of the hill

         Em_f = K = ½ m v²

as there is no friction the mechanical energy is conserved

         Em₀ = Em_f

         mg y = ½ m v²

         v = [tex]\sqrt{2gy}[/tex]

Let's analyze this result, we see that the speed at the bottom of the hill depends only on the height of the hill, not on the slope, so the speed of the body must be the same for the three hills regardless of their slope

Sound travels on air molecules.

True

False

Answers

Answer:

I think the answer is true.

Explanation:

True because sound is a type of energy made by vibrations

What is the frequency of a wave travelling at 45.45 m/s with a wavelength of 2 m?

Answers

Answer:

22.73 Hz

Explanation:

Frequency = 45.45/2 = 22.73 Hz

What would happen to the identity of a fluorine atom if it gained 4 protons

Answers

Answer:

a fluorine atom has 9 protons and 9 electrons, so it is electrically neutral. If a fluorine atom gains an electron it will become a fluoride ion with an electric charge of -1

student builds a simple circuit with a single resistor with resistance R and measures an electric potential difference ΔV across the resistor. Then, the student replaces the resistor with a new one of resistance 2R and keeps the electric potential difference the same. What is the current (I2) through the new circuit in terms of the original current​(I1)?              6mks

Answers

Answer:

 i₂ = ½ i₁

Explanation:

Let's write ohm's law for the first statement

           V = i₁ R

            i₁ = V / R

tells us that we change the resistance to R '= 2R

let's write ohm's law

            V = i₂ R’

indicates that V remains constant

            i₂ = V / R '

            i₂ = V / 2R

            i₂ = ½ V/R

we substitute

            i₂ = ½ i₁

Give 2 examples of situations in which environmental values could come into conflict with other values

Answers

Answer:

Example of situations in which environmental values could come into conflict with other values, such as economy values of family values, include deciding whether or not a businessman should fly across the country for a meeting or whether a family should buy a gas car or an electric car.

Calculate the magnetic field at 2m from a straight wire carrying a current of 5 A. (K = 2 x 10 ^-7)

Answers

Answer:

[tex]B=5\times 10^{-7}\ T[/tex]

Explanation:

Given that,

Current in a wire, I = 5 A

We need to find the magnetic field at 2m from a straight wire carrying a current of 5 A.

The magnetic field due to a wire is given by :

[tex]B=\dfrac{\mu_0I}{2\pi r}\\\\B=\dfrac{4\pi \times 10^{-7}\times 5}{2\pi \times 2}\\\\B=5\times 10^{-7}\ T[/tex]

So, the required magnetic field is [tex]5\times 10^{-7}\ T[/tex].

Is water a element or compound

Answers

Answer:

compound

Explanation:

water is made up of oxygen (O) and hydrogen (H) therefore making it a compound (H2O)

Mass of 23.94kg and volume 2.10 cubic centimeters. Calculate the density of the copper wire in si units (ų/mm cubic)

Answers

Answer:

Density = 1.14 kg/mm³

Explanation:

Given the following data;

Volume = 2.10 cm³ to mm = 2.10 * 10 = 21 mm³

Mass = 23.94kg

To find the density;

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the equation;

[tex]Density = \frac{mass}{volume}[/tex]

Substituting into the equation, we have;

[tex]Density = \frac{23.94}{21}[/tex]

Density = 1.14 kg/mm³

The power in our homes and buildings cycles at a frequency of 60Hz. If someone accidentally dropped a power line into a holding tank for frogs their muscles would immediately become stiff. This is because the high frequency stimuli is causing

Answers

Answer:

The answer is "Rigor mortis".

Explanation:

When the very large volume will be that the progress of its postponed by calcium and magnesium. The causes brain intensification of a liver due to the change throughout the myofibrils within a week of dying of its organism. When anyone accidentally spilled a power cable into a rank for toads, one's tissue will be disrupted instantly by stringent deaths.

This is because the high frequency stimuli of the power line is causing rigor

mortis.

Rigor mortis is referred to as the stiffening of the body of animals when they

die and is usually caused by the body's glycogen and  ATP concentration

diminishing.

Rigor mortis can also be caused by a high frequency stimuli such as

exposure to electric current which hastens the conditions that causes it to

occur.

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Two wires each carry 10.0 A of current (in opposite directions) and are 2.50 mm apart. What is the magnetic field 37.0 cm away at point P, in the plane of the wires

Answers

Answer:

see answer below

Explanation:

Before we do any kind of calculation, we need to convert the proper units of the exercise. All the units of distance must be in meters, so, let's change distance of the wire, and the magnetic field to meters:

Separation between the wires are 2.5 mm:

2.5 mm * (1 m / 1000 mm) = 0.0025 m

The distance of P from the bottom of the wires is 37 cm:

37 cm * (1 m/100 cm) = 0.37 m

The distance of P from the top of the wires is just the sum of the two distances:

R = 0.37 + 0.0025 = 0.3725 m

Now that we have the distance, we can determine the magnetic field, using the following expression:

B = B(bottom) - B(top)   or just B₂ - B₁

And B = μ₀ I / 2πR

Replacing in the above expression we have:

B = μ₀ I / 2π ( 1/R₂ - 1/R₁)

Now we can determine the magnetic field:

B = (4πx10⁻⁷ * 10 / 2π) (1/0.37 - 1/0.3725)

B = 3.63x10⁻⁸ T

Which means that the magnetic field is out of the page.

Hope this helps

the focal length of a concave mirror is 15cm. Calculate the image distance if an object is placed at the center of curvature​

Answers

Answer:

-15

Explanation:

1- If a skater travels 50 miles in one hour, what is the skaters speed?

2- A biker travels 10 miles in two hours, what is his speed?

3- A driver is going 42 miles in a 15 mph school zone and is pulled over by a police officer. The speed the driver was driver is known as what type of speed?

Answers

1. The skater is traveling at 50 mph
2. The biker is traveling at 5 mph
3. The speed of the driver is known as accelerative speed (i dont know if this last one is right but the other 2 should be)

which of the following can cause skin cancer and which can't?

Campfire
Flashlight
Lamp
Sun
Tanning bed
fluorescent light bulbs

Answers

Sun
Tanning bed
Fluorescent light bulbs

Imagine that you have three circuit elements: a single bulb, a piece of wire, and a battery. You start by keeping these three elements separate and unconnected. You use a voltmeter to measure the voltage across each of the three elements. Then, you connect the bulb, wire, and battery together to form a complete circuit, so that the bulb lights up. You repeat the measurements you made before, using the voltmeter to measure the voltage across each element while it is in the complete circuit. For the questions below, assume that the battery and the wire are ideal.

a. Compare the voltage across the battery: a) when the battery is by itself vs b) when the battery is part of the complete circuit. Is the voltage across the battery different in these two situations, or is the voltage the same? Explain your answer.
b. Compare the voltage across the bulb: a) when the bulb is by itself vs b) when the bulb is part of the complete circuit. Is the voltage across the bulb different in these two situations, or is it the same? Explain.
c. Now compare the voltage across the piece of wire: a) when the wire is by itself vs b) when the wire is part of the complete circuit. Is the voltage across the piece of wire different in these two situations, or is it the same? Explain your answer.
d. Now consider only the situation in which the battery, wire, and bulb have been arranged to form a complete circuit in which the bulb lights up. For this situation, rank i) the voltage across the battery, ii) the voltage across the bulb, and iii) the voltage across the piece of wire, according to their absolute values, from greatest to smallest. If any are the same, or if any are zero, state that explicitly. Explain your reasoning.

Answers

Answer:

A)  two voltages are equal, B) the two voltages are different

C) voltage is the same V = 0, D)  V_{battery} = V_{Lamp} > V_{wire}

Explanation:

For this exercise, it is asked to build a circuit with the plug, the lamp and the battery, the circuit must be a series circuit

Before connecting the battery voltage is Vo as they indicate that it is ideal there are no losses, the voltages of the other elements are zero.

A) Voltages battery

a) single battery Vo

b) the battery is connected to the lamp this takes something current, but the electromotive force does not change therefore the voltage is Vo; This is because the battery's energy comes from a chemical reaction of the elements inside it.

in summary the two voltages are equal

B) voltage Lamp

a) when the bulb is single, its voltage is zero V = 0

since it has no energy

b) when in the circuit V = V₀ - V_r

where V_r is the voltage across the wire, due to its resistance, the energy for these voltages is given by the battery

in this case the two voltages are different

C) the voltage across the wire

a) unconnected V = 0

b) connected V = V₀ - V_L

where V_L is the voltage across the lamp due to its resistance

we can write the wire voltage

                V_r = i R

as they indicate that the wire is ideal, its resistance is zero R = 0, consequently

               V_r = 0

the voltage is the same V = 0

D) circuit voltage

 For this part we must write Ohm's law for this circuit

            V₀ = V_L + V_r

where V₀ is the battery voltage, V_L and V_r are the voltage of the lamp and the wire, respectively.

The voltage of each element is

                   V_L = i R_L

                   V_r = i R

This is a series circuit so the current is also constant

                 V₀ = i (R_L + R)

therefore the voltage in the battery is the highest V₀

the voltage across the wire if it is ideal is zero V_r = 0, if it is ideal its resistance is zero

therefore the voltage on the lamp is equal to the voltage of the battery

          V_{battery} = V_{Lamp} > V_{wire}

A brown bear runs at a speed of 9.0 m/s with 23, 000 J of kinetic energy.

What is the bear's mass?
Round answer to two significant digits.
Please help!

Answers

Answer:

mass =  0.5679 Kg

hope this helps!

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On a recent day the difference between the lowest temperature at the highest temperature of the day was 9*C. By how many degrees fahrenheit did the temperature change This figure was broken into a triangle and a rectangle asshown.Use the figures to complete the statementsThe height of the triangle h is __ cmThe area of the triangle is __ cmThe area of the rectangle is __ cmThe area of the irregular figure is __ cm Two rectangular properties share a common side. Lot A is 12.5 meters wide and 6.8 meters long. The perimeter of the lots is 47 square meters. How many feet wide is Lot B (what is the value of x)? a 27.7 meters b 5.7 meters c 4.2 meters d 8.4 meters Which of the following particle diagrams represents a mixture? Theratioof boys to girls in a certain school is 5:6. If there are 420 girls, how many boys are there?(put solution) Which of the following best explains the internets homogenizing effect on global language patterns According to Wegeners hypothesis of continental drift, _______the continents do not moveEarth is slowly cooling and shrinkingthe continents were once joined together in a single landmassEarths surface is made up of seven major landmasses A sample of oxygen gas has a volume of 130.0 ml when its pressure is 0.952 atm. What will the volume of the gas beat a pressure of 0.974 atm if the temperature remains constant? If x^2 + y^2 = 10 and xy = -3, what is the valueof (x - y)^2?A) 12B) 16C) 20D) 25 Find the value of 14/6 who is the first president is europe A cyclist averages 11 miles per hour. How many miles does the cyclist ride in 4.5 hours? can anyone help pls rlly ez Many saw Natives as peoples that were savages and needed to be converted to Christianity or pushed off the land. Political, economic, or social :) solve this problem as a fraction in the lowest terms why hydrogen and oxygen atoms are more stable when they form bonds in a water molecule? Which of the following does not correctly describe Charles Dickens? How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper? what were two causes for greek style cities developing throughout the mediterranean world ? a is a symbol usually a letter used to represent a number