Consider an electron confined in a region of nuclear dimensions (about 5 fm). Find its minimumpossible kinetic energy in MeV. Treat this problem as one-dimensional, and use the relativistic relationbetweenEandp. Give your answer to 2 significant figures. (The large value you will find is a strongargument against the presence of electrons inside nuclei, since no known mechanism could contain anelectron with this much energy.)

Answer:

y = 2.56  10⁻² m

Explanation:

The resolution of this telescope is given by the Rayleigh criterion, for the phenomenal diffraction the first minimum for a linear slit is in

              a sin θ = λ

in general the angles are very small, so we approximate

              sin θ = θ

we substitute

              θ = λ / a

in the case of circular slits we must use polar coordinates, which introduces a numerical factor, leaving the equation

             θ = 1.22 \(\frac{\lambda }{D}\)

where D is the diameter of the circular opening

In this case they indicate the lens diameter D = 2.4 m, the observation distance r = 90.4 km = 90.4 10³ m

how angles are measured in radians

            θ = y / r

we substitute

              y / r = 1.22\frac{\lambda }{D}

              y = 1.22 \frac{\lambda r }{D}

let's calculate

             y = \(1.22 \frac{ 557 \ 10^{-9} \ \ 90.4 \ 10^{3} }{2.4}\)

             y = 2.56  10⁻² m

this is the minimum distance that can differentiate two objects on Earth

Answer:

x-component of velocity: 7.5 m/s

y-component of velocity: 13 m/s

Explanation:

This problem is pure trigonometry. Assuming you know trig, there are only a couple of steps to solving this problem. First, split the velocity into components; recall that any vector not directed along an axis has x and y components. Then, remember that sinΘ = opposite/hypotenuse. Applying this to your scenario, you get sin60° = vy/15. Multiplying this out gives you vy=15sin60. Put this into a calculator (make sure it's set to degree mode because the angle in this problem is in degrees) and you should get 12.99, which you can round up to 13 m/s. This is the velocity in the y-direction.

The procedure to find the x-velocity is very similar, but instead of using sine, we will use the cosine of theta. Recall that cosΘ=adjacent/hypotenuse. Once again plugging this scenario's numbers into that, you end up with cos60 = vₓ/15. Multiplying this out gives you vₓ = 15cos60. Once again, plug this into your calculator. 7.5 m/s should be your answer. This is the velocity in the x-direction.

By the way, a quick way to find the components of a vector, whether it's velocity, force, or whatever else, is to use these functions. Generally, if the vector points somewhere that's not along an axis, you can use this rule. The x-component of the vector is equal to hypotenuse*cosΘ and the y-component of the vector is equal to hypotenuse*sinΘ.

Number of revolutions completed by the body in one second is called frequency of revolution.

Given:

The volume of a helium balloon: 8.89 liters or 0.00889 cubic meters

The density of helium: 0.177 kilograms per cubic meters

The density of the air: 1.29 kilograms per cubic meters

To find:

a) weight of the helium inside the balloon.

b) the buoyant force exerted on the balloon.

c) the net force on the balloon.

d) number of identical balloons needed to lift a child of mass 24.9 kilograms.

Explanation:

a)

The expression for the density of the balloon is:

Rearrange the above expression to find the mass of the helium.

Substitute the values from the given data, we get:

Thus, the mass of the helium is 0.001573 kg.

The weight of an object is the product of its mass and gravitational acceleration. Thus, the weight of helium is

here, g is the acceleration due to gravity.

Substitute the values, and we get:

The weight of helium is 0.001542 Newtons.

b)

The expression for buoyant force is:

here, ρ is the density, g is the acceleration due to gravity and V is the volume.

To find the buoyant force exerted by helium on the balloon, substitute the values for helium in the above equation.

The buoyant force exerted on the baloon is 0.01542 Newtons.

c)

The buoyant force exerted by the balloon is 0.01542 N and it acts in an upward direction. Whereas, the other force acting on the balloon is the force due to gravity, the weight of the balloon. The weight of the balloon is 0.01542 N and is always acts in the downwards direction.

Since the magnitude of buoyant force exerted on a balloon is equal to the weight of the balloon. Both these forces are acting in opposite directions. Thus the net effect will be zero.

Thus, the net force acting on the balloon is 0 Newtons.

d)

For a helium balloon, 1 liter of helium can lift 1 gram of mass.

The mass of the child is 24.9 kg = 24900 grams.

Thus, to lift a child of mass 24900 grams, 24900 liters of helium is required.

Now, one balloon contains 8.89 liters of helium, thus for 24900 liters of helium volume, the number of ballons required will be,

Rearranging above equation to find n, we get

Thus, approximately 2801 helium balloons are required to lift a child of mass 24.9 kg.

Final answer:

a) The weight of helium is 0.001542 Newtons.

b) The weight of helium is 0.001542 Newtons.

c) The net force acting on the balloon is 0 Newtons.

d) Approximately 2801 helium balloons are required to lift a child of mass 24.9 kg.

Explanation:

Unbalanced Forces in Action

Unbalanced forces can change the motion of an object in two ways. ... Second, when unbalanced forces act on a moving object, the velocity of the object will change. Remember that a change in velocity means a change in speed, direction or both speed and direction.

Suppose that, in the x-y plane, the first car is moving to the right so that its velocity is given by the vector

v₁ = (14 m/s) i

and the second car is moving upward so that its velocity vector is

v₂ = (20 m/s) j

Then the total momentum of two cars before their collision is

m₁v₁ + m₂v₂ = (1400 kg) (14 m/s) i + (2300 kg) (20 m/s) j

= (19,600 i + 46,000 j) kg•m/s

Their momentum after the collision is

(1400 kg + 2300 kg) v = (3700 kg) v

where v is the velocity vector of the wreckage.

By conservation of momentum,

(19,600 i + 46,000 j) kg•m/s = (3700 kg) v

Let a and b be the horizontal and vertical components of v, respectively. Then

19,600 kg•m/s = (3700 kg) a   ⇒   a ≈ 5.2973 m/s ≈ 5.3 m/s

46,000 kg•m/s = (3700 kg) b   ⇒   b ≈ 12.4324 m/s ≈ 12 m/s

so that the final speed of the wreckage is

||v|| = √(a² + b²) ≈ 13.5139 m/s ≈ 14 m/s

Answer:

Take a rubber kick ball and a bowling ball. What happens if you throw them both off a bridge? Despite having the same shape as the rubber ball, the bowling ball has a lot more mass and falls faster. Why? Because the bowling ball's speed, combined including its form, provides a resistive force in the direction it's traveling; because the bowling ball weighs more, the force Earth's gravity pulls on it is greater - and it takes more air resistance to reach terminal velocity than the rubber ball; and because the bowling ball weighs more, the force Earth's gravity pulls on it is greater - and it takes more air pressure to reach terminal velocity than the rubber ball.

With the same area but substantially less mass, the rubber ball requires less resistance to slow down to terminal velocity.

If sample of silver and lead each had volumes equal to 1ml, Lead would have the greater mass, and the difference in the masses would be around 0.84grams

The mass of a physical body is a measure of its entire makeup. This also measures inertia, or the body's resistance to acceleration (change in velocity) in the presence of a net force.

The basic mass unit in the SI is the kilogram (kg)

The Density of Silver = 10.5 g / cm^3

The Density of Lead = 11.34 g / cm^3

So the masses given  volume of 1 cm^3 is:

mass of Silver = 10.5 grams

mass of Lead = 11.34 grams

So we see that Lead has greater mass for similar volume.

On solving the given problem we get

The difference is

11.34 – 10.5 = 0.84 grams

To know more about masses visit:

https://brainly.com/question/15959704

#SPJ9

Answer:

D. Wavelength

Explanation:

An infrared (IR) and ultraviolet (UV) wave propagating through a vacuum must have the same wavelength.

Answer:

(55-0)/10 --> 55 m/s / 10 s --> 5.5 m/s^2

Explanation:

I WANT U TO PARK THAT BIG MACK TRUCK, RIGHT IN THIS LITTLE GRAGE

Acceleration of an object is velocity divided by time. Acceleration of the car travels in 55 m/s in 10 seconds is 5.5 m/s².

Acceleration is a physical quantity measuring the rate of change in velocity of a moving object.  Acceleration is a vector quantity having both magnitude and direction.

Thus, a change in velocity by magnitude or direction or in both make acceleration in the  object. It is the ratio of change in velocity to the change in time.

Given the final velocity = 55 m/s

time = 10 s

since the initial velocity is zero, change in velocity and time be 55 m/s and 10 s respectively.

acceleration = 55 /10 = 5.5 m/s²

Therefore, the acceleration of the car is 5.5 m/s².

Find more on acceleration:

https://brainly.com/question/12550364

#SPJ2

The electron configuration of an element with atomic number 15 is 3s² 3p⁵.

The electron configuration of an element with atomic number 15 (which corresponds to the element phosphorus) can be determined by following the Aufbau principle and the Pauli exclusion principle. The Aufbau principle states that electrons occupy the lowest energy levels available, while the Pauli exclusion principle states that each orbital can hold at most two electrons with opposite spins.

Starting with the first energy level, we fill in the electrons for each subsequent energy level until we reach the 15 electrons of phosphorus: 1s² 2s² 2p⁶ 3s² 3p⁵

To know more about electron configuration visit:-

brainly.com/question/30784604

#SPJ1

If a 5kg mass starts from rest at xo = -1 and moves under the action of a variable force F(x) = √1-x² to point xf = 1. Then the total work done by the force is equal to π/2 + 1.

To calculate the total work done by the force in this scenario, we can use the formula for work:

Work = ∫F(x) dx

where F(x) is the force as a function of position and dx represents an infinitesimal displacement.

In this case, the force is given by F(x) = √(1 - x²), and we need to find the total work done as the object moves from xo = -1 to xf = 1.

Let's break down the calculation step by step:

Write the integral for work:

Work = ∫F(x) dx

Substitute the given force:

Work = ∫√(1 - x²) dx

Integrate with respect to x:

To integrate the square root of (1 - x²), we use the trigonometric substitution. Let's substitute x = sin(θ) and dx = cos(θ) dθ.

Work = ∫√(1 - sin²(θ)) cos(θ) dθ

Simplify the integrand:

Using the trigonometric identity sin²(θ) + cos²(θ) = 1, we can rewrite the integrand as cos²(θ).

Work = ∫cos²(θ) dθ

Apply the power-reducing formula:

The power-reducing formula states that cos²(θ) = (1 + cos(2θ)) / 2. We can use this formula to simplify the integrand further.

Work = ∫(1 + cos(2θ))/2 dθ

Integrate the terms separately:

Work = (1/2) ∫dθ + (1/2) ∫cos(2θ) dθ

The first integral, ∫dθ, is simply θ, and the second integral, ∫cos(2θ) dθ, can be calculated as sin(2θ)/2.

Work = (1/2) θ + (1/2) (sin(2θ)/2) + C

Evaluate the integral limits:

To find the total work done, we need to evaluate the integral at the upper and lower limits of integration.

At xf = 1, the angle θ is π/2, and at xo = -1, the angle θ is -π/2.

Work = (1/2) (π/2) + (1/2) (sin(2(π/2))/2) - [(1/2) (-π/2) + (1/2) (sin(2(-π/2))/2)]

Simplifying further:

Work = π/4 + (1/2) - (-π/4 + (1/2))

Work = π/4 + 1/2 + π/4 + 1/2

Work = π/2 + 1

Therefore, the total work done by the force is equal to π/2 + 1.

To learn more about Workdone click:

brainly.com/question/28172139

#SPJ1

The steps/guidelines for preventing quackery and fraud when shopping are :

Quackery involves the claim of knowledge and provision of a fake and dishonest service to unsuspecting customers or clients and this is very common in medicine.

Fraud is the false representation of a material or service in order to cause loss of money or pain to an unsuspecting client or customer. some steps to prevent fraud are as follows :

Hence we can conclude that The steps/guidelines for preventing quackery and fraud when shopping are as listed above

Learn more about Fraud : https://brainly.com/question/1260589

Metals are good conductor of electricity while plastics are bad conductors of electricity.

Thus, the statement D Metals and plastic are poor conductors is false.

Hence the correct option is D.

Answer:

Disease are caused by micro organisms

All objects in the universe are attracted to one another

species evolved through natural selection

The scientific facts from the given list are,

Microorganisms that are too tiny to be seen with the bare eye are the primary cause of many illnesses.

The force of gravity draws all objects in the cosmos toward one another.

Natural selection is the process through which species change.

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

Microorganisms that are too tiny to be seen with the bare eye are the primary cause of many illnesses.

The force of gravity draws all objects in the cosmos toward one another.

Natural selection is the process through which species change.

Therefore options A, B, and C are scientific facts.

Learn more about the science here, refer to the link;

https://brainly.com/question/18186842

#SPJ2

Answer:

the canoe moved 1.2234 m in the water

Explanation:

Given that;

A man whose mass = 69 kg

A woman whose mass = 52 kg

at opposite ends of a canoe 5 m long, whose mass is 20 kg

now let;

x1 = position of the man

x2 = position of canoe

x3 = position of the woman

Now,

Centre of mass = [m1x1 + m2x2 + m3x3] / m1 + m2 + m3

= ( 69×0 ) + ( 52×5) + ( 20× 5/2) / 69 + 52 + 20

= (0 + 260 + 50 ) / ( 141 )

= 310 / 141

= 2.19858 m

Centre of mass is 2.19858 m

Now, New center of mass will be;

52 × 2.5 / ( 69 + 52 + 20 )

= 130 / 141

= 0.9219858 m  { away from the man }

To get how far, the canoe moved;

⇒ 2.5 + 0.9219858 - 2.19858

= 1.2234 m

Therefore, the canoe moved 1.2234 m in the water

The canoe move in the water will be 1.2234 m. The canoe move depending on the center of mass of the bodies.

The center of mass of an item or set of objects is a place specified relative to it. It's the average location of all the system's components, weighted by their mass.

The centroid is the location of the center of mass for simple rigid objects with homogeneous density. The center of mass of a uniform disc shape, for example, would be at its center.

The given data in the problem is;

m₁ is the mass of man = 69 kg

m₂ is the mass of woman whose= 52 kg

m₃ is the mass  of  canoe =  20 kg

L is the length of canoe = 5 m

x₁ is the position of the man

x₂ is the position of the canoe

x₃ is the position of the woman

The center of mass will be;

\(\rm COM= \frac{[m_1x_1 + m_2x_2 + m_3x_3]}{ m1 + m2 + m3} \\\\ \rm COM= \frac{[69 \times 0 +52 \times 5 + 20 \times 2.5]}{ 69+ 52 + 20} \\\\ \rm COM= (0 + 260 + 50 ) / ( 141 )\\\\ \rm COM = 310 / 141 \\\\ \rm COM = 2.19858 m\)

The new center of mass is;

\(\rm COM= \frac{52 \times 2.5 }{69+52+20} \\\\ \rm COM=\frac{130}{141} \\\\ \rm COM= 0.9219 m\)

The distance to find how the canoe moved will be found by;

\(\rm x= 2.5+0.9219-2.1985 = 1.2234\)

Hence the canoe move in the water will be 1.2234 m.

To learn more about the center of mass refer to the link;

https://brainly.com/question/8662931

Answer:250-200l Water

Explanation:

Here is a draft of the worksheet for the three main plate boundary types:

Plate Boundary (Movement)      Convergent (Colliding)

Diagram

        ||

        ||

        ||

Lithosphere (Created or Destroyed)  

       Created

Geologic Process      Mountain building

Real World Example

        Himalayas (Along India-Eurasia plate boundary in Asia)

References        

APA reference for research      

Plate Boundary (Movement)        Divergent (Separating)

Diagram

          |||||

Lithosphere (Created or Destroyed)      

        Destroyed  

Geologic Process        

         Volcanic eruptions and rift valleys

Real World Example  

        Mid-Atlantic Ridge (Between North America and Europe plates)

References        

         APA reference          

Plate Boundary (Movement)     Transform (Sliding)

Diagram

          |||||||||

Lithosphere (Created or Destroyed)  

       Neither          

Geologic Process  

       Earthquakes

Real World Example        

         San Andreas Fault (California, USA along Pacific-North America plates)

References

          APA reference

Answer:Which type of wave vibrates parallel to the direction the energy travels, like a slinky ... ex: Rainbow is composed of different frequencies of visible light ... ex: sledding down a hill - potential energy TRANSFORMS into kinetic energy ... C mechanical. D heat. B Chemical energy is energy stored in the bonds of a chemical ...

Explanation:

Given data

*The given total resistance R = 220.0 Ω

*The given peak value of the current is I_max = 1.72 A

*The given frequency is f = 60 Hz

(a)

The formula for the rms current is given as

Substitute the known values in the above expression as

(b)

The rms voltage across the resistance is calculated as

(c)

The average power dissipated in the circuit is calculated as

(d)

The expression for the AC current as the function of time is given as

A fundamental particle with no electric charge and a spin of one-half is called an electron neutrino (v).

The subatomic particle known as a neutrino resembles an electron in many ways, but it differs in that it lacks an electrical charge and has a very small mass that may even be zero. One of the cosmological particles with the highest density is the neutrino. However, they are exceedingly difficult to find because they barely interact with matter.

Small, almost massless particles known as neutrinos move at speeds close to light. They are phenomenally common in the universe and can move through lead as readily as we do through air. They are the product of intense astronomical events like exploding stars and gamma ray bursts.

A flat recoil energy spectrum is the result of monoenergetic electron neutrinos scattering from electrons.

To learn more electron neutrino refer to:

https://brainly.com/question/518346

#SPJ1

Answer: 3,4,1,2,5

Explanation:

a. the landing ramp should be placed at 276.298 ft horizontally from the launch point.

(b) the angle of the landing ramp is 30°.

(a)

Launch speed = 55.0 mph * (1.467 ft/s)

= 80.685 ft/s

Horizontal distance = Launch speed * Time of flight

Vertical velocity = Launch speed * sin(30.0°)

Time to reach maximum height = Vertical velocity / g

Vertical distance = (1/2) *g * t²

and Time = √(2 * Vertical distance / g)

Total time of flight = 2 * Time to reach maximum height + Time for descent

Horizontal distance = Launch speed * Total time of flight

The Vertical velocity = 80.685 ft/s * sin(30.0°)

= 40.3425 ft/s

Time to reach maximum height = 40.3425 ft/s / 32.2 ft/s²

Time to reach maximum height  = 1.253 s

Time of descent = √(2 * 25.0 ft / 32.2 ft/s²)

Time of descent  = 0.913 s

Total time of flight = 2 * 1.253 s + 0.913 s

Total time of flight = 3.419 s

In conclusion, the horizontal distance = 80.685 ft/s * 3.419 s

horizontal distance = 276.298 ft

b.

the angle of the landing ramp is  30.0 be the same as the launch angle.

Learn more about horizontal distance at:

https://brainly.com/question/16411732

#SPJ1

Answer:

blanket:thermal conductivity

as it conduct heat.

aquarium glass:transparency

as light can be transfered from one side to

another.

Answer:

The Basal Metabolic Rate of 88 kilocalories per hour is equal to 102.276 watts.

Explanation:

A watt is equal to 1 joule per second, a kilocalory equals 4184 joules and a hour equals 3600 seconds. We convert the Basal Metabolic Rate (BMR) from kilocalories per hour into watts by following conversion:

\(x = 88\,\frac{kcal}{hr}\times \frac{4184\,J}{1\,kcal}\times \frac{1\,h}{3600\,s}\)

\(x = 102.276\,W\)

The Basal Metabolic Rate of 88 kilocalories per hour is equal to 102.276 watts.