you throw a ball upward with an initial speed of 4.5 m/s. when it returns to your hand 0.92 s later, it has the same speed in the downward direction (assuming air resistance can be ig- nored). what was the average acceleration vector of the ball?

If there is a 1.0% minimum energy uncertainty in the photons, the pulse's minimum duration is  1.6313×10⁻¹⁴ seconds.

There are two approaches to determine a photon's energy: E = h f can be used if the photon's frequency is known. This equation is referred to as Planck's equation because Max Planck proposed it. Using the formula E = h c, the photon's energy can be determined if its wavelength is known.

energy of the laser = h × c/λ

where h=Planck's constant-6.626×10⁻³⁴

c-speed of light = 3×10⁻⁸ m/s

λ = wavelength = 615 nm-615×10⁻⁹ m

energy = E = 6.626×10⁻³⁴×3×10⁸/(615×10⁻⁹) = 3.2322×10⁻¹⁹ J

then uncertainty in energy = 0.01×E = 3.2322×10⁻²¹ J

from Heisenberg uncertainty principle:

uncertainty in energy × uncertainty in time > h/(4× π)

==> uncertainty in time >6.626×10⁻³⁴/(4× π×3.2322×10⁻²¹)=1.6313×10⁻¹⁴

so minimum duration of the pulse is 1.6313×10⁻¹⁴ seconds.

To know more about If there is a 1.0% minimum energy uncertainty in the photons, the pulse's minimum duration is  1.6313×10⁻¹⁴ seconds.

There are two approaches to determine a photon's energy: E = h f can be used if the photon's frequency is known. This equation is referred to as Planck's equation because Max Planck proposed it. Using the formula E = h c, the photon's energy can be determined if its wavelength is known.

energy of the laser=h × c/λ

where h=Planck's constant-6.626×10⁻³⁴

c-speed of light = 3×10⁻⁸ m/s

λ = wavelength = 615 nm-615×10⁻⁹ m

energy = E = 6.626×10⁻³⁴×3×10⁸/(615×10⁻⁹) = 3.2322×10⁻¹⁹ J

then uncertainty in energy = 0.01×E = 3.2322×10⁻²¹ J

from Heisenberg uncertainty principle:

uncertainty in energy × uncertainty in time > h/(4× π)

==> uncertainty in time >6.626×10⁻³⁴/(4× π×3.2322×10⁻²¹)=1.6313×10⁻¹⁴

so minimum duration of the pulse is 1.6313×10⁻¹⁴ seconds.

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The baseball will require longer time and the bowling ball will require  more effort to be stopped.

The bowling ball and baseball is moving with same momentum.

Let us say the momentum of the bowling ball is MV and the momentum of the baseball is mv.

According to second law of newton,

F = ΔMV/Δt

F = MΔv/Δt

So, the force is directly proportional to the speed of the object.

The speed of the bowling ball will be less than that of the baseball because the mass of the bowling ball is more and the mass of the baseball is less.

So, a greater force will be required to stop the baseball ball,

F = mΔv/Δt

v is more and the contact period Δt of the transfer of momentum is less so baseball will require longer time and a grater force will be required to stop the bowling ball because the speed is less.

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If I increases the string length, the frequency will decreases and vise versa.

In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.

For string wave, we know that,

frequency, n = [tex]\frac{1}{lD}[/tex][tex]\sqrt{\frac{T}{\pi \rho} }[/tex]

where, l = length of the string.

D = diameter.

T = tension

ρ = density of the material.

Hence, we can see that, frequency of the wave is inversely proportional to the length of the wire. So, on increasing string length, frequency of the wave will decreases.

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Answer:

That's all i know

Anyway welcome

The bird's speed immediately after swallowing is 6.91 m/s

The conservation of momentum states that, within a few problem domains, the quantity of momentum remains regular; momentum is neither created nor destroyed, but best modified through the movement of forces as described by means of Newton's laws of motion.

Calculation:-

Mass of bird m₁ = 280 g = 0.28 kg

velocity v₁ = 6 m/s

mass of insect m₂ = 11g = 0.011 kg

velocity = 30 m/s

applying conservation of momentum considering bird and insect as a close system

m₁v₁ + m₂v₂ =  m₁v₁ + m₂v₂ V

V =  m₁v₁ + m₂v₂ /m₁ + m₂

  = (0.28 × 6 + 0.011 × 30) /  0.28 +0.011

  = (1.68 + 0.33) / 0.291

   = 2.01 / 0.291

   = 6.91 m/s

The regulation of conservation of momentum states that in an isolated machine the full momentum of or more bodies appearing upon each other stays regular except an outside force is applied. therefore, momentum can neither be created nor destroyed.

A 'closed device' is something that isn't laid low with outside forces. that is known as the principle of conservation of momentum. Momentum is conserved in collisions and explosions.

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The sphere's surface has a net flow of 339 103 Nm2/C.

According to Gauss's rule of electricity, any closed surface's electric flux is inversely proportional to the net electric charge q enclosed by the surface, or q = q/0, where 0 is the electric permittivity of empty space, which has a value of 8.854 10-12 square coulombs per newton per square meter.

Given:

The total charge contained within the sphere's surface, q=-3 C

The sphere's radius is 5 cm (5 10 2 m).

To locate

the total electric flux across the sphere's surface.

Explanation:

The net electric flow through the surface of the sphere is determined by Gauss's law, which is as follows:

, Φ = q/ε0

which has a value of 8.854 10-12 square coulombs per newton per square meter.

where the permittivity of empty space equals 0.

Using the known values as a substitute

The sphere's surface has a net flow of 339 103 Nm2/C.

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Answer:

280 N

Explanation:

Remember   F = ma

F = 2000  *  .14   = 280 N

The initial speed of a shopping cart is 36 m/s.

What is acceleration?

Acceleration is the term used to describe how quickly a velocity's speed and direction change over time. It is said to have been accelerated when something changes its direction and moves faster or slower. Motion on a circle accelerates even when the speed is constant because the direction is constantly changing.

What is kinematic equation?

The set of equations known as the kinematic equations describes how an object moves with constant acceleration. Integrals, rates of change, and derivatives must be understood in order to solve kinematic equations.

List the known and unknown values.

u = initial velocity = 20 m/s

v = final velocity = ? m/s

a = acceleration = 4 m/s²

t = time interval = 4 s

s = displacement = ? m

The following kinematic equation should be used to determine the final velocity.

v = u + at

v = 20 m/s + (4 m/s² × 4 s) = 36 m/s

Now calculate the displacement using the following kinematic equation.

s = ut + ½at²

s = (20 m/s × 4 s) + (0.5 × 4 m/s² × (4 s)²)

s = 80 m + 32 m = 112 m

Therefore, the initial speed of a shopping cart is 36 m/s.

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The thickness of each page is 0.06 mm

You can measure the thickness of paper with a vernier caliper. Insert a piece of paper or cardboard between the caliper jaws. Then tighten the jaws and measure the distance between them. A digital caliper can indicate the thickness of a piece of paper.

Given,

number of pages book = 120

Total thickness of book = 8.2 mm

Thickness of front and back cover of the book =  0.5 mm

Thickness of pages = Total thickness - Thickness of front and back cover

Thickness of pages = 8.2 mm - 1 mm

Thickness of pages = 7.2 mm

Thickness of each page = 7.2/120

Thickness of each page = 0.06 mm

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Produced the model is the resistance of the circuits decreased as a battery voltage increased (option-B).

Ohm's Law describes how current, voltage, and resistance are related to one another. According to this, as long as the temperature doesn't change, the current flowing through a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit.

The more work a certain quantity of electrons can accomplish at a given voltage. The quantity of electrons that are presently moving through any one point in a circuit at any particular time is known as the current. At the same voltage, a larger current can perform more work. Current times voltage equals power.

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Answer:

b

Explanation:

The insulation tester, often known as a Megger, is a device used to assess insulation resistance. For measuring insulating resistance, we utilise the following devices.

What is insulation resistance?
The insulation resistance of wires, cables, and electrical equipment is measured in ohms. It is critical to protect against electric shocks and to avoid equipment damage caused by inadvertent discharges. The insulating resistance is measured by testing and evaluating the status of the isolation (head and body.)

Direct indicating ohm metre with hand-operated DC generator

With direct indicating ohm metre and motor-driven DC generator

Direct indicating ohm metre with DC battery

Direct indicating ohm metre with a full-wave rectifier

Resistance bridge circuit with galvanometer and battery

The insulating resistance is measured using direct current voltage. We can create the DC voltage using a hand-driven dc generator or a motorised dc generator. Insulation functions as a capacitor. If the insulation quality is excellent, the capacitor will block the DC. Leakage current flowing through insulation shows inadequate insulation quality.

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Static friction between the ladder and the ground has a coefficient of

[tex]\mu_{s}[/tex] = 0.303.

The maximum static friction force (F) that can exist between two surfaces before movement starts is divided by the normal force (N) to determine the coefficient of static friction.

x₁ = 8

x₂ = a₁

x₃ = x₁ cos θ

x₃ = 8 cos61 = 3.87m

x₄ = x₂cosθ = 9.1cos 61

x₄ = Lsin 60 = 16sin 60

[tex]x_{s}[/tex] = 13.856m

w₁ = mg = 840

w₂ = mg = 490

N₁ = mg + mg = 490+840 =1330N

N₂ = f = [tex]\mu_{s}[/tex]N₁

Torque about point is zero

[tex]\sum[/tex]Z = 0

mgx₃ +mgx₁ = N₂[tex]x_{s}[/tex]

N₂ = 490×387+840×4.41/13856

N₂ = 404.268

[tex]\mu_{s}[/tex] = N₂/N₁ = 404.268/1330 = 0.303

[tex]\mu_{s}[/tex] = 0.303

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The cause of these bands is the interference between the waves reflected from the glass on the upper and lower surfaces of the air wedge.

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Compared to the orbital speeds of the planets in our solar system, the Milky Way Galaxy's rotation curve is far more flat and steady. While there is less mass as we get farther from the sun in our solar system.

The orbital speed of an astronomical body or object (such as a planet, moon, artificial satellite, spacecraft, or star) in gravitational bound systems is its speed relative to the most massive body's centre of mass, or the barycenter, if one body is significantly more massive than the other bodies in the system put together.

The phrase can be used to describe either the mean orbital speed (i.e., the speed throughout the course of an orbit) or its instantaneous speed at a specific location in the orbit. For objects in closed orbits, the maximum (instantaneous) speed occurs at periapsis (perigee, perihelion, etc.), whereas the smallest speed occurs at apoapsis (apogee, aphelion, etc.). When two-body systems are perfect, things An astronomical body or object (such as a planet, moon, man-made satellite, spacecraft, or star) moves through space at a certain speed called its orbital speed in gravitational bound systems.

When a system closely resembles a two-body system, the object's specific orbital energy, also known as "total energy," and its distance from the central body can be used to calculate the object's instantaneous orbital speed at a specific point in the orbit. Independent of position, the specific orbital energy is constant.

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9.8m is the wavelength  of the automobile. The distance between identical points (adjacent crests) in adjacent waveform signal cycles carried in space or along a wire is defined as the wavelength.

The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal carried in space or along a wire is defined as the wavelength. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).

A spectrum is the range of wavelengths or frequencies for wave phenomena. The term started with the visible light spectrum, but it is now used to refer to the full electromagnetic spectrum, as well as a sound or vibration spectrum.

wavelength=1470/150

                 =9.8m

In a series of waves, the distance between one peak and the next, or between one dip and the next. It is also one of the "yardsticks" used in radiation measurement.

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you get the same acceleration.

we know that:

   F = ma
   a = F/m
    a = 2F/2m
     a = F/m

so if we double the force and the mass, you get the same acceleration.

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Each situation should be match with the correct energy transformation as follows:

Energy can be defined as a measure of the ability of a physical body to do work. This ultimately implies that, energy must be possessed or transferred to a physical object or physical body before it can be used in doing a work or heating a system.

The law of conservation of energy states that the energy possessed by a physical body (object) can neither be created nor destroyed, but it can only be transformed from one form to another such as the gravitational potential energy possessed by a child on a slide that is transformed into kinetic energy.

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Complete Question:

Match the situation with the energy transformation.

A boy shooting a rubber band across the classroom

A child going down a slide on a playground

Rubbing your hands together to warm them on a cold day

Turning on a battery operated light

Using a dc electric motor

Using a gas power heater to warm a room

Using a hand crank generator to produce electric current

Using the light in your room that is plugged into the wall

Elastic potential energy transformed into kinetic energy

kinetic energy transformed into electric energy

Gravitational potential energy transformed into kinetic energy

Electrical energy transformed into radiant energy

Chemical potential energy transformed into radiant energy

Electrical energy transformed into kinetic energy

Kinetic energy being transformed into thermal energy

Chemical potential energy transformed into thermal energy

The average speed of the complete round trip is 62.85 km/h.

The average speed is nothing but the total distance travelled per unit time.

or in other words,

Average speed = [tex]\frac{Total distance travelled}{total time taken}[/tex]

Now, Total distance travelled = 300km + 300 km = 600 km

and the time taken = t1 + t2 + t3

t1 = distance/speed

t1 = 300km/(97km/h)

t1 = 300/97 Hour = 3.0927 Hour

t2 = 1 Hour

and t3 = distance/speed

t3 = 300km/(55km/h)

t3 = 300/55 Hour = 5.4545 Hour

Total time = t1+t2+t3

T = 3.0927+1+5.4545 = 9.547 Hour

So, average speed = total distance / total time

Average speed = 600km/9.547 Hour

Average speed = 62.85 km/h

Hence the average speed is 62.85 km/h.

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The torque on the wheel is 0.0294 Nm

The term "torque" was coined by the ancient Romans. They described these necklaces with the Latin word "Torquere", a twisted helix, a spiral, which means "twist" and "turn".

Torque is a measure of the force that rotates an object around an axis. Torque causes an object to undergo angular acceleration in the same way that force accelerates an object in linear kinematics. Torque is a vector quantity. Newton meter is the unit of torque.

Torque = Force × Perpendicular distance line of action of force and axis

τ = mg × L

τ = 0.01 × 9.8 × 0.3

τ = 0.0294 Nm

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The formula for total mechanical energy at maximum displacement (amplitude) is

ME = KE + PE = 0 plus (1/2)

*k*A^2 = (1/2)*k*A^2

Now, mechanical energy is constant during the displacement of a mass on a spring.

Now, when x equals A/2, or when displacement is equal to half of amplitude, then

PE = (1/4)*(1/2)*k*x2 = (1/4)*(1/2)*k*(A/2)*2

PE = (1/4)*ME

PE = ME - (1/4)*ME - KE = ME

KE = (3/4)*ME

KE/ME = 3/4 = 0.75

Part B.

When KE = PE, displacement is required.

If this event happens at 'x' displacement, then at this point we are aware that

ME = KE plus PE equals (1/2)*k*A2.

Because KE = PE

ME = PE + PE = (2*PE)*k*A2

PE = (1/4)*k*A^2

PE = (1/2)*k*x2 at x displacement, thus

(1/2)*k*x^2 = (1/4)*k*A^2

x^2 = (1/2)*A^2

(x/A)^2 = 1/2

sqrt(1/2) = 0.7071 for x/A

Using two reliable figures

x/A = 0.71

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Tension force, Friction and gravity are acting on acrobat player while hanging in middle. and this is unbalanced force.

Tension is a contact force that is transmitted through a rope, thread, wire, or other similar material when pressures on the opposing ends tug on it. The rope that holds a tire swing to a tree branch is one such example. The rope is pulled upward by a branch tugging against the rope's tug tension, which is only a pulling force; the rope is dragged downward by gravity. Pushing on a slack rope will not cause it to be strained. As a result, the force of tension must always be represented in the direction that the string is pulling the object in a free-body diagram.

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Saturn is less dense than Earth because it has a bigger volume.

Of all the planets in the Solar System, Saturn has the lowest density.

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An elevated feature near the heel or flanks or a position upwind of the fire affords a good sight line and there is advantage of it as long as there is zero possibility that the fire will go there, which is true statement.

Elevated feature helps to protect the space besides there is a fire present. Elevated feature is the safest and nearest place to not get effected by the fire present in the other side of the elevated feature.

This feature is also created in case of emergency situations to immediately reduce the effect of the fire. This could a technique to reduce the effect of the hazards in the disaster management.

While considering the effect of hazards reduction, there are parameters on which these depends, are shape of elevated feature, elevation of the elevated feature and steepness of the elevated feature.

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Answer:

Explanation:

Given:

F₁ =500 N

F₂ = 350 N

m₁ = m₂ = m = 800 kg

__________

R - ?

a - ?

Resultant force:

R = 500 - 350 = 150 N

System acceleration:

a = R / (m₁ + m₂) = R / (2·m)

a = 150 / (800 + 800) = 0.094 m/s²

Direction R and a  - East

Answer:Blood type AB Rh+

Explanation:

The statement that is true about the situation where the sailboat ends up 7 miles to the west is that it describes displacement, which is a vector quantity (option A).

Displacement is the vector quantity which denotes distance with a directional component. This means that displacement is distance with direction.

On the other hand, distance is the amount of space between two points, usually geographical points, usually (but not necessarily) measured along a straight line. It is a scalar quantity, meaning that it has no direction.

This serves as the major difference between both terms: Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

According to this question, a sailboat ends up 7 miles to the west of a pier. This means that the magnitude is 7 while the direction is west of the pier, hence, it depicts displacement.

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The cylinder must be released from a greater height for it to complete the circle.

From the concept of work-energy theorem we know that for the sliding object, the beginning work done/ energy of the object is the potential energy due to gravity at a height.

P.E = m.g.h

Here h=height

At the top of the circle, total energy will include both Kinetic energy and potential energy

From conservation of energy, it’s inferred

m.g.h= (½ mv²) + (mg(2R))

Here R=radius of circular motion

Taking m common

m.g.h= m(v²/2 + 2gR)

Cancelling m

We get height for releasing the object as

h= (v²/2g) + (2R)

The similar formulas can be applied for the rolling object as well

but along with rotational energy

m.g.h = (½ mv²) + (½ Iω²) + (mg(2R))

Here I = moment of inertia of the rolling object

And angular velocity is denoted by ω

h = ½ (v²/g) + ½ (Iω²/mg)+ 2R

From the extra term in the above equation i.e. ½ (Iω²/mg) it’s deduced that the release height is more in case of a rolling object.

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Explanation:

Sound travels more quickly through solids than through liquids and gases because the molecules of a solid are closer together and, therefore, can transmit the vibrations faster. Sound travels most slowly through gases because the molecules of a gas are farthest apart.