A 11-kg cannonball is fired with a velocity of 19m / s from 28 m above the ground . It hits a target that is 11 m above the ground . With what velocity does it hit, in m / s ? (Round your answer to one decimal place if necessary .)

The force-constant of a typical ball-point pen spring is approximately 50 N/m. Correct option is D. 50 N/m

The force constant of a spring can be calculated using Hooke's-Law, which states that the force exerted by a spring is directly proportional to its displacement.

F ∝ x  ⇒  F = -kx

Here, F is the force, k is the force constant, and x is the displacement.

Here in this case, the displacement given is x = 0.001 m , the mass resting is 0.005 kg. i.e. m = 0.005 kg.

The force will be F = mg = 0.005 × 9.8 = 0.049 N

If we solve this,

0.049 N = -k × 0.001 m

k = 0.049 N / 0.001 m = 49 N/m

The approximation we get is 49 N/m and the option near this value id option D. Therefore, the force constant of a typical ball-point pen spring is approximately 50 N/m.

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The true statement among the following for the wavelength of a photon emitted when an electron in a hydrogen atom jumps from ni=70 state to the nf=2 is option B. it is shorter.

A photon is a particle representing a quantum of light or other electromagnetic radiation. A photon carries energy proportional to the radiation frequency but has zero rest mass.

Using the below giving equation we can find out the wavelength of the photon emitted when an electron in a hydrogen atom jumps from a higher energy state to a lower energy state

λ = [tex]R_{H}[/tex] × (1/ni² - 1/nf²)

where  [tex]R_{H}[/tex] is the Rydberg-constant and ni is the initial quantum number and nf is the final quantum number.

First case, the wavelength of the photon emitted when an electron jumps from the ni=70 state to the nf=2 means

λ(70 to 2) =    [tex]R_{H}[/tex]* (1/70² - 1/2²)

And then the wavelength of the photon emitted when the electron jumps from the ni=4 state to the nf=2 state can be calculated as:

λ(4 to 2) = [tex]R_{H}[/tex] * (1/4² - 1/2²)

When we consider these two, we will get that the wavelength of the photon emitted when an electron jumps from the ni=70 state to the nf=2 state is longer than the wavelength of the photon emitted when the electron jumps from the ni=4 state to the nf=2 state.

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If the candle is 3.2 cm from the cutout; then distance of the candle from the wall is, 7.41 cm

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"

Given that,

The compact flame of a candle casts a 19-cm high shadow of a 8.2-cm tall tree cutout,

If the candle is 3.2 cm from the cutout,

then distance of the candle from the wall  = ?

Suppose, the distance of the candle from the wall = x

It can be seen the diagram,

following system is making similar triangles,

So,

Ratio of sides will be equal

height of tree/distance = height of shadow/distance

8.2/3.2 =  19/x

x = 7.41

Hence, the distance is 7.41 cm

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Answer:

I have same doubt

Explanation:

somebody help

The Density of rock=(6315 kg/m^3)

It is a universal fact that the mass of an object remains constant whether measured on earth or on the moon.

Mass of rock on moon/earth = 7.2

Loss in weight =7.02 - five.88 = 1.14 kg = 1140g

As we know that water has a density of 1g/cm^3 (1000kg/m^3)

The volume of water = volume of the rock

= Mass/density;

=1140 cm^3

density of rock = mass/extent = 7200/1140 = 6.315 g/cm^3

Density of rock=(6315 kg/m^3)

Density (volumetric mass density or particular mass) is the substance's mass in line with a unit of extent. The symbol most usually used for density is ρ (the decreased case Greek letter rho), despite the fact that the Latin letter D also can be used. Mathematically, density is described as mass divided with the aid of volume.

The density of fabric varies with temperature and stress. this variation is usually small for solids and drinks but a whole lot greater for gases. increasing the strain on an object decreases the quantity of the object and therefore will increase its density. increasing the temperature of a substance (with some exceptions) decreases its density via increasing its quantity. In most materials, heating the bottom of fluid outcomes in convection of the warmth from the bottom to the pinnacle, due to the lower density of the heated fluid, which motivates it to rise relative to denser unheated material.

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Complete question:

A geologist finds that a moon rock whose mass is 7.2 kg has an apprant mass 5.88kg when submerged in water what is the density of rock.

True, Ventilation removes steam, smoke, grease, and heat from food-preparation areas and equipment, helps maintain indoor air quality, and reduces the possibility of fires from accumulated grease.

What should ventilation in locations where food is prepared get rid of?

An efficient ventilation system is made to eliminate smoke, fumes, and airborne oil from the kitchen while minimizing cooking odors. When constructing the ventilation system, an establishment's various cuisines, cooking styles, and equipment must be taken into account.

There are many ventilation requirements in the food processing industry, including heating and cooling to maintain room temperatures for both workers and the product, ventilation of produce to prevent premature aging, odor control, freezer recirculation air, caustic gas removal, or air turnover during wash-down cycles.

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The radius of curvature when the maximum safe velocity is 35 miles per hour is 14 feet. The answer is c. 196 ft.

Velocity is a vector quantity that describes both the speed and direction of an object's motion. It is measured in units of distance per unit of time, such as meters per second or miles per hour.

The formula v = 2.5r can be used to estimate the maximum safe velocity v, in miles per hour, given a radius of curvature r, in feet.
To find the radius of curvature when the maximum safe velocity is 35 miles per hour, we can solve the equation for r:
r = v/2.5
Substituting 35 for v, the radius of curvature is:
r = 35/2.5
r = 14
Therefore, the radius of curvature when the maximum safe velocity is 35 miles per hour is 14 feet. The answer is c. 196 ft.

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Answer:

3531.6 J

Explanation:

Work = Force x distance

the force is equal to the gravitational force, which is mg.

the distance equals the height h

W = mg x h = (1.2)(9.81)(15) = 176.58 J

but, this is only the work on 1 tile, so we multiply this by 20 to get 3531.6 J

There is no consequence when a point experiences three or more coplanar forces and the vector diagram closes. The forces affecting the point are balanced.

On the other hand, the Pythagorean Theorem, F = SQRT (Fx2 + Fy2), can be used to get the consequent if the magnitude of the rectangular components is known. Knowing that the tan is equal to the opposite side of the adjacent side, one can use trigonometry to calculate the direction of the resultant.

Let us resolve each of the forces into components along the x and y axes.

For the 80 N force:

Fx = 80 N cos(60°) = 80 N x 0.5 = 40 N

Fy = 80 N sin(60°) = 80 N x 0.866 = 69.28 N

For the 50 N force:

Fx = 50 N cos(20°) = 50 N x 0.94 = 47 N

Fy = 50 N sin(20°) = 50 N x 0.342 = 17.10 N

For the 60 N force:

Fx = 60 N cos(60°) = 60 N x 0.5 = 30 N

Fy = 60 N sin(60°) = 60 N x 0.866 = 51.96 N

Resultant Force:

The resultant force is then determined by adding the components:

Fx = 40 N + 47 N + 30 N = 117 N

Fy = 69.28 N + 17.10 N + 51.96 N = 138.34 N

Therefore, the magnitude of the resultant force is:

|F| = √(Fx2 + Fy2) = √(117 x 117 + 138.34 x 138.34) = 184.2 N

The direction of the resultant force is:

θ = tan−1(Fy/Fx) = tan−1(138.34/117) = 55.7°

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Answer:

The result of 1 + 0.5 + 1 + 2 - 4.5 is 0.

Gravitation is the force of attraction between two masses. It is the force that causes objects to fall to the ground and keeps planets in orbit around the sun.

The value of acceleration due to gravity 'g' at the polar region is approximately 9.8 m/s^2.

The weight of a body is directly proportional to its mass. Hence, to calculate the mass of a body with a weight of 600 N on the surface of the Earth, you can use the formula: mass = weight / g, where g is the acceleration due to gravity (approximately 9.8 m/s^2 at the Earth's surface). The mass of the body would be approximately 61.2 kg.

Answer:

C. The amount of energy absorbed by a medium can depend on a wave's properties.

Explanation:

The statement that is true of how a medium absorbs a wave's energy is:

C. The amount of energy absorbed by a medium can depend on a wave's properties.

When a wave travels through a medium, the medium can absorb some of the wave's energy, which can cause the wave to weaken or decrease in amplitude. The amount of energy that is absorbed by the medium can depend on various factors, such as the properties of the medium, the frequency and wavelength of the wave, and the intensity of the wave. For example, certain materials may be more effective at absorbing certain wavelengths of light, while others may be more effective at absorbing sound waves of specific frequencies. Therefore, the amount of energy absorbed by a medium can depend on the properties of the wave as well as the medium it is traveling through.

The resistance across a device can be determined using Ohm's law if current and voltage is given. The resistance in lamp 1 is 20 ohms.

Ohm's law states that the voltage across a circuit is the product of the current and resistance through the circuit.

Let V be the voltage, I and R be the current and resistance respectively. Then, V= IR.

Hence, the current is inversely proportional to the resistance through the circuit. Therefore, to vary the current a variable resistor can be used in the circuit.

Given that, current in lamp 1 = 0.4 A

voltage = 8 V.

then resistance = V/I

R = 8 V/0.4 A = 20 Ω

Therefore, the resistance of the lamp L1  is 20 ohms.

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The resistance of Lamp 1 is 20 ohms.

The correct option is B.

Ohm’s law states that the voltage across a conductor is directly proportional to the electric current flowing through it, when all physical conditions and temperatures are constant.

Equation can be written as,

V = IR

Where, V = Voltage

I = Electric current

the constant of proportionality, R, is called Resistance

Given,

Current in Lamp 1 I = 0.4 A

Potential difference V = 8.0 volt

Resistance of Lamp R = ?

By Ohm's law

V = IR

8 = 0.4 × R

R = 8/0.4

R = 20 Ω

Hence, 20 Ω is resistance of Lamp 1

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Answer:

Electromagnetic waves are periodic oscillations in the intensity of an electromagnetic field. OR. An electromagnetic wave is a transverse wave that has electrical and magnetic properties

In insulator electric field is zero and direction of electric field is away from the center.

In a insulator (dielectric) there are no (not very many) portable charge transporters thus the outer electric field mutilates the electron shells around the cores so the iota behaves like a dipole.

Every one of the electrons are as yet bound to cores yet the "middle" of the electron cloud is as of now not incidental with the place of the core.

The actuated dipoles are arranged and produce a prompted electric field contrary to the initiating electric field. The general permittivity of the medium is a proportion of how well the initiated field goes against the outer inciting field.

So the higher the permittivity the more modest is the electric field inside the protector.

Affected by an outer electric field the versatile charge transporters in a transmitter improve themselves (the portable charge transporters really move inside the grid) so the prompted electric field that they produce is equivalent in extent and inverse in heading to the outside initiating field with the outcome that there is no electric field inside the channel - relative permittivity is boundless.

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This vector equation in terms of the parameters x and y, resulting in the following parametric equations: x = 1 + 2s, y = -4 - 3s.

Vector is a mathematical object that has both a magnitude and a direction. It is typically represented by an arrow and the length of the arrow represents the magnitude and the direction of the arrow represents the direction. Vectors are commonly used to represent physical quantities such as velocity, force, and momentum.

A vector equation for a line is of the form r(t)= (x0, y0) + t(a, b). To find a line that is perpendicular to this line, we need to find another line with a vector equation of the form r(s) = (x0, y0) + s(b, -a).
Since the given point is (1, -4), we can set (x0, y0) = (1, -4). Also, from the given vector equation, we know that (a, b) = (-3, 2). Thus, the vector equation of the line that passes through (1, -4) and is perpendicular to the given line is:
r(s) = (1, -4) + s(2, -3)
We can then rewrite this vector equation in terms of the parameters x and y, resulting in the following parametric equations:
x = 1 + 2s, y = -4 - 3s

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A lens that forms a real image one-third the dimensions of an object located 9 cm from the lens is a diverging lens with a negative focal length.

The nature and focal length of a lens that will form a real image having one-third the dimensions of an object located 9cm from the lens​ is determined as follows;

The formula for the magnification (m) of an image formed by a lens is given by m = -h' / h,

where;

Given that m = 1/3,

we have h' / h = -1/3

Solving for the focal length (f) using the lens formula;

1/f = 1/u + 1/v,

where;

f = -3u = -27 cm.

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The average power radiated by each square meter of the Sun's surface is 6 × 10⁷ W/m². therefore option D is correct.

Radius is a term used in geometry to describe the length of a line extending from the center of a circle to the edge of the circle. This line is also referred to as the radius of the circle. The radius is half the distance of the diameter, which is the line that goes from one side of the circle to the other. The radius is also used in other shapes such as ellipses, rectangles, and polygons.

This is because the electric field lines radiate outward from the circumference of the ring, and as a result, the electric potential is lower near the circumference and higher further away from the circumference. As one moves closer to the center of the ring, the electric potential decreases.

Given power = 4×10²⁶ watts

Area = 4πr²

= 4π(7×10⁸)²

Area = 6.15752 × 10¹⁸

Average Power = Power/Area

= 4 × 10²⁶/6.157 × 10¹⁸

= 6.496 × 10⁷ W/m²

≈ 6 × 10⁷ W/m²

Thus, the average power radiated by each square meter of the Sun's surface is 6 × 10⁷ W/m². therefore option D is correct.

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(a) The work done on the gas when it expands to one and one-half its initial volume while the pressure is constant is 2.92 x [tex]10^5[/tex] J.

(b) The work done on the gas when it is compressed to two-fifths its initial volume while the pressure is constant is 3.74 x [tex]10^5[/tex] J.

Work done on a gas can be calculated using the equation:

W = -PΔV

where P is the pressure, ΔV is the change in volume, and W is the work done.

In this case, the pressure is constant at 2.10 atm, which is equivalent to 2.10 x [tex]10^5[/tex]Pa.

For (a), the initial volume is 7.80 m^3 and the final volume is 1.5 times the initial volume, which is 11.70 m^3. The change in volume is 11.70 - 7.80 = 3.90 [tex]m^3[/tex]. So, the work done on the gas is W = -PΔV = -(2.10 x [tex]10^5[/tex]) x (3.90) = 2.92 x [tex]10^5[/tex] J.

For (b), the final volume is two-fifths the initial volume, which is 3.12 m^3. The change in volume is 7.80 - 3.12 = 4.68 [tex]m^3[/tex]. So, the work done on the gas is W = -PΔV = -(2.10 x [tex]10^5[/tex]) x (4.68) = 3.74 x [tex]10^5[/tex] J.

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Answer:

Brad does about 105840 Joules (J) of work each day with the stair stepper.

Explanation:

To calculate the work done by Brad, we need to find the force he exerts and the distance he moves against gravity with each step, and then multiply by the number of steps per day.

The force Brad exerts is equal to his weight, which is:

F = mg = (80 kg) x (9.8 m/s^2) = 784 N

The distance Brad moves against gravity with each step is 0.15 m.

The total number of steps Brad takes each day is:

steps = (18 min/day) x (50 steps/min) = 900 steps/day

Now we can calculate the work done by Brad each day as follows:

work = force x distance x number of steps

= (784 N) x (0.15 m) x (900 steps)

= 105840 J

Therefore, Brad does about 105840 Joules (J) of work each day with the stair stepper.

The electric potential at a point on the axis at a distance x from the centre of the ring = k (q/r). And

The electric field at a circular ring of radius r, uniformly charged with linear charge density λ = (1/ 2€⁰) (rλ /r² + x² ) ⅔

Resolution of the electric field into its vertical and horizontal components. Vertical components cancel out while horizontal components add because the ring is symmetric.

From the figure, we can determine the circumference of the ring:

L = 2πr

Hence, electric field at P:

(1/ 2€⁰) (rλ /r² + x² ) ⅔

Where,

k = 9 x 10⁹

r = radius of the ring

λ = charge density

x = distance of the point

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Answer:

A1 = 10 V

A2 = 10 V

A3 = 10 V

A4 = 0 V

A5 = 10 V

A6 = 10 V

A7 = 10 V

Explanation:

The voltage across each ammeter should be the same for each ammeter connected in parallel. Since each ammeter is connected in parallel with the power supply, the reading across each ammeter should be 100 V. Since the actual voltage inputted from the voltage source is 100 V, each ammeter should read 10 V. The only exception is the ammeter connected in series with the other ammeters (A4). Since no circuit or component is connected in series with this ammeter, the reading should be 0 V.

20 Pascal is the correct answer

What is Pressure ?

Pressure is a physical quantity that describes the force per unit area applied to an object defined as the force (F) applied on a surface divided by the area (A) of that surface:

P = F/A Pressure is a fundamental concept in physics and is encountered in many areas of science and engineering, including mechanics, thermodynamics, and fluid mechanics. It is a measure of the average force exerted by a fluid or gas on a surface, and it is often expressed in units of Pascals (Pa) or pounds per square inch (psi). In physics, pressure is an important concept in understanding a wide range of phenomena, including the behavior of gases, liquids, and solids, as well as the transfer of energy through fluids and gases. It is also used in many practical applications, such as in the design of containers and piping systems to safely contain and transport pressurized fluids and gases.

Pressure= rho x g x h=10x2 =20 Pascal

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A) The gage pressure (psi) in the liquid near valve B when h = 33ft is: 472.7ps. B) The level h (ft) where the absolute pressure in the liquid near valve B will be equal to the atmospheric pressure is: -14.9ft.

What is gage pressure?

Gage pressure is the pressure of a gas, liquid, or solid measured relative to the atmospheric pressure. It is measured by a device known as a gage, which is typically a tube with a movable spring-loaded diaphragm that is connected to a display or recording device. Gage pressure is typically expressed in units of pounds per square inch (psi) or kilopascals (kPa).

A) The gage pressure (psi) in the liquid near valve B when h = 33ft is:

Pgage = Patm + ρgh

Pgage = 14.7psi + (3.09slug/ft3)(32.2ft/s2)(33ft)

Pgage = 472.7ps

B) The level h (ft) where the absolute pressure in the liquid near valve B will be equal to the atmospheric pressure is:

Pabs = Patm

Pabs = ρgh + Pgage

0 = (3.09slug/ft3)(32.2ft/s2)h + 472.7psi

h = -14.9ft

Since h cannot be negative, the absolute pressure in the liquid near valve B will never equal the atmospheric pressure.

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The statement is false Because: A network's logical topology is determined by the protocol used to create connections between nodes, such as Ethernet, optical, or wireless.

A network’s logical topology is the arrangement of the nodes, devices, and connections in a network, which defines the pattern of data transfers. It describes the way data flows between nodes and devices, and is different from the physical topology, which describes the physical wiring of a network.

A logical topology is important to characterize as it can affect the performance of the network, and can help identify issues with the network structure. Examples of logical topologies include star, ring, and mesh topologies

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The power radiated by a square meter of the star's surface is 5.67 x 10^17 W/m².

What do you mean by Stefan-Boltzmann Law?

The Stefan-Boltzmann Law states that the total energy radiated per unit surface area of a black body in thermodynamic equilibrium is directly proportional to the fourth power of its absolute temperature. This law is a fundamental law of thermodynamics and was first derived by Austrian physicist Josef Stefan in 1879, and later extended by German physicist Ludwig Boltzmann in 1884.

This is calculated by plugging the temperature into the Stefan-Boltzmann Law, as follows:

E = oT^4 = (5.67 x 10^-8)(30,000)^4 = 5.67 x 10^17 W/m².

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Radiotherapy techniques, when changing the dose rate, people see threshold dose to biological effect increases if dose efficiency decreases.

High doses of radiation are used in radiation therapy, also known as radiotherapy, as a cancer treatment to eradicate cancer cells and reduce tumour size. As with x-rays of your teeth or shattered bones, radiation is utilised at low doses in x-rays to see inside your body.

Radiation therapy damages cancer cells' DNA, which either kills them or limits their growth at high dosages. Cancer cells that have DNA damage that cannot be repaired either cease proliferating or die.

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Answer:

W = 211 N * 0.5 * 5.7 m = 597.7 Nm.

Explanation:

The work done by the man in pushing the mower is given by the equation, W = F * d, where F is the force applied and d is the displacement.

In this case, the force applied is 211 N, and the displacement is 5.7 m. Since only 50% of the force is directed forward, we can calculate the amount of work done by multiplying the force by 0.5.

Therefore, the work done by the man in pushing the mower is:

W = 211 N * 0.5 * 5.7 m = 597.7 Nm.