Is there a magnetic field in an off light bulb?

Answer:

Yes because provided the current is the same.

The image distance is 60 cm if  An object is placed 30 cm from the diverging mirror has a focal length of 20cm.

A concave mirror, also known as a converging mirror, has an inwardly recessed reflecting surface (away from the incident light). Concave mirrors focus light inward to a single focal point. They are used to concentrate light. Concave mirrors, unlike convex mirrors, produce different image types depending on the distance between the object and the mirror.

The mirrors are referred to as "converging mirrors" because they collect light that falls on them and refocus parallel incoming rays toward a focus. This is due to the fact that light is reflected at different angles at different spots on the mirror due to the fact that the normal to the mirror surface varies at each spot.

use mirror formula

[tex]\frac{1}{f}[/tex] = [tex]\frac{1}{v}[/tex] + [tex]\frac{1}{u}[/tex]

The image distance is 60 cm

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A newborn infant and a doctor are pulled apart by much less gravitational force than the distance between Earth and Mars.

The gravitational force between Earth and Mars can be calculated using the formula F = G(m1m2)/r^2, where G is the universal gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers. The mass of Earth is about 5.97 x 10^24 kg, the mass of Mars is about 6.39 x 10^23 kg, and the average distance between them is about 225 million km. Using these values and the formula, we can calculate that the gravitational force between Earth and Mars is about 2.7 x 10^22 N.

On the other hand, the gravitational force between a newborn baby and a doctor can be calculated using their masses and the distance between them. Assuming an average newborn baby mass of 3.5 kg and an average doctor mass of 75 kg, and a distance of 1 meter between them, we can calculate that the gravitational force between them is about 2.2 x 10^-8 N.

Clearly, the gravitational force between Earth and Mars is much greater than the force between a newborn baby and a doctor. The greater forces are between the larger and more massive objects, such as planets or stars, due to their greater masses and distances.

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The selected velocity does not depend on either the mass or the charge of the particle. It is because the mass and the charge control the resolution of the device--particles with the wrong velocity will be accelerated away from the straight line .

If the acceleration depends strongly on the velocity, then particles with just slightly wrong velocities will feel a substantial transverse acceleration and will not exit the selector. Because the acceleration depends on the mass and charge, these influence the sharpness (resolution) of the transmitted particles.

Thus, even if the particles have different charges or masses, they can have the same velocity when passing through the selector. So, the velocity of a neutral particle would be selected by passage through this device, as it is independent of both mass and charge.

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A charged particle with a negative charge will experience a force downward when entering an electric field directed vertically upward along the y-axis. This is because opposite charges attract and the negatively charged particle will be attracted to the positively charged electric field.

                             F = qE

                                            where F is the force on the particle,

                                            q is the charge on the particle, and

                                            E is the electric field strength.

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If the volume of 0. 05 g of the gas is 50cc at 27°c and 76cm Hg pressure the molar mass of the gas is approximately 81.97 g/mol.

To determine the molar mass of the gas, we can use the ideal gas law:

PV = nRT

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

First, we need to convert the given values to the appropriate units. The volume is given in cc, which is equivalent to mL, so we can convert it to m^3:

V = 50 cc = 50 x 10^-6 m^3

The temperature is given in degrees Celsius, so we need to convert it to Kelvin:

T = 27°C + 273.15 = 300.15 K

The pressure is given in cm Hg, so we need to convert it to Pa:

P = 76 cm Hg x (1 m/100 cm) x (133.32 Pa/1 cm Hg) = 101325.12 Pa

Now we can solve for the number of moles of gas:

n = PV/RT

where R = 8.314 J/(mol·K) is the gas constant.

n = (101325.12 Pa) x (50 x 10^-6 m^3) / (8.314 J/(mol·K) x 300.15 K)

n = 0.000610 mol

Finally, we can calculate the molar mass of the gas:

molar mass = mass / moles

Since the mass of the gas is given as 0.05 g, we have:

molar mass = 0.05 g / 0.000610 mol

molar mass = 81.97 g/mol

Therefore, the molar mass of the gas is approximately 81.97 g/mol.

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The main difference between perfectly elastic and inelastic collisions is that In a perfectly elastic collision, the total kinetic energy of the system is conserved, while in an inelastic collision, the total kinetic energy of the system decreases.

Perfectly elastic collisions result in no loss of kinetic energy, whereas inelastic collisions result in a loss of kinetic energy. Collisions in which the kinetic energy is conserved are known as perfectly elastic collisions. Two billiard balls colliding are an example of a perfectly elastic collision because they have the same mass, and there is no deformation of the ball. As a result, in a perfectly elastic collision, both momentum and kinetic energy are conserved.In contrast, in an inelastic collision, kinetic energy is not conserved.

In an inelastic collision, two or more bodies come together and stick to one another after colliding. When two cars collide, for example, they do not bounce off each other; instead, they become deformed and stick together. A loss of kinetic energy is present in inelastic collisions because the deformation causes some of the energy to be converted to heat, sound, and other forms of energy that are not associated.

Therefore, the differences in the experimental results between perfectly elastic and inelastic collisions are due to the fact that inelastic collisions cause kinetic energy to be lost, while perfectly elastic collisions do not cause kinetic energy to be lost.

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The speed of the tricycle while going to passenger's home from the station is 0.03m/s.

The equation of motion says, V = D/T where, V is the speed, D is the distance covered and T is the time taken. Here it is given that the tricycle takes 20 minutes to reach a passenger's home that is 20m away from the station, So, putting the value in the standard form of the values,

10 minutes = 600 seconds.

Speed =distance/time

Speed = 20/600

Speed = 0.03 m/s.

So, the speed of the tricycle is 0.03m/s.

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The light from Galaxy HD1 is believed to have traversed 1.273 10 26 metres.

To convert the distance traveled by the light from Galaxy HD1 from light-years to meters, we can use the following conversion factor:

1 light-year = 9.461×10^15 meters

Therefore, the distance traveled by the light from Galaxy HD1 is:

13.463 billion light-years × 9.461×10^15 meters/light-year = 1.273×10^26 meters

So, the distance traveled by the light from Galaxy HD1 is approximately 1.273×10^26 meters, which is an incredibly large distance. It is important to note that this distance represents the comoving distance, which takes into account the expansion of the universe over time.

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1)  the speed of the wave is 10 m/s. 2) The speed of the wave is 40 m/s. 3) The speed of the wave is 40.5 m/s. 4) The wavelength of the wave is 170.37 m. 5) The frequency of the wave is 1.99 Hz. 6) The frequency of the wave is 4.29 Hz. 7) The speed of the wave is 1334.46 m/s. 8) The speed of the wave is 1.075 m/s.

1. ) Frequency = 100 Hz Wavelength = 100mm Speed =?

To calculate the speed we can use the formula:

v=λƒ

where v represents wave speed, λ represents wavelength and ƒ represents frequency. Substituting given values in the formula we get

v = 0.1 * 100v = 10 m/s

2)Frequency = 200 Hz Wavelength = 200 km Speed =?

To calculate the speed we can use the formula:

v=λƒ.

Substituting given values in the formula we get

v = 200 * 10⁻³ * 200v = 40 m/s .  

3)Frequency =. 27 Hz Wavelength = 150 m Speed =?

To calculate the speed we can use the formula:

v=λƒ.

Substituting given values in the formula we get

v = 150 * 0.27v = 40.5 m/s

4.) Frequency = 2. 7 Hz Wavelength = Speed= 460 m/s

To calculate the speed we can use the formula:

v=λƒ.

Substituting given values in the formula we get

λ = 460 / 2.7λ

= 170.37 m

5. ) Frequency = Wavelength = 502 m Speed= 1000 m/s

To calculate the frequency we can use the formula:

v=λƒ

Substituting given values in the formula we get

1000 = 502 * ƒƒ

= 1.99 Hz

6. ) Frequency = Wavelength = 3. 26 cm Speed = 14 m/s

v=λƒ

Substituting given values in the formula we get

14 = 3.26 * ƒƒ

= 4.29 Hz

7. ) Frequency = 97 Hz Wavelength = 13. 78 m Speed = ?

v=λƒ

Substituting given values in the formula we get

v = 13.78 * 97v

= 1334.46 m/s

8. ) Frequency = 780 Hz Wavelength = 1378 mm Speed = ?

v=λƒ

v = 1.378 * 10⁻³ * 780v

= 1.075 m/s

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Answer:

see the explanation part

Explanation:

8.We can use the inverse square law to calculate the intensity of radiation reaching Earth from Antares. The inverse square law states that the intensity of radiation from a point source decreases as the square of the distance from the source increases.

The formula for the intensity of radiation is:

I = L / (4πd²)

where I is the intensity, L is the luminosity, and d is the distance from the source.

Substituting the values given in the problem, we get:

I = (3.1 x 10^26 W) / (4π x (5.246 x 10^16 m)^2)

I = 3.1 x 10^26 / (4π x 2.754 x 10^33)

I = 7.1 x 10^-8 W/m²

Therefore, the intensity of radiation reaching Earth from Antares is 7.1 x 10^-8 W/m².

9.We can use the same formula as in the previous question to calculate the intensity of radiation reaching Earth from Proxima Centauri:

I = L / (4πd²)

where I is the intensity, L is the luminosity, and d is the distance from the source.

Substituting the values given in the problem, we get:

I = (6.5 x 10^24 W) / (4π x (4.014 x 10^16 m)^2)

I = 6.5 x 10^24 / (4π x 6.431 x 10^32)

I = 4.0 x 10^-15 W/m²

Therefore, the intensity of radiation reaching Earth from Proxima Centauri is 4.0 x 10^-15 W/m².

10.We can use the Stefan-Boltzmann law to calculate the surface temperature of Vega:

L = 4πR²σT⁴

where L is the luminosity, R is the radius of the star, σ is the Stefan-Boltzmann constant, and T is the surface temperature.

We can rearrange this equation to solve for T:

T = (L / (4πR²σ))^(1/4)

We can also use Wien's displacement law to calculate the Amax value:

Amax = b / T

where Amax is the maximum spectral wavelength intensity, b is Wien's displacement constant, and T is the surface temperature.

Substituting the values given in the problem, we get:

T = [(1.5 x 10^28 W) / (4π x (4.18 x 10^11 m)² x 5.67 x 10^-8 W/(m²K⁴))]^(1/4)

T = 9,667 K

Amax = (2.898 x 10^-3 m·K) / 9,667 K

Amax = 3.0 x 10^-7 m

Therefore, the surface temperature of Vega is approximately 9,667 K, and its Amax value is approximately 3.0 x 10^-7 m.

11.We can use the same formulas as in the previous question to calculate the surface temperature and Amax value of Sirius:

Surface temperature:

L = 4πR²σT⁴

T = (L / (4πR²σ))^(1/4)

where L is the luminosity, R is the radius of the star, σ is the Stefan-Boltzmann constant, and T is the surface temperature.

Substituting the values given in the problem, we get:

T = [(9.7 x 10^26 W) / (4π x (1.8 x 10^11 m)² x 5.67 x 10^-8 W/(m²K⁴))]^(1/4)

T = 9,940 K

Amax value:

Amax = b / T

where Amax is the maximum spectral wavelength intensity, b is Wien's displacement constant, and T is the surface temperature.

Substituting the value of T we calculated above, we get:

Amax = (2.898 x 10^-3 m·K) / 9,940 K

Amax = 2.91 x 10^-7 m

Therefore, the surface temperature of Sirius is approximately 9,940 K, and its Amax value is approximately 2.91 x 10^-7 m.

Jacob will catch up to Pablo in approximately 31.8 seconds.

A constant rate is a fixed or unchanging speed at which a process occurs. It is a measurement of how much something changes in a given amount of time. For example, if a car is traveling at a constant rate of 60 miles per hour, it will cover 60 miles in one hour, regardless of any changes in speed or direction.

An example of constant rate is the speed of a car traveling on a highway with no traffic or other obstacles. As long as the car maintains a steady speed, the rate of its movement remains constant. Another example could be the rate at which a chemical reaction proceeds under stable conditions.

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Answer:

grrr I don't know either grrr

Answer:

After the dielectric is inserted the capacitance is increased hence the stored energy is also increased . It may be noted here that since voltage between the capacitor V0 is constant the electric field between the plates also remains constant .

Answer:

300m

Explanation:

It is very simple.

200m+100m= 300m

Answer:

Impression & Gun

Explanation:

The amount of work done by Pablo is 16 J.

The work done by Pablo on the bag of flour is given by the formula:

work = force x distance x cos(theta)

where force is the magnitude of the force applied, distance is the distance moved by the object, and theta is the angle between the direction of the force and the direction of the displacement. In this case, the angle between the direction of the force and the direction of the displacement is 0 degrees (since Pablo lifted the bag straight up), so cos(theta) = 1. Substituting the given values, we get:

work = 20 N x 0.8 m x 1 = 16 J

Therefore, Pablo did 16 J of work on the bag of flour.

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The correct option is 4, the gravitational and electrostatic force, respectively, exerted on a proton placed in this field are: 2.9 × [tex]10^{-17}[/tex]N and 1.64 × [tex]10^{-26}[/tex]N.

Electrostatic force on charge particle,

3 × [tex]10^{-6}[/tex]N

Charge on a particle,

q = 16.2 × [tex]10^{-19}[/tex]C

Calculation of gravitational force:

F = qE

3 × [tex]10^{-6}[/tex] = 16.2 × [tex]10^{-9}[/tex]E

E = 3 × [tex]10^{-6}[/tex] / 16.2 × [tex]10^{-9}[/tex]

= 3 × [tex]10^3[/tex] / 16.2

Electrostatic force on proton,

= qE = 1.6 ×[tex]10^{-19}[/tex]  × 3 × [tex]10^3[/tex] / 16.2

= 2.9 × [tex]10^{-17}[/tex]N

The gravitational force on the proton,

= mass of proton × acceleration due to gravity

= 1.67 × [tex]10^{-27}[/tex] × 9.8

= 1.64 × [tex]10^{-26}[/tex]N

Hence, the gravitational and electrostatic force, respectively, exerted on a proton placed in this field are:

2.9 × [tex]10^{-17}[/tex]N and 1.64 × [tex]10^{-26}[/tex]N

The electrostatic force, also known as the Coulombic force, is a fundamental force of nature that governs the interactions between electrically charged particles. This force arises from the attraction or repulsion between electric charges, which can be positive or negative. Like charges repel each other, while opposite charges attract.

Electrostatic force plays a crucial role in a wide range of physical phenomena, including the behavior of atoms and molecules, the functioning of electronic devices, and the behavior of charged particles in electric and magnetic fields. It is also responsible for the behavior of lightning, the spark from static electricity, and the attraction between a comb and hair. The electrostatic force is one of the four fundamental forces of nature, along with gravity, the strong nuclear force, and the weak nuclear force.

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Complete Question: -

A charged cloud system produces an electric field in the air near the earth's surface. A particle of charge 16.2 × [tex]10^{-19}[/tex]C is acted on by a downward electrostatic force of 3 × [tex]10^{-6}[/tex]N when placed in this field. The gravitational and electrostatic force, respectively, exerted on a proton placed in this field are

(1) 1.64 × [tex]10^{-26}[/tex]N, 2.4 × [tex]10^{-16}[/tex]N

(2) 1.64 × [tex]10^{-26}[/tex]N, 2.9 × [tex]10^{-16}[/tex]N

(3) 1.56 × [tex]10^{-18}[/tex]N, 2.4 ×[tex]10^{-16}[/tex]N

(4) 2.9 × [tex]10^{-17}[/tex]N, 1.64× [tex]10^{-26}[/tex]N

13.25 m/s = 47.88 km/h was roughly how fast the punt was moving at the time.

The rate at which distance and time change is what is meant by speed. It has the aspect of temporal and spatial distance. The combination of a fundamental units of distance and time is what is described as the System of units ( si of speed. As a result, the SI unit for speed is the meter per second.

In contrast to velocity, which describes the speed and direction of the an object's movement, speed is the rate of movement along a path. Instead, velocity is a vector while speed is a scalar quantity.

t = (2 * v0 * sin) g

where (9.81 m/s2) is the acceleration caused by gravity.

In order to find t, we must solve for it as follows: t = (2 * v0 * sin) / g 4.30 ≈ (2 * v0 * sin68) / 9.81 v0 = (4.30 * 9.81) / (3 ) * sin68)

0.194 = 13.25 m/s

We may multiply this by 3.6 to get the speed in km/h: 13.25 m/s * 3.6 ≈ 47.88 km/h

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The initial speed 13.25 m/s = 47.88 km/h was roughly how fast the punt was moving at the time.

Speed refers to the rate at which distance and time change. It has a temporal and spatial distance component. The System of units (s of speed) is the amalgamation of fundamental units of time and distance. Consequently, the meter per second is the SI unit for speed.

Speed is the rate of movement along a path, in contrast to velocity, which describes the speed and direction of an object's movement. Speed, on the other hand, is a scalar quantity while velocity is a vector.

                         t = (2 × v₀ × sin) g

where (9.81 m/s2) is the acceleration caused by gravity.

In order to find t, we must solve for it as follows:

t = (2 × v₀ × sin) / g 4.30 ≈ (2 × v₀ × sin 68) / 9.81 v₀

                           = (4.30 × 9.81) / (3 ) × sin 68)

                            0.194 = 13.25 m/s

We may multiply this by 3.6 to get the speed in km/h:

                           13.25 m/s × 3.6 ≈ 47.88 km/h

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Ice has a 333J/g latent heat of fusion.it will take approximately 66.8 seconds for a 500W heater to melt 100 grams of ice at 0 degrees Celsius. .To deliver a required amount of energy, l

Liquid water freezes at temperature below 32°F (0°C); this temperature is known as the water freezing point. Normal water ice melts or transforms from a solid into a liquid (water) at temperatures over 32°F (0°C); 32°F (0°C) is indeed the melting point.

where:

Q = energy required (in joules)

m = mass of ice (in grams)

Lf = latent heat of fusion for water (334 J/g)

Substituting the given values, we get:

Q = 100 g * 334 J/g = 33400 J

The rate at which the heater provides energy is given by its power, which is 500W.

To calculate the time it takes to melt the ice, we can use the formula:

t = Q / P

where:

t = time (in seconds)

Q = energy required (in joules)

P = power of the heater (in watts)

Substituting the given values, we get:

t = 33400 J / 500 W = 66.8 seconds

In fact, the lowest temperature that can be imagined is absolute zero. In absolute zero, neither heat nor motion are present. Absolute zero is found at a temperature of about 0 kelvin, or -273.15 degrees Celsius, and -460 degrees Fahrenheit.

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Answer:

QL = heat lost = Sm * Mm * ΔTm

QL = Sm * 75 g * (212 - 25) = 14,000 Sm    heat lost by metal

QG = 1 cal/gm deg C * 50 g * (25 - 22) = 150 cal / gm deg C  gained water

Since heat loss = heat gained

Sm = 150 / 14,000 = .010 cal / gm deg C

The investigation presented did offer proof in favor of the existence of imperceptible electric force fields.

The force between two charged objects is the electric force, sometimes referred to as the Coulomb force. The interaction of charged particles produces this fundamental force of nature. The magnitudes of the charges on the two objects and the separation between them define the strength of the electric force.

The tape was observed to interact without touching when it was charged by rubbing the tape against one another. The formation of an electric field surrounding the charged tape, which pulls on other nearby charged items, can be used to explain this interaction.

Even though the electric field surrounding the charged tape was not explicitly measured or quantified, the observed interaction between the tape offers a weak indirection for its presence. Hence, the investigation did offer sufficient proof to back up the existence of undetectable electric force fields.

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The potential energy at each point:

PE₁ = 1764 J

PE₂ = 1323 J

PE₃ = 0 J

PE₄ = 441 Jh

The kinetic energy at each point:

To find the mechanical energy at each point:

The height at point 4, h = 1.23 m

To calculate the potential energy, kinetic energy, and mechanical energy of the object at each point, we will need to use the following formulas:

Potential energy (PE) = mgh, where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s^2), and h is the height above a reference point.

Kinetic energy (KE) = 0.5mv^2, where m is the mass of the object and v is its velocity.

Mechanical energy (ME) = PE + KE

Given:

Mass of the object (m) = 45 kg

Point 1: h = 4 m

Point 2: h = 3 m

Point 3: h = 0 m

Point 4: v = 5.2 m/s

To find the potential energy at each point:

PE₁ = mgh1 = 45 kg x 9.8 m/s^2 x 4 m

PE₁ = 1764 J

PE₂ = mgh2 = 45 kg x 9.8 m/s^2 x 3 m

PE₂ = 1323 J

PE₃ = mgh3 = 45 kg x 9.8 m/s^2 x 0 m

PE₃ = 0 J

PE₄ = mgh4 = 45 kg x 9.8 m/s^2 x h

PE₄ = 441 Jh

KE at point 1 = 0

KE at point 2 = 1764 - 1323 J

KE at point 2 = 441 J

KE at point 3 = 1764 J

To find the kinetic energy at point 4:

KE₄ = 0.5mv^2 = 0.5 x 45 kg x (5.2 m/s)^2

KE₄ = 1219.7 J

To find the mechanical energy at each point:

ME₁ = PE₁ + KE

ME₁ = 1764 J + 0 J = 1764 J

Since the mechanical energy is conserved (ignoring friction and air resistance), we can set ME₁ = ME₂ = ME₃ = ME₄

Solving for h:

ME₁ = ME₄

1764 J = 441 Jh + 1219.7 J

h = (1764 J - 1219.7 J) / (441 J)

h = 1.23 m

Therefore, at point 4, the object has a velocity of 5.2 m/s and a height of 1.23 m.

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Answer:

To calculate the work done by the teenager, we need to know the force applied and the distance moved.

Since we don't know the force applied, we can assume that it's equal to the weight of the teenager. The weight of the teenager can be calculated by multiplying their mass by the acceleration due to gravity, which is approximately 9.81 m/s^2:

weight = mass * acceleration due to gravity

weight = 46 kg * 9.81 m/s^2

weight = 451.26 N

The distance moved is equal to the height of 44 steps:

distance = height of 1 step * 44 steps

distance = 20 cm * 44

distance = 880 cm or 8.8 m

Now we can calculate the work done by the teenager using the formula:

work = force * distance * cos(theta)

where theta is the angle between the force and the direction of movement. Since the teenager is moving vertically upward, the angle theta is 0 degrees, and the cos(0) is equal to 1. Therefore, we can simplify the formula to:

work = force * distance

Plugging in the values we have calculated, we get:

work = 451.26 N * 8.8 m

work = 3977.488 J

Therefore, the work done by the teenager to get to your room is approximately 3977.5 joules.

Without experiencing a major change in its orbit, the moon would keep revolving around the sun in the same direction.

If the Earth was suddenly removed from the solar system, the moon would continue to move in its current orbit. This is because the moon's orbit is not only influenced by the gravitational pull of the Earth, but also by the gravitational pull of the sun. The gravitational force of the sun on the moon is much stronger than the gravitational force of the Earth on the moon, as the sun is much more massive than the Earth.

Therefore, the moon would continue to orbit around the sun in its current path, without any significant change in its orbit. However, the absence of the Earth would cause significant changes in the rest of the solar system, as the gravitational interactions between the planets would be altered.

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Answer : The man is pushing this boulder to the right, but it will not move, The net force is acting to the left. The correct answer is option D

The net force acting on the boulder is the vector sum of all forces acting on the boulder. In this case, since the man is pushing the boulder to the right, there is an applied force to the right.

However, if the boulder is not moving, the net force must be zero, meaning that there must be an equal and opposite force acting to the left. Therefore, the correct statement is: The net force is acting to the left.

To understand this, we must consider the two components of net force: magnitude and direction. The magnitude of the net force is determined by how hard the man is pushing the boulder, while the direction is determined by the vector sum of all forces acting on the boulder.

Therefore, the correct statement is: The net force is acting to the left.

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The correct answer is B. The system did 800 J of work.

ΔU = Q - W

we are given that ΔU = 600 J and Q = 1400 J.

W = Q - ΔU

W = 1400 J - 600 J

W = 800 J

Thermal energy is a type of energy that is related to the temperature of a system or object. It is a form of kinetic energy that results from the movement of particles in a substance. The faster the particles move, the higher the temperature and the greater the thermal energy of the substance.

In physics, thermal energy is often associated with heat transfer between two objects that are at different temperatures. This transfer of energy can occur through conduction, convection, or radiation. For example, when you touch a hot stove, the thermal energy from the stove is transferred to your hand, causing a sensation of heat.

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The distance between the object and the mirror is 13.96 cm, given to 3 significant figures.

The given data are as follows:Object height, h1= 4.50 cmFocal length of the convex mirror, f = −(5.25a) Magnification, m = 1/(2b)We are supposed to find the distance between the object and the mirror, u using the mirror formula. We can use the formula,1/f = 1/u + 1/vSince the mirror is convex, the focal length f is negative.

Therefore, substituting the values in the formula, we get,1/(-5.25a) = 1/u + 1/v⇒ −0.1905 = 1/u + 1/v…… (1)The magnification of an object is given by,m = −v/u where, m is the magnification, u is the distance of the object from the mirror and v is the distance of the image from the mirror. Substituting the values of m and solving for v, we get,v = m×u= (1/(2b))×u…… (2)

We are now supposed to solve the above equations to find the value of u. To do that, we have to substitute equation (2) into (1). On substituting, we get,−0.1905 = 1/u + 1/[(1/(2b))×u]Simplifying the above equation and cross multiplying, we get,(1/(2b))u − 0.1905u = −1On further simplification and solving for u, we get,u = 13.96 cm…… (3).

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Answer:

We can use the impulse-momentum theorem to solve this problem, which states that the change in momentum of an object is equal to the impulse applied to it. The impulse is given by the area under the force vs. time graph, which is shown in the figure.

First, we need to find the initial momentum of the car. Since the car is moving only in the x-direction, we can use the equation:

p_initial = m*v_initial

where p_initial is the initial momentum, m is the mass of the car, and v_initial is the initial velocity of the car. Plugging in the given values, we get:

p_initial = (0.250 kg)(0.860 m/s) = 0.215 kgm/s

Next, we need to find the change in momentum of the car, which is equal to the area under the force vs. time graph. We can approximate this area by dividing it into two triangles and a rectangle, as shown in the figure. The total area can be found as follows:

area = (1/2)(20 N)(0.002 s) + (20 N)(0.004 s) + (1/2)(10 N)(0.002 s)

= 0.06 Ns

Finally, we can use the impulse-momentum theorem to find the final momentum of the car, which is given by:

p_final = p_initial + impulse

where impulse is the area under the force vs. time graph. Plugging in the values, we get:

p_final = 0.215 kgm/s + 0.06 Ns = 0.275 kg*m/s

Since the mass of the car doesn't change during the collision, we can use the equation for momentum to find the final velocity of the car:

p_final = m*v_final

Solving for v_final, we get:

v_final = p_final / m = 0.275 kg*m/s / 0.250 kg = 1.1 m/s

Therefore, the magnitude of the velocity, or final speed of the car in the collision, is 1.1 m/s.

Explanation:

a few images below to understand.