A bulldozer uses a 500 N force to push a load of dirt 16 m to the worksite. How much work
does the bulldozer perform?

All electrons have energy stored in them which is potential energy.

Pressure increases the electron's kinetic energy causing it to move faster and eventually jump to a wider orbit. Each electron then stores energy, which becomes potential energy. Kinetic energy can be converted into other forms of energy and vice versa. For example, kinetic energy is converted into electrical energy by a generator or into thermal energy by a car's brakes.

Energy is not destroyed or lost in the transition from potential energy to kinetic energy. It just converts from one type of energy to another type of energy. This is known as the law of conservation of energy. When a person rides a bicycle to the top of a hill, the kinetic energy of movement is converted into potential energy and stored in the bicycle at the top of the hill. The potential energy stored in the bike at the top of the hill can be used to roll the bike down the hill.

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The highest frequency of visible light in the light range from 400 nm to 700 nm is 7.5 x 10¹⁴ Hz.

To find out the highest frequency, follow the following concept of optics

f = c/λ

Where c is the speed of light, f is the wave's frequency, and λ is the wavelength of light.

For maximum frequency, we need to choose the lowest wavelength since both share an inverse relation.

f = (3 x 10⁸)/(400 x 10⁻⁹)

f  = 7.5 x 10¹⁴

Therefore, the highest frequency is 7.5 x 10¹⁴ Hz.

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Your friend's approximate volume is 0.11 m³.

To calculate your friend's approximate volume who has a mass of 110 kg and can just barely float in fresh water, we will use the formula for buoyant force, which is:

Buoyant Force = Weight

Where buoyant force can be calculated using the formula:

Buoyant Force = Density of fluid × Volume × Gravitational acceleration

Since your friend barely floats, we can assume that the buoyant force is equal to her weight, which can be calculated as:

Weight = Mass × Gravitational acceleration

Let's find the volume:

Density of fresh water = 1000 kg/m³
Mass of your friend = 110 kg
Gravitational acceleration = 9.81 m/s²

Now we can set up the equation:

1000 kg/m³ × Volume × 9.81 m/s² = 110 kg × 9.81 m/s²

Solve for the volume:

Volume = (110 kg × 9.81 m/s²) / (1000 kg/m³ × 9.81 m/s²)

Volume ≈ 0.11 m³

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Energy is transported from the tropics to the polar regions chiefly by ocean and atmospheric currents.

Ocean currents transport thermal energy from the tropics to the polar regions, while atmospheric currents transport latent and sensible heat from the tropics to the polar regions. These transfers occur through different mechanisms that rely on Earth's rotation, wind patterns, and temperature differences. The primary way in which energy is transported from the tropics to the polar regions is through ocean currents, particularly the ocean conveyor belt. This is a system of currents that circulate in the Atlantic Ocean and are driven by differences in temperature and salinity. Warm water from the tropics flows northward, where it cools and sinks, eventually returning southward at depth. This circulation helps to regulate the climate of both the tropics and the poles. Atmospheric currents also play a role in the transport of energy from the tropics to the polar regions. Warm, moist air rises in the tropics and flows poleward at high altitude, where it cools and descends. This creates a circulation pattern known as the Hadley cell, which drives the trade winds and helps to distribute heat around the globe. In the polar regions, cold, dry air descends and flows equatorward at low altitude, completing the circulation pattern.

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Answer: 17 hours

Explanation:

a) The isocost curve equation is G = (20000 - 100C)/500. b) The isocost curve equation is G = (30000 - 100c)/500. c) The isocost curve equation is G = (20000 - 100C)/375. d)  The isocost curve equation is G = (20000 - 120C)/500.

To draw the isocost curve showing the different combinations of gas and coal, we need to use the cost per unit values for coal and gas, as well as the given expenditure (TC) and the changes in expenditure or prices.

Let's denote the quantity of coal as C and the quantity of gas as G. The cost per unit of coal is 100, and the cost per unit of gas is 500.

(a) Initial expenditure (TC) of 20000:

To find the combinations of gas and coal that can be purchased with an initial expenditure of 20000, we can use the following isocost equation

TC = 100C + 500G

We can rearrange the equation to solve for G in terms of C

G = (TC - 100C) / 500

Now we can plot the isocost curve with TC = 20000 using the equation above.

(b) Expenditure (TC) increases by 50%

If the expenditure increases by 50%, the new expenditure (TC_new) becomes 1.5 × TC = 1.5 × 20000 = 30000.

We can use the same isocost equation as before, but with the new expenditure value:

TC_new = 100C + 500G

Rearranging the equation to solve for G

G = (TC_new - 100C) / 500

Now we can plot the isocost curve with TC_new = 30000.

(c) Gas price reduced by 25%:

If the gas price is reduced by 25%, the new cost per unit of gas (Gas_new) becomes 0.75 × 500 = 375.

We can use the original isocost equation, but with the new cost per unit value:

TC = 100C + 375G

Rearranging the equation to solve for G

G = (TC - 100C) / 375

Now we can plot the isocost curve with the reduced gas price.

(d) Coal price rises by 20%

If the coal price rises by 20%, the new cost per unit of coal (Coal_new) becomes 1.2 × 100 = 120.

We can use the original isocost equation, but with the new cost per unit value:

TC = 120C + 500G

Rearranging the equation to solve for G:

G = (TC - 120C) / 500

Now we can plot the isocost curve with the increased coal price.

By plotting these isocost curves on a graph with G on the y-axis and C on the x-axis, we can visualize the different combinations of gas and coal that can be purchased at the given expenditures or price changes.

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Answer:

The power used by the light powered by a 16.4 V battery when the current is 5.84 Amps is 95.456 Watts.

Answer:

1.63 X 10^-7N

Explanation:

Answer:

4800

Explanation:

The change in velocity of the car is 17-13=4m/s. Since the change in momentum is the mass multiplied by the change in velocity, the answer is 4*1200=4800. Hope this helps!

Given:

Mass,

Change in velocity,

            =  4 m/s

Now,

The change in momentum is:

= \(Mass\times Change \ in \ velocity\)

= \(1200\times 4\)

= \(4800\)

Thus the above answer is correct.

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Answer:

Q = 2.95*10^5 kJ

Explanation:

In order to calculate the energy required to melt the cooper, you first calculate the energy required to reach the boiling temperature. You use the following formula:

\(Q_1=mc(T_b-T_1)\)     (1)

m: mass of cooper = 540 kg

c: specific heat of cooper = 390 J/kg°C

Tb: boiling temperature of cooper = 1080°C

T1: initial temperature of cooper = 20°C

You replace the values of the parameters in the equation (1):

\(Q_1=(540kg)(390\frac{J}{kg.\°C})(1080\°C-20\°C)=2.23*10^8J\)

Next, you calculate the energy required to melt the cooper by using the following formula:

\(Q_2=mL_f\)         (2)

Lf: melting constant of cooper = 134000J/kg

\(Q_2=(540kg)(134000\frac{J}{kg})=7.24*10^7J\)

Finally, the total amount of energy required to melt the cooper from a temperature of 20°C is the sum of Q1 and Q2:

\(Q=Q_1+Q_2=2.23*10^8J+7.24*10^7J=2.95*10^8J=2.95*10^5kJ\)

The total energy required is 2.95*10^5 kJ

The total energy required to melt the copper is equal to \(2.95 \times 10^5\) Kilojoules.

Given the following data:

Scientifically, we know that:

To calculate the total energy required to melt the copper:

First of all, we would determine the quantity of heat energy required to reach the boiling temperature of copper.

Mathematically, quantity of heat is given by the formula;

\(Q_b = mc\theta\\\\Q_b = 540 \times 390 \times (1080-20)\\\\Q_b = 210600 \times 1060\\\\Q_b = 2.23 \times 10^8 \;Joules\)

Next, we would determine the quantity of heat energy required to melt copper.

\(Q_b = 540 \times 134000\\\\Q_b = 7.2 \times 10^6 \; Joules\)

For total energy:

\(Q_T = Q_b + Q_m\\\\Q_T = 2.23 \times 10^8 + 7.24 \times 10^7\\\\Q_T = 2.95\times 10^8\\\\Q_T = 2.95\times 10^5\; Kilojoules\)

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Answer:

The answer is Revising

Answer:

D

Explanation:

Revising

The refractive index of the eye cannot be determined with the information provided.

This refers to the value obtained from the ratio of the speed of light in a vacuum to that in a second medium of greater density.

The refractive index is also equivalent to the velocity of light c of a given wavelength in empty space divided by its velocity v in a substance.

It can be calculated using the formula:

n = c/v.

where,

n = the refractive index of the eye

c = wavelength in empty space

v = the  velocity of light

From the question:

r = 0.78 cm

i = 3 cm

The radius of curvature and the location of the image formed by an object at infinity is related to the eye's optics, but the refractive index also depends on the materials of the various parts of the eye, such as the cornea and lens.

Hence, the refractive index can also vary depending on the specific wavelength of light being considered.

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Answer:

momentum

Explanation:

the impulse is equal for both carts, the momentum for both carts is zero both before the string is cut and after it is cut

After the string is cut and the carts move apart, the magnitude of momentum is the same for both carts. Hence, option B is correct.

Momentum is the result of a molecule's mass and velocity. Being a vector quantity, momentum possesses both magnitude and the direction. As according to Isaac Newton's second equation of motion, the force applied on a particle is equivalent to the time change in velocity. 

According to Newton's 2nd law, if a particle is exposed to a constant force for a specific period of time, the result of the force and time (referred to as the impulse) is equal to the difference in momentum. In contrast, hand, a particle's momentum is a measurement of the amount of time needed for a consistent force to put it to rest.

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Answer:

r=0.01m

t=0.075n/m

f?

d=2πr

d=2×3.14×0.01

d=0.0628

T=0.075n/m

f=T×d

f= 0.075×0.0628

f=0.00471

Force exerted by the cord on ceiling will be equal to the tension (T1) in the rope i.e. 60 N

Force is an external agent able of changing a body’s state of rest or stir. It has a magnitude and a direction. The direction towards which the force is applied is known as the direction of the force, and the operation of force is the point where force is applied.

The Force can be measured using a spring balance. The SI unit of force is Newton( N).

In drugs, stir is defined as the change in position with respect to time. In simpler words, stir refers to the movement of a body. generally, stir can either be described as

Change in speed

Change in direction

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About 4.5 mol of water will be created when the platinum-based engine is run continuously at 300 K for an hour with 0.5 atm of H2 and 0.5 atm of O2 injected for each reaction.

For fuel cell engines' electrodes, platinum is a requirement. It acts as an electrocatalyst to speed up the electrochemical reactions needed to induce H2 to release electrons and form H2 ions when it is placed on porous electrodes.

Platinum is particularly well suited as a fuel cell catalyst because it makes it possible for the hydrogen and oxygen reactions to occur at an ideal rate and because it is stable enough to withstand both the intense electrical current density and the complex chemical environment found inside a fuel cell. This allows platinum to function effectively over an extended period of time.

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When two unequal masses are dropped simultaneously from the same height, then both masses will experience the same change in D: velocity.

Velocity is the prime indicator of the position and the rapidity of the object. It can be described as the distance covered by an object in a unit of time. It means that velocity is the displacement of the object in unit time. When in the case where two objects with unequal masses are dropped simultaneously from the same height, both masses will attain the same change in velocity.

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The image of your face is located 15.4 cm behind the front surface of the Christmas tree ball.

Assuming that the Christmas tree ball is a spherical mirror with a perfect reflective surface, we can use the mirror equation to find the location of the image of your face.

The mirror equation is:

1/f = 1/do + 1/di

where f is the focal length of the mirror, do is the distance of the object from the mirror, and di is the distance of the image from the mirror.

In this case, the object is your face and it is located at a distance of do = 30.0 cm from the front surface of the Christmas tree ball. The radius of the Christmas tree ball is half of its diameter, so the radius is r = 9.1 cm / 2 = 4.55 cm.

Since the Christmas tree ball is a concave mirror (since it is reflecting light inwards), the focal length is negative. The focal length of a spherical mirror is given by:

f = -R/2

where R is the radius of curvature of the mirror. For a spherical mirror with a radius of curvature R, the focal length f is equal to half of the radius of curvature, with a negative sign for concave mirrors and a positive sign for convex mirrors.

Since the radius of the Christmas tree ball is r = 4.55 cm, the radius of curvature is R = 2r = 9.1 cm. Therefore, the focal length of the Christmas tree ball is:

f = -R/2 = -4.55 cm

Substituting the values into the mirror equation, we get:

1/f = 1/do + 1/di

1/-4.55 cm = 1/30.0 cm + 1/di

Solving for di, we get:

di = -15.4 cm

The negative sign indicates that the image is located on the same side of the mirror as the object, which is consistent with the fact that the Christmas tree ball is a concave mirror. Therefore, the image of your face is located 15.4 cm behind the front surface of the Christmas tree ball.

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Answer:

14.2m/s^2

Explanation:

The centripetal acceleration of the race car is 14.22 m/s².

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.

In your daily existence, you must have encountered numerous instances of centripetal acceleration. A centripetal acceleration occurs when you drive in a circle, and a centripetal acceleration also occurs when a satellite orbits the earth. Centripetal refers to being in the center.

Given that: Speed of the race car: v = 80.0 meter/second.

Radius of the racetrack: r = 450 meter.

Hence, the centripetal acceleration of the car is = v²/r

= (80.0)²/450 m/s²

= 14.22 m/s².

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1. Look angles are the angles which help in determining the position of a satellite from an Earth Station. 2. It is preferable to operate with a satellite positioned at West rather than East of Earth station longitude because the Earth rotates from West to East. 3. An earth station is located at latitude 35°N and longitude 100°W, the antenna-look angles for a satellite at 67°W are 24.56° and 65.44° .

There are two type angles include elevation angle and azimuth angle. Elevation angle is the angle between the horizontal and the satellite position in the sky. It is measured from the Earth station towards the satellite. Azimuth angle is the angle between the Earth's magnetic North and the satellite in a clockwise direction, it is measured from the Earth station towards the satellite. Let the position of the satellite be given by its altitude, the distance of the satellite from the center of the earth and the latitude and longitude of the earth station.

When a satellite is positioned in the East of the Earth station, it would appear lower on the horizon. This would result in the line-of-sight between the Earth station and the satellite getting obstructed by any physical obstruction such as trees, buildings, etc. When the satellite is positioned in the West of the Earth station, it would be higher on the horizon, which would reduce the chances of line-of-sight obstruction.

The elevation angle is given by the formula: sin-1(sinφsinφs+cosφcosφscosΔλ) and azimuth angle is given by the formula: cos-1((sinφs-sinφcosθ)/(cosφsinθ)).

Where,Δλ = λs - λ=67-(-100)=167°θ = sin-1(cosφs sinΔλ/ cos E)E = sin-1(sinφsinφs+cosφcosφscosΔλ)

Putting the given values in the formulae, We get,Δλ = 167°E = sin-1(sin35°sin(67°W)+cos35°cos(67°W)cos167°)=28.37°θ = sin-1(cos(67°W)sin167°/ cos28.37°)= 57.03°

Azimuth angle = cos-1((sin67°W-sin35°cos57.03°)/(cos35°sin57.03°))= 70.24°

The antenna-look angle is the sum of the elevation angle and the dip angle. The dip angle is given by the formula: dip = 90° - elevation angle=90°-24.56°= 65.44°. The antenna-look angle is the sum of the elevation angle and the dip angle.= 24.56° + 65.44°= 90°. Therefore, the antenna-look angles for a satellite at 67°W are 24.56° and 65.44° for elevation and dip angles, respectively.

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Answer:

sequence

Explanation:

sequences are the way in which things are ordered, for example: 1, 2, 3, 4 is a sequence:)

Answer:

10.61 m/s

Explanation:

To find the final speed, we will use the conservation of momentum in each direction, so we can write the following equations:

Where m1 and m2 are the mass of the vehicles, v1 and v2 are their respective velocities in each direction, and Vfx and Vfy are the final velocities in each direction.

If one of the vehicles is headed north, its horizontal velocity Vx = 0 m/s. In the same way if the other is headed east, its vertical velocity Vy = 0m/s

Therefore, we can replace the values and solve the first equation as:

In the same way, we can solve the second equation as:

Now, we know that the vertical and horizontal speed was 7.5 m/s. So, we can calculate the final speed using the Pythagorean theorem as:

So, the speed after the collision was 10.61 m/s

Answer:

The person should exercise 150 minutes

Explanation:

Recall that the Lorentz factor must be applied to the relationship between the elapsed time (T) of the clock at rest (time measured on Earth), and the elapsed time (T') measured by the clock in the frame moving at 0.8 c. The equation becomes:

\(T'=\frac{T}{\sqrt{1-(\frac{0.8\,c}{c})^2 } } \\T'=\frac{90\,min}{\sqrt{1-0.8^2} } \\T'=150\,\,min\)

A transformer is used to step up or down the voltage in power lines. It uses two coils that are near but not connect to each other. The ratio of turns in the two coils determines the voltage because magnetic field produced in the primary coil interacts with the secondary coil and according to faraday's law magnetic field in the primary produces voltage in the secondary.  

Transformer is used to step up or step down the voltage by the relation

N₁/N₂ = V₁/V₂

when there is more number of turn in secondary than primary the voltage gets step and and vice verse.

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The mass of the object which is accelerating at 3.0 m/s².

Using Newton's second law of motion, which states that the force acting on an object is equal to the object's mass times its acceleration, we can calculate the mass of an object that moves under the action of a force 3.0 accelerates at m/s2. This can be written mathematically as:

F= ma

where F is the applied force, m is the mass of the object, and a is its acceleration.

We can rewrite this equation to solve for m to determine mass:

m = f/a

By substituting the specified acceleration and force values ​​into this equation, the following result can be obtained:

m = F/a = (force applied)/acceleration = (given force)/(3.0 m/s²)

Therefore, the mass of the item that is speeding at \(3.0 m/s^2\) under the effect of the force may therefore be determined using this equation if we are aware of the applied force.

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The question is in Spanish, the English translation of the question is:

What is the mass of an object that accelerates at 3.0 m/s under the influence of a force?

(i) The generator delivers a greater rms current when only the resistor is present.

(ii) The greater average power is consumed by the circuit when both the inductor and the resistor are present.

The average power consumed in the inductor-resistor series circuit is 0.0216 A.

(i) In the case where both the inductor and the resistor are present, the generator delivers a greater rms current. This is because the presence of the inductor introduces reactance, which affects the overall impedance of the circuit. The reactance of an inductor is frequency-dependent, and since the generator has a frequency of 1160 Hz, the inductor will have a significant impact on the current flow. (ii) In the case where both the inductor and the resistor are present, the greater average power is consumed by the circuit. This is because the inductor introduces reactive power to the circuit, which does not contribute to useful work but rather oscillates between the inductor and the generator. Therefore, the combination of the resistor and the inductor results in a higher total power consumption compared to when only the resistor is present.

To calculate the average power consumed in the inductor-resistor series circuit, we need to determine the total impedance of the circuit and use it to calculate the average power.

Given:

Resistance, R = 495 Ω

Inductance, L = 0.085 H

Frequency, f = 1160 Hz

Average power consumed by the resistor, P_resistor = 0.25 W

First, we calculate the reactance of the inductor using the formula X_L = 2πfL:

X_L = 2π(1160 Hz)(0.085 H) ≈ 200.34 Ω

Next, we calculate the total impedance of the circuit using the resistance and reactance:

Z = √(R^2 + X_L^2) = √(495^2 + 200.34^2) ≈ 535.23 Ω

Finally, we can calculate the average power consumed in the inductor-resistor series circuit using the formula P = I^2Z, where I is the rms current:

P = I^2Z

0.25 W = I^2(535.23 Ω)

I^2 = 0.25 W / 535.23 Ω

I ≈ √(0.000468 A)

I ≈ 0.0216 A

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Taking into account the Universal Law of Gravitation, the force of attraction between the tow objects is 8 N.

The Universal Law of Gravitation establishes that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.

The Universal Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them.

Mathematically it is expressed as follows:

\(F=G\frac{Mm}{d^{2} }\)

where:

In this case, two objects attract each other with a gravitational force of 32 newtons. The distance between the two objects is doubled.

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.

Then, if the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (d²= 2²= 4). The new force is then \(\frac{1}{4}\) of the original:

F=\(\frac{1}{4}\)×Foriginal

F=\(\frac{1}{4}\)×32 N

F= 8 N

Finally, the force of attraction between the tow objects is 8 N.

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Answer:

33.3m

Explanation:

Recall that for a regular wave, the relationship between, wavelength, frequency  and velocity (speed) is given by :

v = fλ,

where:

v = velocity (speed) of the wave = 50m/s

f = frequency of the wave = 1.5 Hz

λ = wavelength (we are asked to find this)

simply substitute the given values into the equation:

v = fλ

50 = 1.5 λ,

λ = 50/1.5

λ = 33.3m