How many joules of energy does a 100-watt light bulb use per hour?

Answers

Answer 1
Watt is a unit of power that is a simplified form of the quotient of joules and seconds. 
  
                                    1 Watt = 1 joule / second

It is known that 1 hour is equal to 60 minutes that is also equal to 60 seconds. Converting 1 hour to second,

              1 hour x (60 minutes/1 hour) x (60 seconds/1 minute)  = 3600 sec

Thus, for every hour, there is 3600 seconds.

                                   Energy = (100 Joule/second)(3600 s)
                                   Energy = 360,000 joule

Thus, the energy emitted by the bulb is equal to 360,000 joule. 
Answer 2

A 100-watt light bulb uses 360,000 joules of energy per hour, calculated by multiplying the power (100 watts) by the time (3600 seconds) the bulb is illuminated.

To calculate the energy used by a 100-watt light bulb in one hour, you can use the relationship between watts, joules, and time. Since power (in watts) is defined as energy (in joules) per time (in seconds), we can rearrange this to find that energy is equal to power multiplied by time. For a 100-watt light bulb being on for one hour (which is 3600 seconds), the energy consumption would be 100 watts× 3600 seconds.

Therefore, a 100-watt light bulb uses 360,000 joules of energy per hour.


Related Questions

Charlie throws a ball up into the air. While the ball is airborne, which is the greatest force acting on the ball to slow it down? applied force friction force gravitational force normal force

Answers

I believe it is the gravitational force for gravity controls the speed of the object hurdling towards the ground.

Answer:

Gravitational force

Explanation:

When ball is thrown upwards then there will be two forces on the ball opposite to the motion of ball

1. Gravitational force (mg)

2. Air friction or air drag

Both forces are opposite to the motion of the ball and it will cause the decrease in the speed of the ball.

Now here due to less value of drag coefficient on the ball we will say that ball will decrease its speed more due to gravitational force compare to friction force of air.

so here correct answer would be

Gravitational force

If a catcher catches a 0.5 kg baseball moving at 17.1 m/s in his glove, what is the average force in newtons on the glove during the catch if it takes 0.1 seconds to stop the ball?

Answers

The answer is attached.

The average force on the glove during the catch of a baseball with an initial velocity of 17.1 m/s and a mass of 0.5 kg, brought to rest in 0.1 seconds, can be calculated using the impulse-momentum theorem, resulting in an average force of 85.5 newtons.

The question involves the concept of impulse and the physics of motion. In physics, impulse is equal to the change in momentum of an object when a force is applied over a duration of time. The formula to calculate the impulse J is J = Ft, where F is the average force and t is the time period the force is applied. The change in momentum can also be written as m[tex](v_f - v_i)[/tex], where m is the mass, [tex]v_f[/tex] is the final velocity, and [tex]v_i[/tex]is the initial velocity. In this scenario, the baseball's initial velocity is 17.1 m/s, the mass of the baseball is 0.5 kg, and it is brought to rest (final velocity 0 m/s) in 0.1 seconds, resulting in a change in velocity of -17.1 m/s.

Using the impulse-momentum theorem, we can calculate the average force on the glove during the catch by rearranging the impulse formula to solve for the average force F. The calculation would thus be:

F = m * ([tex]v_f - v_i[/tex]) / t

F = 0.5 kg * (-17.1 m/s - 0 m/s) / 0.1 s

F = -85.5 N (The negative sign indicates that the force is in the opposite direction of the ball's initial motion, i.e., it is a decelerating force.)

Therefore, the average force on the glove is 85.5 newtons.

What are the si units for length, mass, weight, volume, density, temperature, and time?

Answers

Length = meters
mass = kg
weight = kg
volume = m^3 (cubic meters)
density = kg/m^3 (kilograms per cubic meter)
temperature = degrees C
time = seconds

Water current has the greatest effect on which type of boat?

Answers

Water has greatest effects on DISPLACEMENT SAIL BOATS. Recreational boats are basically of two types, planing and the displacement boats. Displacement boats are designed to move smoothly on water with minimum exertion. These types of boats are very stable and they move smoothly. 
Final answer:

Water currents have the most significant effect on smaller and lighter boats such as kayaks, canoes, and dinghies as these boats have less weight and hence lower inertia, making them less capable of resisting the force of the water current. However, all types of boats, including large vessels, are affected by water currents.

Explanation:

The water current can have a great impact on different types of boats but it especially affects smaller and lighter boats like kayaks, canoes, or dinghies, which are more susceptible to being moved by currents. This is due to these boats having less weight and hence lower inertia/displacement, which means they are less capable of resisting the force of the current.

This does not mean that larger boats are not affected by water currents. Even large vessels such as cargo ships are impacted by currents. They must account for the current when navigating, and miscalculations can lead to off-course journeys and even accidents. However, changes in their courses brought about by currents are less abrupt compared to smaller boats.

The effect of water current on a boat also depends on other factors like the skill and experience of the boat operator, the boat's design, and the conditions of the water body.

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Slow-moving vehicles are prohibited from traveling on expressways or on roadways with a minimum posted speed limit greater than ______and should use the ______ lane of travel on divided highways.

Answers

Final answer:

Slow-moving vehicles should not travel on expressways or roads with a speed limit greater than 45 mph and they should utilize the rightmost lane on divided highways.

Explanation:

Slow-moving vehicles are generally prohibited from traveling on expressways or on roadways with a minimum posted speed limit greater than 45 miles per hour. This ensures safety as slow-moving vehicles can create dangerous situations if the flow of traffic is substantially faster. On divided highways, there is typically more than one lane for each direction of travel. Slow-moving vehicles are advised to use the rightmost lane, often referred to as the slow lane. This is because the left lane is usually reserved for faster vehicles and passing. Drivers in right lanes at slower speeds have an easier time allowing faster vehicles, which generally use left lanes, to pass safely.

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Cassy shoots a large marble (Marble A, mass: 0.06 kg) at a smaller marble (Marble B, mass: 0.03 kg) that is sitting still. Marble A was initially moving at a velocity of 0.7 m/s, but after the collision it has a velocity of –0.2 m/s. What is the resulting velocity of marble B after the collision? Be sure to show your work for solving this problem along with the final answer.

Answers

Conservation of linear momentum:

m*v inital = m*v final

0.06*0.7 + 0.03*0 = 0.06*(-0.2) + 0.03*v

(my algebra, or use ur calculator: 0.06*.07=0.042, etc ... or ur teacher may think you got some help)

0.06*(0.7+0.2)=0.03*v, v = 0.06*0.9/0.03=1.8 m/s

Answer 1.8 m/s (positive, to the right).

 

Final answer:

The final velocity of marble B after the collision is determined by using the conservation of momentum, which yields a resulting velocity of 1.8 m/s.

Explanation:

To solve the problem, we use the principle of conservation of momentum because no external forces are acting on the system of the two marbles. The total momentum before the collision must equal the total momentum after the collision. The equation for this is:

m1 * v1_initial + m2 * v2_initial = m1 * v1_final + m2 * v2_final

where:

m1 = Mass of Marble A = 0.06 kg

m2 = Mass of Marble B = 0.03 kg

v1_initial = Initial velocity of Marble A = 0.7 m/s

v2_initial = Initial velocity of Marble B = 0 m/s (since it is at rest)

v1_final = Final velocity of Marble A after collision = -0.2 m/s

v2_final = Final velocity of Marble B after collision (this is what we are solving for)

Plug in the known values and solve for v2_final:

0.06 kg * 0.7 m/s + 0.03 kg * 0 m/s = 0.06 kg * (-0.2 m/s) + 0.03 kg * v2_final

0.042 kg∙m/s = -0.012 kg∙m/s + 0.03 kg * v2_final

Add 0.012 kg∙m/s to both sides:

0.054 kg∙m/s = 0.03 kg * v2_final

Divide both sides by 0.03 kg to get the final velocity of Marble B:

v2_final = 0.054 kg∙m/s / 0.03 kg = 1.8 m/s

Therefore, the resulting velocity of marble B after the collision is 1.8 m/s.

A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total distance and total displacement of the boat?

Answers

The distance is 60 + 45 = 105km
The displacement is 60 - 45 = 15km

The distance is the total the car drove .
The displacement is the distance between starting point and ending point .

The answer will be c the total distance is 105

What term refers to the region of an atom where an electron is most likely to be found?

Answers

orbital also called ''Electron cloud area"

Answer:

Orbital

Explanation:

Quantum theory established that electrons doesn't follow a perfectly determined pathway in their movement around the nucleus. Rather, this theory establishes a region, called orbitals, where an electron is likely to be found in an atom.

When riding your dirt bike you run into a tree which causes your bike to immediately come to a stop. You fly over the handle bars and land a few feet away on the ground. Which law of motion is being described in this scenario?
A.Law of Universal Gravitation
B.Newton's Second Law of Motion
C.Law of Conservation of Energy
D.Newton's First Law of Motion

Answers

Newton's first law of motion. Because you fly over the handlebars and you land a few feet away on the ground. Your bike would stop immediately because of the unbalanced force.

Answer:

D). Newton's First Law of Motion

Explanation:

This is the explanation of Newton's First law or Law of inertia.

As per this law if there is no unbalanced force on a system then they system will always maintain its state of motion.

Or in other words we can say that if there is no force then the object will always maintain its state of motion i.e. if object is in motion then it will continue in motion and if object is in rest then it will continue at rest

So here when bike immediately stops then due to this law our body will continue its state and move off from the bike and fly away on the ground at some distance away.

So here correct answer will be

D).  Newton's First Law of Motion

Which of these statements is true? controlled data produces valid experiments. controlled experiments produce valid data. valid experiments produce controlled data?

Answers

Each of the choices may be considered right depending on the use of context or on how terms are defined, but the one that is most correct is:

 

"Controlled experiments produce valid data"

 

Controlled experiments are experiments in which factors which are not the interest of the study or which are not being studied are controlled or accounted for in the design, so that resulting data are less likely to be caused by some anomaly or by some variable other than those being studied. In usual research scenarios it is not the data itself that is acted upon in the experiment - it is the experiment itself, the factors and the physical processes that will eventually yield data.

Final answer:

The truthful statement is 'controlled experiments produce valid data'. This is because in controlled experiments, only a single variable is adjusted, allowing scientists to directly observe the effects, producing valid, reliable data.

Explanation:

Out of these options, the statement: 'controlled experiments produce valid data' is accurate. In a controlled experiment, researchers only change one variable at a time while keeping all other variables constant, which helps in isolating the effects of the one variable that is manipulated and facilitates the collection of valid data. Proper experimental design involves both control and experimental groups, with the only difference being whether participants are exposed to the experimental manipulation. With correct procedures and considered analysis, significant and valid data can be produced.

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Which are descriptions of gravity on Earth? Check all that apply.
an attractive force
a repulsive force
a noncontact force
a contact force
a horizontal force
a vertical force

Answers

The gravity is described by an attractive force, non-contact force and vertical force. Thus, options (a), (c) and (f) are correct.

The gravity is an attractive force that acts between the objects or particles kept on the of Earth and the Earth itself. The force is proportional to the product of masses of particles/objects and Earth. Since, the earth carry more mass, therefore, all objects are attracted towards the centre of Earth.

Gravity is an attractive force, where all the matters of Earth are attracted towards the Earth.Gravity cannot be repulsive on Earth, because earth is very heavy comparing to objects in the Earth. Thus, the repulsive force does not describe the gravity.Gravity do need the exact contact between the Earth surface and object. For example: A ball thrown in air is pulled towards the Earth due to gravity. Thus, gravitational force or gravity is a non-contact force.As discussed above, the gravitational force is non-contact force, therefore it cannot be contact force.Gravitational force or gravity always has its influence towards the downward direction rather than horizontal direction. Therefore, the horizontal force does not describe the gravity.As per above discussion, the gravity has downward influence. Therefore, it is a vertical force.

Thus, we can conclude that gravity is described by an attractive force, non-contact force and vertical force.

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Answer:

(a) Attractive Force.

(c) Non-contact force.

(f) A vertical force.

A beaker contain 200mL of water
What is its volume in cm3 and m3

Answers

The volumes are 200cm3 and 0.0002m3
A mL is equal to a cm^3, so it is 200 cm^3. To help you transfer cm^3 to m^3, use KHDBDCM. You move the decimal point twice to the left which means that it is 2 m^3.
TLDR: 200 cm^3 and 2 m^3.

Explain why the extrapolated temperature is used to determine the maximun temperature of the mixture rather than the highest recorded temperature

Answers

Final answer:

The extrapolated temperature is used to determine the maximum temperature of the mixture because it provides a more accurate estimate. The highest recorded temperature may not necessarily represent the maximum temperature due to outliers or external factors. Extrapolation allows us to estimate the maximum temperature based on the trend in the data.

Explanation:

The extrapolated temperature is used to determine the maximum temperature of the mixture rather than the highest recorded temperature because it provides a more accurate estimate. Extrapolation involves extending a trend or pattern in data beyond the existing range, based on mathematical calculations. This allows us to estimate the maximum temperature that the mixture would reach if the trend continued.

On the other hand, the highest recorded temperature may not necessarily represent the maximum temperature the mixture can achieve. It could be an outlier or affected by external factors such as experimental errors or limitations of the measuring instrument. Therefore, relying solely on the highest recorded temperature may lead to inaccurate conclusions.

For example, let's say we have a mixture that is being heated and we measure its temperature at regular intervals. The recorded temperatures show a steady increase, but eventually, the rate of increase slows down. By extrapolating the trend, we can estimate the maximum temperature the mixture would reach if the heating process continued.

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Final answer:

Extrapolated temperature is used to determine the maximum temperature of a mixture because it accurately takes into account the broad distribution of molecular speeds that emerges when masses of different temperatures are mixed. It offers a more accurate representation of the maximum temperature.

Explanation:

The reason the extrapolated temperature is used to determine the maximum temperature of the mixture, rather than the highest recorded temperature, is largely because of the way temperature distributions work. For instance, when two masses of different temperatures are mixed, the mixture is less orderly and less structured. This results in a broad distribution of molecular speeds, the average of which yields an intermediate temperature that is not necessarily the highest possible temperature. This concept can be best illustrated with blackbody curves showing the distributions of wavelengths at different temperatures. The

extrapolated temperature

takes this broad distribution into account, hence, offering a more accurate representation of the maximum temperature. With this in mind, it's clear that the extrapolated temperature provides the most accurate measurement when determining the highest temperature of a mixture.

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Suggest reasons why poaching for subsistence is likely to be less damaging to the biodiversity of an area than poaching for profit

Answers

An example for ruining a biodiversity is fishing. The two factors that have contributed to increased fishing in deep ocean waters in recent years are the human population growth and decreased fishing opportunities inshore. Increase population growth increases the demand for food which also leads to increase in fish demand. Because the fish demand is high, inshore fishing opportunities decrease that is why deep ocean waters is the new venue for fishing. This may sound absurd but poaching for subsistence is likely to be less damaging to he biodiversity of an area than poaching for profit. Because the people do not care anymore to the biodiversity that they interrupted just to get back more profit. They do not care what must be taken from it like getting bigger fishes and leaving the smaller ones behind to maintain productivity.

A star is located 12.5 parsecs away from us. What is its parallax angle? D = 1/p

Answers

Answer:

The parallax angle is 0.08 seconds of arc.

Explanation:

In the image attached you can observe where is the parallax angle placed.

Now, this parallax angle is inversely proportional to the distance measured in parsecs. That means, the greater the distance, the smaller the parallax angle.

Mathematically, it's defined as

[tex]D=\frac{1}{p}[/tex]

Where [tex]D=12.5 pc[/tex], replacing this value, we have

[tex]D=\frac{1}{p}\\p=\frac{1}{D}=\frac{1}{12.5 pc} =0.08''[/tex]

Therefore, the parallax angle is 0.08 seconds of arc.

If there is no crosswalk or limit line near an intersection, you should stop __________.

a. one car length before the corner

b. 20 ft before the corner

c. at the corner

Answers

Stop at the corner just before you enter the intersection. You don't need to pass the limit line because you are in a violation. Just stop at the corner of the back of the crosswalk and limit line. Even though there is no crosswalk you need to stop at the corner. 

Answer:

The best answer to the question: If there is no crosswalk or limit line near an intersection, you should stop _____, would be, C: at the corner.

Explanation:

This regulation is part of what is taught to drivers before they get their drivers license. In essence, the regulation says that if you come to an intersection, and there is a limit line, or a crosswalk, of course you know you must stop before moving on. The problem comes when neither a crosswalk, nor a limit lines is marked near the intersection. To solve this, the regulation states that even if there are no such limiting lines, or marks, the driver must still come to a stop at the corner, before entering the intersection. This is why the anwer is C.

Connelly cuts a solid object in half. What happens to the mass, volume, and density of the object that Connelly cuts? A)The mass and volume are both divided by two, and the density is divided by four. B) The volume is divided by two, but the mass and density do not change. C) The physical properties of the substance change, and all three properties must be re-measured. D) The mass and volume are both divided by two, but the density remains the same.

Answers

I think the correct answer would be D. After cutting the solid object in half, the mass and volume are both divided by two, but the density remains the same. The mass and volume would change accordingly to satisfy the law of conservation of mass which states that mass cannot be created or destroyed. So, after dividing the object the sum of the mass of the two parts should be equal to the original mass of the object. This would also be the same for the volume of the objects. Density is the ratio of mass and volume and, since the mass and volume change accordingly, the value of the density would still be the same regardless of the object being divided.

Final answer:

When an object is cut in half, its mass and volume are divided by two, but its density remains constant because both mass and volume change proportionately.

Explanation:

When Connelly cuts a solid object in half, both the mass and volume are divided by two. However, density, which is defined as the mass of an object divided by its volume, remains unchanged. This is because both the mass and volume change proportionately, which means the ratio of mass to volume (density) does not alter.

Therefore, the correct answer to what happens to the mass, volume, and density of the object that Connelly cuts is: D) The mass and volume are both divided by two, but the density remains the same.

Two particles oscillate in simple harmonic motion along a common straight-line segment of length

a. each particle has a period of 1.5 s, but they differ in phase by pi/6 rad. (a) how far apart are they (in terms of

a.0.50 s after the lagging particle leaves one end of the path

Answers

Assuming the two functions are sine functions.
From the problem:
T = 1.5
So
b = 2π/T
b = 2π/1.5
b = 4π/3

The first sine function has an equation
y1 = sin 4π/3x
and since they have a difference in phase of π/6, the other sine function has an equation
y2 = sin 4π/3x + π/6

Their difference is simply π/6.
If we substitute 0.5 s to each equation,
y1 = 2π/3
y2 = 5π/6

Operators must slow to no wake speed when within what distance of a u.s. naval vessel?

Answers

Recreational boaters have a role in keeping the waterways safe and secure. Violators of the restrictions can expect a quick and severe response. The operator should not approach within yards and slow to minimum speed within 500 yards of any of united states naval vessel. If the vessel need to pass within 100 yards of a united states naval vessel for safe passage, must contact the united states naval vessel or the united states coast guard escort vessel on VHF-FM channel 16. In addition,

• The operator must perceive and avoid all security areas.

• Avoid commercial port operation areas particularly those that include military cruise line or petroleum amenities. 

• The operator must perceive and avoid other controlled areas near dams, power plants, etc. 

• The operator of the vessel must not discontinue or anchor underneath bridges or in the channel. 

Answer:

500 Yards or 457.2 Meters

Explanation:

The waves created behind a boat because of its movement in the water is called as "Wake". More the speed of the vessel, more severe is the wake.The speed at which the boat will be able to move and navigate but will not be creating wake is known as  "Slow - No Wake"  speed. As per Homeland Security restrictions, any vessel must slow down to "slow-no wake" within 500 yards of any US Naval Vessel.

Which has a greater momentum: a heavy truck at rest or a moving skateboard?

Answers

A skateboard moving would have more momentum

To prevent accidental electric shock, most electrical equipment is A. painted. B. isolated. C. coated. D. grounded.

Answers

D. It is Grounded below ground 

Answer:

Grounded

Explanation:

Three wires are use while wiring and even in appliances. They are live, neutral and earthing wire.

Grounding or earthing is the process through which we safeguard us from electric shock.

The earthing wire is directly connected to a box buried in ground at certain level So any kind of leakage current that can cause shock will directly pass to the ground making equipment and humans safe.

You slam on the brakes of your car in a panic, and skid a certain distance on a straight, level road. if you had been traveling twice as fast, what distance would the car have skidded, under the same conditions?

Answers

It could be seen above that the speed of the vehicle is as twice as fast. As a rule, if the speed is doubled, the distance would likely increase. So if the speed is 2^2, it will increase the distance, having the product of 4. So the answer to the given problem above is that the distance of the car that have skidded would produce four times further.

Answer:

If the speed would be doubled, the distance traveled by the vehicle will be FOUR times. It can be proved by 3rd equation of motion.

Explanation:

When the brakes are applied, frictional force acts on the tires which decreases the speed. Eventually the car will stop. This frictional force is nearly independent of the speed hence by applying 3rd equation of motion, we can find the distance traveled.

2aS = Vf²-Vi²

[tex]S=\frac{Vf^{2}-Vi^{2}}{2a}[/tex]

For Vf=0

S=-Vi²/2a

Vi-new = 2*Vi

S-new = -(Vi-new)²/2a

S-new = -(2*Vi)²/2a

S-new = -4Vi²/2a

S-new = 4.S

Here

Vf= Final Velocity i.e. 0m/s²

Vi= Initial Velocity

a= Deceleration (Negative Acceleration)

S= Distance covered by vehicle

what term is defined as the amount of charge stored per volt?

Answers

Capacitance is a measure of charge stored per volt.

Explanation:

Capacitance of a capacitor is defined as the amount of charge stored per unit voltage. Capacitor is a device that is used to store electric charge. Its mathematical term is given by :

[tex]C=\dfrac{Q}{V}[/tex]

Q is the amount of charge

V is the voltage or potential difference

Its SI unit is farad. It consist of two conducting plates that are separated by an insulating material. If A is the cross sectional area of each of the plates that are separated by a distance d. Then capacitance is given by :

[tex]C=\dfrac{A\epsilon_o}{d}[/tex]

[tex]\epsilon_o[/tex] is the permittivity of the free space

a person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of 18 m/s. The cliff is 52 m above the water's surface. With what speed did it strike the water?

Answers

Answer:

Speed with which it strike the water = 36.66 m/s

Explanation:

Horizontal component of velocity = 18 m/s

We need to find vertical component of velocity.

Considering vertical motion of stone

Initial velocity, u =  0 m/s

Acceleration , a = 9.81 m/s²

Displacement, s = 52 m

We have equation of motion v² = u² + 2as

Substituting

   v² = u² + 2as

    v² = 0² + 2 x 9.81 x 52

    v = 31.94 m/s

Vertical component of velocity = 31.94 m/s

[tex]\texttt{Total velocity = }\\\\\sqrt{\texttt{Horizontal component of velocity}^2+\texttt{Vertical component of velocity}^2}\\\\\texttt{Total velocity = }\sqrt{18^2+31.94^2}=36.66m/s[/tex]

Speed with which it strike the water = 36.66 m/s

If a person standing at the edge of a seaside cliff kicks a stone over the edge, the speed with which the stone strike the water is 36.65 m/s.

Given the following data:

Initial horizontal velocity = 18 m/s (since the stone was kicked over the edge).Vertical displacement = 52 metersInitial vertical velocity = 0 m/s

We know that acceleration due to gravity (a) is equal to 9.8 meter per seconds square.

First of all, we would determine the vertical component of the velocity by using the third equation of motion;

[tex]V^2 = U^2 + 2aS[/tex]

Where:

V is the final speed. U is the initial speed. a is the acceleration. S is the displacement.

Substituting the given parameters into the formula, we have;

[tex]V^2 = 0^2 + 2(9.8)(52)\\\\V^2 = 0 + 1038.2\\\\V = \sqrt{1019.2}[/tex]

Vertical component of velocity = 31.92 m/s

To find the speed with which the stone strike the water, we would calculate the resultant speed by doing a vector addition of the horizontal component of the velocity and the vertical component of the velocity;

[tex]Speed = \sqrt{H^2 + V^2} \\\\Speed = \sqrt{18^2 + 31.92^2}\\\\Speed = \sqrt{324 + 1019.2}\\\\Speed = \sqrt{1343.2}[/tex]

Speed = 36.65 m/s

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Make the curvature radius 0.6 m, the refractive index 1.5, and the diameter 0.6 m. place the lamp so that the source of light is 120 cm from the middle of the lens (use the ruler). the focal length of the lens is ____________, and the focal plane is ___________ from the lens.

Answers

Final answer:

To find the focal length of the lens, the Lens Maker's Equation can be used. With the given information, we can calculate the focal length to be approximately 1.2 m. The focal plane is also located at a distance equal to the focal length of the lens.

Explanation:

To calculate the focal length of a lens, we can use the Lens Maker's Equation. The equation is given by:

1/f = (n - 1) * (1/R₁ - 1/R₂)

where f is the focal length, n is the refractive index, R₁ is the radius of curvature of the first surface, and R₂ is the radius of curvature of the second surface. In this case, the lens is plano-convex, which means one surface is flat and the other is curved. Let's assume the flat surface is the first surface and has a radius of curvature of infinity. The second surface has a radius of curvature of -0.6 m. With a refractive index of 1.5, we can plug in these values into the equation to find the focal length:

1/f = (1.5 - 1) * (1/infinity - 1/-0.6)

Since the radius of curvature of the first surface is infinity, the first term becomes zero. Simplifying the equation further, we get:

1/f = (1.5 - 1) * (0 + 1.67)

1/f = 0.5 * 1.67

1/f = 0.835

Solving for f, we find:

f = 1/0.835

f ≈ 1.2 m

The focal plane is located at a distance equal to the focal length of the lens. Therefore, the focal plane is approximately 1.2 m from the lens.

When merging onto an expressway from an acceleration lane, you should

Answers

make sure your lane is clear, merge onto and match the flow of traffic

When merging onto an expressway from an acceleration lane, you should gradually accelerate to match the speed of traffic and merge safely. Avoid excessive speed, travel during less congested times, and decelerate gradually to avoid abrupt stops.

When merging onto an expressway from an acceleration lane, you should achieve a speed close to that of the traffic on the expressway. It's important to use the acceleration lane to increase your speed to a safe level that allows you to merge into traffic without causing other drivers to brake abruptly. To ensure safety, remember to avoid high speed driving beyond the flow of traffic, travel when congestion is light to reduce the need to merge at very high speeds, and avoid unnecessary braking by smoothly accelerating up to highway speeds and planning for potential traffic conditions that allow for gradual deceleration before stops.

Observing the other drivers on the road will also help. Drivers going in the same direction as you appear to move at lower speeds — this is relative motion. However, ensure you're paying attention to your speedometer to maintain an appropriate speed. Oncoming traffic may seem to be moving much faster due to their relative speed in comparison to your vehicle, but do not let this perception cause you to speed up excessively when merging.

A car travels a distance of 45 mi with a speed of 60 mph how long did it take ?

Answers

Final answer:

To calculate time it takes the car to travel 45 miles at a speed of 60 mph, you use the formula time = distance/speed. When you plug in the values, you get 0.75 hours or 45 min.

Explanation:

To calculate the time it takes for a car to travel a certain distance at a specific speed, we use the formula time = distance/speed. Here, the distance is 45 miles and the speed is 60 mph. So it's time = distance/speed = 45 miles / 60 mph = 0.75 hours. Therefore, the car takes 0.75 hours or 45 min to travel 45 miles at a speed of 60 mph.

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What is the magnitude of the relativistic momentum of a proton with a relativistic total energy of 2.7 3 10210 j?

Answers

The equation that is applicable to this problem is expressed as 

p = γmu 

where p is the relativistic momentum, m is equal to the proton mass and u is the speed of proton. γ is equal to 1/√(1 - u²/c²) where c is the speed of light. 

Another equation to determine p fully is to use this relativistic equation:
E = γmc² 

where E is the total kinetic energy including the gamma energy.

We are given with E = 2.7 × 10^(-10) J and from a proton’s data, mc^2 = 938.27201 MeV. Using the conversion from MeV to J which is 1 eV = 1.60218 * 10^(-19) J, we compute for γ

γ=E/mc^2 =2.7 × 10^(-10) J / 938.27201x10^6 eV *(1.60218 * 10^(-19) J/eV) = 1.80

we use this number to determine u from the second equation γ = 1/√(1 - u²/c²)

we square both sides and cross multiply, resulting to
γ² (1 - u²/c²) = 1 

u²/c² = (γ² -1)/γ² 

u = c/y sq rt of (γ² -1)

u = 0.83

Substituting eventually to the first equation, we get

p = γmu 

p = 1.80 * 1.67262 * 10^(-27) kg * 0.83 * 2.99792 * 10^8 m/s 

p = 7.481 * 10^(-19) kg.m/s

Which of the following describes what occurs when energy is transferred and work is being done on an object?

Answers

The object moves.. since by definition, work is done when a force is applied and a displacement is produced. It is not D because by rule of physics, the amount of work done is equal to the energy gained, always.

The specific gravity of a product can be found on the material safety data sheet. how do you know if a product will sink in water?

Answers

Specific gravity is the ratio between the substance's density and the density of water. Being a ratio of dimensions with same units of measure, this value is unitless. 

The substance or objects sinks in water if its density is greater than that of water. On the other hand, it floats if its density is lesser compared to that of water. 

Having said so, the substance or object sinks in water if the specific gravity is greater than 1 and floats if the specific gravity is lesser than 1. 

              sinks:     SG > 1
              floats:     SG < 1
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