The total displacement is 48m in a direction 30° south of east.
What is total displacement?Total displacement is the vector sum of all individual displacements that an object has undergone during a certain period of time.
To calculate this, we first need to calculate the displacement when running north for 10m. That would be 10m in a direction of 0° (due north).
Next, when running east for 30m, the displacement would be 30m in a direction of 90° (due east).
Finally, when running in a direction 37° south of east for 34m, the displacement would be 34m in a direction of 37° south of east.
Now to calculate the total displacement, we need to add the vector components of each of these three displacement vectors together.
The x component of the total displacement is 10m + 30m + (34m * cos(37°)) = 48m.
The y component of the total displacement is 0m + 0m + (34m * sin(37°)) = 31m.
Using the Pythagorean theorem, we can calculate the magnitude of the displacement vector to be sqrt(48^2 + 31^2) = 59.48m.
To calculate the direction of the displacement vector, we can use the inverse tangent function, arctan(31/48) = 30.14°.
Therefore, the total displacement is 48m in a direction 30° south of east.
To learn more about total displacement
https://brainly.com/question/28280507
#SPJ4
The distance (miles) a rider travels on a mountain trail is given by s(t) = 3t^3 + 2t^2 + 4. What is the rider's acceleration after two minutes?
A.
36 miles/min2
B.
38 miles/min2
C.
40 miles/min2
D.
44 miles/min2
Answer:
To determine the rider's acceleration after two minutes, we need to find the second derivative of the distance function s(t) = 3t^3 + 2t^2 + 4 with respect to time. In other words, we need to find the rate of change of the rider's velocity.
The first derivative of s(t) with respect to time is v(t) = 9t^2 + 4t.
The second derivative of s(t) with respect to time is a(t) = 18t + 4.
Now that we have the second derivative, we can find the acceleration after two minutes.
a(2) = 18(2) + 4 = 40 miles/min^2
Therefore the rider's acceleration after two minutes is C. 40 miles/min^2
how did the ancients know the planets were different from the stars? choose one: a. they saw that the planets move with respect to the stars over the course of many nights. b. the planets have a larger angular size in our sky than the stars. c. they observed moons orbiting around the planets. d. they noticed that the planets orbit the sun, while the stars do not.
The correct answer is option d. The ancients realized that stars did not revolve around the Sun like the planets do, and thus arrived at this conclusion.
One of the ways the ancients knew the planets were different from the stars was by observing their motion in the night sky. Unlike stars, which appear stationary in the sky, the planets were observed to move along a regular path relative to the stars. This movement was known as planetary retrograde and could be observed over the course of many nights.
The ancients also noticed that the planets have a larger angular size in our sky than the stars. This made them more easily distinguishable and allowed them to be distinguished from the stars.
Finally, the ancients noticed that some of the planets had moons orbiting them, which none of the stars did. This was a key factor in distinguishing the planets from the stars.
All in all, the ancients knew the planets were different from the stars by observing their movement in the night sky, noticing the angular sizes, and observing the moons orbiting some of the planets. By understanding these phenomena, the ancients were able to catalog the heavenly bodies and give them each a name.
Learn more about planets here:
https://brainly.com/question/29765555
#SPJ4
2. the water level of a tank on a building roof is 20 m above the ground. a hose leads from the tank bottom to the ground. the end of the hose has a nozzle, which is pointed straight up. what is the maximum height to which the water could rise? what factors would reduce this height?
The maximum height of the water after coming out of the nozzle is affected is by the initial speed and the value of the
The water level of the tank on the building is 20m. The hose leads from the tank bottom to the ground and leads to the nozzle that is point to the top.
Here, we know, the energy will also be conserved because the there is o external force, so the kinetic energy at the top will be equal to the potential energy at the bottom in the ideal case.
Now, we can write,
1/2mv² = mgh
v = √(2gh)
g is the acceleration due to gravity and the h is the height of the tank.
Putting values,
v = √(2 x 10 x 20)
v = 20 m/s
Now, we can use the equation of motion,
v = √(2hg)
h = v²/2g
v is the speed of the water from the nozzle.
h = 10m.
This is because we have considered the ideal case where there is no energy loss, so water will go till a height of 10m when it comes out of the nozzle. The height rise is affected by the initial speed.
To know more about speed, visit,
https://brainly.com/question/13943409
#SPJ4
A 77.0 kg woman, initially at rest, slides
down a 42.6 m long waterslide inclined
at 42.3°. At the bottom, she is moving
20.3 m/s. How much work did friction
do on the woman?
Answer:
5.791244495 KNm
Explanation:
hope it helps
Answer:
-5770
Explanation:
other guy is trash
the austonian links to an external site.is the second tallest building in austin. legend says that during a cold morning in january, if you drop a rock from the top of the building, you will hear the sound of its impact seconds later. can we use this information to determine the height of the austonian? let's try!
No, we are unable to estimate the austonian's height using this information.
Its Austonian height makes it the second-tallest structure in Texas, behind The Independent, and the second-tallest all-residential structure in North America, west of the Mississippi River.
The second-tallest structure in Austin is the Austinian, which has a connection to an external site. According to a tale, if you drop a rock from the top of a building on a chilly January morning, you will hear the sound of its hit seconds later.
The 58-story Independent, which is 690 feet (210 m) tall and has 58 stories, is the tallest finished structure in the American city of Austin, Texas. After Houston and Dallas, it is the tallest skyscraper in Texas and the tallest all-residential tower west of the Mississippi River. It was completed in 2019.
height of austonian = 16[tex]t^{2}[/tex].
t = [tex]\sqrt{H}[/tex]/4.
Learn more about height:
brainly.com/question/10726356
#SPJ4
calculate the average density of the earth in g/cm 3 , assuming our planet is a perfect sphere. (b) in about 5 billion years, at the end of its lifetime, our sun will end up as a white dwarf that has about the same mass as it does now but is reduced to about 15,000 km in diameter. what will be its density at that stage?
The average density of the Earth in g/cm3 is 5.51 g/cm3 and the density at the stage when the sun will end up as a white dwarf in diameter is [tex]1.1X10^{6} g/cm^{3}[/tex].
For solving the part (a) of the question, we know that,
Mass of the Earth: 5.97x [tex]10^{24} \\[/tex] kg.
Radius of the Earth: 6.37 x [tex]10^{6}[/tex] m.
The formula of the density is :
Density = Mass/ Volume.
Here, Volume is 4/3 [tex]\pi[/tex][tex]r^{3}[/tex].
Substituting all the values written above in the density equation,
Density is 5.51 g/cm3 .
For solving the part (a) of the question, we know that,
Mass of the Sun: 1.99x [tex]10^{30} \\[/tex] kg.
Radius : 7500 km
The formula of the density is :
Density = Mass/ Volume.
Here, Volume is 4/3 [tex]\pi[/tex][tex]r^{3}[/tex].
Substituting all the values written above in the density equation,
Density is 1.1X10^{6} g/cm^{3}.
Learn more about density:
brainly.com/question/29775886
#SPJ4
a tin can has a volume of 1100 cm3 and a mass of 80 g. approximately how many grams of lead shot can it carry without sinking in water?
The tin can carry approximately 880 grams of lead shot without sinking in water.
To calculate this: Start with the equation for buoyancy: Buoyant force = Density of fluid x Volume x Gravity
Substitute in the values for the tin can: Buoyant force = Density of water x 1100 cm3 x 9.8 m/s^2
Convert the volume to liters: 1100 cm³ = 1.1 liters
Substitute in the density of water (1 g/cm^3): Buoyant force = 1 x 1.1 x 9.8
Solve for the buoyant force: Buoyant force = 10.78 N
To find the maximum weight of lead shot that the can carry without sinking, subtract the weight of the can (80 g) from the buoyant force (10.78 N) and convert it to grams: 898 g
So the tin can carry approximately 898 grams of lead shot without sinking in water.
For more questions like Density click the link below:
https://brainly.com/question/22980891
#SPJ4
a 1687 kg car is traveling down the road at 96.6 km/h. while traveling at this rate of speed, what is the kinetic energy of this vehicle in kilojoules?
The kinetic energy of this vehicle is 605.835 KJ when its mass is 1687 kg and traveling at speed of 96.6 km/h.
Given,
mass of the car, m = 1687 kg
speed, v = 96.6 km/h
we know that, Kinetic energy
KE = 1/2 mv²
But we need KE in Joule or KJ
so first we convert km/h to m/s
v = 96.6 km/h = 96.6 x (1000/3600) m/s
v = 26.8 m/s
Now,
KE = 1/2 x 1687 x (26.8)²
or KE = 605835.44 Joule = 605835.44 x 10⁻³ Kilojoule
or KE = 605.835 KJ
Therefore, the kinetic energy of this vehicle is 605.835 KJ when its mass is 1687 kg and traveling at speed of 96.6 km/h.
To learn more about kinetic energy:
https://brainly.com/question/20591018
#SPJ4
a conducting sphere with an interior cavity has been given a charge of 2.0 nc. what is the charge on the inner surface of the sphere?
The charge on the inner surface of the sphere is +2nC because the charge on the interior cavity is 2.0nC.
A law that connects the distribution of electric charge to the resulting electric field is known as Gauss's law, commonly referred to as Gauss' flux theorem.
In its integral form, it asserts that the flux of the electric field out of any closed surface, regardless of how that charge is distributed, is proportional to the electric charge enclosed by the surface. In situations where symmetry requires uniformity of the field, it may be possible to determine the electric field throughout a surface encompassing any charge distribution despite the fact that the law alone is insufficient to do so.
When there is no such symmetry, Gauss's law, which states that the electric field divergence is proportional to the local density of charge, can be applied in its differential version.
The complete question is attached.
Want to know more about the charge visit the link which is given below;
https://brainly.com/question/3412043
#SPJ4
find the time it takes the electron to travel through the region of the electric field, assuming it does not hit the side walls
The time taken by the electron is [tex]3.33*10^{-8} seconds[/tex] .
Complete question:
An electron traveling at [tex]3*10^{6} m/s[/tex] enters a 0.1 m region with a uniform electric field. Find the time it takes the electron to travel through the region of the electric field, assuming it does not hit the side walls.
(See the figure attached)
Since, no field and hence no force act on the electron along X-direction.
Hence, [tex]v_{x}[/tex] remains constant.
Now time taken = t = l/[tex]v_{x}[/tex]
Where,
l = length of field = 0.1 m
v = speed of electron = [tex]3*10^{6} m/s[/tex]
Putting this value in above equation, we get t = [tex]3.33*10^{-8} seconds[/tex] .
Electrostatics is a branch of physics that deals with the phenomena and properties of stationary or slow-moving electric charges. Electrostatic phenomena arise from the forces that electric charges exert on each other and are described by Coulomb’s law.Even though electrostatically induced forces seem to be relatively weak.To know more about electrostatics visit:
https://brainly.com/question/29822448
#SPJ4
suppose a 3000 cm3cm3 container holds 7.0 gg of nitrogen gas at a pressure of 200 kpakpa. the gas can be heated at constant pressure if a piston moves outward to let the gas expand as it's heated. alternatively, the gas can be heated at constant volume if the piston is locked in place to prevent expansion. how does the heat required for one of these processes compare to the heat required for the other process?
The gas can be heated at constant pressure if a piston moves outward to let the gas expand as it's heated. Alternatively, the gas can be heated at constant .
Define constant pressure?
The term isobaric has been derived from the Greek words “iso” and “baros” meaning equal pressure. As such, the constant pressure is obtained when the volume is expanded or contracted. This basically neutralizes any pressure change due to the transfer of heat.At constant pressure, an isobaric process occurs. The force exerted is constant since the pressure is constant, and the work done is expressed as PΔV. Heat should be delivered into the system at a specific pace if gas is to expand at a certain pressure of an isobaric expansion.Saying that the gases are at constant pressure means that the pressures do not vary with spatial position within the cylinder. Both gases occupy the entire volume, and, as you said, they exert unequal pressures. The pressure that a gas exerts within a mixture is called its partial pressure.To learn more about pressure refers to:
https://brainly.com/question/28012687
#SPJ4
Marcus wants to test the effect of gravity on objects with different masses. He drops two footballs from a first-floor window, a second-floor window, and a third-floor window. In each case, he times how long it takes the footballs to reach the ground. What is wrong with his experiment’s design?
A.) The windows are not high enough to show significant differences in drop times.
B.) The drops are not repeated.
C.) It does not include objects with different shapes.
D.) It does not include objects with different masses.
Answer: (D.) It does not include object with different masses
Explanation:
It does not include objects with different masses. Therefore, option D is correct.
What is gravity?The force that pulls items toward the center of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity. A universal, non-contact force, gravity. The gravitational pull of the Earth keeps everything on its surface.
All objects with mass, including our Earth, really bend and curve spacetime, which is what causes gravity to pull you toward the ground. What you experience as gravity is that curvature. If things of different masses are dropped from the same height, they will still impact the ground at the same time because Earth provides everything with the exact same acceleration.
One thing that is wrong about Marcus' experiment is that it does not include objects with different masses. Therefore, option D is correct.
Learn more about gravity, here:
https://brainly.com/question/14874038
#SPJ2
3. Luke writes a very important note to Tyreke, who sits 5.8 m away, and folds it into a
paper airplane. The message must get there before the bell, in 6.5 seconds! At what
speed must he fly the paper airplane?
Distance traveled time is 4 meters per second.Count the number of seconds it would take the plane to fly a mile and convert that number to seconds.
How do you calculate distance traveled by an Aeroplane?The formula in this situation is Distance = Rate/Time.Rate (or Speed) times Distance traveled time.Adding together the distances covered by each plan results in a total distance of 1275 km.Though each flight takes 1.5 hours to complete, the planes' velocities are different by a hundred kilometers per hour.
The speed, in meters per second, of a paper airplane that flies 24 meters in 6 seconds will be 4 meters per second.
Distance traveled by airplane = 24 meters.
Time taken = 6 seconds
Therefore, the speed will be:
= Distance / Time taken
= 24 meters / 6 seconds
= 4 meters per second.
To learn more about Distance traveled refer
https://brainly.com/question/13151761
#SPJ1
why should you only use the fine focus when trying to put a specimen in sharp focus when using the 40x objective lens?
Using the fine focus when trying to put a specimen in sharp focus when using the 40x objective lens ensures that the specimen is brought into focus as accurately and precisely as possible.
This knob is used to adjust the specimen's focus. Additionally, it is used to highlight specific areas of the specimen. The coarse focus knob should often be used to get near before switching to the fine focus knob for fine tweaking.
The fine focus allows for a much finer adjustment of the specimen's position to be made, which is necessary when using a higher magnification objective lens like the 40x.
To know more about fine focus here
https://brainly.com/question/28506372
#SPJ4
Hermann ebbinghaus’ research would most likely predict that?
Mike would rapidly forget most of the material that he read. Dr. Ummel conducts a memory experiment where he shows a fight between two men and describes the contact as "punching" to one group and "tapping" to the other group.
What is meant by memory ?
The capacity or method for repeating or recalling what has been learnt and retained, particularly through associative mechanisms. As he got older, his memory started to fail.Sensory memory, short-term memory, and long-term memory are the three basic types of memory that are discussed.Memory is the capacity to retain and recall knowledge when necessary. Working memory, short-term memory, long-term memory, and sensory memory are the four main categories of memory.Storage refers to where long-term data is kept, whereas memory refers to where short-term data is kept. The term "memory" is most frequently used to describe the main storage on a computer, such as RAM. Information is also processed in memory.To learn more about memory refer to
https://brainly.com/question/25040884
#SPJ4
A spider monkey (mass 40 kg) is frolicking through the jungle at a speed of 3. 0 m/s. All of a sudden, a panther appears and tries to eat the monkey. The monkey begins to run frantically—now he has a speed of 14. 0 m/s. How much work does the monkey do to increase its speed?
When a panther appears and attempts to eat the monkey, the monkey performs 3740 J of work to increase its speed.
What is work?Work in physics is the energy transferred to or from an object by applying force along a displacement. In its most basic form, work equals the product of force strength and distance traveled for a constant force aligned with the direction of motion. Work is the transfer of energy caused by a force acting on an object as it moves. The work done by a force on an object is calculated as the product of the magnitude of the force multiplied by the magnitude of the displacement multiplied by the cosine of the angle between them.
Here,
W=1/2mv1²-1/2mv2²
=1/2*40(14²-3²)
=3740 J
The monkey does 3740 J of work of increase its speed when a panther appears and tries to eat the monkey.
To know more about work,
https://brainly.com/question/21114262
#SPJ4
A woman wearing an in-ear hearing aid listens to a television set at a normal volume of approximately 60 dB. To hear it, she requires an amplification of 30 dB, so the hearing aid supplies sound at 90 dB to the ear canal, which we assume to be circular with a diameter of 7. 0 mm. What is the output power of the hearing aid?
The output power of the hearing aid is approximately 1.6 micro-watts.
What is the sound level supplied to the ear canal by the hearing aid?
The sound stage furnished to the ear canal by using the hearing resource is ninety dB. This is precise within the trouble assertion, in which it's miles said that the female calls for an amplification of 30 dB to pay attention the tv set at a regular extent of 60 dB. Consequently, the hearing resource materials sound at ninety dB to the ear canal. The sound degree is measured in decibels (dB) and is used to specific the relative loudness of a sound. The higher the decibel degree, the louder the sound is.
A sound stage of 90 dB is considered loud and can reason harm to the ears if uncovered to it for an extended time frame.
Lets find the intensity as follows,:
β = 10log( I / Io) where Io = 10^-12 W/m^2
90dB = 10log( I / 10^-12 W/m^2)
9 = log ( I / 10^-12)
10^9 = I / 10^-12
I = .001 W/m^2
Put this into the equation of I = P/a
The diameter is .0076m so the radius us .0038m
a = pi(.0038^2) = 4.534x10^-5 m^2
Then we multiply that by the intensity above
(.001 W/m^2)(4.534x10^-5 m^2) = 4.534x10^-8 W
output power of the hearing aid = 4.534x10^-8 W
To know more about Amplification visit:
brainly.com/question/30326707
#SPJ4
the maximum amount of weight a jack can lift is called its
The "Load Capacity" of a jack refers to the greatest weight it can support. Maximum weight of cargo that has been authorised by the country where the vehicle was registered.
Define the term Load Capacity?We can determine the necessary minimum capacity for a trailer jack by analysing the concentration of loads in a typical trailer.
The capacity should take into consideration both the jack's responsibility to sustain the weight and the lifting mechanism's capability to lift it.The tongue of a conventional trailer is designed to support 10% to 15% of a gross trailer weight when the trailer is positioned horizontally. Take the gross trailer weight then multiply it by the number of trailer jacks required to support the trailer. 15 to determine the tongue's theoretical weight. Choose a jack with a safety margin with which you are familiar with and that can support that weight.Thus, the "Load Capacity" of a jack refers to the greatest weight it can support.
To know more about the Load Capacity/limit, here
https://brainly.com/question/30088507
#SPJ4
A person kicks a rock off a cliff horizontally with a speed of 21m/s. If the height of the cliff is 85 meters, find Time and range
The time spent in the air by the rock is 4.2 seconds.
The range of the of the rock's motion is 88.2 m.
What is the time of motion of the rock?
The time spent in the air by the rock is its time of motion and it is calculated as follows;
t = √ ( 2h / g )
where;
h is the height of fallg is acceleration due to gravityt = √ ( 2 x 85 / 9.8 )
t = 4.2 seconds
The range of the of the rock's motion is calculated as follows;
x = vt
x = 21 m/s x 4.2 s
x = 88.2 m
Learn more about range of projectile here: https://brainly.com/question/12870645
#SPJ1
consider steady one-dimensional heat conduction through a cylindrical or spherical layer. what can you say about the rate of heat transfer through the layer
The rate of heat transfer through the layers of the cylinder will be constant.
There is no heat flow from the sides of the object. The cross-sectional area of a body in the direction of heat flow is constant. This is called one-dimensional heat flow because the temperature of a body is a function of only one dimension (distance from each side of the body). Heat transfer from the hot combustion gases includes forced convection through the hot gas boundary layer, conduction through the cylinder wall, and forced convection (including boiling) into the coolant liquid in head, engine block, and piston.
Learn more about the heat transfer in
https://brainly.com/question/13433948
#SPJ4
Am I doing this right? I am trying to find the current, did I even draw the circuit right?
By disassembling the circuit and connecting a "ammeter" in series (or in-line) with it, all of the electrons that are flowing through the circuit must also pass through the meter in order to measure current in the circuit.
In a circuit, how do you determine the current?The formula V = IR is something you should be aware of. By dividing the voltage by the resistance, or I = V/R, you may quickly determine the current value from the equation.By disassembling the circuit and connecting a "ammeter" in series (or in-line) with it, all of the electrons that are flowing through the circuit must also pass through the meter in order to measure current in the circuit.For domestic circuits using 120 volts, the maximum electrical flow that a circuit is intended to handle is typically 15 or 20 amps. Compared to 15-amp circuits, 20-amp circuits require bigger wires.To learn more about current refer to:
https://brainly.com/question/24858512
#SPJ1
can i run my car's air conditioning while waiting a few minutes before i attempt to deflood the car engine again?
You can run the car’s air conditioning before attempt to unflood the car engine.
If you aren't short on gas, you can leave your car idling with the air conditioner on for as long as you wish. However, you shouldn't do this with the engine off, since this will quickly drain the battery and leave you in need of a jumpstart. Internal Combustion Engines (ICEs) that have been flooded with too much fuel are rendered inoperable. Sometimes, giving a flooded engine some time to dry out is the best solution.
You can let the excess gas out of your car by opening the hood and leaving it that way for as long as possible. After waiting around 20 minutes, try to start the car up again without pressing the gas. If that doesn't work, you might want to inspect the spark plugs.
To learn more about flooded engine, click here:
https://brainly.com/question/5762559
#SPJ4
After landing on Mars, you drop a marker from the door of your landing module and observe that it takes 2.1 ss to fall to the ground. When you dropped the marker from the module door on Earth, it took 1.3 ss to hit the ground.
What is the magnitude of the acceleration due to gravity near the surface of Mars?
The magnitude of the acceleration due to gravity near the surface of Mars is[tex]2*d / 4.41s^2[/tex].
How to calculate acceleration?To calculate the acceleration due to gravity near the surface of Mars, we can use the equation:
d = 1/2 * a * t^2
Where d is the distance fallen, a is the acceleration due to gravity, and t is the time taken to fall.
We know that on Earth, the marker took 1.3s to fall to the ground and on Mars it took 2.1s. We also know that the distance fallen is the same on both planets, since the marker was dropped from the same height. Therefore, we can set the distance fallen equal on both planets and use the equations above to solve for the acceleration due to gravity on Mars:
d = 1/2 * a_Earth * (1.3s)^2 = 1/2 * a_Mars * (2.1s)^2
a_Mars = 2d / (2.1s)^2
a_Mars = 2d / (4.41s^2)
Where d is the distance fallen and a_Earth = 9.8 m/s^2 is acceleration due to gravity on Earth.
Therefore, the magnitude of the acceleration due to gravity near the surface of Mars is [tex]2*d / 4.41s^2[/tex]
To know about acceleration visit:
https://brainly.com/question/12550364
#SPJ4
Which equation can you use to calculate the mechanical advantage of a simple machine?
MA = delta x1 / delta x0
MA = delta xi - delta x0
MA = delta xi * delta x0
MA = delta x0 / delta x1
The equation that can be used to calculate the mechanical advantage of a simple machine is as follows: MA = delta x0 / delta x1 (option D).
How to calculate mechanical advantage?Mechanical advantage is the ratio of the output force produced by a machine (especially a simple machine) to the applied input force.
The mechanical advantage (MA) is used to analyze the forces in simple machines like levers and pulleys.
Mechanical advantage = Fo/Fi
Where;
Fo = output forceFi = input forceAccording to this question, option D best describes the equation that can be used to calculate the mechanical advantage of a simple machine.
Learn more about mechanical advantage at: https://brainly.com/question/16617083
#SPJ1
Which of these is a benefit of desalination technology?
• A. Toxic salty residue
• B. High energy cost
• C. Fresh drinking water
O D. High financial cost
Desalination removes potentially harmful minerals and chemicals in addition to the salt that is present in your water.
What advantages does desalination technology offer? The fact that a desalination plant makes drinking water readily available to people who need it most is undoubtedly one of its main advantages.Even in countries with access to fresh water, this holds true whether there is a drought or a natural calamity.Desalination removes potentially harmful minerals and chemicals in addition to the salt that is present in your water.Physical separation of microorganisms by chemical processes is used to remove them.In addition to removing salt, desalination also gets rid of potentially dangerous metals, chemicals, and microorganisms from your water source.By physically rejecting bacteria via chemical processes, it eliminates microorganisms.To learn more about desalination technology refer
https://brainly.com/question/26016496
#SPJ1
a 1.50 v battery supplies 0.450 w of power to a small flashlight for 20.0 min. (a) how much charge (in c) does it move?
The total number of charges moved to power up the light for 20 min is 3.75 x 10¹⁹
The voltage of the battery = 1.50 V
The power supplied by the battery = 0.45 W
The flashlight will glow for 20 min
The total number of charges moved during the flashing of the flashlight can be found using the formula,
I = P/V
where I is the current
P is the power
V is the voltage supplied
We also know that,
I = Q/t
Let us substitute this equation, with the above equation, and we get
Q = Pt/V
Now, let us substitute the known values in the above equation, we get
Q = 0.45 x 20 / 1.50
= 9 / 1.50
= 6 C
Then, the number of charges is
n = Q/e
where e is the charge of an electron
n = 6 / 1.6 x 10⁻¹⁹
= 3.75 x 10¹⁹
Therefore, the number of charges moved is 3.75 x 10¹⁹
Learn more about the charges in
https://brainly.com/question/27171238
#SPJ4
what are the two main metals that make up the outer and inner core?
The core is almost entirely comprised of metal, notably iron and nickel, in contrast to the crust and mantle, which are rich in minerals. The iron-nickel alloys in the core are denoted by the chemical symbols NiFe.
The densest sort of solid matter in space is metal. They are often made of heavier metals that have not undergone chemical fusion. Iron and nickel are the most frequent metallic elements that have not yet been mixed, at least inside our Solar System. As we can see from Earth's structure, metals may be liquid like rocks in the hot cores of huge bodies. Consequently, the iron- and nickel-rich metals dominate the core. In the case of Earth, we know that the metal is melted in the outer core, yet there is high-pressure solid metal within that liquid (inner core).
To learn more about metals click here https://brainly.com/question/28650063
#SPJ4
there exists a point near two charges where the electric field is equal to zero. is the electric potential at that same point also equal to zero?
The electric potential at that same point also equal to zero where electric field is also zero.
The work energy required to carry a unit of electric charge from a reference point to a particular point in an electric field is known as the electric potential (also known as the electric field potential, potential drop, or the electrostatic potential). It is, more specifically, the energy per unit charge for a test charge that is so small that the disturbance of the field under investigation is insignificant.
The expression for electric potential at a point due to a charge Q is given as,
[tex]P=K\times\frac{Q}{R}[/tex]
while expression for electric field at the same point is,
[tex]E=K\times\frac{Q}{R^{2} }[/tex]
And the resultant electric potential or field will be the vector sum in the case of electric field and algebraic sum in the case of potential. Because, electric field is a vector quantity and electric potential is a scalar quantity.
So, zero electric field does not guarantees that electric potential will also be zero. It will depend on the distance (r) of the point from the two charges.
Learn more about electric field
brainly.com/question/15800304
#SPJ4
the volume of a gas is proportional to the temperature of a gas is known as
Charles's law means that the volume of a gas is directly proportional to its absolute temperature
Simple Gas Laws - Boyle's Law, Charles' LawBoyle's Law tells us that the volume of a gas increases as the pressure decreases. Charles's law tells us that the volume of a gas increases with increasing temperature
This is stated by Karl's law, also known as the law of volumes
For a dry gas sample, its volume and Kelvin temperature are directly proportional if the pressure is kept constant
Mathematical representation -
[tex]\begin{equation*} PV=nRT \end{equation*}[/tex] P : is a Pressure(Pa)
[tex]\begin{equation*} V=\frac{nRT}{P} \end{equation*}[/tex] V : is volume ([tex]m^{3}[/tex])
T : absolute temperature (K)
R : gas constant [tex]\begin{equation*} 8.314K^{-1}.mol^{-1} \end{equation*}[/tex]
n : amount of substance of the gas (mole)
To know more about Boyle's Law :
https://brainly.com/question/1437490
#SPJ4
A 30 kg dog is running at 1 m/s and quickly comes to a stop when she sees her bone.
What is the work required for her to come to a complete stop?
The work required for the dog to come to a complete stop is -900 J (work = force x distance = (30 kg x 9.8 m/s^2) x (1 m))
What is the distance over which the force is applied?The distance over which the force is applied, in this case, would be the distance the dog travels as it slows down to a stop. This distance would depend on the initial velocity of the dog, the force applied to slow it down, and the amount of time it takes for the dog to come to a stop. In this case, the initial velocity is 1 m/s and the force applied is the opposite of the dog's weight, or -30 kg x 9.8 m/s^2. However, without information on the amount of time it takes for the dog to come to a stop or the deceleration of the dog, it is not possible to determine the exact distance over which the force is applied.
It is important to note that the distance over which force is applied is a scalar value and is independent of the direction of motion.
To know more about work visit:
https://brainly.com/question/19382734
#SPJ4