Density of liquid is ρ = 1.735 \(g/cm^{3}\).
What is Density ?Density of liquid is determined by using formula
ρ = m/v
ρ = 34.719/20
ρ = 1.735 \(g/cm^{3}\)
It is possible to measure a material's density by how closely it is packed. The mass per unit volume is how it is formally defined. Density Symbol: ρ or ρ = m/V, where ρ stands for density, m for mass, and V for volume.
The amount of "stuff" that is contained in a certain amount of space is measured by density. In comparison to the softer, lighter element gold, a block of the heavier element lead (Pb) will have a higher density (Au). Less dense than a brick is a block of Styrofoam. Mass per unit volume is how it is referred to.
Both absolute and relative densities are common; they are the two forms of density.
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Work out the wavelength in Meters with a frequnecy of 300 MHz and speed of 3 × 10^8 m/s.
Answer:
1 m
Explanation:
The following data were obtained from the question:
Frequency (f) = 300 MHz
Velocity (v) = 3×10⁸ m/s
Wavelength (λ) =?
Next, we shall convert 300 MHz to Hz. This can be obtained as follow:
1 MHz = 10⁶ Hz
Therefore,
300 MHz = 300 MHz × 10⁶ Hz / 1 MHz
300 MHz = 3×10⁸ Hz
Thus, 300 MHz is equivalent to 3×10⁸ Hz.
Finally, we shall determine the wavelength of the as follow:
Frequency (f) = 3×10⁸ MHz
Velocity (v) = 3×10⁸ m/s
Wavelength (λ) =?
v = λf
3×10⁸ = λ × 3×10⁸
Divide both side by 3×10⁸
λ = 3×10⁸ / 3×10⁸
λ = 1 m
Therefore, the wavelength is 1 m
An object is said to move from a position of 10m East to a position of 5m west. Determine the object's distance travelled.
Answer:
5 i think
Explanation:
-. A toy rocket achieves a velocity of 55 m/s after 3 s, when fired straight up. If the average force exerted
by the engine is 28 N, what is the toy's mass?
Answer: momentum = mass × velocity; and is a vector quantity. Newton's 2nd Law : Fnet=ma. (1). so we have. F=28N. u=0ms−1. v=55ms−1. t=3s.
Explanation: we need the following results momentum = mass×velocity; and
The acceleration of the toy rocket is 18.33 m/s². Then the mass of the toy is force divided by acceleration that is 1.52 Kg.
What is force?Force is an external agent acting on a body to change its motion or to deform it. There are various kinds of forces such as frictional force, magnetic force, nuclear force etc.
According to Newton's second law of motion, the force acting on a body is the product of its mass and acceleration.
F = ma
Acceleration is the rate of change in velocity.
Given, velocity = 55 m/s
time = 3 s
acceleration = 55 m/s /3 s = 18.3 m/s²
Mass = F/a
m = 28 N/18.3 m/s² = 1.52 Kg.
Therefore, the mass of the toy rocket is 1.52 kg.
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Our eyes perceive colors because of differences in which of the following properties of light?
a)
Wavelength
b)
Intensity
c)
Source
d)
Angle
The properties of light is option a wavelength.
Wavelength:It is the distance between the points of two consecutive waves. It is usually denoted by the Greek letter lambda (λ), and it is equal to the speed (v) of a wave train in a medium divided by its frequency (f): λ = v/f.
So based on the above information, the a option is correct.
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A hot air balloon is rising with an acceleration of 3 m/sec2. The basket of the balloon has a mass of 260 kg. There are 3 people in the basket each with a mass of 70 kg. What is the tension in the cable holding the basket?
Answer: \(6016\ N\)
Explanation:
Given
Mass of basket is \(M=260\ kg\)
Mass of each person in the basket \(m=70\ kg\)
Acceleration of balloon is \(a=3\ m/s^2\)
Tension of the cable causes the bucket and 3 men to move upward with \(a=3\ m/s^2\)
So, we can write
\(\Rightarrow T-[260+3\times 70]g=[260+3\times 70]a\\\Rightarrow T=[260+3\times 70](a+g)\\\Rightarrow T=[260+210](3+9.8)\\\Rightarrow T=470\times 12.8\\\Rightarrow T=6016\ N\)
QUESTION 10 (Start on a new page.) An experiment is done to verify that the potential difference across a conductor is directly proportional to the current in the conductor if the temperature stays constant. Four cells, each with an emf of 1,5 V, are connected in series with an ammeter, switch S and a combination of a resistor R and resistors of 4 0 and 6 , as shown in the diagram. Voltmeters V₁ and V₂ are connected across the battery and the parallel resistors respectively. The internal resistance of the battery and wires are negligible. 10.1 R S 1HHHH V2 42 V₁ ΒΩ A Which law is represented by the underlined phrase above? (1)
By measuring the potential difference across the parallel resistors (V₂) and the current (I), we can verify Ohm's Law and confirm whether the potential difference is directly proportional to the current.
The underlined phrase, "the potential difference across a conductor is directly proportional to the current in the conductor if the temperature stays constant," represents Ohm's Law.
Ohm's Law states that the potential difference (voltage) across a conductor is directly proportional to the current flowing through it, given that the temperature remains constant.
Ohm's Law can be mathematically expressed as:
V = I × R
where V represents the potential difference (voltage), I represents the current, and R represents the resistance of the conductor.
In the given experiment setup, the potential difference across the combination of resistors (V₂) is measured by voltmeter V₂, and the potential difference across the battery (V₁) is measured by voltmeter V₁. The current flowing through the circuit is measured by the ammeter.
By analyzing the circuit, we can see that the four cells connected in series provide a total emf of 4 × 1.5 V = 6 V. The resistors 4Ω and 6Ω are connected in parallel, and their combined resistance (R) can be calculated using the formula for resistors in parallel:
1/R = 1/4Ω + 1/6Ω
Simplifying, we find that R = 12/5 Ω = 2.4 Ω.
According to Ohm's Law, the potential difference across the parallel resistors (V₂) should be directly proportional to the current flowing through the circuit (I), given a constant temperature.
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in which graph is the velocity 0
A block of wood weighing 30N and of specific gravity 0.75 is ties by a string to the bottom of a tank of water in order to have the block totally immersed.What is the tension of the string?
A compounded reverted gear train is to be designed as a step up gear to increase the speed by 48 times. With pressure angle of 20
∘
, specify suitable numbers of teeth to minimize gearbox size and avoid interference problem in the teeth. Sketch the designed compounded reverted gear system, indicating the gear positions and their numbers of teeth.
The first gear set (12-72) provides a speed increase of 6, and the second gear set (8-64) further increases the speed by a factor of 8, resulting in an overall speed increase of 48.
To design a compounded reverted gear train as a step-up gear with a speed increase of 48 times while minimizing the gearbox size and avoiding interference problems, we need to carefully select the numbers of teeth for the gears.
The compounded reverted gear train consists of two sets of gears: the first set is the compound gear train, and the second set is the reverted gear train. The compound gear train is used to achieve a moderate speed increase, and the reverted gear train further amplifies the speed.
To determine suitable numbers of teeth, we can start by considering the speed increase ratio of 48. This ratio can be achieved by breaking it down into smaller ratios for the compound and reverted gear sets. For example, we can choose a speed increase ratio of 6 in the compound gear train and a ratio of 8 in the reverted gear train.
Next, we need to select suitable numbers of teeth for each gear to avoid interference problems and ensure smooth operation. To minimize gearbox size, we aim to keep the gears as small as possible. One approach is to use gears with a small number of teeth, which can help reduce their size.
For the compound gear train, we can select gears with, for example, 12 and 72 teeth. This gives a speed increase ratio of 6. For the reverted gear train, we can choose gears with 8 and 64 teeth, resulting in a speed increase ratio of 8.
The sketch of the designed compounded reverted gear system would show the gear positions and their numbers of teeth as follows:
---- 12 teeth ----
/ \
--- 72 teeth 8 teeth ---
\ /
---- 64 teeth ----
In this configuration, the first gear set (12-72) provides a speed increase of 6, and the second gear set (8-64) further increases the speed by a factor of 8, resulting in an overall speed increase of 48. By carefully selecting the numbers of teeth and the gear ratios, we can achieve the desired speed increase while minimizing the size of the gearbox and avoiding interference problems between the gear teeth.
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some people have suggested that electric vehicles only shift the emission of air pollutants from dispersed sources to point sources. explain and defend or refute this statement.
This statement is partially true, but it is important to understand the context and implications. Electric vehicles do not produce tailpipe emissions, which means that they can reduce local air pollution in urban areas.
However, the generation of electricity to power these vehicles can still produce emissions at the point of generation, such as power plants.
The extent of this shift depends on the source of electricity generation in a given region. In areas with a high percentage of renewable energy sources, such as wind and solar, the emissions associated with electric vehicle use would be negligible. In areas that rely heavily on coal-fired power plants, the emissions associated with electric vehicle use could be significant.
It is important to note that even in areas with high emissions from electricity generation, electric vehicles still have benefits over traditional gasoline vehicles. This is because electric vehicles are more energy-efficient and produce fewer emissions overall, even when accounting for emissions from electricity generation.
In summary, while electric vehicles do shift the source of emissions from tailpipes to power plants, the overall reduction in emissions is still significant, especially in areas with a high percentage of renewable energy sources.
Therefore, the statement that electric vehicles only shift the emission of air pollutants from dispersed sources to point sources is not entirely accurate and does not fully capture the benefits of electric vehicles.
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A horizontal pipe of diameter 0.945 m has a smooth constriction to a section of diameter 0.567 m. the density of oil flowing in the pipe is 821 kg/m° if the pressure in the pipe is 8940 n/m° and in the constricted section is 6705 n/m?, what is the rate at which oil is flowing?
If the pressure in the pipe is 8940 n/m° and in the constricted section is 6705 n/m, the rate at which oil is flowing through the pipe is 2.74 m^3/s.
The volume flow rate (Q) can be expressed as:
Q = Av
We can use the continuity equation to relate the velocities at the two different cross-sectional areas:
A1v1 = A2v2
Where:A1 and A2 are the cross-sectional areas at the two different points in the pipe
v1 and v2 are the fluid velocities at the two different points in the pipe
We can rearrange this equation to solve for v1 in terms of v2:
v1 = (A2/A1) * v2
Now we can use Bernoulli's equation to relate the pressure and velocity at the two different points in the pipe:
P1 + (1/2)ρv1^2 = P2 + (1/2)ρv2^2
We can rearrange this equation to solve for v2:
v2 = sqrt(2(P1 - P2) / ρ + v1^2)
Now we can plug in the given values to find v2:
v1 = ?
A1 = (π/4)(0.945 m)^2 = 0.664 m^2
A2 = (π/4)(0.567 m)^2 = 0.100 m^2
ρ = 821 kg/m^3
P1 = 8940 N/m^2
P2 = 6705 N/m^2
v2 = sqrt(2(8940 - 6705) / 821 + ((0.100/0.664) * v1)^2)
We can simplify this equation by assuming that the velocity at the wider section of the pipe (v1) is much smaller than the velocity at the constriction (v2), due to the principle of continuity. Therefore, we can neglect the second term in the equation, giving:
v2 = sqrt(2(8940 - 6705) / 821) = 11.98 m/s
Now we can use the continuity equation to find the volume flow rate:
Q = A1v1 = A2v2 = (π/4)(0.945 m)^2 * 11.98 m/s =2.74 m^3/s
Therefore, the rate at which oil is flowing through the pipe is 2.74 m^3/s.
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5
A football player kicks a 0.5 kg stationary football with a force of 60 N.
What is the force exerted on the player's foot by the football?
A football player kicks a 0.5 kg stationary football with a force of 60 N.
The force exerted on the player's foot by the football is 60 N
What is force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Newton's third law argues that there is an equal and opposite response to every action (force) in nature. When foot hits the football , footballalso hits with an equal and opposing force. In other words, interactions produce forces.
A football player kicks a 0.5 kg stationary football with a force of 60 N.
The force exerted on the player's foot by the football is 60 N
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You get out of school and walk north for 20 minutes. You travel
1.6 km. What is your average velocity?
What is the
Answer:
\(\boxed {\boxed {\sf v= 0.08 \ km/min \ North}}\)
Explanation:
Velocity is found by dividing the displacement by the time.
\(v=\frac{s}{t}\)
where s is the displacement and t is the time.
The displacement is 1.6 kilometers, but it needs a direction as well. The question notes you walked North. The time is 20 minutes.
\(s= 1.6 \ km \ North \\t= 20 \ min\)
\(v=\frac{1.6 \ km \ North} { 20 \ min}\)
Divide.
\(v= 0.08 \ km/min \ North\)
Velocity is a vector quantity, so that is why it has the measurement and the direction.
The average velocity is 0.08 kilometers per minute North.
Answer:
Are there no moderators here?
Who are moderators here?
Well, the above answer is correct..
✨
an object weights 0.250 kgf in air 0.150 in water and 0.125 in an oil.find out the density of the object and the oil
Answer:
1) The density of the object = 2500 kg/m³
2) The density of the oil = 1250 kg/m³
Explanation:
1) The information relating to the question are;
The mass of the object in air = 0.250 kgf
The mass of the object in water = 0.150 kgf
The mass of the object in the oil = 0.125 kgf
By Archimedes's principle, we have;
The upthrust on the object in water = Mass in air - mass in water = The weight of the water displaced
The upthrust on the object in water = 0.250 - 0.150 = 0.1 kgf
∴ The weight of the water displaced = 0.1 kgf
Given that the object is completely immersed in the water, we have;
The volume of the water displaced = The volume of the object
The volume of 0.1 kg of water water displaced = Mass of the water/(Density of water)
The volume of 0.1 kg of water = 0.1/1000 = 0.0001 m³
The density of the object = (Mass in air)/ volume = 0.250/0.0001 = 2500 kg/m³
The density of the object = 2500 kg/m³
2) Whereby the mass of the object in the oil = 0.125 kgf
The upthrust of the oil = The weight of the oil displaced
The upthrust of the oil on the object = Mass of the object in air - mass of the object in the oil
The upthrust of the oil on the object = 0.250 - 0.125 = 0.125 kgf
The weight of the oil displaced = The upthrust of the oil
Given that the volume of the oil displaced = The volume of the oil, we have;
The volume of the oil displaced = 0.0001 m³
The mass of the 0.0001 m³ = 0.125 kg
Therefore the density of the oil = 0.125/0.0001 = 1250 kg/m³.
The density of the oil = 1250 kg/m³.
) if the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force fn2 be in newtons?
The reaction force applied by the floor of the elevator on the cardboard box is 93.1N.
The mass of the cardboard box is 4.75 kg.
The elevator is moving in the upward direction with an acceleration of g.
According to Newton's law of motion, each and every action has an equal and opposite reaction.
Now, the reaction force that is going to be applied on the box by the floor of the accelerating elevator will be equal to that of the weight of the box felt by the floor of the elevator.
The net acceleration of the box is (g+g),
Net acceleration = 2g.
Now, the weight W of the boc,
W =4.75(2g)
W = 4.75 x 2 x 9.8
W = 93.1 N.
The reaction force Fₙ₂ on the box is 93.1 N.
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Complete question-A cardboard box rest on the floor of the elevator. The box has a mass m = 4.75 kg and the elevator has an upward acceleration a, if the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force fn2 be in newtons?
once ejected, how long does it take the electrons with maximum kinetic energy to travel 2.34 cm to a detection device, in seconds? you may assume these electrons travel in a collisionless manner.
It takes approximately 3.95 x 10⁻¹⁰ seconds for the electrons with maximum kinetic energy to travel 2.34 cm to a detection device.
To determine the time it takes for the electrons with maximum kinetic energy to travel 2.34 cm to a detection device, we need to use the equation:
time = distance / velocity
The velocity of the electrons can be calculated using the equation for kinetic energy:
KE = 0.5mv²
where KE is the kinetic energy, m is the mass of the electron, and v is the velocity.
Since we are assuming that the electrons are traveling in a collisionless manner, we can assume that they are traveling at a constant velocity.
Therefore, we can use the maximum kinetic energy of the electrons to calculate their velocity.
The maximum kinetic energy of the electrons is given by:
KE = eV
where e is the charge of an electron and V is the voltage applied to the electron gun.
Assuming a voltage of 10 kV, the maximum kinetic energy of the electrons is:
KE = (1.6 x 10⁻¹⁹ C) x (10,000 V) = 1.6 x 10⁻¹⁵ J
Using this value for KE and the mass of an electron (9.11 x 10⁻³¹ kg), we can calculate the velocity of the electrons:
1.6 x 10⁻¹⁵ J = 0.5 x (9.11 x 10⁻³¹ kg) x v²
v = 5.93 x 10⁷ m/s
Now we can calculate the time it takes for the electrons to travel 2.34 cm:
time = 0.0234 m / 5.93 x 10⁷ m/s = 3.95 x 10⁻¹⁰ s
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Velocity is vector quantity because??
Velocity is vector quantity because it has both magnitude and direction.
Explanation:
velocity is a vector quantity because the person always returns to the original position,the motion would never result in a change in a position.
slings or wire ropes must be taken out of service if they have broken wires in one strand in one lay
if slings or wire ropes have broken wires in one strand in one lay, it is necessary to take them out of service to maintain safety and prevent accidents. Regular inspections and prompt replacement of damaged slings or ropes are essential for ensuring safe lifting operations.
In the case of slings or wire ropes, if they have broken wires in one strand in one lay, they should be taken out of service.
This is because broken wires can weaken the overall strength and integrity of the sling or rope, posing a safety risk.
When we talk about "one strand in one lay," we are referring to the individual wires that make up the rope or sling.
The lay refers to the direction in which the wires are twisted together.
In a single lay, all the wires within a strand are twisted in the same direction.
If even one wire within a strand is broken, it indicates that there may be more damage or weakness within the rope or sling.
Broken wires can reduce the load capacity and compromise the overall strength, making it unsafe for use.
Taking the slings or wire ropes out of service ensures the safety of workers and prevents accidents or failures during lifting operations.
Regular inspections should be conducted to identify any signs of wire breakage, and if any broken wires are found, the sling or rope should be immediately removed from service and replaced.
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Which option below best explains why the second law of thermodynamics is
not violated when heat flows from a cold freezer and into the much warmer
room?
OA. The flow of internal energy out of the freezer is balanced by the
flow of energy into the room.
B. The freezer and room are not an isolated system, since electrical
energy flows in.
OC. The spontaneous flow of heat from a cool area and into a warmer
area is allowed.
O D. The electric motor on the freezer does work to remove the heat
from inside the freezer.
''The freezer and room are not an isolated system, since electrical energy flows in.'' is the correct statement.
What is Second Law of Thermodynamics?
The Second Law of Thermodynamics says that "in all energy exchanges, if no energy enters or leaves the system, the potential energy of the state will always be less than the energy of the initial state."
So we can conclude that ''The freezer and room are not an isolated system, since electrical energy flows in.'' is the correct statement.
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on Mars, the acceleration due to gravity is 3.8 m/s². what would a book weigh on the surface of Mars?
Answer: 5.5
Explanation: its simply different from the others
Where are the levels of Carbon 14 measured?
Question 15 options:
1) Tree rings
2) Ice cores
3) Soil samples
4) All of the above are correct.
The levels of Carbon-14 can be measured in tree rings, ice cores, and soil samples, making option 4 "All of the above" the correct answer.
Tree rings, ice cores, and soil samples provide valuable data for studying the presence and concentration of Carbon-14 in different contexts.
Tree rings represent the annual growth of trees and can be analyzed to determine the amount of Carbon-14 present during each growth period. Ice cores contain layers of ice that capture atmospheric gases, including Carbon-14, providing a record of past atmospheric conditions.
Soil samples can contain organic matter that incorporates Carbon-14, allowing scientists to study its abundance in the environment.
By measuring Carbon-14 levels in these various sources, researchers gain insights into carbon dating, climate change, and other scientific inquiries.
The diverse sources provide complementary data and contribute to a more comprehensive understanding of Carbon-14 levels throughout history.
All of the above is the correct answer.
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. a child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. at point a the speed of the car is 10.0 m/s, and at point b, the speed is 10.5 m/s. assume the child is not holding on and does not wear a seat belt. (a) what is the force of the car seat on the child at point a? (b) what is the force of the car seat on the child at point b? (c) what minimum speed is required to keep the child in his seat at point a?
The centripetal force due to the motion of the roller coaster having a 40.0 kg child and traveling at 10.0 m/s and 10.5 m/s gives the following responses;
(a) The force on the seat at point a is approximately 179 Newtons
(b) The force at point b is approximately 290.17 Newtons
(c) The minimum speed of the roller coaster is approximately 8.29 m/s
What is a centripetal force?Centripetal force is a force that enables the motion of a body around a curved path.
Centripetal force, \(F_c\) = \(\dfrac{m\cdot v^2 }{r}\)
Force of gravity = m·g
Force on the seat is; F = \(\dfrac{m\cdot v^2 }{r} - m\cdot g\)
Mass of the child, m = 40.0 kg
Radius of the loop, r = 7.00 m
Which gives;
\(F = \dfrac{40.0 \times 10^2 }{7} - 40\times 9.81 \approx 179\)
The force on the seat at point A is 179 Newtons(b) At point b we have;
Component of the weight, W = m·g·cos(θ)
Therefore;
At point b F = \(F = \dfrac{40.0 \times 10.5^2 }{7} - 40\times 9.81 \times cos(30^{\circ})\approx 290.17\)
The force on the seat at point b is 290.17 N(c) The minimum speed required to keep the child on the seat is given by the equation;
\(\dfrac{m\cdot v_{min}^2 }{r} = m\cdot g\)
Which gives;
\(\dfrac{ v_{min}^2 }{r} =g\)
\(v_{min}\) = √(r·g)
Therefore
\(v_{min}\) = √(7×9,81) ≈ 8.29
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The speed of light traveling through an unknown material is 1.98×108 m/s. Given that the speed of light in a vacuum is 3.00×108 m/s, what is the dielectric constant of the unknown material?
The dielectric constant of the unknown material is 2.3.
What is dielectric constant?Dielectric constant is referred as a relative permittivity or amount of charge required to produce one unit of electric flux in a given medium.
Given the speed of light in vacuum c =3 x 10⁸ m/s and the speed of light through an unknown material v = 1.98 x 10⁸ m/s.
The dielectric constant is related to the velocity by the following relation,
v = c/√K
Rearranging for dielectric constant, we get
K = (c/v)²
Substitute the value into the expression ,we get
K =(3 x 10⁸ / 1.98 x 10⁸)²
K = 2.3
Thus, the dielectric constant of the unknown material is 2.3.
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Assume that rocket taxis of the future move about the solar system at half the speed of light. For a one-hour trip as measured by a clock in the taxi, a driver is paid 10 sellers. The taxi drivers union demands that pay be based on Earth time instead of taxi time. If their demand is met, what will be the new payment for the same trip?
The new payment for the same trip, based on Earth time instead of taxi time, is approximately 11.5 sellers.
According to the problem, the rocket taxi moves at half the speed of light. Let's denote the speed of light as c.
The time dilation formula in special relativity is given by:
\(\(\Delta t' = \frac{\Delta t}{\sqrt{1 - \frac{v^2}{c^2}}}\)\)
Where:
\(\(\Delta t'\)\) is the time measured in the moving frame (rocket taxi)
\(\(\Delta t\)\)is the time measured in the stationary frame (Earth)
v is the velocity of the moving frame (rocket taxi)
c is the speed of light
In this case, the time measured in the taxi frame \((\(\Delta t'\))\) is one hour (60 minutes), and the velocity of the taxi (v) is half the speed of light \((c/2)\). We want to find the time measured in the Earth frame \((\(\Delta t\))\).
Plugging in the given values, we have:
\(\(\Delta t = \Delta t' \times \sqrt{1 - \frac{v^2}{c^2}}\)\)
\(\(\Delta t = 60 \times \sqrt{1 - \frac{(c/2)^2}{c^2}}\)\)
\(\(\Delta t = 60 \times \sqrt{1 - \frac{1}{4}}\)\)
\(\(\Delta t = 60 \times \sqrt{\frac{3}{4}}\)\)
\(\(\Delta t = 60 \times \frac{\sqrt{3}}{2}\)\)
\(\(\Delta t = 30 \sqrt{3}\)\)
Therefore, the time measured on Earth for the one-hour trip in the taxi is \(\(30 \sqrt{3}\)\) minutes.
Now, we need to calculate the new payment based on Earth time. We are given that the original payment for the one-hour trip in taxi time is 10 sellers.
If the taxi drivers' union demands that pay be based on Earth time instead of taxi time, the new payment will be proportional to the ratio of Earth time to taxi time.
\(\(\text{New payment} = \frac{\text{Original payment}}{\text{Taxi time}} \times \text{Earth time}\)\)
\(\(\text{New payment} = \frac{10 \text{ sellers}}{60 \text{ minutes}} \times (30 \sqrt{3} \text{ minutes})\)\)
\(\(\text{New payment} = \frac{10}{60} \times 30 \sqrt{3} \text{ sellers}\)\)
\(\(\text{New payment} = 0.1667 \times 30 \sqrt{3} \text{ sellers}\)\)
\(\(\text{New payment} = 5 \sqrt{3} \text{ sellers}\)\)
\(\(\text{New payment} \approx 8.66 \text{ sellers}\)\)
Rounding to the nearest seller, the new payment for the same trip would be approximately 9 sellers.
Hence, the new payment for the same trip, based on Earth time instead of taxi time, is approximately 11.5 sellers.
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calculate the internal resistance of a light bulb which is rated at 80 watts? [assume its rating is intended for 120 volt source]
Internal resistance of an 80-watt light bulb requires 0.72 Amps to operate.
What is the proper definition of resistance?Resistance is the action of opposing anything you disapprove of or disagree with; "he encountered a general feeling of resistance from many citizens"; "despite opposition from the newspapers he moved forward"
What is resistance and how is it used?The opposition should not be viewed negatively. Similar to how friction makes it possible for us to walk, drive, and other activities, it should be valued. Since resistance is known to transform electrical energy into heat, heater coils use resistance to produce heat that may be used for cooking and warming up spaces.
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Calculate the mass of displaced water when a piece of 30 cm thick iceberg with its surface area 1000 sq cm floats on water.
The mass of the displaced water is equal to the mass of the iceberg, which is 30 kg.
The mass of the displaced water by a piece of 30 cm thick iceberg with its surface area 1000 sq cm when it floats on water can be calculated as follows;
1: Calculate the volume of the iceberg
The volume of the iceberg can be calculated as follows;
V = l × b × h
where l is the length, b is the breadth, and h is the height.
V = 1000 × 30V = 30,000 cm³
2: Calculate the mass of the iceberg
Mass = Volume × Density = V × D
For water, the density is 1 g/cm³= 30,000 × 1= 30,000 g or 30 kg
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PART ONE In a 52 s interval, 381 hailstones strike a glass window of area 1.124 m^2at an angle 43◦to the window surface. Each hailstone has a mass of 5 g and speed of 6 m/s. If the collisions are elastic, find the average force on the window.
Answer in units of N.
PART TWO Find the pressure on the window. Answer in units of N/m^2.
Answer:
Each hailstone has a mass of 7 g and a speed of 4.5 m /s. If the collisions are elastic, what is the average force on the window? ... strike a glass window of an area of 0.954 m2 at an angle of 25◦ to the window surface.
Explanation:
Thats all i hope this helps lol
14. A bullet of mass 10 g travelling horizontally with a velocity of
150 m s-l strikes a stationary wooden block and comes to rest
in 0.03 s. Calculate the distance of penetration of the bullet
into the block. Also calculate the magnitude of the force exerted
by the wooden block on the bullet.
Answer:
2.25 m
50 N
Explanation:
Given :
\(m=10 g=0.01 kg\)
Initial velocity =U= \(150 \ ms^{-1}\)
\(Time=t=0.03\ s\)
Final velocity =v=0
We know that
\(V=U + at\)
\(a\ =\ \frac{V-U}{t}\)
Putting the value of V,U and t in the previous equation we get
\(a=\frac{0-150}{0.03} \ \\a=-5000 ms^{-2}\)
According the second law of motion
\(s=Ut+\frac{1}{2} *\ at^{2}\)
Putting the value of U,t and a we get
\(s=150\ *\ 0.03\ +\frac{1}{2} \ *(-5000)\ * 0.03\ *0.03\\s=2.25\ m\)
We know that
\(F=mass * acceleration\ \\F=0.01 * 5000\ \\F=50 N\)
Distance of penetration is 2.25 mThe magnitude of the force Is :50 N
A chemist is likely to do which of the following
Answer:
I need to see the answer choices firsts silly
Explanation:
I need to see the answer choice firsts in order to answer because it can be many different answers
How much time does it take light to travel from the moon to the earth, a distance of 384000 km?
Answer:
1.28second
Explanation:
The speed of light is constant everywhere, it is
299,792,458m/s=299,792.458km/s
Therefore it takes
\( \frac{384000}{299792458} = 1.28sec\)