The new electrostatic force between the charges, given that q₁ is reduced to 1/2q₁ and q₂ is tripped is 3/2Fₑ (Option C)
How do I determine the new electrostatic force?First, we shall determine the initial electrostatic force between the charges. Details below:
First Charge (q₁) = q₁second Charge (q₂) = q₂Electric constant (K) = KDistance apart (r) = rInitial electrostatic force (F) = Fₑ =?F = Kq₁q₂ / r²
Fₑ = Kq₁q₂ / r²
Finall, we shall determine the new electrostatic force. The is illustrated below:
First Charge (q₁) = 1/2q₁second Charge (q₂) = 3q₂Electric constant (K) = KDistance apart (r) = rNew electrostatic force (F) =?F = Kq₁q₂ / r²
F = (K × 1/2q₁ × 3q₂) / r²
F = 3/2Kq₁q₂ / r²
But,
Fₑ = Kq₁q₂ / r²
Thus
F = 3/2Fₑ
Thus, we can conclude that the new electrostatic force is 3/2Fₑ (Option C)
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Calculate the force of Earth's gravity on a spacecraft 1.6 * 10^7 m above the surface of the Earth if the spacecraft has a mass of 2000 kg.
Answer:
[tex]g_h = -39.4\ m/s^2[/tex]
Explanation:
The formula for the value of the acceleration due to gravity at a height "h" from the surface of Earth is given as follows:
[tex]g_h = g(1-\frac{2h}{R} )[/tex]
where,
[tex]g_h[/tex] = acceleration due to gravity at height h from the surface of Earth = ?
g = acceleration due to gravity on the surface of the Earth = 9.81 m/s²
h = height from the surface of the Earth = 1.6 x 10⁷ m
R = Radius of the Earth = 6.378 x 10⁶ m
Therefore,
[tex]g_h = (9.81\ m/s^2)(1-\frac{2(1.6\ x\ 10^7\ m)}{6.378\ x\ 10^6\ m})[/tex]
[tex]g_h = -39.4\ m/s^2[/tex]
0. 250 moles of gas are in a piston. The gas does 109 J of work while 240 J of heat are added. What is the change in internal energy?
(Be careful with + and - signs. +W = expansion, +Q =added, +ΔU = temp goes up)
Thank you!
For 0. 250 moles of gas in a piston, the change in internal energy is +131J. While 240 J of heat are supplied, the gas produces 109 J of work. The energy is a thermodynamic system's internal energy.
With the exception of the energies that are determined by how the system interacts with its environment, the system as a whole's kinetic energy of motion and potential energy with respect to external force fields are all that are contained within it. A typical kind of skin development are moles. Clusters of pigment-forming cells are what give them their common appearance as small, dark brown dots (melanocytes).
Internal energy change for U = Q+W is 240+(-109) = +131J.
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30 points!
Which option best describes a planet with the highest gravity?
a small, high mass planet
a large, low mass planet
a large, high mass planet
a small, low mass planet
Answer:
F = G M m / R^2 or g = F/ m = G M / R^2
(A) A small high mass planet obviously fits the first description.
A stone is thrown vertically upward with an initial speed of 18.1 m/s. Neglect air resistance. The speed of the stone when it is 8.26 m higher is:
The velocity of the object when it first reaches a height of 8.10 meters is 18.05 m/s.
Calculation-To find the speed of the stone when it is 8.26 m higher, we can use the equation for vertical motion under constant acceleration. The equation is:
v^2 = u^2 + 2as
Where:
v = final velocity (m/s)
u = initial velocity (m/s)
a = acceleration due to gravity (9.8 m/s^2, downward)
s = distance traveled (m)
In this case, the initial velocity is 18.1 m/s, the distance traveled is 8.26 m upward, and the acceleration due to gravity is 9.8 m/s^2 downward. We can substitute these values into the equation and solve for the final velocity.
v^2 = 18.1^2 + 2 * 9.8 * 8.26
v^2 = 327.61
v = sqrt(327.61)
v = 18.05 m/s
Why ignore air resistance while calculating projectile motion?Air resistance is the term for the frictional force that slows an object's velocity as it moves through the air. Although air resistance considerably affects trajectory motion, it is not taken into account in beginning physics due to the complexity of the calculations.
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what is the reading of the energy meter in figure 1 when an appropriate laser is used in pac to dissociate a particular chemical bond?
According to this, the laser always has higher energy than what is required to break the bond. A portion of the energy is utilized to break the bond, the rest is transformed into heat.
How is an energy meter measured?Kilowatt-hours are the unit used by your electric meter to measure power use. One kilowatt hour is equal to one thousand watt-hours. For instance, the energy usage is computed as 100 watts x 10 = 1,000 watts if a 100-watt light bulb is on for 10 hours.
How is electrical energy measured?Watts are units used to measure the power of electricity. One ampere under the pressure of one volt is equal to one watt of electrical power. The power of one watt is negligibly little.
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How do you find the value of T when a particle is at rest?
The value of T when a particle is at rest is 0. The velocity of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
Velocity is the rate of change of velocity. At any point on a trajectory, the magnitude of the velocity is given by the rate of change of velocity in both magnitude and direction. Velocity of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of we can calculate. Hence by the primary information that we have we can formerly consider that the velocity which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point and the value of T when a particle is at rest is zero.
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A car is travelling along a horizontal road in an easterly direction. The car has a mass of 2300 kg and the drag force (friction) acting on the car is a constant 5000 N to the west.
The car is initially travelling at a speed of 10 m s‒1 and 20 s later is travelling at a speed of 14 m s‒1.
What is the gravitational force on the car?
What is the vertical normal (support/reaction) force acting on the car?
What is the horizontal force on the cars tyres from the road?
The gravitational force on the car is 23000 N, the vertical normal (support/reaction) force acting on the car is 0 N, and the horizontal force on the car's tyres from the road is 5460 N.
Mass of the car, m = 2300 kg
Force acting on the car, F = 5000 N
The initial speed of the car, u = 10 m/s
The final speed of the car, v = 14 m/s
Time, t = 20 s
The gravitational force on the car is calculated by the formula given as
F = mg
F = 2300 × 10
F = 23000 N
Now, as there is no vertical movement in the car therefore the vertical force acting on the car is 0 N.
The horizontal force on the car's tyres from the road
= force acting on the car + net force on the car
= 5000 + ma
= 5000 + 2300 × (v-u)/t
= 5000 + 2300 × (14 - 10)/20
= 5000 + 2300 × 4/20
= 5000 + 460
= 5460 N
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a log with a mass of 14 kg is suspended by two ropes, one at either end. What is the tension force in each rope
According to the given statement The tension force in each rope is T = 14g/2Sin N, according to the information provided.
What is tension force ?Tension is the force that is transmitted through a cable, rope, or wires when it is stretched by loads exerted from opposing sides. The bodies are put through an identical degree of strain at each end of the wire by the tension force, which is exerted all along entire of the wire's length.
Let the tension in each rope be T₁ & T₂
Also, T₁ = T₂ = T
T₁ Sinθ + T₂ Sinθ = mg
2T Sinθ = mg
2T Sinθ = 14g
T = 14g/2Sinθ
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A thermodynamic system undergoes a process in which its internal energy decreases by 500 joules. at the same time, 220 joules of work is done on the system. what is the amount of heat transferred to or from the system?
a. 280 joules
b. 720 joules
c. -280 joules
d. -720 joules
e. 0 joules
The amount of heat transferred from the system is -720j, hence option d is the proper response. It passes through a process where its internal energy drops by 500 joules in a thermodynamic system.
The system receives 220 joules of work at the same time. A thermodynamic system's internal energy is the energy that it contains, excluding the energies that are determined by how it interacts with its environment, such as the system's overall kinetic energy of motion and its overall potential energy with regard to external force fields. The definition of heat in thermodynamics is the kind of energy that crosses a thermodynamic system's boundary.
U = Q+W
Q = U - W Q = -500 -220 = -720J
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if Jada has 25 dimes how many quarters dose she have
If Jada has 25 dimes, she has 10 quarters .
What are dime and quarter?Dime is a coin from the United States or Canada which has value of ten cents.
And. quarter is a coin from the United States or Canada which has value of twenty five cents.
Jada has 25 dimes .
Now, we know that 1 dime is equals to 10 cents.
Hence, Jada has = 25 × 10 cents = 250 cents.
Again we know that 1 quarter is worth 25 cents.
So, Jada has = (250 ÷ 25) quarters
= 10 quarters.
Hence, she has 10 quarters.
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Which of the following objects will exert the greatest gravitational force on a box, if the distance between them remains the same?
2 kg mass
4 kg mass
6 kg mass
8 kg mass
Given :
Some objects with different mass.
To Find :
Which of these object will exert the greatest gravitational force on a box, if the distance between them remains the same.
Solution :
We know, gravitation force between two object is given by :
[tex]F = \dfrac{Gm M}{d^2}[/tex]
Here m, G and d are constant.
From the above equation we can see that if every other thing remains constant the gravitations force remains constant if mass of other plant increase.
Therefore, object of mass 8 kg will exert the greatest gravitational force on a box.
Answer: 8 kg mass
Explanation:
Took the test
Select ALL that describe what the atmosphere does for the earth.Atmosphere is a layer of gases that surround the earth.
Absorbs energy from sun
Protects and supports life
Recycles water and other chemicals
Protects life from high energy radiation and frigid vacuum of space
Answer:
A, B, C, E
Explanation:
The atmosphere does not recycle water and other chemicals
prepare a list of various sources of energy that are used at your home .classify them into renewable and non renewable source of energy
The two energy sources that are used in homes the most are electricity and natural gas. Natural gas is a non-renewable energy source, whereas electricity that is generated from unconventional sources is.
What are some examples of renewable and non-renewable energy sources?Sunlight, water, wind, and geothermal sources like hot springs and fumaroles are examples of renewable resources. Petroleum and coal are examples of fossil fuels that are non-renewable resources. The majority of renewable resources have small carbon footprints and low carbon emissions.
What are the top 5 energy-saving features for homes?A well-built and securely sealed thermal envelope, controlled ventilation, appropriately sized, high-efficiency heating and cooling systems, and energy-efficient doors, windows, and appliances are the essential components of the majority of energy-efficient homes, despite construction costs, options, and styles being different.
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Severity and determinants of stunting in children under age 2 years in Odisha (India): A tribal v/s non-tribal analysis
In the past eight years, there has been a 3% annual drop in the prevalence of stunting among Indian tribal children under the age of five.
To determine the predictors of stunting and severe stunting among tribal children, as well as to suggest potential policy and program implications, cross-sectional data from 1000 children (287 tribal and 713 non-tribal) aged 0-23 months from Odisha's Rapid Survey of Children (RSOC, 2014) were analyzed. The findings indicate that birth order and maternal illiteracy are significant predictors of childhood stunting, and that maternal age at marriage and at birth was less than 18 years old and less than 20 years old, respectively, for severe stunting. Basic factors such as poverty and maternal ages of 20 years at the time of the first birth and 18 years at marriage were found to predict severe stunting in tribal children.
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The waves in the electromagnetic spectrum have a speed that A. Increases in proportion to the frequency of the wave B. Increase in proportion to the wavelength of a wave C. That stays the same
Answer:
B. Increase in proportion to the wavelength of a wave.
Explanation:
An electromagnetic spectrum refers to a range of frequency and wavelength that an electromagnetic wave is distributed or extends. The electromagnetic spectrum comprises of gamma rays, visible light, ultraviolet radiation, x-rays, radio waves, and infrared radiation.
Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.
Generally, the most commonly used electromagnetic wave technology in telecommunications is radio waves.
Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m. Therefore, radio waves are a series of repetitive valleys and peaks that are typically characterized of having the longest wavelength in the electromagnetic spectrum.
Wavelength is simply the distance from one peak of an electromagnetic wave to the next peak. This distance is also equal to the distance from one trough of a wave to another.
Mathematically, wavelength is calculated using this formula;
[tex] Wavelength = \frac {speed}{frequency} [/tex]
Hence, the waves in the electromagnetic spectrum have a speed that increase in proportion to the wavelength of a wave.
help, anyone?? please:/
A rope of length L is attached to a support at point C. A person of mass m, sits on a ledge at position Aholding the other end of the rope so that its horizontal and taut, as shown above. The person then dropsoff the ledge and swings down the rope toward position B on the lower ledge where an object withmass m₂ is at rest. At position B the person grabs hold of the object and simultaneously lets go of therope. The person and object then land together in the lake at point D, which is a vertical distance Lbelow position B. Air resistance and mass of the rope are negligible. Derive expressions for each of thefollowing in terms of m₁, m₂, L, and g.
Insignificant are air resistance and rope mass. Point C on a support is where a rope of length L is fastened.
What is meant by mass?As a measure of inertia, which is a characteristic of all matter, mass is used in physics. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force. The change caused by an applied force is proportional to the mass of the body.The amount of matter that makes up any object or body is best referred to as its mass. All of the objects we perceive have mass. There is mass in objects like tables, chairs, beds, footballs, glasses, and even air. As a result, every object has a mass, which determines whether it is light or heavy.The amount of matter in a thing is measured by its mass.To learn more about mass refer to:
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Which diagram best shows the perceived sound wave heard by a woman after a police car has passed her?
An illustration of a person listening to the siren of a passing police car. There are circles spreading out from the siren with the wavelength close together in the front and farther apart in the back.
An illustration of a person listening to the siren of a passing police car. There are circles spreading out from the siren with the wavelength longer closer to the siren and closer together the farther from the siren on both sides.
An illustration of a person listening to the siren of a passing police car. There are circles spreading out from the siren that are concentric and evenly spaced.
An illustration of a person listening to the siren of a passing police car. There are circles spreading out from the siren with the wavelength changing in all directions.
Answer:
A. An illustration of a person listening to the siren of a passing police car. There are circles spreading out from the siren with the wavelength close together in the front and farther apart in the back.
The diagram best shows the perceived sound wave heard by a woman after a police car has passed her is
An illustration of a person listening to the siren of a passing police car. There are circles spreading out from the siren with the wavelength close together in the front and farther apart in the back.
The correct option is first.
What is wavelength?The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave. The wavelength is the reciprocal of the frequency of the wave.
The diagram representing circles spreading out from the siren with the wavelength close together in the front and farther apart in the back.
Thus, the correct option is first.
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Why is 90 degrees the best angle for maximum height and air time?
The best angle for maximum height and air time when launching an object is 90 degrees. At 90 degrees, the vertical velocity component is at its maximum, allowing the object to reach the highest point. Additionally, the horizontal velocity component is at its minimum, which means that the object will spend more time in the air.
This is because at 90 degrees, the object is moving straight upward and as gravity acts vertically downwards, the object will reach highest point and stay there for longer time as compare to other angles.
However, it's important to note that 90 degrees is ideal for maximum height, but not for maximum distance traveled. For maximum distance, the optimal angle would be 45 degrees, where the horizontal velocity and vertical velocity are equal, as the object will both travel the farthest and reach the highest point.
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what was the main cause of the near extinction of the black-footed ferret?
A. Climate change
B. Dwindling prairie dog populations
C. Natural predators
D. For hunters hunted them to extinction
Answer:
b
Explanation:
10) An ice cube of mass 0.046 kg and temperature -14 C is heated until it is now fully melted and at a temperature of 11C now. What percentage of the total energy was used to melt the ice
90.23 % percentage of the total energy was used to melt the ice.
Define Energy?Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.
Calculation -:Total energy used from -[tex]14^{o}[/tex]C to [tex]11^{o}[/tex]C
= [tex]m_{i}c_{i} T_{i}[/tex] + [tex]m_{i} L_{f}[/tex] +[tex]m_{w} c_{w}[/tex]Δ[tex]T_{2}[/tex]
= (0.013×2200×8) + (0.031×334000) + (0.013×486×11)
= 400.4 + 4342 + 69.498
= 4811.898 J
% energy used to melt = 4342/4811.898 × 100
= 90.23 %
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A student watches a video about forces.
The video shows a piece of wood floating in a tank of water.
Write down the name of the non-contact force acting on the wood
and the name of the contact force acting on the wood. [2 marks]
A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters. If 400Joules of work is done, how much force must have been applied?
A. 4000N
B.800N
C.100N
D.1600N
The force that was applied to the lever to raise the load of 220 Newtons toa distance of 4 m is 100 N.
The correct option is C.
What is a lever?A lever gives you the ability to move an object with a certain advantage, allowing you to do so with either less effort or more speed or displacement.
The use of forces and the exploitation of the torques they produce is how levers function. By changing the balance, we can carry large objects with little effort.
The law of the lever is given below as follows:
Fa / Fb = b / a
where;
Fa is the effort or force appliedFb is the load or force overcomea is the effort armb is the load or resistance armThe effort applied, Fa, is calculated below:
Fb = 220 N
a = 10 m
b = 2 m
Fa = Fb * b / a
Fa = 220 * 2 / 10
Fa = 44 N
Work done = Force * distance
distance = 4 m
400 J = Force * 4
Force = 400 / 4
Force = 100 N
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When a body changes we know that its momentum changes.
Answer:
ok
Explanation:
Answer:
The change of movement depends on the force that acts and the length of time it acts.
The goal of this experiment was to answer the question, "How does diffraction occur?" Suppose you formulated this alternate hypothesis:
If the gap width is increased while keeping wavelength constant, then the observed diffraction will decrease because the less the ratio between wavelength and gap width is, the smaller the observed diffraction angle will be.
To test this hypothesis, you would change the gap widthdiffraction anglewavelength and observe the gap widthdiffraction anglewavelength in the system.
Therefore, the independent variable would be the gap widthdiffraction anglewavelength and the dependent variable would be the gap widthdiffraction anglewavelength.
The spreading of waves as they go through an aperture or around objects is known as diffraction. When the wavelength of the incident wave and the size of the aperture or obstruction are on the same order of magnitude, it happens.
What causes diffraction?"More specifically, when applied to light, diffraction of light happens when a light wave travels past a corner or through an opening or slit that is physically smaller than the wavelength of that light, if not smaller.
The main diffraction-causing factor is what?The most frequent instance of diffraction is water waves that bend around a fixed object. Around the border of an item, light flexes similarly. Two tiny apertures are depicted in the animation as wave fronts travel through them.
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Why is torque greatest at 90 degrees?
Torque is defined as the cross product of the force and the distance from the center to the point of application (force = r * F * sin) (theta)
Where is the maximum torque?Keep in mind that at 90 degrees, the torque is at its highest level. Finding the lever arm and multiplying it by the applied force is a useful method for calculating the amount of torque. The distance that separates the force's line of action from its rotational axis is known as the lever arm.
Why does a 90-degree angle matter?Perpendicular describes two straight lines that meet at a 90-degree angle. When it comes to geometric proofs and examining various vertices and angles, perpendicular lines can be used in a variety of ways. They are helpful for making sure things are straight and aligned properly when painting or building.
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The work you do when pushing a shopping cart twice as far while applying double the force is
A) half as much
.B) twice as much.
C) four times as much.
D) the same amount.
The work you do when pushing a shopping cart twice as far while applying double the force is twice as much as force.
What is Force?
A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects when the interaction ends.
Contact forces are the kinds of forces that develop when two objects interact and appear to be in physical contact with one another. Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces.
Forces that come from action at a distance.
Therefore, The work you do when pushing a shopping cart twice as far while applying double the force is twice as much as force.
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A 1,000-kilogram car traveling with a velocity of +20 meters per second decelerates uniformly for 4 seconds until it comes to rest. Calculate the net force on the
car in Newtons
The required net force on the car with certain mass and travelling with deceleration is said to be 5000 N.
Given that,
Mass of the car m = 1000 kg
Velocity of the car v = 20 m/s
Time t = 4 sec
Net force on the car = ?
According to Newton's second law of motion, it is said mathematically that, F = m a ---(1)
Acceleration a can be written as the rate of velocity.
a = (v-u)/t = (0 - 20)/4 = - 5 m/s² ---(2)
Substituting (2) in (1) we have,
F = m a = 1000 × - 5 = -5000 kg m/s² or -5000 N
Thus, the required net force on the car is 5000 N.
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two blocks are connected by a string of negligible mass that passes over massless pulleys
If two blocks are connected by a string of negligible mass that passes over massless pulleys, the system can be analyzed using the principles of Newton's second law and the conservation of energy.
In this scenario, the net force acting on each block is the tension in the string, which is equal in magnitude for both blocks.
Therefore, if the blocks have different masses, they will have different accelerations.
In this scenario, the mechanical energy of the system is the sum of the gravitational potential energy and the kinetic energy of the blocks. If the pulleys are massless and frictionless, then the mechanical energy of the system will be conserved.
In summary, the two blocks will move together with the same acceleration if the pulleys are massless and frictionless.
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Write a decomposition chemical reaction caused by light.
A decomposition chemical reaction caused by light is the decomposition of hydrogen peroxide.
It is represented by the following equation:
[tex]2 H_{2} O_{2}(aq)[/tex] → [tex]2 H_{2}O(l)[/tex] [tex]+ O_{2} (g)[/tex]
The decomposition of hydrogen peroxide is a chemical reaction in which hydrogen peroxide is broken down into its component parts: water and oxygen gas.
This reaction is typically caused by the absorption of light energy, which causes the chemical bonds within the hydrogen peroxide molecule to break.
This reaction is often used as a demonstration of the principles of light-induced decomposition reactions, as it is relatively simple and easy to observe.
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