The argon molecules become solid when the temperature decrease from 20C to -190 C.
What changes occur in argon?The changes in arrangement and movement of the particles of the argon occurs as the temperature of the air decreased because the argon gas begins to freeze. The freezing point of argon is -189 Celsius so when the temperature decrease from 20C to -190 C, the argon molecules becomes solid.
So we can conclude that the argon molecules become solid when the temperature decrease from 20C to -190 C.
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lubricants reduce friction by replacing sliding friction with fluid friction
what are the benefits of aerobic activity and what effect does that have on endurance during exercise
help plsssssssssssssssssssssssssssss
Aerobic exercise helps you lose weight and keep it off when combined with a good diet.
When you first begin regular aerobic exercise, you could feel exhausted. But over time, you'll benefit from more endurance and less weariness.
Over time, you can also improve your bone and muscle strength as well as your heart and lung health.
Regular aerobic exercise like walking, cycling, or swimming can improve your health and length of life.
You repeatedly contract your arms, legs, and hip muscles when engaging in aerobic exercise. You'll become aware of your body's reactions immediately.
You'll deepen and speed up your breathing. The amount of oxygen in your blood is increased as a result. As a result of your heart beating more quickly, more blood will reach your muscles and return to your lungs.
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The frequency of a sound wave corresponds to its
A satellite is in circular orbit around a planet with a known radius. What information do you need to calculate the speed of the spacecraft? (check all that apply)
To calculate the speed of a satellite in circular orbit around a planet with a known radius is the radius of the planet and the mass of the planet.
What data is required to determine satellite speed around a planet?The speed of a satellite in a circular orbit is determined by the gravitational pull of the planet it orbits. In this case, the radius of the planet is essential because it helps determine the distance between the satellite and the planet's center.
The mass of the planet is also crucial because it affects the strength of the gravitational force acting on the satellite. By combining these two pieces of information, you can calculate the speed of the satellite using the formula for centripetal acceleration, which relates the gravitational force to the satellite's speed and the radius of its orbit.
Calculating the speed of a satellite requires understanding the principles of gravitational force and circular motion. In a circular orbit, the gravitational force acting on the satellite provides the centripetal force needed to keep it moving in a curved path.
The magnitude of the centripetal force is determined by the mass of the planet and the distance between the satellite and the planet's center, which is equivalent to the sum of the planet's radius and the satellite's altitude above the planet's surface.
Using Newton's law of universal gravitation, which states that the gravitational force is proportional to the product of the masses and inversely proportional to the square of the distance between them, you can derive the formula for the speed of the satellite.
By equating the gravitational force to the centripetal force and solving for the satellite's speed, you can express it in terms of the radius of the planet and the mass of the planet.
This calculation assumes a circular orbit, neglecting any atmospheric drag or other external forces acting on the satellite. It also assumes that the mass of the satellite is insignificant compared to the mass of the planet.
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what is the purpose of the calibration curve in part v of the electrochemical measurement procedure?
The purpose of the calibration curve in Part V of the electrochemical measurement procedure is to establish a relationship between the measured signal and the analyte concentration.
In electrochemical measurements, the calibration curve plays a crucial role in quantifying the concentration of the analyte of interest. It involves plotting a series of known analyte concentrations against their corresponding measured signals. By analyzing the resulting curve, one can determine the relationship between the signal response and the analyte concentration. This relationship is typically linear or follows a specific mathematical model. The calibration curve serves as a reference to convert the measured signals obtained from unknown samples into their corresponding analyte concentrations. It allows for accurate and reliable quantitative analysis by providing a means to interpolate or extrapolate the analyte concentration based on the measured signal.
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3. Which types of light are not absorbed by genetic material?
ultraviolet (UV)
visible
infrared (IR)
microwave
radio
Given what we know, we can confirm that genetic material is not known to absorb light originating from an infrared or microwave radio source.
What light does genetic material absorb?Genetic material is known to absorb UV light. This represents ultraviolet light. UV light is electromagnetic radiation, and the primary source of UV light that we are exposed to is the sun.Therefore, given that the only form of light listed that genetic material is known to absorb is that of Ultraviolet or UV light, we can confirm that the answer to the question proposed is infrared and microwave radio light.
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A 6.0 mH inductor is in a circuit. At the instant the current is 5.0 A and its rate of change is 200 A/s, the rate with which the energy stored in the inductor is increasing is:
The rate with which the energy stored in the inductor is increasing at 6 Joule/s.
To find the answer, we need to know about the rate of change of energy in inductor.
What's the rate of change of energy of inductor?The energy stored in inductor (E)=(1/2)× L× I²The rate of change of energy (dE/dt) = L×I×(dI/dt)What's the rate of energy increased in the inductor, if rate of increasing current, L and I are respectively 200A/s, 6mH and 5 A respectively?Here , dI/dt = 200A/s, L=6mH, I = 5 ARate of energy increased= 6mH×5×200= 6 Joule/s
Thus, we can conclude that the rate of increasing energy is 6 Joule/s.
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DC current is less than AC current
true\false
Answer:
False
Explanation:
.......................
plzzz helpp
A 5 kg ball is sitting on top of a hill. It has a Potential Energy of 6000J. What is the height of the ball?
Answer:
h = 122.44 m
Explanation:
Given that,
Mass of a ball, m = 5 kg
Potential energy at the top of the hill, E = 6000 J
We need to find the height of the hill. The formula for the potential energy is given by :
\(P=mgh\\\\h=\dfrac{P}{mg}\\\\h=\dfrac{6000}{5\times 9.8}\\\\h=122.44\ m\)
So, the height is 122.44 m.
if a magnetic field cannot increase a particles velcotiy how do particle accelerators using electromagntic fields work
Particle accelerators use electromagnetic fields to accelerate particles by exerting a force on them.
The magnetic field alone cannot increase a particle's velocity, but when combined with an electric field, it can
accelerate charged particles. This is because the magnetic field causes the particles to move in a circular path, while
the electric field provides the necessary energy to increase the speed of the particles as they move along this path.
Therefore, the electromagnetic field works by combining the effects of both the electric and magnetic fields to
accelerate particles in a controlled manner.
Particle accelerators work by utilizing both electric and magnetic fields to increase the energy of charged particles.
While it's true that magnetic fields alone cannot increase the velocity of a particle, they play an essential role in
controlling the particle's trajectory. On the other hand, electric fields are responsible for increasing the velocity of
charged particles.
Here's a step-by-step explanation of how particle accelerators work using electromagnetic fields:
1. Charged particles are introduced into the accelerator.
2. Electric fields provide the necessary force to accelerate the particles, increasing their velocity.
3. Magnetic fields guide and steer the particles along the desired path or into circular orbits.
4. As particles move through alternating electric fields, they continue to gain energy and increase their velocity.
5. When particles reach the desired energy level, they can be directed toward a target or collision point for experiments.
In summary, particle accelerators use electromagnetic fields to control and increase the velocity of charged particles. Electric fields accelerate the particles, while magnetic fields guide their trajectory.
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Why dont you fall through walls when you lean against them? provide a scientific explanation to explain your answer.
Answer:
That's why if you lean against the wall, you don't just fall through it. The wall pushes back on you as hard as you push on it, and you and the wall stay in place. If you throw something, you put more force behind it than just leaning on it, so it pushes back with more force.
Explanation:
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in the above circuit, the capacitor is connected to an ideal battery of voltage v and allowed to fully charge. the capacitor is isolated from the battery, the potential difference across its plates is measured, and then a conducting slab is inserted between the plates. the potential difference across its plates is again measured. which of the following hypotheses can be tested using this procedure? responses inserting a conducting slab between the plates of capacitor connected to a battery will increase the energy stored on the capacitor. inserting a conducting slab between the plates of capacitor connected to a battery will increase the energy stored on the capacitor. inserting a conducting slab between the plates of capacitor connected to a battery will increase the charge that can be stored on a capacitor. inserting a conducting slab between the plates of capacitor connected to a battery will increase the charge that can be stored on a capacitor. inserting a conducting slab between the plates of an isolated capacitor increases the charge that can be stored on a capacitor. inserting a conducting slab between the plates of an isolated capacitor increases the charge that can be stored on a capacitor. inserting a conducting slab between the plates of an isolated capacitor will increase the charge density of the plates of the capacitor. inserting a conducting slab between the plates of an isolated capacitor will increase the charge density of the plates of the capacitor. inserting a conducting slab between the plates of an isolated capacitor will increase the capacitance of the capacitor.
The hypothesis that can be tested using this procedure is:
"Inserting a conducting slab between the plates of an isolated capacitor will increase the capacitance of the capacitor."
When the conducting slab is inserted between the plates of the isolated capacitor, it increases the effective area of the plates that are now partially covered by the conducting slab. This increases the capacitance of the capacitor, since capacitance is directly proportional to the area of the plates and inversely proportional to the distance between them.
Measuring the potential difference across the plates before and after inserting the conducting slab can allow us to calculate the change in capacitance. This can be used to test the above hypothesis and verify whether or not the capacitance of the capacitor increases when a conducting slab is inserted between the plates.
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An engineering team has come to the stage in the engineering design process in which it is iterating to improve the solution. hat is one thing the team might be doing ?
When an engineering team reaches the stage of iterating to improve the solution in the engineering design process, there are various activities that the team might be doing. One of the most crucial activities at this stage of the design process is testing. Here are a few things that an engineering team might do to test and improve the solution:
Prototyping: This involves building a physical or digital prototype that can be tested and refined based on feedback from stakeholders. The team can then use this prototype to identify any design flaws and make the necessary changes.Simulation: Simulation involves creating a virtual model of the solution and testing it under various conditions. The team can use simulation to identify potential problems with the solution before it is built.User testing: User testing involves testing the solution with real users to get feedback on how well it works and how it can be improved. The team can use this feedback to make changes to the design and improve the user experience.Feedback analysis: This involves analyzing feedback from stakeholders, including users, customers, and other members of the team. The team can use this feedback to identify areas for improvement and make changes to the design.The key to iterating to improve the solution is to be open to feedback and willing to make changes. By continuously testing and refining the design, the engineering team can create a solution that meets the needs of stakeholders and achieves the desired outcomes.For such more question on stakeholders
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who is a producer that produces a product that is sold at walmart? please answer thank you!! <3
Answer:
Con Agra and Sare Lee
Explanation:
The volume of a cylinder is v=πR^2H where R =radius and h= height. If the radius is 3 times the height and the volume increases at 10cm/s. How fast does the radius increase when the radius 6 cm
The rate at which the radius increases when the radius is 6 cm is approximately 0.056 cm/s.
At a radius of 6 cm, how fast does the radius increase?To determine how fast the radius increases, we can use the given information about the volume of a cylinder and its rate of change. The volume of a cylinder is given by the formula v = πR²H, where R represents the radius and H represents the height.
Given that the radius is three times the height, we can express the height as H = R/3. Substituting this value into the volume equation, we have v = πR²(R/3). Simplifying further, the volume equation becomes v = (π/3)R³.
Now, we are given that the volume increases at a rate of 10 cm/s. By taking the derivative of the volume equation with respect to time, we can determine how the radius changes over time. The derivative, dv/dt, is equal to (π/3)(3R²)(dR/dt), where dR/dt represents the rate of change of the radius.
Simplifying the equation, we have dv/dt = πR²(dR/dt). Substituting the given values, we have 10 cm/s = π(6²)(dR/dt).
Solving for dR/dt, we find that the rate at which the radius increases when the radius is 6 cm is approximately 0.056 cm/s.
Calculus and related concepts to explore the relationships between variables and their rates of change. Understanding these mathematical principles is essential for analyzing dynamic systems and their behaviors.
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a transfer of energy without a transfer of mass describes what?
Explanation:
Wave motion
ex...longitudinal wave.
The driver of a car slams on the brakes, causing the car to slow down at a rate of 24.0ft/s? as the car skids 253ft to a stop.
How long does the car take to stop?
What was the car's initial speed?
It takes approximately 4.59 seconds for the car to come to a stop. the car's initial speed was approximately 110.2 ft/s,
To determine the time it takes for the car to stop and the car's initial speed, we can use the kinematic equation:
v² = u² + 2as
where:
v is the final velocity (0 ft/s, since the car comes to a stop),
u is the initial velocity (unknown),
a is the acceleration (-24.0 ft/s², as the car slows down),
and s is the distance traveled (253 ft).
Plugging in the known values into the equation, we can solve for u:
0² = u² + 2(-24.0 ft/s²)(253 ft)
0 = u² - 48.0 ft/s² * 253 ft
48.0 ft/s² * 253 ft = u²
u² = 12144 ft²/s²
Taking the square root of both sides:
u = √12144 ft/s
u ≈ 110.2 ft/s
So, the car's initial speed was approximately 110.2 ft/s.
Now, to find the time it takes for the car to stop, we can use the equation:
v = u + at
0 = 110.2 ft/s + (-24.0 ft/s²) * t
24.0 ft/s² * t = 110.2 ft/s
t = 110.2 ft/s / 24.0 ft/s²
t ≈ 4.59 s
Therefore, it takes approximately 4.59 seconds for the car to come to a stop.
In summary, the car's initial speed was approximately 110.2 ft/s, and it took approximately 4.59 seconds for the car to come to a stop while skidding a distance of 253 ft.
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A 40 kg ball is on a 15 m ledge. If it is pushed off
the ledge.
How much kinetic energy will it have just before
hitting the ground?
The final kinetic energy will it have just before hitting the ground is 5.8755 KJ.
Mass of the ball, M = 40 kg
Height of the ledge, S = 15 m
Initial velocity, u = 0 m/s (at rest)
Using equation of motion we get,
V² = u² + 2aS
V² = 0 + 2 × 9.8 × 15
V² = 294
v = 17.14m/s
kinetic enrgy is calculated as :
E = 1/2 × mass × v²
for initial velocity (u =0) kinetic energy is
E = 1/2 × 40 × 0²
E = 0J
for final velocity (v) kinetic energy is :
E = 1/2 × 40 × (17.14)²
E = 5,875.5 J
E = 5.8755 KJ
The final kinetic energy will it have just before hitting the ground is 5.8755 KJ.
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determine the vertical rise h of the load w during 10 seconds if the hoisting drum draws in cable at the constant rate of 180 mm/s.
The vertical rise of the load during 10 seconds is approximately 490.5 meters.
What is uniformly accelerated motion?Uniformly accelerated motion is a type of motion in which an object moves along a straight line with a constant acceleration. This means that the object's velocity changes at a constant rate over time, with equal changes in velocity occurring during equal time intervals.
We can use the kinematic equation for uniformly accelerated motion to determine the vertical rise of the load:
h = vit + (1/2)at²
where:
h is the vertical rise of the load (in meters)
vi is the initial vertical velocity of the load (in meters per second)
a is the vertical acceleration of the load (in meters per second squared)
t is the time interval (in seconds)
Since the load is being hoisted upward, its initial vertical velocity is zero, so vi = 0. The vertical acceleration of the load is equal to the acceleration due to gravity, which is approximately 9.81 m/s².
To use this equation, we need to convert the constant rate of cable draw, 180 mm/s, to meters per second:
180 mm/s = 0.18 m/s
Now we can plug in the values:
h = (0 m/s)(10 s) + (1/2)(9.81 m/s²)(10 s)²
h = 490.5 meters
Therefore, the vertical rise of the load during 10 seconds is approximately 490.5 meters.
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Which of the following statement/s is/are true? Check all that apply. Jupiter's Great Red Spot is in the southern hemisphere of the planet The fastest wind speed recorded in our solar system is on the dwarf planet Pluto Neptune's Great dark spot is in the northern hemisphere of the planet Water geyser is located on the South Pole of Saturn's Moon Enceladus The Hexagon hurricane is on the North Pole of the planet Uranus
The true statements are:Jupiter's Great Red Spot is in the southern hemisphere.The fastest wind speed recorded in our solar system is on Neptune.
Among the given statements, only two are true. Jupiter's Great Red Spot, a massive storm, is indeed located in the southern hemisphere of the planet. The Great Red Spot is a prominent feature on Jupiter, visible as a giant swirling storm system. On the other hand, the fastest wind speed recorded in our solar system, reaching speeds of up to 2,100 kilometers per hour (1,300 miles per hour), is found on Neptune.
The strong winds on Neptune contribute to its dynamic atmosphere and the formation of features like the Great Dark Spot. The remaining statements about Pluto, Saturn's moon Enceladus, and Uranus are not true according to our current understanding.
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Trina conducted an experiment to determine the average amount of salt in 1 liter of ocean water by allowing the water to evaporate and measuring the remaining salt.
Her results are shown below.
Trial Salt
1 9.9 g
2 14.2 g
3 8.7 g
4 13.4 g
What is the mean weight of the salt precipitate?
A.
46.2 g
B.
11.7 g
C.
11.3 g
D.
11.5 g
Answer:
The answer is . A 46.2g
How would cars fly what would keep them flying
Two weeks ago I would have said flying cars were still firmly in the realm of techno-utopian fantasy, as they have been for decades. Now I’m not quite so sure.
In the coming few years nearly 20 small airborne vehicles are supposedly hitting the market (see table below). Some are drone-like, with anywhere from four to 18 rotors keeping them aloft. Most are fixed-wing craft with propellers that point upwards for vertical takeoff and landing (VTOL), and tilt forward for flight.
Answer:
if people somehow try puting airplane parts into cars than they wud use the same ways to fly etc.
Explanation:
Please help me with these questions please!
An electrostatic precipitator is a device used to remove dust particles from gases which go up chimneys.
What is electrostatic?Electrostatic is a type of physical phenomenon that occurs when electric charges accumulate in a certain area. This typically happens when particles with opposite electric charges come together, such as when two objects with different charges come in contact with each other.
It works by creating a potential difference between two electrodes, usually a negatively charged plate and a positively charged wire grid. This potential difference creates an electric field, which causes the dust particles to become charged. The charged particles are then attracted to the oppositely charged electrode, where they are collected. In this example, the potential difference between the two electrodes is 50 kV.
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Which event is possible when you toss a number cube Labelled 1 to 6?
The event that is possible when you toss a number cube labelled 1 to 6 is getting a number less than 7.
It is certain that you will get a number less than 7 if you roll a number cube with the numbers 1 through 6. There are six possible outcomes for this scenario (all the numbers from 1 to 6). The likelihood of "receiving less than 7" is therefore 6 / 6 or 1.
Generally speaking, a probability of 0 denotes an event's impossibility while a probability of 1 denotes an event's certainty of occurring.
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a hot metal block is placed into 50g of water in an insulated container the water increases in temperature from 20c to 32c the specific heat capacity of water is 4200j/kgk calculate the quantity of heat energy supplied to the water from the metal
Answer:…..
Explanation:
The quantity of heat energy supplied to the water from the metal is 2520 J.
What is meant by specific heat capacity ?The quantity of heat energy needed to increase the temperature of one kilogram of a substance by one degree Celsius is known as the substance's specific heat capacity.
Here,
Mass of the water in the container, m = 50 g = 0.05 kg
Initial temperature of the water, T₁ = 20°C = 293 K
Final temperature of the water, T₂ = 32°C = 305°C
Specific heat capacity of water, C = 4200 J/kgK
The expression for the quantity of heat energy supplied to the water from the metal is given by,
Q = mcΔT
Q = mC(T₂ - T₁)
Applying the values of m, C, T₁ and T₂
Q = 0.05 x 4200 (305 - 293)
Q = 210 x 12
Q = 2520 J
Hence,
The quantity of heat energy supplied to the water from the metal is 2520 J.
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. Consider a one-dimensional wavefunction given by ψ(x)=Axe −αx
, with A,α as constants, and 0≤ x<[infinity]. a. Show that this wavefunction satisfies the 1-D time independent Schrödinger equation having a potential term V(x)=− x
q 2
, where q is a constant and α= ℏ 2
mq 2
. b. Calculate the energy eigenvalue, E, in terms of ℏ,m,q. c. Find the value of A that normalizes the wavefunction. Hint: the following definite integral will be helpful: ∫ 0
[infinity]
x n
e −ax
dx= a n+1
n!
where n is an integer and a is a constant.
The wavefunction ψ(x) = Axe^(-αx) satisfies the one-dimensional time independent Schrödinger equation with the potential term V(x) = -xq^2, where q = √(αℏ^2/m).
To show that the wavefunction ψ(x) = Axe^(-αx) satisfies the one-dimensional time independent Schrödinger equation, we need to verify if it satisfies the equation:
(-ℏ^2/2m) * (d^2ψ/dx^2) + V(x)ψ = Eψ
where V(x) = -xq^2. Let's substitute the wavefunction and potential term into the equation and simplify:
(-ℏ^2/2m) * (d^2(Axe^(-αx))/dx^2) + (-xq^2)(Axe^(-αx)) = E(Axe^(-αx))
Differentiating ψ(x) twice, we get:
(-ℏ^2/2m) * [(Ae^(-αx))(α^2x - 2α + 2α^2x^2 - 2αx)] + (-xq^2)(Axe^(-αx)) = E(Axe^(-αx))
Simplifying further, we have:
(Ae^(-αx)) * [(-ℏ^2/2m)(α^2x - 2α + 2α^2x^2 - 2αx) - xq^2] = E(Axe^(-αx))
Expanding and rearranging terms, we obtain:
(Ae^(-αx)) * [-ℏ^2α^2x + ℏ^2(2α - α^2x - 2α^2x^2) - 2mαx^2 - mα^2x^3 + xq^2] = E(Axe^(-αx))
Comparing the coefficients of similar powers of x on both sides, we can equate the terms and obtain a relationship between q and α:
-ℏ^2α^2 = Eq^2 ... (1)
By substituting α = ℏ^2/(2mq^2) into equation (1), we can verify that the relationship holds. Therefore, the wavefunction satisfies the one-dimensional time independent Schrödinger equation with the given potential term.
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the symbolic expression for the magnitude of the current i through the resistor
The symbolic expression for the magnitude of the current (i) through a resistor can be determined using Ohm's Law, which states that the current flowing through a resistor is directly proportional to the voltage across it and inversely proportional to its resistance.
Mathematically, Ohm's Law can be expressed as: i = V/R
Where:
i is the magnitude of the current flowing through the resistor,
V is the voltage across the resistor, and
R is the resistance of the resistor.
This equation shows that the current (i) is equal to the voltage (V) divided by the resistance (R). Therefore, to calculate the magnitude of the current through a resistor, you need to know the applied voltage and the resistance of the resistor. By substituting these values into the equation, you can find the value of the current.
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4. Once the child in the sample problem reaches the bottom of the hill,
she continues sliding along flat; snow-covered ground until she comes
to a stop. If her acceleration during this time is -0.392 m/s², how long
does it take her to travel from the bottom of the hill to her stopping
point?
Answer:
8.04 seconds
Explanation:
Assuming that the child starts from rest at the bottom of the hill and travels until she comes to a stop, we can use the following kinematic equation:
v_f^2 = v_i^2 + 2ad
where v_f is the final velocity (which is zero since the child comes to a stop), v_i is the initial velocity (which is the velocity at the bottom of the hill), a is the acceleration (-0.392 m/s²), and d is the distance traveled.
We can solve for d:
d = (v_f^2 - v_i^2) / (2a)
= (0 - v_i^2) / (2-0.392)
= v_i^2 / 0.784
Since the child is sliding along flat snow-covered ground, there is no change in elevation, so we can use the distance traveled from the bottom of the hill to the stopping point as the distance d.
To find the time it takes for the child to travel this distance, we can use the following kinematic equation:
d = v_it + 0.5a*t^2
where t is the time and all other variables are as previously defined.
Substituting the expression for d obtained above, we get:
v_i^2 / 0.784 = v_it + 0.5(-0.392)*t^2
Solving for t, we get:
t = (2 * v_i) / 0.392
We still need to find the value of v_i, the initial velocity of the child at the bottom of the hill. To do so, we can use conservation of energy. The child starts at rest at the top of the hill, so all the initial energy is potential energy. At the bottom of the hill, all the potential energy has been converted to kinetic energy. Assuming no energy is lost to friction, we can equate these two energies:
mgh = 0.5mv_i^2
where m is the mass of the child, g is the acceleration due to gravity (9.8 m/s²), and h is the height of the hill.
Solving for v_i, we get:
v_i = √(2gh)
Substituting this expression for v_i into the expression for t obtained earlier, we get:
t = (2 * √(2gh)) / 0.392
Plugging in the values of g, h, and a, we get:
t = (2 * √(29.820)) / 0.392 = 8.04 seconds
The Coulomb force between two charges q1 and q2 at separation r in the air is 10N. If half of the separation is filled with medium of dielectric constant 7, what will be the value of new coulomb force?
Answer:
The value of new coulomb force is 1.43 N.
Explanation:
Given;
Coulomb's force in vacuum (air), \(F_v\) = 10 N
dielectric constant, K = 7
The Coulomb's force between two charges separated by a distance r in a vacuum is given as;
\(F_v = \frac{1}{4\pi \epsilon_0} \frac{q_1q_2}{r^2}\)
The Coulomb's force between two charges separated by a distance r in a medium with dielectric constant is given as
\(F_m = \frac{1}{4\pi K\epsilon_0} \frac{q_1q_2}{r^2}\)
Take the ratio of the two forces;
\(\frac{F_v}{F_m} = \frac{1}{4\pi \epsilon_0} \frac{q_1q_2}{r^2} \ \times \ \frac{4\pi K\epsilon_0 r^2}{q_1q_2} = K\\\\\frac{F_v}{F_m} = K\\\\\frac{10}{F_m} = 7\\\\F_m = \frac{10}{7} \\\\F_m = 1.43 \ N\)
Therefore, the value of new coulomb force is 1.43 N.
A laser emits a narrow beam of light. The radius of the beam is 1.5 mm, and the power is 1.9 mW. What is the intensity of the laser beam?
Answer: 268.80 W/m^2
Explanation:
Intensity = Power/Area
first convert radius to meters
1.5mm= 1.5x10^-3m
area= pi (1.5x10^-3)^2
= 7.069m^2
convert power to W
1.9mW= 1.9x10^-3W
plug into intensity formula
(1.9x10^-3)/(7.069) = 268.80 W/m^2