The speed ratio va/vb is equal to 4/1, assuming K₁ is the kinetic energy of ball a and K₂ is the kinetic energy of ball b.
When an object is moving, it gains kinetic energy. Kinetic is an adjective that means relating to motion. So, yeah, kinetic energy is the energy acquired by a moving object.
The equation for kinetic energy is K = 1/2 · m · v², where K is the kinetic energy, m is the mass, and v is the velocity (sometimes called "speed").
Suppose that K₁ is the kinetic energy of ball a and K₂ is the kinetic energy of ball b. Therefore, [tex]K_1/K_2 = 8K_1/K_2 = \frac{8\cdot 0.5(1/2m)(v^2)}{0.5(m)(v^2)}=\frac{2mv^2}{1/2mv^2}\:.[/tex]
Let the masses and the exponents be ignored. We're now left with 2va and 1/2vb (va = the velocity of ball a; vb = the velocity of ball b):
[tex]\frac{2mv^2}{1/2mv^2}=\frac{2va}{1/2vb}=\frac{4va}{vb}\:.[/tex]
The speed (velocity) ratio va/vb then is equal to 2/(1/2) or 4/1.
Learn more about kinetic energy at https://brainly.com/question/30176483.
#SPJ4
solve h in mgh=1/2 mv^2
Answer:
h=mv^2/mg
h=v^2/g
Explanation:
please make me as brainlest
Answer:
Answer is in attached photo.
Explanation:
SolutionThe solution is in the attached photo, do take note for this question, we are making h the subject, and in equations, we can cancel like terms.
g what should be the density of the mud so that the pressure at a becomes zero? density of crude oil is 880 kg/m3 .
The density of the mud should be approximately 1029 kg/m^3 in order for the pressure at point A to be zero.
In order for the pressure at point A to be zero, the pressure at point B must be equal to the pressure due to the weight of the mud column above it. This pressure is given by:
P = ρgh
Since the density of the crude oil is given as 880 kg/m^3. The height of the mud column is given by:
h = P/(ρgh) = 0.1 m/(880 kg/m^3 * 9.81 m/s^2) ≈ 1.14 mm
ρ = P/(g h) = 0.1 m/(9.81 m/s^2 * 0.1 m) ≈ 1029 kg/m^3
To know more about Density, here
https://brainly.com/question/29775886
#SPJ4
an astronomical radio telescope observatory on the moon is best located on ? because to block out the radio noise of earth and its increasingly noisy fleet of satellites:
The far side of the Moon is the best location for an astronomical radio telescope observatory because it is shielded from most of the radio noise from Earth.
What is the telescope ?A telescope is an instrument used to observe distant objects by collecting and magnifying electromagnetic radiation (such as visible light, infrared, and ultraviolet radiation). Telescopes come in a variety of sizes and configurations, and are used by astronomers and other scientists to observe the properties of distant stars, galaxies, and other celestial objects. Telescopes are also used by hobbyists and amateur astronomers to observe the night sky. While there are many types of telescopes, the most common are refracting and reflecting telescopes. Refracting telescopes use a combination of lenses to collect and focus light, while reflecting telescopes use mirrors to do the same. Telescopes can also be used to observe the planets in our Solar System, as well as comets and asteroids.
To learn more about telescope
https://brainly.com/question/28849808
#SPJ4
Can we see a source of light through a bent tube? Explain your your answer
Yes, you can see a source of light through a bent tube, but it may appear distorted or refracted due to the bending of the tube.
How can we see a source of light through a bent tube?When light passes through a bent tube, it is refracted or bent due to the change in the refractive index of the medium. As a result, the light rays are redirected and follow a curved path, allowing us to see the source of light through the tube.
The amount of bend or refraction depends on the angle of bend, the type of material the tube is made of, and the wavelength of light. The phenomenon is described by the law of refraction, also known as Snell's law.
Learn more about refraction of light here: https://brainly.com/question/27932095
#SPJ1
What is the activation energy for a reaction if its rate constant?
The slope is a straight line when the rate constant (lnk) is plotted against the inverse energy of the temperature (kelvin). Where R is a constant equal to 8.314 J/mol-K, the slope's value (m) is equal to -Ea/R.
What is the best way to define activation energy?The bare minimum additional energy needed by a reactive molecule to transform into a product is known as activation energy. The minimal quantity of energy required to activate or energize can also be used to characterize it.
What do threshold energy and activation energy mean?
Threshold energy is the bare minimum of energy required for an effective collision between reactant molecules and product formation. The additional energy needed by the reactants to undergo activation is known as activation energy.
To know more about energy visit:
https://brainly.com/question/1819972
#SPJ4
calculate the rotational inertia of a meter stick, with mass 0.62 kg, about an axis perpendicular to the stick and located at the 25 cm mark. (treat the stick as a thin rod.)
The rotational inertia of the meter stick about the given axis is 0.023 kg m².
What is the rotational motion?
Rotational motion is a type of motion in which an object or particle rotates around an axis. This type of motion is commonly seen in spinning tops, wheels, and other objects that have a rotating portion.
The rotational inertia of an object depends on its mass distribution and the distance of that mass from the axis of rotation. For a thin rod rotating about an axis perpendicular to its length, the rotational inertia is given by the formula:
[tex]\mathrm{I = (1/12) \times m \times L^2}[/tex]
where I is the rotational inertia, m is the mass of the rod, and L is the length of the rod.
In this case, the length of the meter stick is 1 meter, or 100 cm. The mass of the stick is 0.62 kg. We are interested in the rotational inertia about an axis perpendicular to the stick and located at the 25 cm mark. To find the rotational inertia, we need to consider the mass distribution of the stick relative to this axis.
The stick can be divided into two parts: a 25 cm section from one end, and a 75 cm section from the other end. The 25 cm section has a mass of:
m₁ = (25/100) × 0.62 kg
= 0.155 kg
The center of mass of this section is located at its midpoint, or 12.5 cm from the axis.
The 75 cm section has a mass of:
m₂ = (75/100) × 0.62 kg
= 0.465 kg
The center of mass of this section is located at its midpoint, or 50 cm from the axis.
To find the rotational inertia of the meter stick about the axis at the 25 cm mark, we need to add together the contributions from each section:
[tex]\mathrm{I = I_1 + I_2}[/tex]
where I_1 is the rotational inertia of the 25 cm section and I_2 is the rotational inertia of the 75 cm section.
For the 25 cm section, the distance of its center of mass from the axis is 12.5 cm. Using the formula for the rotational inertia of a thin rod, we get:
[tex]\mathrm{I_1 = (1/12) \times m_1 \times (L_1)^2 }[/tex]
= (1/12) × 0.155 kg × (0.25 m)²
= 0.00114 kg m²
For the 75 cm section, the distance of its center of mass from the axis is 50 cm. Using the formula for the rotational inertia of a thin rod, we get:
[tex]\mathrm{I_2 = (1/12) \times m_2 \times (L_2)^2 }[/tex]
= (1/12) × 0.465 kg × (0.75 m)²
= 0.022 kg m²
Therefore, the total rotational inertia of the meter stick about the axis at the 25 cm mark is:
I = [tex]\mathrm{I_1 + I_2 }[/tex]
= 0.00114 kg m² + 0.022 kg m²
= 0.023 kg m²
So the rotational inertia of the meter stick about the given axis is 0.023 kg m².
To learn more about rotational motion from given link
brainly.com/question/2136775
#SPJ4
a wheel starts from rest and has an angular acceleration of 4.0 rad/s2. the time it takes to make 10 revolutions is: group of answer choices 0.50 s 0.71 s 2.2 s 2.8 s 5.6 s
The correct option is E. The time it takes to make 10 revolutions is 5.6 s.
The angular acceleration, alpha = 4 rad/s^2
the number of revolutions, N = 10 rev
the angle covered , theta = N * 2pi = 10 * 2pi rad
theta = 62.8 rad
using the second equation of motion
theta = 0 + 0.5 * 4 * t^2
62.8 = 0 + 0.5 * 4 * t^2
solving for t
t = 5.6 s
the time taken is (e) 5.6 s
A revolution is a fundamental and comparatively surprising alternate in political strength and political organization which occurs when the population revolts against the authorities, typically due to perceived oppression (political, social, monetary) or political incompetence.
Revolutions have taken place during human records and vary extensively in phrases of strategies, length, and motivating ideology. Their effects encompass main changes in culture, economy, and socio-political establishments, normally in reaction to perceived overwhelming autocracy or plutocracy.
Scholarly debates about what does and does not represent a revolution middle on numerous issues. Early research of revolutions on the whole analyzed activities in ecu records from a mental attitude, but more modern examinations encompass global activities and incorporate perspectives from several social sciences, together with sociology and political technological know-how.
To learn more about Revolutions visit here:
brainly.com/question/1291142
#SPJ4
A wheel starts from rest and has an angular acceleration of 4.0 rad/s2. the time it takes to make 10 revolutions is:
group of answer choices
A). 0.50 s
B). 0.71 s
C). 2.2 s
D). 2.8 s
E). 5.6 s
what diameter metal rod can be made to float? take the density of steel as 8,000 kg/m3 and the surface tension between the water and steel to be 72.8 mn/m. assume the contact angle between the steel and water is 30 degrees from vertical.
A metal rod with a diameter of 8.2 centimeters or less could float in water under the given conditions.
The maximum weight that can be supported by surface tension,
W = 2πσcosθd
where, σ is the surface tension between the water and steel (72.8 mn/m)
θ is the contact angle between the steel and water (30 degrees or π/6 radians)
d is the diameter of the rod
Weight of the rod is given by,
W_rod = Vρg
where, V is the volume of the rod
ρ is the density of the steel (8,000 kg/m^3)
The volume is given by:
V = π/4 * d^2 * L
where L is the length of the rod.
Setting W = W_rod,
2πσcosθd = π/4 * d^2 * L * ρ * g
d = √(4σcosθ/ρgL)
d = √(4 * 72.8 × 10^-3 N/m * cos(π/6) / (8,000 kg/m^3 * 9.81 m/s^2 * L))
d = √(6.79 × 10^-6 / L)
Therefore, the diameter of the metal rod that can be made to float depends on the length of the rod. For example, if the length of the rod is 1 meter, then:
d = √(6.79 × 10^-6 / 1) ≈ 0.082 meters or 8.2 centimeters
To know more about the surface tension, here
brainly.com/question/11348644
#SPJ4
julio intends to drive his motorcycle to a friends house 200 km away, if he increases his planned rate of speed by 10 km/h he can decrease his travel time by 40 min. what is his planned rate of speed
Julio's planned rate of speed would be 90 km/h (kilometers per hour).
This is calculated by taking the total distance (200 km) divided by the total time (2 hours minus 40 minutes, or 1 hour and 20 minutes). So, 200 km divided by 1.33 hours (1 hour and 20 minutes) is equal to 90 km/h.
Speed is a scalar quantity that measures how quickly an object is moving in a given direction. It is usually measured in units of distance per unit of time, such as miles per hour or meters per second. Speed is calculated by dividing the distance an object travels by the time it takes to travel that distance.
Learn more about expected speed:
https://brainly.com/question/6504879
#SPJ4
why is the current across a drain resistor the same as the current across drain to source in a mosfet
The current across a drain resistor is the same as the current across the drain to source in a MOSFET because the MOSFET behaves as a voltage-controlled resistor.
What is resistor ?A resistor is an electrical component that is used to reduce the flow of current in an electrical circuit. It works by creating electrical resistance, which is measured in ohms. This resistance opposes the flow of current, allowing engineers to control the voltage and current levels in a circuit. Resistors are used in many different types of applications, from controlling the speed of motors to regulating the flow of current in digital circuits.
The resistance of the MOSFET channel is controlled by the voltage applied to the gate. If the gate voltage is increased, the resistance of the channel decreases, allowing more current to flow from the drain to the source. Since the drain resistor is in series with the MOSFET channel, the same current must also flow through the resistor.
To learn more about resistor
https://brainly.com/question/24179042
#SPJ4
How much work is done by the gravitational force when a 265-kg pile driver falls 2.80 m?
The workdone by the gravitational force is 7271.6 J.
What is workdone?Work is said to be done when a force moves a body through a certain distance.
To calculate the workdone by gravitational force, we use the formula below
Formula:
W = mgh............................ Equation 1Where:
W = workdone by gravitational force m = Mass of the pile driver = 265 kgh = Height = 2.8 mg = Acceleration due to gravity = 9.8 m/s²Substitute these values into equation 1
W = 265×2.8×9.8W = 7271.6 JHence the workdone is 7271.6 J.
Learn more about workdone here: https://brainly.com/question/8119756
#SPJ1
the power output of a laser is measured by its wattage, the number of joules of energy it radiates per second. a 24.00 watt laser produces a beam of green light with a wavelength of 520.0 nm. calculate the energy of the photons and the number of photons emitted.
In physics, a photon is a particle of light or electromagnetic radiation. The energy of a photon is the amount of energy that the photon carries. This energy is directly proportional to the frequency of the radiation, and inversely proportional to the wavelength.
What is the energy of the photons and the number of photons emitted?The energy of a photon can be calculated using the formula:
E = h * c / λ
where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (2.998 x 10^8 m/s), and λ is the wavelength of the light in meters.
Converting the wavelength of the laser from nanometers to meters, we get:
λ = 520.0 nm = 520.0 x 10^-9 m
Plugging in the values, we get:
E = (6.626 x [tex]10^{-34}[/tex] J*s) * (2.998 x [tex]10^8[/tex] m/s) / (520.0 x [tex]10^{-9[/tex] m)
E = 3.815 x [tex]10^{-19[/tex] J
Therefore, the energy of each photon of the laser beam is 3.815 x [tex]10^{-19[/tex] J.
To calculate the number of photons emitted per second, we can use the formula:
P = E * f
where P is the power output of the laser in watts, E is the energy of each photon in joules, and f is the frequency of the light in hertz (Hz).
The frequency of the light can be calculated using the formula:
f = c / λ
where c is the speed of light and λ is the wavelength of the light.
Plugging in the values, we get:
f = (2.998 x [tex]10^8[/tex] m/s) / (520.0 x [tex]10^{-9[/tex] m)
f = 5.764 x [tex]10^{14[/tex] Hz
Now we can calculate the number of photons emitted per second:
P = (24.00 W) / (3.815 x [tex]10^{-19[/tex] J/photon) * (5.764 x [tex]10^{14[/tex] Hz)
P = 8.81 x [tex]10^{19[/tex] photons/s
Therefore, the 24.00 watt laser produces a beam of green light with a wavelength of 520.0 nm that contains approximately 8.81 x [tex]10^{19[/tex] photons per second, and each photon has an energy of 3.815 x [tex]10^{-19[/tex] J.
To know more about energy of the photons visit:
https://brainly.com/question/2393994
#SPJ4
a system absorbs heat q and has an equal amount of work done on it. what is the change in thermal (internal) energy of the system?
Heat absorbed = Q,Work done on system = -Q,From first law of thermodynamics,Q= W+U,So Q = -Q +U Or U = Q + Q = 2Q.
How is the change in internal energy of a system related to heat and work?The change in the internal energy of a system is the sum of the heat transferred and the work done. The heat flow is equal to the change in the internal energy of the system plus the PV work done.
What happens when a system absorbs heat?When a system absorbs heat,the molecules start moving faster because kinetic energy increases,hence disorder increases. For the same amount of heat absorbed at lower temperature,the disorder is more than at higher temperature.
To know more about thermodynamics visit:
https://brainly.com/question/1604031
#SPJ4
near one end of an electrically neutral aluminium rod lying on a table made of non conducting material ,you hold a comb that is also made of non conducting material .does a small still sphere located near the other end of the sphere
The sphere located at the opposite end of the aluminum rod does not acquire an electric charge.
The presence of a comb, held near one end of the rod, causes electrons from the rod to flow towards the comb due to its negatively charged electrons. This leads to a rearrangement of electrons within the rod, but not to the generation of an electric charge at the other end, which is too distant to be impacted by the comb.
Since both the comb and the rod are made of non-conductive materials, the flow of electrons is restricted and the rearrangement of electrons is limited, thus the sphere remains uncharged.
Learn more about electric charge brainly.com/question/26100412
#SPJ4
earth's magnetosphere is generated by question 12 options: 1) dynamo-like motions in earth's interior. 2) nuclear fusion in earth's core. 3) nuclear fission in earth's core. 4) gravitational accretion.
Earth's inner movements resemble dynamos and produce the magnetosphere. The magnetosphere of Earth is a dynamic, networked system that reacts to solar, planetary, and interstellar circumstances.
The area surrounding a planet where the magnetic field of the planet is dominant is called a magnetosphere. All of the rocky planets in our solar system have magnetospheres, but Earth's is the strongest. The enormous, comet-shaped bubble that makes up Earth's magnetosphere has been essential to the planet's capacity to support life. This magnetic environment has protected life on Earth from its inception and continues to do so. The magnetosphere protects our planet from solar and cosmic ray radiation as well as the solar wind's steady stream of charged particles that stream off the sun, which may erode the atmosphere.
Due to the convective motion of charged,
Learn more about Earth's here:
https://brainly.com/question/26302835
#SPJ4
you are stationary and you observe a frisbee being thrown out of a car. the car is going 40 m/s to the right. the frisbee is thrown at a speed of 15 m/s (relative to the car) to the right. how fast do you see the frisbee fly by?
You are stationary and you observe a frisbee being thrown out of a car. the car is going 40 m/s to the right. the frisbee is thrown at a speed of 15 m/s (relative to the car) to the right. The frisbee will fly by you at a speed of 55 m/s.
When you observe a frisbee being thrown out of a car that is traveling at 40 m/s to the right and the frisbee is thrown at a speed of 15 m/s to the right relative to the car, the speed of the frisbee relative to you is the sum of the speed of the car and the speed of the frisbee relative to the car.
So, the speed at which you see the frisbee fly by is:
speed = 40 m/s + 15 m/s = 55 m/s
Here you can learn more about Speed of a frisbee
brainly.com/question/21186191
#SPJ4
Hello please help giving brainliest. Solve for in F the diagram below given that the system is in equilibrium. The table is uniform, has a mass of 10kg and is hiņged at point A.
Answer: it'S B
Explanation:
a spring has a natural length of 16 cm. if a 23 n force is required to keep it stretched to a length of 28 cm, how much work w (in j) is required to stretch it from 16 cm to 22 cm? (round your answer to two decimal places.)
0.69 J work is required to stretch it from 16 cm to 22 cm
Define work done.
Work is the energy that is transferred when a force is applied to a moving object. The amount of force multiplied by the amount of displacement multiplied by the cosine of the angle between them results in the work that a force produces on an object.
An elastic device known as a spring is used to store mechanical energy and release it in response to the removal of an opposing force. A spring-like object's displacement and spring constant both directly affect how much force is needed to modify the object's length.
F = k Δx
23 N = k (0.28 m − 0.16 m)
k = 191 N/m
W = PE
W = ½ k (Δx)²
W = ½ 191* (0.22 m − 0.16 m)²
W = 0.69 Nm
To learn more about work use link below:
https://brainly.com/question/28356414
#SPJ4
Why might a creature have stalked another creature
Answer:
It might be because the chasing creature wanted a prey or to play
a student drops a water balloon out of a dorm window 14 m above the ground. what is its speed when it hits the ground?
The speed of the water balloon when it hits the ground is approximately equal to 16.4 m/s.
The speed of a freely falling object can be calculated using the equation:
v = √(2 × g × h),
where g is the acceleration due to gravity (9.8 m/s²), and h is the height from which the object is dropped.
In this case, h = 14 m, so substituting the values into the equation, we get:
v = √(2 × 9.8 × 14) = √(2 × 136.4) = √273.2 = 16.4 m/s.
So the speed of the water balloon when it hits the ground is approximately equal to 16.4 m/s.
To know more about speed here
https://brainly.com/question/28224010
#SPJ4
what average force is required to stop a 990 kg car in 7.2 s if the car is traveling at 83 km/h ? express your answer to two significant figures and include the appropriate units.
The average force required to stop a car, we need to calculate the change in momentum of the car. The formula for the change in momentum is given by: Δp = m * vf - vi is 32 kN.
where Δp is the change in momentum, m is the mass of the car,
vf is the final velocity, and
vi is the initial velocity.
Since the car is stopping,
the final velocity is zero.
Next, we can use the equation for force,
which is:
Force = Δp / Δt
where Δt is the time taken to stop the car.
So, we can substitute the change in momentum equation into the force equation to get:
Force = (m * vi) / Δt
Now, we can substitute the known values into this equation:
Force = (990 kg * 83 km/h) / 7.2 s
First, we need to convert the initial velocity from km/h to m/s:
83 km/h = 83 * 1000 / 3600 m/s
= 23.06 m/s
So, the equation becomes:
Force = (990 kg * 23.06 m/s) / 7.2 s
Force = 32,400 N
So, the average force required to stop a 990 kg car traveling at 83 km/h in 7.2 seconds is approximately 32,400 N. To two significant figures, this is 32 kN.
For such more question on average force
https://brainly.com/question/18652903
#SPJ4
The diagram below shows three kettles with their powers and the time they take to boil 500cm3 of water. If electricity costs 9p per unit, how much does it cost to boil 500cm3 of water using the 2.2kW kettle? Give your answer to 3 significant figures.
Power and time are multiplied to produce the energy transfer. The 378 kJ of energy produced by the 1.4 kW teapot with boiled water. Describe energy. The quantitative property is energy.
What does the word "energy" mean?
The capacity to perform work is energy. Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one type to the other and use it to accomplish tasks, making modern civilization possible. Walking, bicycling, driving, rowing, and using stoves all require the usage of energy from people.
Why is energy necessary, and what is it?
Energy is the capacity to carry out work. Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one kind to the other and utilize it to accomplish tasks, making modern civilization possible.
To know more about energy visit:
https://brainly.com/question/1932868
#SPJ1
if an airplane is consuming 95 pounds of fuel per hour at a cruising altitude of 6,500 feet and the groundspeed is 173 knots, how much fuel is required to travel 450 nm?
If an airplane is consuming 95 pounds of fuel per hour at a cruising altitude of 6,500 feet and the ground speed is 173 knots, the amount of fuel required to travel 450 NM is 248 pounds.
Velocity is the speed of an object in motion in a particular direction as its rate of change in position from a particular frame of reference as observed by an observer and is measured by a particular standard of time. Velocity is a physical vector quantity. It has both magnitude and direction. The scalar absolute value (magnitude) of velocity is called speed. The amount of fuel consumed by the airplane is 95 pounds of fuel per hour. The height of the altitude, h= 6500 feet. The ground speed of the airplane, v= 173 knots. The distance for the airplane to travel, d= 450NM. The amount of fuel required = is 248 pounds.
For further learning about speed, refer to link: https://brainly.com/question/9834403
#SPJ4
A diffraction grating is used to measure the wavelength of monochromatic light,
The spacing of the slits in the grating is 1.00 x10-6 m. The angle between the first order diffraction maxima is 70.0
What is the wavelength of the light?
The wavelength of the light is 939.7 × 10⁻⁹ meter or 939.7 nm.
What is diffraction grating?A diffraction grating is a periodic optical element used in optics that splits light into many beams that move in various directions. A type of structural coloring is the coloration that is emerging.
The spacing of the slits in the grating is 1.00×10⁻⁶ m.
The angle between the first order diffraction maxima is 70.0°
Let the wavelength of the light = λ
Hence,
1.00×10⁻⁶ × sin70.0° = 1 × λ
λ = 939.7 × 10⁻⁹
Hence, the wavelength of the light is 939.7 × 10⁻⁹ meter or 939.7 nm.
Learn more about diffraction here:
https://brainly.com/question/12290582
#SPJ1
a ball rolls up a slope. at the end of three seconds its velocity is 20 cm/s; at the end of eight seconds its velocity is 0 cm/s. what is the magnitude of its average acceleration from the third to the eighth second?
The average acceleration magnitude from 3 to 8 seconds is -4 m/s²
Average acceleration is defined as the rate of change in velocity or change in velocity per unit time. The units of acceleration are the square of distance and time. A symbol with a bar above it is read as an average. So the bar is the average acceleration. Average acceleration is displacement change divided by elapsed time. Instantaneous acceleration is the acceleration at a point in time.
Average acceleration = (v2 - v1) / (t2 - t1) = (0 m/s - 20 m/s) / (8 s - 3 s)
= -20m/s / 5s = -4m/s^2
The average acceleration magnitude from 3 to 8 seconds is -4 m/s²
Learn more about acceleration
brainly.com/question/28743430
#SPJ4
if the heating value of coal (heat that is realeased when 1 kg of coal is burned) is 30 mj/kg , determine the rate of consumption of coal in tons(us)/day . assume that 100 % of heat released goes to the cycle.
The rate of consumption of coal is approximately 0.102 tons per day.
The heating value of coal, which is the amount of heat released when 1 kilogram of coal is burned, is 30 megajoules per kilogram. If 100% of this heat is used in a cycle, the rate of consumption of coal in tons per day can be determined by multiplying the heating value by the number of kilograms of coal burned in a day and converting the result to tons. To convert megajoules to tons, you can divide the result by the energy equivalent of 1 ton of coal, which is approximately 29.3 gigajoules. The calculation would be as follows: (30 MJ/kg) × (kg of coal burned in a day) / (29.3 GJ/ton) = tons of coal burned per day.
Let's assume that the rate of consumption of coal is 10,000 kilograms per day.
The calculation to determine the rate of consumption in tons per day would be as follows:
(30 MJ/kg) × (10,000 kg/day) / (29.3 GJ/ton) = (30 × [tex]10^{6}[/tex] J/kg) × (10,000 kg/day) / (29.3 × [tex]10^{9}[/tex] J/ton) = 0.102 tons/day.
So, the rate of consumption of coal is approximately 0.102 tons per day when 10,000 kilograms of coal are burned per day and 100% of the heat is used in the cycle.
Learn more about coal:
brainly.com/question/12981477
#SPJ4
how can i change speed of object in unity based on slope where moving faster going down slopes and slower up slopes
You can implement this logic in Unity using a script that checks the object's slope angle and adjusts its speed accordingly.
To change an object's speed in Unity based on the slope of the surface it's moving on, you can calculate the angle of the slope using the normal vector of the surface. Then, you can adjust the speed of the object by applying a speed multiplier based on the slope angle.
If the angle is less than 90 degrees, the speed multiplier will be greater than 1, making the object move faster downhill. If the angle is greater than 90 degrees, the speed multiplier will be less than 1, making the object move slower uphill.
To know more about the slope, here
brainly.com/question/24676577
#SPJ4
a student pushes against a wall until they are exhausted!!! (and obviously the wall doesn't move) has the student done any work on the wall?
No, the student has not done any work on the wall. Work is defined by physics as the transfer of energy from one object to another.
In this case, the student is exerting a force on the wall, but since the wall is not moving, no energy is being transferred and thus no work has been done.
Work is a fundamental concept in physics, and it can help us better understand how objects interact with each other and the environment around them. In a general sense, work is defined as the transfer of energy from one object to another, usually through the application of a force. This means that when a force is applied to an object, work is done on it and the object moves in the direction of the applied force.
Learn more about force:
https://brainly.com/question/12785175
#SPJ4
Estimate the value of resistances needed to make a variable timer for intermittent windshield wipers: one wipe every 15 s, 8 s, 4 s, 2 s, 1 s. Assume the capacitor used is on the order of 10 μF. Estimate the minimum and maximum value of resistance
The maximum value of resistance is 1500kΩ while the minimum value of resistance is 100kΩ.
Given the capacitance of capacitor (C) = 10μF
Let the resistance be = R
Le the time take be = t
We know that the relation between resistance, capacitance and time taken are identified as: T = RC
When capacitance increases, the time it takes for the resistance to be reduced increases. This is because capacitance is the ability of a device to store electrical energy, and as capacitance increases, the amount of energy stored increases, and so it takes longer for the resistance to be reduced.
Given t = 15s, then R = 15/10μF = 1500kΩ
For t = 8s, then R = 8/10μF = 800kΩ
For t = 4s, then R = 4/10μF = 400kΩ
For t = 2s, then R = 2/10μF = 200kΩ
For t = 1s, then R = 1/10μF = 100kΩ
To learn more about resistance click here https://brainly.com/question/11431009
#SPJ4
a solid sphere of radius 40.0 cm has a total positive charge of 26.0 mc uniformly distributed throughout its volume. calculate the magnitude of the electric field (a) 0 cm, (b) 10.0 cm, (c) 40.0 cm, and (d) 60.0 cm from the center of the sphere.
The magnitude of the electric field at (a) 0 cm, (b) 10.0 cm, (c) 40.0 cm, and (d) 60.0 cm from the center of the sphere will be respectively, (a) Infinite, (b) 2.26 × 10^5 N/C, (c) 6.52 × 10³ N/C, and (d) 2.26 × 10³ N/C.
If an electric field is r distance from the center of a uniformly charged sphere which has the radius R and if the charge total is Q the equation of charge equal to,
E = k × Q / r² ( k is the coulomb-constant )
If the distance is 0 cm the magnitude of the charge will be infinite.
If the distance is 10 cm, the magnitude will be,
8.99 × 10^9 Nm²/C² × 26 × 10^-6 C / (10² cm)² = 2.26 × 10^5 N/C
If the distance from the sphere is 40 cm, the magnitude of the electric field will be,
8.99 × 10^9 Nm²/C² × 26 × 10^-6 C / (40² cm)² = 6.52 × 10³ N/C.
If it is 60 cm then,
8.99 × 10^9 Nm²/C² × 26 × 10^-6 C / (60² cm)² = 2.26 × 10³ N/C.
Learn more about electric field:
https://brainly.com/question/28561944
#SPJ4