The muzzle velocity of the dart gun is 18.4 m/s. To solve this problem, we can use the equations of motion for projectile motion. We know that the dart travels a horizontal distance of 7.5 m and a vertical distance of 0.76 m.
We also know that the acceleration in the horizontal direction is zero, and the acceleration in the vertical direction is equal to the acceleration due to gravity, which is approximately 9.81 m/s^2. Let's first find the time it takes for the dart to travel 7.5 m horizontally. We can use the equation:
Distance = velocity x time
Rearranging this equation, we get: time = distance/velocity
Substituting the values we know, we get:
time = 7.5 m / velocity
Next, let's find the initial vertical velocity of the dart. We can use the equation: vertical distance = initial vertical velocity x time - 0.5 x acceleration x time^2
Since the dart is initially fired horizontally, its initial vertical velocity is zero. We can rearrange the above equation to solve for the initial velocity:m initial vertical velocity = vertical distance/time + 0.5 x acceleration x time
Substituting the values we know, we get: initial vertical velocity = 0.76 m / time + 0.5 x 9.81 m/s^2 x time; Now we can substitute the expression for the time we found earlier: initial vertical velocity = 0.76 m / (7.5 m / velocity) + 0.5 x 9.81 m/s^2 x (7.5 m / velocity)
Simplifying, we get:
initial vertical velocity = 0.10133 x velocity + 3.66375
Finally, we can use the Pythagorean theorem to find the muzzle velocity:
muzzle velocity = sqrt(velocity^2 + initial vertical velocity^2)
Substituting the expression we found for initial vertical velocity, we get:
muzzle velocity = sqrt(velocity^2 + (0.10133 x velocity + 3.66375)^2)
Using this method, I found that the muzzle velocity of the dart gun is approximately 18.4 m/s. Therefore, the answer to the problem is:
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acceleration is a vector and has direction. when the object moves to the right and speeds up, what is the direction of the acceleration? group of answer choices to the right. to the left. up. down. in the direction of the force that is causing the change of speed. in the direction of the gravitational force.
An object that is travelling to the right would accelerate in the same direction as its motion, which would be to the right. This is so because acceleration, which encompasses both speed and direction of motion, is the rate at which velocity changes.
If an object is going to the right and then accelerates, the acceleration would also be moving to the right, following the motion. This is so because acceleration, which encompasses both speed and direction of motion, is the rate at which velocity changes. While the item in this instance is moving faster, its velocity is rising in the same direction as its motion, and consequently, the acceleration is likewise moving faster. The other possible solutions don't work in this case.The rate at which velocity changes is known as the acceleration, which is a vector quantity. The speed and direction of motion of an object are described by a vector called velocity.
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How could you increase the precision and accuracy of your wavelength measurement?
To increase the precision and accuracy of a wavelength measurement, you can take the following steps:
Use a higher-quality measuring instrumentIncrease the number of measurementsHow to increase the precision and accuracy of a wavelength measurementUse a higher-quality measuring instrument: Using a higher-quality instrument that is designed to measure wavelength with high accuracy and precision can improve the results. For example, a high-quality spectrometer can be used to measure the wavelength of light.
Increase the number of measurements: Taking multiple measurements and averaging the results can reduce the effect of random errors and improve precision.
Minimize sources of error: Minimizing sources of error, such as fluctuations in temperature and pressure, can also improve the precision and accuracy of measurements.
Calibrate the instrument: Calibration of the instrument against a known reference can improve the accuracy of measurements.
Use appropriate units: Using appropriate units that are compatible with the instrument being used can prevent errors caused by unit conversions.
Overall, increasing precision and accuracy requires careful attention to the details of the measurement process, from the choice of instrument to the environmental conditions in which the measurement is made.
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A tire swing is pulled back and swings back-and-forth five times in 20 seconds . How long was the rope ?and what was the frequency?
Here, the frequency of the swinging is 0.05 Hz and the length of the rope through the which the oscillatory wave is travelling is 99.3 meters.
What is frequency ?Frequency of an oscillation is the number of wave cycles per unit time. It is the inverse of time period. As the length of the pendulum increases, the frequency of oscillation decreases. Therefore, the shorter pendulum will have greater frequency.
Given time period of pendulum =20 s.
then length of pendulum L = T²/4π² g.
l = 20²/4×π² × 9.8 m/s² = 99.3 m.
Frequency of the oscillation is the inverse of its time period. Hence, the frequency of the pendulum for a time period of 8 Hz is :
1/20 = 0.05 Hz.
Therefore, the length of the rope is 99.3 m and the frequency of the oscillation is 0.05 Hz.
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in what direction is the earth's angular velocity for its daily rotation on its axis
The Earth's angular velocity for its daily rotation on its axis is in the counterclockwise direction (eastward).
The Earth's angular velocity for its daily rotation on its axis is in the eastward direction. From above, this movement would look like the Earth is moving counterclockwise. This means that the Earth rotates from west to east, causing the sun to appear to rise in the east and set in the west. This is also why time zones are arranged with earlier times to the east and later times to the west. The Earth's rotation on its axis is what causes the cycle of day and night.
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suppose that a motorboat is moving at 40ft/s when its motor suddenly quits, and that 10s later the boat has slowed to 20 ft/s
A body is moves through a resisting medium with resistance proportional to its velocity.
So, dv/dt = -kv
From the data
Velocity is a physical quantity that describes the rate at which an object changes its position with respect to time. It is a vector quantity, which means that it has both a magnitude and a direction.
What is velocity?From the given information, we know that the motorboat's initial velocity is 40 ft/s and its final velocity after the motor quits is 20 ft/s. We also know that the boat experiences resistance that is proportional to its velocity. This can be modeled using the differential equation:
dv/dt = -kv
where v is the velocity of the boat and k is the constant of proportionality. To solve for k, we can use the initial and final velocities of the boat:
When t = 0, v = 40 ft/s
When t = 10 s, v = 20 ft/s
Integrating the differential equation, we get:
∫ dv/v = ∫ -k dt
ln|v| = -kt + C
where C is the constant of integration.
Applying the initial condition v(0) = 40, we get:
ln|40| = C
C = ln|40|
Substituting this value into the equation, we get:
ln|v| = -kt + ln|40|
ln|v| = ln|40| - kt
Taking the exponential of both sides, we get:
|v| = e^(ln|40| - kt)
|v| = 40e^(-kt)
Applying the final condition v(10) = 20, we get:
|20| = 40e^(-k*10)
1/2 = e^(-10k)
Taking the natural logarithm of both sides, we get:
ln(1/2) = -10k
k = -ln(1/2)/10
k ≈ 0.0693
Therefore, the constant of proportionality is k ≈ 0.0693. The velocity of the motorboat at time t is given by:
v(t) = 40e^(-0.0693t)
where v is in ft/s and t is in seconds.
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consider the three parallel plate capacitors shown in figure. all three have an identical plate area and plate separation. capacitor a is air filled. capacitors b and c have their gaps half filled with a dielectric material as shown. which arrangement can store the maximum energy for a given potential difference applied?
The arrangement that can store the maximum energy for a given potential difference applied is Capacitor C.
This is because Capacitor C has the highest capacitance of the three capacitors, due to its dielectric material being present in the gap between its plates. The dielectric material increases the capacitance of a capacitor by increasing the electric field between the plates. Therefore, the capacitance of Capacitor C is higher than that of Capacitors A and B, allowing it to store more energy for a given potential difference applied. The equation for calculating the capacitance of a capacitor is given by C = εo εr A/d, where εo is the permittivity of free space, εr is the relative permittivity of the material in between the plates, A is the area of the plates and d is the distance between the plates. Since Capacitor C has the highest relative permittivity of the three capacitors, it has the highest capacitance, and therefore stores the most energy for a given potential difference applied.
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the two factors that determine gravitational attraction are mass and what else?
The two factors that determine gravitational attraction are mass and distance.
What is gravitational?Gravitational force is the force of attraction between two objects that is directly related to their mass and the distance between them. It is one of the four fundamental forces of nature, along with the electromagnetic force, weak nuclear force, and strong nuclear force. The gravitational force is responsible for keeping planets in orbit around the sun, for holding the Earth and moon in their respective orbits, and for keeping the moon spinning on its axis.
The gravitational force between two objects is determined by the product of their masses and the inverse square of their distance. This can be expressed mathematically as: F = G (m1m2) / d², where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and d is the distance between them. As the distance between two objects increases, the force of gravitational attraction between them decreases.
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A 5. 0-kg box is on a horizontal frictionless surface. A force F acts on it at an angle. What is the x-component of the acceleration of the box?
The x-component of the acceleration of the box is given by the product of the acceleration a and the cosine of the angle theta between the force and the x-axis.
The x-component of the acceleration of the box can be found using the following formula:
a_x = F_x / m
Since the force is acting at an angle, we need to first find the x-component of the force, which can be calculated using:
F_x = F × cos(theta)
Assuming that the force F is the net force acting on the box and there are no other forces acting on it, we can use Newton's second law to find the magnitude of the force:
F = ma
where F is the net force, m is the mass of the box, and a is the acceleration of the box.
Therefore, the x-component of the acceleration of the box can be calculated as:
a_x = F_x / m
= (F × cos(theta)) / m
= [(ma) × cos(theta)] / m
= a × cos(theta)
where we have substituted the expression for the magnitude of the force from Newton's second law.
So, the x-component of the acceleration of the box is given by the product of the acceleration a and the cosine of the angle theta between the force and the x-axis.
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assume that every second, 20% of the kinetic energy of the water wheel is transmitted to the grain mill. calculate the power pw in w of the grain mill based on the energy it receives from the water wheel.
The power transferred to the grain mill is equal to the rate at which kinetic energy is being transmitted from the water wheel to the mill.
We can calculate this using the formula:
P = ΔK/Δt
where P is the power, ΔK is the change in kinetic energy, and Δt is the time interval over which the change occurs.
If 20% of the kinetic energy of the water wheel is transmitted to the grain mill every second, then the change in kinetic energy of the water wheel over one second is
ΔK = -0.2 * K
where K is the initial kinetic energy of the water wheel.
Substituting this into the power formula, we get:
P = (-0.2 * K) / 1s
Simplifying, we get:
P = -0.2 * K
The negative sign indicates that the power transferred to the grain mill is in the opposite direction to the velocity of the water wheel.
To determine the power in watts, we need to know the initial kinetic energy of the water wheel and convert it to watts. The formula for kinetic energy is:
K = 0.5 * m * v^2
where m is the mass of the water wheel and v is its velocity.
Without knowing the mass and velocity of the water wheel, we cannot determine the exact power in watts. However, we can provide a general expression for the power in terms of the mass and velocity of the water wheel:
P = -0.1 * m * v^2
where m is in kilograms and v is in meters per second. The power is negative because the energy is being transferred in the opposite direction to the velocity of the water wheel.
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what is the magnitude of the acceleration of a skydiver who is currently falling at one-half his eventual terminal speed?
0.68 m/s² is the magnitude of the acceleration of a skydiver who is currently falling at one-half his eventual terminal speed.
The terminal speed of a skydiver is the maximum velocity that the skydiver reaches in freefall, where the net force acting on the skydiver is equal to zero. The terminal speed is determined by the balance between the gravitational force acting on the skydiver and the air resistance force acting on the skydiver. The acceleration of a skydiver who is currently falling at one-half his eventual terminal speed can be calculated using the equation for the net force acting on the skydiver:
[tex]F net = ma[/tex],
here,
m is mass of the skydiver,
a is acceleration.
Since, the net force is equal to zero at terminal speed, we can calculate the air resistance force at one-half the terminal speed and equate it to the gravitational force to find the acceleration. The air resistance force is proportional to the square of the velocity, so at one-half the terminal speed, the air resistance force is proportional to one-fourth of the terminal speed squared.
Let's call the terminal speed Vt and the skydiver's velocity at one-half the terminal speed V/2:-
[tex]F gravity = m * g[/tex],
here, g is acceleration due gravity (9.8 m/s^2).
[tex]F air = -k * V^2[/tex],
here, k constant that depends on the skydiver's body shape, size, and surface area.
At terminal speed, net force is zero:-
[tex]m * g = -k * Vt^2[/tex]
At one-half the terminal speed, the air resistance force is proportional to one-fourth of the terminal speed squared:-
[tex]F air = -(k/4) * Vt^2 = -(k/4) * (V/2)^2[/tex]
The gravitational force is unchanged:-
[tex]F net = m * g + Fair[/tex]
Reversing in the values:-
[tex]m * g = m * g + (-k/4) * (V/2)^2[/tex]
Rearranging the eq.:
[tex](k/4) * (V/2)^2 = m * g[/tex]
Dividing both sides by m:-
[tex](k/4) * (V/2)^2 / m = g[/tex]
[tex](V/2) / \sqrt{((k/4) / m)} = \sqrt{(g)}[/tex]
Finally, dividing both sides by (V/2):-
[tex]a = \sqrt{(g)} / \sqrt{ ((k/4) / m)}[/tex]
Note that the constant k is difficult to calculate exactly, as it depends on many factors such as the skydiver's body shape, size, and surface area, as well as the air density and altitude. However, we can use an estimated value of k to find an approximate value for the acceleration. For example, a common value used for k is 0.75, so if we use this value, we get:
[tex]a = \sqrt{(9.8 m/s^2)} / \sqrt{((0.75/4) / m)} = 0.677 = 0.68 m/s^2[/tex].
Hence, the magnitude of the acceleration of a skydiver who is currently falling at one-half his 0.68 m/s².
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Sarah rides her horse with a constant speed of 20 km/h. How far can she travel in 4 hours
Answer:
Sarah can travel 80 km in 4 hours at a constant speed of 20 km/h.
Explanation:
The distance that Sarah can travel in 4 hours can be calculated by multiplying her speed (20 km/h) by the time (4 hours):
distance = speed x time
distance = 20 km/h x 4 hours = 80 km
Answer:
80 km
Explanation:
Speed = Distance / Time
20 = Distance / 4
Distance = Speed x Time
Distance = 20 x 4
Distance = 80 km
Hope it helps
A nasa orbiter recently captured craters and formations on mars that resembled the face of which animal?
A NASA orbiter recently captured craters and formations on mars that resembled the face of a bear's face.
NASA’s Mars surveillance orbiter camera captured an unusual conformation that — much to the delight of scientists and space watchers looked like the shape of a bear’s face, hundreds of millions of long hauls down.
The “ nose ” is actually a hill in the shape of the letter V; its “ eyes ” are two small, crooked craters, according to the University of Arizona, which participated its analysis of the print last week.
The circle making up the “ head ” — what the university called “ the indirect fracture pattern ” — “ might be due to the settling of a deposit over a buried impact crater. ”
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a spring whose equilibrium length is 6 m is compressed to a length of 1/2 m when a force of 15 n is applied. find the work done by the spring force while it is compressed to a length of 5 m.
A spring whose equilibrium length is 6 m is compressed to a length of 1/2 m when a force of 15 n is applied. 187.5 mJ is the work done by the spring force while it is compressed to a length of 5 m.
compression in spring x = 5m.
spring constant = 15 n/m
Magnitude of work done = Potential energy stored in spring W = 1/2 kx²
= 1/2 × 15 × 5 × 5
= 187.5 mJ
The spring's natural length is its length without any mass attached. We suppose that the spring obeys Hooke's law: if the spring's length is modified by an amount L from its natural length, the spring produces a force
Fs = kL,
where,
k is a positive quantity known as the spring constant.
F = -kx.
The spring constant is the proportional constant k. It is a measure of the stiffness of the spring. When a spring is stretched or compressed by an amount x from its equilibrium length, it produces a force F = -kx in the direction of its equilibrium position.
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Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears _________ star B. Choose one: A. 3 times brighter than B. 9 times brighter than C. one-third as bright as D. the same brightness as E. one-ninth as bright as\
Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.
What is luminosity?
Luminosity is a measure of the amount of energy that is emitted by a star or other celestial object, usually measured in terms of its brightness. It is related to the star's surface area and temperature, as well as its distance from the observer. Luminosity is an important factor in determining the evolution of a star and its eventual fate.
Therefore, Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.
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A simple circuit consists of a battery, a light bulb, a capacitor, a switch, and some wire. When the switch is turned on, charges are moved from one plate of the capacitor, through the battery, and all the way around to the other plate. Which of the following occur during that time?
I Chemical potential energy is decreased.
II Electrical potential energy is increased.
III Thermal energy is increased.
II only
I only
I and II only
All of the above
Chemical potential energy is decreased, electric energy is increased and thermal energy is increased. All the above is correct.
Conversion of energy Energy is transferred throughout electrical circuits as well. The battery's two sides convert the chemical energy inside it into electrical potential energy. This electrical potential energy is converted into electric energy in the electricity that circulates through the circuit.Energy is conserved in all circumstances, which is another thing we know. Energy, according to the principle of energy conservation, never creates nor destroys itself; instead, it just changes from one type or location to another. But from a circuit perspective,How does this operate?It's true that the two sides of the battery have a different electrical potential energy, as we previously mentioned. Or, to put it another way, the circuit's electrons originally possess electric potential energy before they begin to travel.For more information on conversion of energy kindly visit to
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When a person is standing on a scale, the magnitude of what force is displayed by the scale?
a)The mass of the person multiplied by their acceleration.
b)The force of the scale acting on the person minus the acceleration of the person multiplied by the person's mass.
C)The person's weight.
d)the normal force of the scale acting on the person.
When a person is standing on a scale, the magnitude of what force is displayed by the scale, The correct option is (d) The normal force of the scale acting on the person.
When a person stands on a scale, the scale displays the magnitude of the normal force that it exerts on the person. This force is known as the "normal force" because it is perpendicular to the surface of the scale and opposes the force of gravity pulling the person down. In this case, the normal force is equal in magnitude to the weight of the person, which is the force of gravity acting on their mass.
In this scenario, the person is not accelerating (since they are standing still), so the net force on them is zero. The normal force of the scale acting on the person balances the force of gravity pulling them down, so the net force is zero. Therefore, the force displayed on the scale is the normal force, which is equal in magnitude to the weight of the person.
Option (a) is incorrect because the acceleration of the person is not relevant in this scenario, as they are not accelerating.
Option (b) is also incorrect because it suggests that the force displayed on the scale is the force of the scale acting on the person minus some other force, which is not accurate.
Option (c) is partially correct in that it refers to the person's weight, but it does not explicitly state that the scale is displaying the normal force acting on the person.
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HELP ME ASPPP THANKYOU
Answer:
the second option
Explanation:
an object vibrating at a second objects natural frequency forces the second object to vibrate
A wave has a frequency of 30 hz and speed of 60 m/s what is the wavelength of the wave
The definition of frequency, expressed in hertz, is the number of oscillations of a wave per unit of time (Hz). The relationship between frequency and pitch is straightforward. Frequencies between 20 and 20000 Hz are audible to humans.
What is the relation in frequency and wavelength in wave?The number of wave cycles or revolutions per second is known as frequency. The following is the frequency-based formula for period (T): If wavelength and velocity are taken into account for any wave, the Frequency Formula is expressed as. f = v λ
he relationship between these two factors is justified by the fact that the speed at which a wave travels is equal to the product of its frequency and wavelength.
V=fλ
f represent frequency
V= speed
λ = wavelength
by using this formula
λ = v/ f = 2nm
Therefore, 2nm is the wavelength of the wave.
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14.
Car A travels at a velocity of 80 km/hr with a mass of 1200 kg. Car B's velocity is 20 km/hr with a
mass of 2400 kg. Which car has the greatest momentum?
Formula
Work
Answer with units
The momentum is the product of mass and velocity of an object. The momentum of object A is greater than object B.
What is Momentum?The momentum is the product of mass and velocity of an object. Momentum is a vector quantity, possessing a magnitude as well as a direction. If 'm' is an object's mass and 'v' is the velocity, then the object's momentum p is:
p = mv
Momentum of Car A, p = mv
m = 1200 kg,
v = (80 × 1000)/ (60 × 60) = 22.22 m/s
p = mv
p = 1200 × 22.22 = 26664 kg.m/s
Momentum of Car B, p = mv
m = 2400 kg,
v = (20 × 1000)/ (60 × 60) = 5.55 m/s
p = mv
p = 2400 × 5.55 = 13333.33 kg.m/s
Therefore, the momentum of Car A is greater than car B.
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a. during the phase of full moon, what phase would you see for earth? would it be daylight or dark where you live?
During the phase of full moon, the phase you would see for Earth would be a new moon. This is because during a full moon, the Moon is on the opposite side of the Earth from the Sun, so the side of the Moon that is facing the Earth is fully illuminated by the Sun.
What is full moon?When the Moon is positioned so that it is on the other side of the Earth from the Sun, it enters the full moon phase. This indicates that the Moon's side facing Earth is entirely lighted by the Sun, giving it the appearance of a brilliant, rounded disk in the sky.
The lunar cycle's brightest and most noticeable phase, the full moon, usually lasts for one or two nights. The Moon looks to be brightest and fullest at this moment, giving the ground below a dazzling glow.
In many cultures, the full moon is a significant cultural emblem and is frequently linked to mystical or spiritual significance. Additionally, it has been the focus of various scientific studies, including research into its effects on human.
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why the efficiency of the system cannot be 100%
where did the energy of the sun come from originally?
The energy of the sun originally came from the gravitational collapse of a nebula.
A nebula is a massive cloud of gas and dust known. When it gravitationally collapses, it causes the materials within it to heat up and, eventually, form a protostar. This protostar will continue to heat up and increase in pressure until nuclear fusion began in its core. This fusion of hydrogen atoms into helium releases a tremendous amount of energy, which is what powers the sun and gives it its heat and light.
So, the answer is the energy of the sun originally come from the collapse of a nebula.
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astronomers discover a planet orbiting around a star similar to our sun that is 24 light years away. how fast must a rocket ship go if the round trip is to take no longer than 48 years in time for the astronauts aboard? (enter your answer in terms of c.)
The required velocity of the rocket when one side distance is given is calculated to be 0.707 c.
The one side distance is given as 24 light years.
Time is 48 years.
The expression for speed of a rocket ship is known to be,
1 - V²/c² = V²/x² × T²
1/V² = T²/x² + 1/c²
V = √(1/(T²/x² + 1/c²)
where,
c is the speed of light
v is velocity of the rocket
For a round trip, the total distance becomes, 24×2 = 48 light years
Entering the values in the above expression, we have,
V = √(1/(T²/x² + 1/c²) = √(1/(48²/(48c)² + 1/c²) = √(1/(2/c²)) = c/√2 = 0.707 c
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Using an electric kettle 200g of water at 100 is converted into steam at 100 in 300 second. The specific latent heat of steam is 2250j/g.
What is the average of electrical power used?
Using an electric kettle, 200 g of water at 100 is converted into steam at 100 in 300 seconds, so the specific latent heat of steam is 2250 j/g, and here the average of the electrical power used by the kettle is 1500 W.
What is the significance of the electric power used by a kettle?The amount of heat required to convert 200 g of water at 100 °C to steam at 100 °C is explain below,
Q = m × L (m = mass of water; L = specific latent heat of steam)
Q = 200g × 2250 J/g = 450000 J
The time to convert the water into steam = 300 seconds, thus the average power used is:
P = Q/t = 450000 J/300 s = 1500 W
Hence, here the average of the electrical power used by the kettle with 200g of water is 1500 W.
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A pipet is used to measure out 10 mL of water. If the mass of this volume of water is 9.990 g and the density of water is given as 0.9978 g/mL, what is the actual volume of water measured out? O 10.000 mL O 9.990 mL O The actual volume measured out is impossible to tell O 10.012 mL
10.012ml is the actual volume of water measured out.
What does the word "volume" mean?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The measure of how densely a material is packed together is called density. As the mass per unit volume, it has that definition. Typically, there are two forms of density: absolute density and relative density. The ratio of a substance's density to the density of a reference material is known as its relative density, sometimes referred to as specific gravity. Water is frequently used as the reference material.
D ⇒ M/V
V ⇒ M/D
M ⇒ 9.990g
D⇒ 0.9978g/ml
V ⇒ 9.990/0.9978 ⇒ 10.012ml
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1) return the observer back to their original position, 0 degrees n and 96.7 degrees w. where in the sky would the observer look to see the constellation orion? group of answer choices directly overhead (at the zenith) on the meridian, but north of the zenith on the meridian, but south of the zenith
If the observer was to look up at midnight in late December from 0 degrees N and 96.7 degrees W, they would see Orion slightly to the south of the zenith on meridian.
What is an Orion?Orion is a constellation that can be seen from northern and southern hemispheres, and it passes near celestial equator. At around midnight in late December, Orion is visible in southern sky, slightly to the south of zenith.
To find the position of Orion in the sky, we need to know the observer's location and the current time. At the equator (0 degrees latitude), the celestial equator (an imaginary line in the sky directly above the Earth's equator) passes directly overhead. Therefore, if the observer is looking straight up (at the zenith), they would be looking at the celestial equator.
If the observer were to look up at a different time of year, or from a different location, the position of Orion in the sky would be different.
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17) If the pendulum string has a length of 7 meters, what is the period?
a.
4.4 seconds
c. 6.28 seconds
b. 5.26 seconds
d. 0.84 seconds
The period of a pendulum is found to be 5.26 seconds if the pendulum string has a length of 7 meters.
What is a Pendulum?A pendulum may be characterized as a body suspended from a fixed point so that it can swing back and forth under the influence of gravity. The time interval of a pendulum's complete back-and-forth movement is constant.
According to the question,
The length of a pendulum string = 7 m.
The period of a pendulum string = ?
The length of a pendulum string is found with the help of the following formula:
L = (T/ 2π)² × g7 = (T/2 × 3.14)² × 9.8
7 = [tex]\frac{T^2}{4}[/tex] × 9.85 × 9.8.
28 = [tex]T^2[/tex] × 96.53 = 0.526 = 5.26 seconds.
Therefore, the period of a pendulum is found to be 5.26 seconds if the pendulum string has a length of 7 meters.
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a simple circuit contains a battery connected with wires to a small bulb that has a resistance of 150 ohms. if the power dissipated by the bulb is 0.4 w, what is the voltage of the battery?
According to the question the voltage of the battery is 400 volts.
What is voltage?Voltage is an electrical potential difference between two points in a circuit, measured in volts. It is the energy that powers electric current and is the result of the flow of electrons through a circuit. Voltage is also referred to as electromotive force (EMF) or electric tension.
The voltage of the battery can be calculated using Ohm's Law, which states that voltage (V) is equal to current (I) multiplied by resistance (R). We can rearrange this equation to solve for voltage: V = I × R.
In this circuit, we know the resistance (R) of the bulb is 150 ohms, and the power dissipated by the bulb (P) is 0.4 watts. We can calculate the current (I) by rearranging the equation for power, which states that power (P) is equal to current (I) multiplied by voltage (V): P = I × V. Rearranging this equation to solve for current: I = P/V.
We can plug in the values for power and resistance to calculate the current: I = 0.4 W/150 ohms = 2.67 A.
Finally, we can plug the current (I) and resistance (R) into our equation for voltage: V = I × R = 2.67 A × 150 ohms = 400 V. Therefore, the voltage of the battery is 400 volts.
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A. 36,000 Joules
B. 73,000 Joules
C. 146,000 Joules
D. 292,000 Joules
Option B is correct.
Kinetic energy is the energy that a body possesses as a result of its movement. Potential energy is the energy that a body possesses as a result of its location or state.
While an object's kinetic energy is relevant to the state of other items in its environment, potential energy is fully independent of its surroundings. As a result, the acceleration of an item is not visible in the movement of a single object when other objects in the same environment are also moving.
Here potential energy is being used so work done will be mgh
Where,
M = mass
G = acceleration due to gravity
H = height
Since there is no change in kinetic energy,
So,
W1/W2 = mgh1/mgh2
Now, here mass and acceleration due to gravity are the same
Therefore,
W1/W2 = h1/h2
W2 = 0.5 × 146000J = 73000J
Therefore, the work done to lift the block halfway to the top is 73,000 joules.
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convert86400secs into day
Answer:
86400 seconds is equal to 1 day.
Explanation:
