The output power of the generator is 3.6 kW.With an input power of 5 kW and efficiencies of 90% for the motor and 80% for the generator, the output power of the generator is determined to be 3.6 kW.
The efficiency of a device is defined as the ratio of its useful output power to its input power. In this case, the motor has an efficiency of 90% (0.9) and the generator has an efficiency of 80% (0.8).
Given that the input power to the motor is 5 kW, we can calculate the output power of the generator by considering the efficiency of both devices.
Output power of motor = Input power to motor = 5 kW
The output power of the motor is the input power to the generator. We can calculate the output power of the generator using the formula:
Output power of generator = Output power of motor × Efficiency of generator
Output power of generator = 5 kW × 0.8
Output power of generator = 4 kW × 0.8
Output power of generator = 3.6 kW
Therefore, the output power of the generator is 3.6 kW.
With an input power of 5 kW and efficiencies of 90% for the motor and 80% for the generator, the output power of the generator is determined to be 3.6 kW. This calculation demonstrates the concept of efficiency in power conversion systems and highlights the importance of maximizing efficiency for optimal energy utilization.
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Calculate the time for a tiger to run 14.00 m when it maintains a constant velocity of 37.50 m/s to the north.
Answer:
.37 of a second
Explanation:
because the tiger only traveled 14 meters/of the 37.5 it can travel in just 1 second. so you treat it like a divisitory fraction. 14/37.50. you divide the 14 by 37.5 to find what fraction of the second it took to travel only 14 m. you can also use the same formula for distances that would require more than the 1 second to travel.
A pendulum is moving 2.0 m/s at the bottom of its swing. How high vertically will it go before it begins to swing back? Group of answer choices 0.4 m 0.1 m 0.2 m 0.8 m 1.0 m
Answer:
h = 0.2 m
Explanation:
Given that,
A pendulum is moving 2.0 m/s at the bottom of its swing.
We need to find the height high it swing back. Let the height is h.
Using the conservation of energy such that,
\(\dfrac{1}{2}mv^2=mgh\\\\h=\dfrac{v^2}{2g}\)
Put all the values,
\(h=\dfrac{(2)^2}{2\times 10}\\\\h=0.2\ m\)
So, it will reach to a height of 0.2 m.
A tugboat pulls a small barge through a harbor. The propeller thrust minus the drag produces a net thrust that varies linearly with speed.
knowing that the combined weight of the tug and barge is 3600 kn, determine; (a) the time required to increase the speed from an initial value v1 = 1. 0 m/s to a final value v2 = 2. 5 m/s and (b) the distance traveled during this time interval
The time required to increase the speed from \(v_1\) to \(v_2\) is 0.000153 s. The distance traveled during this time interval is 0.0001146 m.
Solution:
Given:
Weight = 3600 kn
Initial speed (\(v_1\)) = 1.0 m/s
Final speed (\(v_2\)) = 2.5 m/s
(a) To find the time required to increase the speed from \(v_1\) to \(v_2\), we can use the equation of motion:
\(v_2 = v_1 + at\)
Where \(v_1\) is the initial velocity, \(v_2\) is the final velocity, a is the acceleration, and t is the time.
Rearranging the equation to solve for t, we get:
\(t = (v_2 - v_1) / a\)
We need to find the acceleration to calculate the time. We can use the equation of motion:
F = ma
Where F is the force, m is the mass, and a is the acceleration.
Since the net thrust varies linearly with speed, we can assume that the force is constant. Therefore, the acceleration is also constant.
F = 3600 kn = 3600 * 1000 N = 3600000 N
m = 3600 / 9.8 = 367.35 kg
\(a = F / m = 3600000 / 367.35 = 9800 m/s^2\)
Now, we can plug in the values of \(v_1\), \(v_2\), and a into the equation for t:
t = (2.5 - 1.0) / 9800 = 0.000153 s
(b) To find the distance traveled during this time interval, we can use the equation of motion:
\(s = v_1t + (1/2)at^2\)
Where s is the distance, \(v_1\) is the initial velocity, t is the time, and a is the acceleration.
Plugging in the values of \(v_1\), t, and a into the equation, we get:
s = \((1.0)(0.000153) + (1/2)(9800)(0.000153)^2\)
s = 0.0001146 m
Therefore, the distance traveled during this time interval is 0.0001146 m.
Answer:
(a) The time required to increase the speed from \(v_1\)to \(v_2\) is 0.000153 s.
(b) The distance traveled during this time interval is 0.0001146 m.
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What happens when the light rays pass through a medium?
The light rays pass through the medium with little or no attenuation, and the speed of the light may be slowed down or refracted, depending on the refractive index of the medium.
Secondly, light rays can be absorbed by the medium, which means that the energy of the light is transferred to the atoms or molecules of the medium. This can cause the medium to heat up or emit light of a different frequency.
Thirdly, light rays can be reflected by the medium. When light rays hit a smooth surface, such as a mirror or water, they bounce back at the same angle as the incoming light, obeying the law of reflection.
Lastly, light rays can be scattered by the medium. This occurs when the medium is not completely uniform or contains small particles. Scattering causes the light rays to be redirected in many different directions, which can result in the light appearing diffused or hazy.
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Which of the following conditions must be met for an object to be in equilibrium. (may be more than one answer) Sum of forces in x-direction is zero Sum of forces = zero Sum of torques is zero Speed is zero Object must not be spinning
For an object to be in equilibrium, the sum of all the forces acting on it must be zero (sum of forces = zero) and the sum of all the torques applied to it must also be zero (sum of torques is zero). Additionally, the object must not be spinning and its speed must be zero (speed is zero).
What is equilibrium?Equilibrium is a state in which opposing forces or influences are balanced. It can refer to a physical, chemical, or biological system in which there is no net change in the position or direction of motion of its components. In economics, it is a situation in which all participants in the market have no incentive to change their behavior. Equilibrium is a necessary condition for markets to function efficiently. It is a key concept in many areas of economics, including microeconomics, macroeconomics, and international economics.
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Can a vector with zero magnitude have one or more components that are zero? Explain.
Yes, a vector with zero magnitude can have one or more components that are zero. This is because a vector's magnitude is determined by the length of its components, which can be zero even if the magnitude of the vector is zero.
What is magnitude?Magnitude is a measure of the size, intensity, or strength of something. It is most commonly used to describe the size of an earthquake, magnitude being a measure of its energy release. It can also refer to the size of an astronomical object, such as a star or planet, or the strength of a magnetic field. Magnitude is expressed using a logarithmic scale, with each increase in magnitude representing a ten-fold increase in the strength or size of an object. For example, an earthquake of magnitude 5.0 is ten times as powerful as one of magnitude 4.0. Magnitude is an important concept in physics, astronomy, and other sciences.
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if two charges are initially 3 cm apart and they are moved to 9 cm apart, by what factor does the resulting electric force between them change?
The resulting electric force between the charges changes by a factor of 1/9 when the distance between them is increased from 3 cm to 9 cm.
The electric force between two charges is given by Coulomb's Law, which states that:
F = k * q1 * q2 / r^2
where F is the electric force, k is the Coulomb constant, q1 and q2 are the charges of the two objects, and r is the distance between them.
If the charges are initially 3 cm apart and they are moved to 9 cm apart, then the ratio of the distances is:
r2 / r1 = 9 cm / 3 cm = 3
where r1 is the initial distance and r2 is the final distance.
To determine the change in the electric force between the charges, we can calculate the ratio of the final force to the initial force:
F2 / F1 = (k * q1 * q2 / r2^2) / (k * q1 * q2 / r1^2)
Simplifying this expression, we get:
F2 / F1 = r1^2 / r2^2
Substituting the given values, we get:
F2 / F1 = (3 cm)^2 / (9 cm)^2
F2 / F1 = 1/9
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What do you suspect might happen to the average force you exert on the egg while catching it when ∆t is small?
When the time interval (∆t) is small while catching an egg, it is likely that the average force exerted on the egg will increase. This is because, as the time interval decreases, the velocity of the egg also decreases, and a larger force is required to bring the egg to a stop.
Additionally, a shorter time interval means that the force must be applied over a shorter period, leading to a higher force being exerted.
However, it is important to note that the increase in force will be limited by the physical capabilities of the catcher.
For example, if the catcher is unable to exert a force greater than a certain amount, then the force on the egg will not increase beyond that limit.
Moreover, it is also possible that the catcher may alter their technique when catching an egg with a smaller time interval, in order to reduce the force exerted on the egg.
For instance, they may choose to cushion the egg's impact with their hands or body, rather than trying to stop it completely.
In conclusion, while it is likely that the average force exerted on the egg will increase when the time interval (∆t) is small, the increase in force will depend on the physical capabilities of the catcher and its technique.
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Why do we use the hydrogen spectrum to identify if a star is red or blue
shifted? *
Answer:
But if you place a clear container filled with hydrogen gas between the flashlight and the prism, gaps appear in the smooth rainbow of colors, places where the light literally goes missing. The dark absorption lines of a star at rest (left) get shifted towards red if the star is moving away from Earth (right)
Explanation:
when a star settles down to a stable existence as a main-sequence star, what characteristics determines where on the main sequence in an h-r diagram the star will fall?
A star's mass determines where it lies along the main sequence. On the main sequence, high-mass stars are hotter and emit more energy than low-mass stars.
Explain about the Mass?A metric called mass is employed in physics to express inertia, a basic property of all matter. What it essentially is is the resistance of a mass of matter to changing its direction or speed in response to the application of a force. The more mass a body has, the less of a change an applied force makes.
Mass is a unit used to describe how much matter is present in an object. Usually, the unit of mass is either kilogrammes (kg) or grammes (g) (kg). Mass is a measure of how much matter there is, regardless of where it is in the cosmos or how much gravitational force is being applied to it.
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Which option correctly shows the concentration of H3O+ ions in pure water?(1 point)
1.0 × 10-7 mol/L
1.0 x 10-14 mol/L
7 mol/L
14 mol/L
Answer:
1.0 x 10^-7 mol/L
Explanation:
Which term is defined by the force that moving, charged particles exert on one another?.
Electromagnetic force is the force that moving, charged particles exert on one another.
What is Electromagnetic force?The electromagnetic force acting between the electrically charged atomic nuclei and electrons of the atoms can explain all the forces involved in interactions between atoms.Additionally, electromagnetic forces account for how these particles move with momentum. This includes the forces we feel when "pushing" or "pulling" commonplace material items, which are caused by the intermolecular forces acting between the molecules in the objects and the individual molecules in our bodies.All types of chemical phenomena involve electromagnetic force. The study of the electromagnetic force, a sort of physical interaction that takes place between electrically charged particles, is at the heart of the area of physics known as electromagnetism.Electric fields and magnetic fields combine to form electromagnetic fields, which carry electromagnetic force.To learn more about Electromagnetic force with the given link
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a toy cork gun contains a spring whose spring constant is 18n/m. the spring is compressed 7.47 cm and then used to propel a 9 cork. the cork, leaves the spring from the spring's relaxed length. with what speed, in m/s, does the cork leave the spring?
The cork leaves the spring at a speed of 3.02 m/s.
We can use the conservation of energy to determine the speed at which the cork leaves the spring.
The initial potential energy stored in the spring is converted to the kinetic energy of the cork as it leaves the spring. Neglecting air resistance, the conservation of energy equation is:
(1/2) k x^2 = (1/2) m v^2
where k is the spring constant, x is the distance the spring is compressed, m is the mass of the cork, and v is the speed of the cork as it leaves the spring.
Substituting the given values:
(1/2) * 18 N/m * (7.47 cm / 100 cm/m)^2 = (1/2) * 0.009 kg * v^2
Solving for v:
v^2 = (18 N/m * (7.47 cm / 100 cm/m)^2) / 0.009 kg
v^2 = 9.119 m^2/s^2
Taking the square root of both sides:
v = 3.02 m/s
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One end of a massless, ideal spring is mounted on the left side of a horizontal air-track. The unattached end of the spring is pulled 0.350 meters 0.350 meters from its equilibrium position ( x = 0.0 m ) toward the right (the positive direction). The force required to hold the spring at this position is 2.50 N 2.50 N . A glider with a mass of 0.150 kg 0.150 kg is attached to the extended spring and released from rest. Ignoring friction and air resistance, which of the following most closely approximates the instantaneous velocity of the glider when it is at x = − 0.100 m A) 0.866 m/s B) 2.31 m/s C) 2.87 m/s D) 3.88 m/s
To solve this problem, we need to use conservation of energy. The spring has elastic potential energy due to being stretched, which will be transferred into kinetic energy as the glider moves.
At the release point, all of the potential energy will be converted into kinetic energy, so we can use the equation \(KE = 0.5mv^2 to solve for v.\)
We can also use the force required to hold the spring at 0.350 m to calculate the spring constant, k, using Hooke's Law (F = -kx).
Once we have k, we can calculate the maximum displacement of the glider (x = -0.100 m)
Use conservation of energy to solve for v. The correct answer is C) 2.87 m/s.
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Does anyone understand This question if you do can you tell me the answer
Answer:
50N increasing
Explanation:
it looks like we want the net force. this is the sum of all forces acting on the object. here the problem is extremely simplified and we are even given the values of force. this looks like the rocket is producing an upward force of 160 newtons. it also looks like maybe weight (gravity) and drag (air resistance) are producing downward force against the rocket. we can say those would be subtracting from the amount of upwards force. so 160-40-70=50N. since the force is positive that means we will still have a magnitude of force vector that points upward and so we will increase.
You hold a shiny tablespoon at arm's length and look at the front side of the spoon.
(a) Is the image you see of yourself upright or inverted?
upright / inverted
(b) Is the image enlarged or reduced?
enlarged / reduced
(c) Is the image real or virtual?
real / virtual
(A) The image you see of yourself in the shiny tablespoon is inverted.
(B) The image you see of yourself in the shiny tablespoon is reduced.
(C) The image you see of yourself in the shiny tablespoon is virtual.
A) When you look at the front side of the spoon, the light rays reflecting off your face or any other object get reflected by the curved surface of the spoon. This reflection follows the laws of reflection, resulting in an inverted image. Therefore, the image you see of yourself in the spoon is inverted.
B) In this case, the shiny tablespoon acts as a concave mirror. Concave mirrors can produce reduced images depending on the position of the object relative to the mirror's focal point. When the object is held at arm's length, the image formed in the spoon is smaller in size compared to the actual object. Hence, the image you see of yourself in the spoon is reduced.
C) A virtual image is formed when the light rays do not physically converge at the location of the image. In the case of a spoon, the reflected rays from the curved surface do not intersect to form a real image that can be projected onto a screen. Instead, your eyes perceive the apparent image formed by the reflected rays, which is known as a virtual image. Therefore, the image you see of yourself in the spoon is virtual.
Option (A) inverted, (B) reduced, and (C) virtual are the correct answers.
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A 50.0 kg gorilla is sitting on the limb of a tree 4.00 meters above the ground. The gorilla jumps down from the tree limb to the ground. Use the conservation of energy to find the velocity of the gorilla just before hitting the ground.
*Help Quickly*
The velocity of the gorilla of mass 50 kg, sitting 4 meters above the ground just before hitting the ground is 8.85 m/s.
What is velocity?Velocity is the rate of change of displacement.
To calculate the velocity of the gorilla, we use the formula below
Formula:
v² = 2gh..................... Equation 1Where:
v = Velocity of the gorilla just before hitting the groundh = Height of the gorillag = Acceleration due to gravityFrom the question,
Given:
h = 4 mg = 9.8 m/s²Substitute these values into equation 1 and solve for v
v² = 2×9.8×4v² = 78.4v = √78.4v = 8.85 m/sLearn more about velocity here: https://brainly.com/question/29110645
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Which beach balls have potential energy and not kinetic energy?
Answer:
Beach ball 4
Explanation:
it is because, Potential Energy = M G H
P(e) directly proportional to H.
if H increase then P energy also increases
A jet plane acceleration along a straight run way from rest to a speed of 140 m/s in 50 seconds when it took off. Calculate:
1- it’s change of velocity
2- it’s acceleration
Please help me it’s emergency
Answer:
Vf=140 m/s
Vi=0
t=50s
Explanation:
1. Acceleration is called change of velocity.
2. a=Vf-Vi/t
a=140-0/50
a=140/50
a=2.8m/s^2
the diagram below represents the orbits of earth, comet temple-tuttle, and planet x, another planet in out solar system. arrows on each orbit represent the direction of movement. which objects orbit would have and eccentricity close to 1?
Answer:
the most elliptical orbit is that of COMETA
Explanation:
The eccentricity of a curve in defined as the ratio between lacia to the focus, called c and the value of the axis greater than
ε = c / a
if we use Pythagoras' theorem
c = \(\sqrt{a^2 - b^2}\)
substituting
ε = \(\sqrt{1 - (b/a)^2 }\)
if ε = 0 we have a circumference
In the diagram presented the orbit of the comet is an ellipse a> b
ε=\(\sqrt{1- x} \\ x = (\frac{b}{a} )^2\)
if we expand in series
ε = 1 - x/2
ε= \(1 - \frac{1}{2} \ (\frac{ b}{a} )^2\)
if we neglect the non-linear terms
ε = 1
Earth's orbit is a small ellipse
b / a = 149 10⁶ / 151 10⁶
b / a = 0.98675
ε = \(\sqrt{1- 0.98675^2}\)
ε = 0.16
a very small ellipse
Planet X, despite not having data, it seems that the sun is in the scepter of the orbit, so b = a
therefore both the semi-axes of the curve
e = a / b
Consequently, the most elliptical orbit is that of COMETA.
what is the pebble's acceleration? express your answer with the appropriate units. activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type 51.57 m s2 submitprevious answersrequest answer incorrect; try again; 3 attempts remaining
The term acceleration refers to a motion wherein an object travels in a straight line with an increase in velocity at equal intervals of time.
How to calculate acceleration ?Diameter = 0.66m
r= 0.33m
Pebble speed = 2[3.14]/T *r
=6.217 m/sec
acceleration = w*w*r
=117.13m/sec
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1. Si tengo medio kilo de fruta y te doy un cuarto y tú me das tres cuartos de kilo, ¿cuánto tengo? 2. Si en una carrera te queda por recorrer la mitad de la mitad de 1 km, ¿cuánto te falta? 3. ¿Qué pesa mas, un kilo y medio de hierro o tres medios kilos de paja? porfavor es urgente.
Answer:
1. Tienes 1 kg de fruta.
2. Queda por recorrer 1/4 km.
3. Ambos pesan lo mismo.
Explanation:
1. Tienes 1/2 kg y cuando te doy 1/4 te queda:
\( m = \frac{1}{2} - \frac{1}{4} = \frac{1}{4} \)
Ahora cuando te doy 3/4 kg te queda en total:
\( m_{T} = \frac{1}{4} + \frac{3}{4} = 1 kg \)
Por lo tanto, tienes 1 kg de fruta al final.
2. Si falta por recorrer la mitad de la mitad, tenemos:
\( d = \frac{1/2}{2} = \frac{1}{4} \)
Entonces, queda por recorrer 1/4 km.
3. El peso (P) del hierro es:
\( P = m*g \)
\( P = (1 + 1/2)kg*9.81 m/s^{2} = 14.72 N \)
Y el peso de la paja es:
\( P = 3/2 kg*9.81 m/s^{2} = 14.72 N \)
Por lo tanto, ambos pesan lo mismo.
Espero que te sea de utilidad!
2. Think about an activity you may have learned that involves muscle memory. Consider when you first learned the activity, how easy or difficult it was the first time, and if you can do it now without thinking. What happened in your brain during practices that resulted in muscle memory for you?
Answer:
Muscle memory is found in many everyday activities that become automatic and improve with practice, such as riding bicycles, driving motor vehicles, playing ball sports, typing on keyboards, entering PINs, playing musical instruments, poker, martial arts, and dancing.
Explanation:
The graphic organizer compares energy transfer in two layers of the Sun. A venn diagram of 2 intersecting circles with the left circle labeled convection zone and the right circle labeled radiative zone. There is an X in the convection zone circle. There is a Y in the radiative zone. Which labels belong in the regions marked X and Y? X: Absorbs energy from the core Y: Takes longer for photons to move through X: Releases energy to the photosphere Y: Takes longer for photons to move through X: Takes longer for photons to move through Y: Absorbs energy from the core X: Takes longer for photons to move through Y: Releases energy to the photosphere
Answer:
X: Absorbs energy from the core.
Y: Releases energy to the photosphere.
Explanation:
Convection is a mode of heat transfer through fluids (liquids or gas), and it requires material medium for its propagation.
The energy absorbed from the core of the Sun, is transferred through X (convection zone) by convectional process, and it flows to Y (radiative zone). Since the regions X and Y have different functions, the heat propagates from X causing photons to traverse through Y where it get released into the photosphere or the Sun's surface.
Therefore;
X: Absorbs energy from the core.
Y: Releases energy to the photosphere.
Answer:
X: Takes longer for photons to move through
Y: Releases energy to the photosphere
Explanation:
Alfredo leaves camp and, using a compass, walks 4 km E, then 6 km S, 3 km E, 5 km N, 10 km W, 8 km N, and, finally, 3 km S. At the end of two days, he is planning his trip back. To get back to camp, Alfredo should travel a distance of ----------?
km in a direction
---------------? ° south of east.
Answer: 3km E, 1km N
Explanation:
4E + 6S + 3E + 5N + 10W + 8N + 3S= 3W, 1S
3W, 1S= 3E, 1N
Calculate the first and second velocities of the car with four washers attached to the pulley, using the formulas
v1 = 0.25 m / t1 , and v2 = 0.25 m / (t2 – t1)
where t1 and t2 are the average times the car took to reach the 0.25 and the 0.50 meter marks. Record these velocities, to two decimal places, in Table E
The first and second velocities of the car, with four washers attached to the pulley, are both 0.125 m/s.
We must apply the following calculations to determine the car's first and second velocities with the four washers attached to the pulley:
v1 = 0.25 m / t1
v2 = 0.25 m / (t2 - t1)
Here, t1 denotes the typical time needed for the car to go 0.25 metres, and t2 is the typical time needed to travel 0.50 metres.Let's say that t1 and t2 are the typical times, each lasting two seconds on average.The first formula allows us to determine v1:
v1 = 0.25 m / 2 s = 0.125 m/s
Using the second formula, we can calculate v2:
v2 = 0.25 m / (4 s - 2 s) = 0.125 m/s
Table E can be used to record these values as the velocities at the relevant distances.
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f the crate starts from rest 8.95 mm up along the plane from its base, what will be the crate's speed when it reaches the bottom of the incline
Answer:
Its speed would be increasing.
Explanation:
describe how abaro meter works and show that at 1atm the height of acolumn of mercury would equal 760mm
One atmosphere, or 1 atm, is the term used to describe this air pressure. For instance, the air pressure above Mount Everest is just about one-third of the atmospheric pressure at sea level.
What is the pressure equation?
Examples, Formula, Unit, and Definition The physical force applied to an object is referred to as pressure. Per unit area, a perpendicular force is delivered to the face of the objects. F/A is the fundamental formula for force. Pascals are a unit of pressure (Pa). Absolute, barometric, differential, and gauge pressures are different types of pressure.
What is the physics term for pressure?
Some of them result from dividing a unit of force by the a unit of area; one pound-force per single centimeter (psi), the conventional unit of force in the metric and US conventional systems, is equivalent to one newton per sq meter.
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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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please help me out with this.
To find the current in the resistor, we can use Ohm's Law and the concept of equivalent resistance. Thus, option A is correct.
First, let's calculate the equivalent resistance of the three cells connected in parallel. When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances:
1/Req = 1/R1 + 1/R2 + 1/R3
Given that R1 = R2 = R3 = 22 Ω (internal resistance of each cell), we can substitute the values:
1/Req = 1/22 + 1/22 + 1/22
1/Req = 3/22
Taking the reciprocal of both sides, we find:
Req = 22/3 Ω
Now we can use Ohm's Law to calculate the current (I) in the resistor. Ohm's Law states that the current flowing through a resistor is equal to the voltage across it divided by its resistance:
I = V/R
Given that V = 1.1 V (emf of each cell) and R = 32 Ω (resistance), we can substitute the values:
I = 1.1/32
Calculating this value, we find:
I ≈ 0.034375 A
Therefore, the current in the resistor is approximately 0.034375 A.
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