The maximum height the rocket will reach is 298.584m if its initial velocity is 76.5m/sec and it flies upwards.
We know that at highest point final velocity of the rocket will be 0m/sec.Now,we have initial velocity of rocket,final velocity of rocket,acceleration due to gravity.
We are taking upward direction as positive and downward direction as negative, due to that value of acceleration due to gravity is -9.8m/sec²
So,we can use third equation of motion which is given by
v² - u² =2aS
where v is the final velocity of rocket,
u is initial velocity of rocket
a is acceleration of the rocket
and S is the distance travelled by the rocket
We have v=0m/sec,u=76.6m/sec,a=9.8m/sec²,S=?
So,on putting the values,we get
=>(0)² - (76.5)² = 2 × (-9.8) × S
=>S=(76.5)² / 19.6
=>S=5852.25/19.6
=>S=298.584m
Hence, maximum height attained by rocket is 298.584m.
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a cave rescue team lifts an injured spelunker directly upward and out of a sinkhole by means of a motor-driven cable. the lift 1s performed in three stages, each requiring a vertical distance of 10.0 m: (a) the initially stationary spe- lunker is accelerated to a speed of 5.00 m/s; (b) he is then lifted at the constant speed of 5.00 m/s; (c) finally he is decel- erated to zero speed. how much work is done on the 80.0 kg rescuee by the force lifting him during each stage
Answer:
Below
Explanation:
Work = force x distance ==> the forces during the 3 stages are different
a) I will assume accel is constant for the first 10 m
Average velocity = 5/2 = 2.5 m/s
10 m / 2.5 m/s = 4 seconds
then a = 5 m/s / 4 s = 1.25 m/s^2 <==this accel is added to 'g'
F = ma
= 80 * (9.81 + 1.25) = 884.8 N
W = 884.8 * 10 = 8848 J
b) This one is easier W = F * d = (80)(9.81)(10) = 7848 J
c) Now we decelerate at 1.25 m/s^2 <==== this SUBTRACTS from g
W = ( 80 )(9.81-1.25)*10 = 6848 J
Answer:
C
Explanation:
Positive acceleration describes an increase in speed; negative acceleration describes a decrease in speed. C
What is the strength of magnetic field known as MCQ?
The term "magnetic flux density" refers to the strength of the magnetic field. The Greek letter Phi or the Phi suffix B are frequently used to represent magnetic flux.
What is magnetic flux density? The quantity of magnetic field lines that travel through a specific closed surface is known as the magnetic flux. It offers a way to measure the total magnetic field that traverses a specific surface area. In this case, the area under examination can be of any size and oriented in any way relative to the magnetic field's direction.A flux meter is typically used to measure magnetic flux. The magnetic flux unit in SI and CGS is listed below:Weber is the magnetic flux SI unit (Wb).Volt-seconds are the base unit of measurement.Maxwell is the CGS component.For more information on magnetic flux density kindly visit to
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Which of the following definitions best describes the concept of work?(a) the flow of energy from one object or substance to another due to a difference in temperature.(b) the flow of energy from one body to another through uniform molecular motion.(c) the force associated with molecular motion.(d) the random motion of molecules in a gas at low pressure.
an annulus with inner radius and outer radius lies in the plane. there is a constant electric field with magnitude , that makes an angle with the horizontal. what is the electric flux through the annulus?
To calculate the electric flux across a location, multiply the electric field by the surface area projected in a plane perpendicular to the field. On any closed surface, the universal law known as Gauss's Law is applied.
What is the sphere's electric flow like?In the case of a sphere-shaped Gaussian surface with radius r > R, the electric field is directed outward and has the same strength at every point along the surface. Simply multiplying the electric field by the spherical surface's area yields the electric flux.
What is the electrical flux formula?Electric flux (E) traveling through a surface of vector area S equals: E = ES = EScos if the electric field is uniform is the angle between the electric field lines and the normal (perpendicular to S), S is the area of the surface, and V/m is the magnitude of the electric field.
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A box decelerates as it moves to the right along a horizontal surface as shown in the
diagram.
Which vector best represents the direction of the force of friction on the box?
The direction of the vector of motion on the right then the direction of the force of friction on the box will be toward the left. Therefore, option D is correct.
What is frictional force?Frictional force can be defined as the force generated by two surfaces coming in contact and sliding against each other. These forces are affected by the position of the object, surface texture, and angle.
Friction can be explained as the force that prevents the movement of the moving object when the surface of one object comes in contact with another.
The fractional force acting on an object can be represented as:
F = μmg
In the given diagram the box is moving in the right direction, Then the force of friction will act in the opposite direction. Therefore the vector in the left direction represents the direction of the force of friction on the box.
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how can observations of nonscienists, like fisherman be of value to scientists
The way that observations of nonscientists, like fisherman be of value to scientists is that:
By taking part in data-less stock assessment procedures, which attempt to estimate the spawning potential of a specific fishing population by only determining the size at maturity for a certain species, fishermen can contribute to the science of fisheries.What is observation and why is it important to scientists?In science, observation is vital. Scientists gather and record data through observation, which allows them to create and subsequently test ideas and hypotheses. Scientists can observe in many different ways, using their own senses or instruments to increase their vision or hearing.
Science actually takes cultural values into account. In turn, values can be objective if they are founded on widely acknowledged concepts. In contrast, scientists prioritize verifiability, testability, accuracy, precision, generality, and simplicity.
Therefore, In terms of receiving financing and being able to communicate their work to their peers in a way that is clear and understandable, being able to discuss their findings with both scientists and nonscientists is essential for their own professional advancement.
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a cancave shaving mirror has a focal length of 33 cm. calculate the image position of a cologne bottle placed infront of a mirror at distance of 93 cm. calculate the magnification of the image. is it virtual or real? is it inverted of upright?
HELPPP!
someone explain please
The position of the image of a cologne bottle is equal to 52cm. The magnification of the image is equal to 0.55 and the virtual image.
What is the mirror formula?The reflecting part of the concave mirror is that which caves inwards and the reflecting part of a convex mirror is one which caves outwards.
[tex]\displaystyle \frac{1}{f}=\frac{1}{u}+\frac{1}{v}[/tex]
Where f is the focal length, u is the object distance and v is the image distance
Given, the focal length of the concave mirror, f = 33.0cm
The distance of the bottle, u = 93 cm
[tex]\displaystyle \frac{1}{33}=\frac{1}{93}+\frac{1}{v}[/tex]
1/v = 0.030- 0.0107
1/v = 0.0192
v = 52 cm
The magnification of the image, m = v/u = 52/93 = 0.55.
The image will be virtual.
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if a boat and its riders have a mass of 1200 kg and the boat drifts in at 1.7 m/s how much work does sam do to stop it?
The work done to stop the boat from the movement is 1020 J
The mass of the boat = 1200 kg
The initial velocity of the boat = 1.7 m/s
The final velocity of the boat = 0 m/s
The work done to stop the boat is the change in kinetic energy of the boat from movement to rest. It can be done by using the formula,
W = ΔKE = 1/2mu² - 1/2mv²
where m is the mass of the boat
u is the initial velocity of the boat
v is the final velocity of the boat.
Let us substitute the known values in the above equation, we get
W = 1/2 (1200)(1.7) - 1/2(1200)(0)
= 1/2 x 1200 x 1.7
= 600 x 1.7
= 1020 J
Therefore, the work done is 1020 J
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strut ab of the 1-m-diameter hatch door exerts a force of 450 n on point b. (figure 1)
The questions is incomplete I answered it in general way
The resulting moment of force is 45 nm.
Calculation:
F = 450 N
x = 1 m
Moment of force = F ×x
Moment of force = 450 ×0.10nm
Moment of force = 45.0nm
An object experiences pushes or pulls as a result of its interaction with another object. There is a force operating on each object whenever there is an interaction between two items. There is no force acting on the two objects when the interaction ends.
There are four basic factors at work. Strong nuclear force, electromagnetic force, and gravitational force. The enormous nuclear force is the most potent of these four forces. This leads us to the conclusion that an object moves more quickly whenever the force acting on it is in the same direction as its motion.
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State the law of gravity, and explain how this paper airplane investigation
proved Newton's law of gravity.
Based on Newton's law of gravity, the force of attraction on the airplane moving on Earth is directly proportional to the mass of the airplane and inversely proportional to the square of distance the airplane from Earth's surface.
What is Newton's law of universal gravitation?
Newton's law of universal gravitation states that the force of attraction between two objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.
Mathematically, this law is written as follows;
Fg = ( G m₁ m₂ ) / ( r² )
where;
G is the universal gravitation constantm₁ is the mass of the first objectm₂ is the mass of the second objectr is the distance between the two objectsFrom Newton's second law of law of motion we will have;
F = mg
mg = ( G m₁ m₂ ) / ( r² )
g = Gm / r²
Every object on Earth surface moves with equal acceleration due to gravity which has a value of 9.8 m/s².
Thus, airplane flying on Earth surface will be affected by gravity and the weight or downward force on the airplane is a function of gravity.
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Calculate the time to fatigue and record in Lab Data Time: Force(kg): Number of Active motor Units: 0s 48 4 15s 43 3 30s 38 3 45s 30 2 60s 24 2 70s 19 1
The time to fatigue calculated from the given record in Lab data is preferably 60 seconds.
Time to fatigue is the time that is taken for muscle contraction to decrease by 50% of its maximum strength.
Force is the one that is measured by weight here. Here, as time progresses force is seen to come down.
When force is seen to come down, there is a decrease in the number of motor units that get employed as well.
Time to fatigue is the one where this force expressed as weight reaches half of the maximum.
Here, the maximum force expressed as kg is 48kg at 0 sec.
Half of 48kg is 24kg. This is the point where time to fatigue happens with a decreased number of motor units.
Here, we can see that at the 60th second , 50% decay which is 24 kg force happens with the help of only 2 motor units.
Hence, our time to fatigue here is preferably 60 seconds.
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(figure 1) is a snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.
Six values of the displacement of the string exist at x = 5.0 m at 1 s from t = 0 s to t = 6 s.
All the numbers existing between two specific integers are called as an interval. Out of these whichever umbers fall between these actual values are termed as range.
Intervals contain real numbers falling between two set numbers.
A snapshot graph at t = 0 s of two waves on a string coming towards one other at time interval of 1 m/s is provided. Then, the values of the string displacement at x = 5.0 m at 1 s from t = 0 s to t = 6 s are,
At t = 0
s,= Y₀= 0 cm
At t =1
s,= Y₁= 0 cm
At t = 2
s,= Y₂= 0 cm
At t =3
s,= Y₃= 0 cm
At t =4
= Y₄= 0 cm
At t = 5 s,
= Y₅=0 cm
At t = 6
s,= Y₆= 0 cm
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The complete question:
(Figure 1) is a snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.
1. List the values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s.
which prototype is the most cost-effective solution per month? fast flight higher flyers orbit or bust infinity
The solution is Orbit or Bust. Because it has the shortest build time and the lowest cost. To make a jet, aerospace engineers require a lightweight material.
Identifying a problem, researching the problem, generating various solutions, selecting the best answer, creating a model, testing the model, refining and retesting the model as needed, and communicating the final solution are all steps in the technological design process. Identifying a need, creating and implementing a solution, and assessing the solution are the four stages of technology design. It starts with a product design challenge and ends with SRS, and the starting point is the project purpose statement, thus all options are false.
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Two identical 1500k car moving perpendicular to each other. One moves with a speed of 25 m/s due north and the other moves at15 m/s due east. What is the total momentum of the system?
The total momentum of the system is 22500 kg-m/s i + 37500 kg-m/s j.
Momentum is given by the formula,
P = m * v
where, m is mass
v is velocity
Given that,
Mass of the first car m₁ = 1500 kg
Mass of the second car m₂ = 1500 kg
Velocity of the first car v₁ = 25 m/s
Velocity of the second car v₂ = 15 m/s
The momentum of the first car is p₁ = m₁ * v₁ = 1500 * 25 = 37500 kg-m/s j
The momentum of the second car is p₂ = m₂ * v₂ = 1500 * 15 = 22500 kg-m/s i
The total momentum of the system is sum of momentum of both the cars.
⇒ 22500 kg-m/s i + 37500 kg-m/s j
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What is a force that resists the sliding motion of two surfaces that are touching multiple choice question?
We can think of friction force is a force that resists the sliding motion of two surfaces that are touching one another. Kinetic friction is another name for this friction.
Kinetic friction force: what is it?As it increases to a certain degree before beginning to decline when greater power is applied to the object, this is actually best considered as the biggest benefit: The kinematic friction force is easy to calculate on a flat surface, but it is more difficult on an inclined surface.Why is friction significant and what is it?Friction is simply the force that prevents something from slipping. Every object experiences kinetic friction, which prevents many objects from moving at once. The force acting in the opposite direction when an object wants to slide in that direction The brakes are applied precisely where necessary when an automobile wants to stop.To know more about Kinetic friction visit: brainly.com/question/29100737
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does anyone knows the answer for this question
Answer:
ofc it is D because the distance is far and the plane is the fastest.
Explanation:
Answer:
The answer is A
Explanation:
Most postal company hany ships with large amounts of mail because it is the cheapest way to send mail.
when a dentist takes x-rays, they must be careful to correctly interpret the results. in one study, it was found that dental students and new dentists were much more likely than experienced dentists to think the x-ray below showed a fracture in the tooth (pointed by the black arrow). but there is not really a fracture present. what illusion makes the 'fracture line' look darker and more serious to the less experienced dentists than it really is?
In a case whereby a dentist takes x-rays, they must be careful to correctly interpret the results. in one study, it was found that dental students and new dentists were much more likely than experienced the illusion that makes the 'fracture line' look darker and more serious to the less experienced dentists than it really is Mach bands.
What is Mach bands?Mach bands can be described as the illusory dark as well as the bright bars seen at the foot and knee of a luminance trapezoid this wa explained by Ernst Mach in the latter part of the 19th century however the Mach bands can be regarded as the test bed not only for models of brightness illusions but of spatial vision in general.
Therefore, in the bcase above the illusion that makes the 'fracture line' look darker as wwell as serious to the less experienced dentists than it really is Mach bands.
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A certain capacitor has rectangular plates 56cm by 20cm and the gap width is .21mm. what is it's capacitance? A certain capacitor has rectangular plates 56 cm by 20 cm, and the gap width is 0.21 mm. What is its capacitance? We see that typical capacitances are very small when measured in farads. A one-farad capacitor is quite extraordinary! Apparently it has a very large area A (all wrapped up in a small package), and a very small gap s.
The capacitance of the capacitor is 47.22×10^-12F
What is capacitance of a capacitor?Capacitance is the ratio of the charge Q and the potential difference between the two plates. Also the capacitance can be expressed as:
C = εA/d, In this equation, C is capacitance; ε is permittivity, a term for how well dielectric material stores an electric field; A is the parallel plate area; and d is the distance between the two conductive plates. It is measured in Farad
A = 0.56×0.20 = 0.112cm²
d = 21mm = 0.021m
ε = 8.854×10^-12F/m
C = εA/d
C =( 8.854× 10^-12× 0.112)/0.021
C = 47.22 × 10^-12 F
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What is phase shift formula?
Answer:
Phase shift {F(x)} = Asin(Bx-C) + D.
Is the value of lambda constant?
Lambda is the symbol for wavelength it isn't a constant there for no standard value
it is linked to frequency:
frequency x Wavelength = speed of light (3x10^8)
What is lambda?
Lambda λ is a letter from the Greek alphabet.In physics, lambda λ is mainly used as a variable to denote or denote the wavelength of any wave.In nuclear physics and radioactivity, lambda is used to denote the decay constant of radioactivity.When it comes to electric fields, lambda is also used to denote the linear charge density of a uniform line of electric charge.To know more about lambda, click the link given below:
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Write a nuclear equation for the alpha decay of 236 94 pu
the nuclear formula for the 236 94 pu alpha decay.
236(top) 94(bottom) Pu ---> 4(top) 2(bottom) He + 232(top) 92(bottom) U
Nuclear processes such as "alpha decay," which releases a particle made up of two protons and two neutrons, allow unstable nuclei to transform into new elements. An alpha particle, which is just a helium nucleus, is an expelled particle that has this name. A positive charge and a sizable mass are two characteristics of alpha particles. Alpha particles can't penetrate very deeply into a material or go very far through the air due to their huge mass. Alpha decay is rarely employed in external medical radiation therapy since it only affects surfaces.
By examining how radiation is deflected by a magnetic field, Ernest Rutherford was able to distinguish alpha decay from other types of radiation in the beginning. You would anticipate a positive particle to deflect in the manner of alpha decay.
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How long will it take for a radioactive sample to decrease to 10% if its half-life is 22 years?
If the half-life of a radioactive sample is 22 years, it will take 73.11 years for the sample to decay to 10%.
How is half-life used to calculate radioactive decay?A fixed percentage of activity is lost during radioactive decay per unit of time. Half-life: The amount of time needed for a sample to degrade to 50% of its starting state. 1/2 = e –(λ*T1/2). constant over time and unique to each nuclide.
Do longer half-lives imply a lower radioactivity?The term (physical) half-life refers to the amount of time needed for radioactivity to decline and split in half. Half of the radioactivity will remain after a period of time equal to the half-life has passed, and a further half of the radioactivity will remain after a period of time twice as long as the half-life has passed.
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While spending the day relaxing on the beach, Keisha notices that the Sun appears to move across the sky. What is the best explanation for why this is happening?
a. Earth's revolution
b. the Sun's tilt on its axis
c. the Sun's revolution
d. Earth's rotation on its axis
While spending the day relaxing on the beach, Keisha notices that the Sun appears to move across the sky. The best explanation for this is the Earth's rotation on its axis.
So basically, the earth keeps on rotating about its axis constantly. The change from day to night is due to the phenomenon of Earth's rotation on its axis only. The sun remains fixed, but the earth rotates. So for a person on earth, it seems like the sun rises and moves across the sky and then sets, but in reality, it is the earth that rotates on its axis.
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verify green's theorem for the disc d with center (0, 0) and radius r and the following functions.
The question is incomplete I answered in general way .
Green's theorem in vector calculus connects a line integral centered on a straightforward closed curve C to a double integral over the plane region D enclosed by C. It is Stokes' theorem's two-dimensional particular instance.
Green's theorem has numerous uses. One involves solving two-dimensional flow integrals, which states that the total amount of fluid emitted from a volume is equal to the sum of the outputs from all surrounding areas. Green's theorem can be applied to plane geometry, and in particular, area surveying, to find the area and centroid of plane figures by simply integrating over the perimeter.
One of calculus's four fundamental theorems, all of which are closely related to one another, is green's theorem.
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help please !!! determine the voltage
The voltage of given circuit is 5 volts.
What is Ohm's law?Explanation of Ohm's Law, the relationship between current, voltage and resistance. The amount of continuous current flowing through many materials is directly proportional to the potential difference or voltage between them. Therefore, if the voltage V (in volts) across a wire made of one of these materials is tripled, the current I (in amperes) is also tripled. The quotient V/I remains constant. The quotient V/I for a particular piece of material is called the resistance R and is measured in units called ohms. The resistance of materials that obey Ohm's law does not change over vast voltage and current ranges. Ohm's law can be expressed mathematically as V/I = R.
Given,
I = 0.5 Amp
As all the four resistors are connected in series, total resistance of the circuit is:
R = 1 + 2 + 3 + 4
R = 10 Ω
Using Ohm's law:
V = IR
V = 0.5 × 10
V = 5 volts
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describe the evolution of an elliptical galaxy. how does the evolution of a spiral galaxy differ from that of an elliptical?
The evolution of an elliptical galaxy involves a gradual decrease in star formation and a steady increase in its size.
Over time, gas and dust are depleted, leaving behind an aging stellar population and a low level of star formation. As star formation declines, the galaxy's mass slowly increases, forming a larger and more elliptical shape.
The evolution of a spiral galaxy is different in that the spiral structure is maintained over time. Gas and dust are continually replenished, providing the necessary materials needed for ongoing star formation. As a result, the stellar population remains young and active, and the galaxy maintains its distinct spiral shape.
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a plano-convex glass lens of radius of curvature 2.9 m rests on an optically flat glass plate. the arrangement is illuminated from above with monochromatic light of 546-nm wavelength. the indexes of refraction of the lens and plate are 1.6. determine the radii of the first and second bright fringes in the reflected light.
0.000709 m , 0.00122 m is the radii of the first and second bright fringes in the reflected light.
What does "reflected light" mean in art?In works of art, light that reflects off one thing and strikes a different object is known as reflected light. You are working with light no matter what topics you draw or paint or how you draw or paint them. How three-dimensional your drawing appears depends on how well you depict light.
R = Radius of curvature = 2.9 m
λ = Wavelength = 559 nm = 546×10⁻⁹ m
Radius of bright fringe
r = [tex]\sqrt{(m+0.5)}[/tex]λr
The first bright fringe indicates that m = 0.
r = [tex]\sqrt{(0.5*559)*10^-9*1.8}[/tex] = 0.000709m
At m = 1, first-second fringe implies.
r = [tex]\sqrt{(1+0.5)559*10^-9*1.8}[/tex] = 0.00122m
∴The initial brilliant fringe has a radius of 0.000709 m. The second brilliant fringe has a radius of 0.00122 m.
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The greater efficiency achieved with the curved blades of a Pelton wheel is due to ____.
The greater efficiency achieved with the curved blades of a Pelton wheel is due to the fact that the curved blades are able to extract more kinetic energy from the moving water.
This is because the curved blades are able to direct the water onto a smaller area of the wheel, which results in a higher impact force and a greater transfer of energy from the water to the wheel.
In contrast, flat blades are not as effective at extracting kinetic energy from the water because they do not focus the water onto a smaller area of the wheel. As a result, the impact force is lower and less energy is transferred from the water to the wheel.
The Pelton wheel is a type of impulse turbine that is used to harness the energy of falling water in hydropower plants. It consists of a wheel with curved blades mounted on a shaft, which is turned by the impact of water jets that are directed onto the blades. The efficiency of the Pelton wheel can be improved by using a greater number of blades, which can increase the impact force and the transfer of energy from the water to the wheel.
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If there are 4Hz, how many waves per second are there?
Answer:
four cycles per second
7. A particle carrying a charge of 10s C starts from rest in a uniform electric field whose intensity is 50 V/m. What
is the force on the particle? How much kinetic energy will the particle have after it has moved 5 m?
Ans:
5 x 10+ N, 2.5 x 10³ J
The force on the particle is equal to 5 ×10⁻⁴ N. The kinetic energy of the particle is 2.5 ×10⁻³ J.
What is an electric field?An electric field can be described as the field that surrounds electrically charged particles and acts as a force on all other charged particles in the field.
The Coulomb force on a charge q at any point is equal to the product of the charge and the electric field at that point
[tex]{\displaystyle \mathbf {F} =q\mathbf {E} }[/tex]
The SI unit of the electric field is a volt per meter (V/m).
Given, the magnitude of charge, q = 10⁻⁵ C
The electric field, E = 50 V/m
The force on the particle, F = 50 × 10⁻⁵ = 5 ×10⁻⁴ N.
Work, W = K.E. = F.S = 5 ×10⁻⁴ × 5 = 25 × 10⁻⁴ = 2.5 ×10⁻³ J
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