Answers
51.96 meters from the building's base, the object strike(lands) on the ground.
Is zero always the initial velocity?A car's starting velocity is 0 if it is at rest. A projectile's initial velocity will be greater than zero if it is thrown into the area. The starting velocity of an automobile that stops after using the brakes will be greater than zero, but the ultimate velocity will be zero.
We can use the kinematic equations to solve for the horizontal distance traveled by the object before it hits the ground.
v₀y = 20 sin(30°) = 10 m/s
y = v₀yt - 1/2gt²
t = sqrt(2y/g) = sqrt(2(45)/9.81) ≈ 3 s
During this time, the object also travels a horizontal distance given by:
x = v₀x t
v₀x = 20 cos(30°) ≈ 17.32 m/s
Therefore, the horizontal distance traveled by the object before it hits the ground is:
x = v₀x t = 17.32 x 3 ≈ 51.96 m.
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Related Questions
A football quarterback throws a 0.408 kg football for a long pass. While in the motion of throwing, the quarterback moves the ball 1.909 m, starting from rest, and completes the motion in 0.439 s. Assuming the acceleration is constant, what force does the quarterback apply to the ball during the pass?
Answers
Answer:
The quarterback applies a force of 8.08 N to the ball during the pass.
Explanation:
To find the force we need to calculate the acceleration first so we can use the following equation:
\( F = ma \)
Now, we can calculate the acceleration as follows:
\( x_{f} = x_{0} + v_{0}t + \frac{1}{2}at^{2} \)
Since the ball starts from rest \(v_{0} = 0\) and \(x_{0} = 0\):
\( a = \frac{2*x_{f}}{t^{2}} = \frac{2*1.909 m}{(0.439 s)^{2}} = 19.81 m/s^{2} \)
Now we can find the force:
\( F = 0.408 kg*19.81 m/s^{2} = 8.08 N \)
Therefore, the quarterback applies a force of 8.08 N to the ball during the pass.
I hope it helps you!
when electric and _______ fields both exist, it is called an electromagentic
Answers
Answer:
the answer is magnetic
Question 9 of 10
In the engineering design process, what do engineers do immediately after
testing a prototype?
A. Communicate the solution.
B. Brainstorm multiple solutions.
C. Iterate to improve the solution.
D. Select one solution.
SUBMIT
Kk
Answers
Answer:
Answer the first 2 answers was incorrect
3. An object with a mass of 3.2 kg has a force of 6.2 N applied to it. What is the resulting acceleration
of the object?
Answers
Answer:
The answer is 1.94 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
where
f is the force
m is the acceleration
From the question we have
\(a = \frac{6.2}{3.2} \\ = 1.9375\)
We have the final answer as
1.94 m/s²Hope this helps you
A. Organized process to test a hypothesis
B. An educated guess about the solution to a problem
C. Observations & measurements recorded
D. A summary based on the results of an experiment
E. The response that is measured in an experiment
F. The factor that is manipulated during an experiment
Answers
The scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable.
What is an observation in science?Observation is the first step of the scientific method, which then requires to raise a question that will be answered by a testable hypothesis.
The scientific method is a series of well-established steps used to collect scientific empirical data/evidence, which allow to test a given hypothesis.
In conclusion, the scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable..
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What is SeaWorld?
What is this
What is that
Answers
SeaWorld is a chain of theme parks and oceanariums that showcase marine life through educational exhibits, live shows, and thrilling rides. While it has faced criticism for its treatment of animals, SeaWorld has made changes to prioritize conservation and phased out its orca breeding program.
SeaWorld is a chain of theme parks and oceanariums that primarily focuses on marine life and entertainment. The company operates various parks across the United States, including SeaWorld parks in Orlando, San Diego, and San Antonio, as well as Busch Gardens parks in Tampa and Williamsburg. SeaWorld offers a combination of educational exhibits, live shows, and thrilling rides, with a special emphasis on marine animals such as dolphins, whales, sea lions, penguins, and sharks.
SeaWorld parks provide visitors with opportunities to observe and interact with marine creatures up close, while also offering educational programs that aim to raise awareness about marine conservation and preservation. The parks feature captivating shows featuring trained animals, where they perform impressive behaviors and stunts, showcasing their intelligence and natural abilities.
Over the years, SeaWorld has faced criticism from animal rights activists and environmentalists, who argue that the captivity and use of marine animals for entertainment purposes is unethical and harmful to the animals' well-being. These concerns have led to significant changes in the company's practices, including the phasing out of its orca breeding program and the introduction of more educational and conservation-focused initiatives.
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1. Describe how the word ‘scientist’ came to be.
2. Who were the four men that met at Cambridge in 1812 and what were some of their accomplishments? What did they do and discuss at their meetings? Explain and describe.
3. What was the inductive scientific method? Explain. What was the debate surrounding this scientific method? Describe.
4. How did women first get a foot in the door of science? By whom? Explain.
5. What is the heroic part of the Philosophical Breakfast Clubs story? What is the flip side of this story? Explain the details of the ‘flip side.’
6. Snyder ends her talk by saying, “Darwin knew what we seem to have forgotten, that science is not only for scientists.” What do you think that is meant by this? Do you consider yourself to have a basic scientific literacy? Explain and discuss your thoughts.
7. Do you think it’s important that forensics is categorized as a science? Why or why not?
Answers
The word 'scientist' was first coined by William Whewell in the early 19th century. He proposed the term as a replacement for the previous term 'natural philosopher.
What is the word scientist about?The four men who met at Cambridge in 1812 were Charles Babbage, John Herschel, George Peacock, and Richard Jones. They were all highly accomplished scientists and mathematicians, and they formed a close friendship and intellectual partnership. They discussed a wide range of scientific and philosophical topics, including the nature of knowledge, the role of mathematics in science, and the principles of inductive reasoning. Their meetings laid the foundation for the development of the modern scientific method and helped to establish the field of mathematics as a central component of scientific inquiry.
The inductive scientific method involves making observations and collecting data in order to draw general conclusions or make predictions about a particular phenomenon. It is based on the idea that knowledge can be built up gradually through the accumulation of empirical evidence. The debate surrounding this scientific method focused on the question of whether it was truly objective and reliable, or whether it was inherently biased by the particular observations and assumptions of the scientist conducting the research.
Women first began to make significant contributions to science in the 19th century, largely through the efforts of pioneers such as Mary Somerville and Caroline Herschel. These women often had to overcome significant social and institutional barriers in order to pursue scientific research, but their accomplishments helped to pave the way for future generations of female scientists.
The heroic part of the Philosophical Breakfast Clubs story is the way in which these four men collaborated and supported each other in pursuit of scientific knowledge. They were willing to challenge established ideas and take risks in order to advance their field. However, the flip side of this story is that their exclusive, male-dominated intellectual circle reinforced existing power structures and excluded women and other marginalized groups from participating in the scientific enterprise.
Darwin's statement that "science is not only for scientists" emphasizes the idea that scientific knowledge should be accessible and understandable to everyone, not just those who have specialized training or expertise. In order to fully participate in a democratic society, it is important for individuals to have at least a basic understanding of scientific concepts and methods. Whether or not one considers oneself to have a basic scientific literacy depends on individual experiences and education.
Therefore, It is important that forensics is categorized as a science because it involves the application of scientific principles and methods to the investigation of crimes and other legal matters. By using evidence-based techniques, forensic scientists can provide accurate and reliable information that can be used to make informed decisions in legal proceedings.
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A crate with a mass of 1000 kg is being pulled along greased tracks by a winch. The winch is exerting a force of 2000 N
in the horizontal direction along the tracks. The coefficient of kinetic friction between the crate and the tracks is 0.2.
20. What is the net force acting on the crate in the horizontal direction?
21.
Using Newton's second law, calculate the crate's acceleration.
Answers
Coefficient of Kinetic Friction = 0.2
Mass of the crate = 1000 kg
Force applied = 2000 N
Net force Acting on the crate in the Horizontal Direction:Normal Force applied on the Crate:Normal force is the force applied on the object by the surface. It is equal and opposite to the force of gravity
So, we can say that Normal force = | Gravitational Force |
Normal Force = | mg |
Normal Force = 1000 * 9.8
Normal Force = 9800 N
Finding the Frictional Force:We know that:
coefficient of Kinetic friction = Friction force / Normal force
replacing the known values
0.2 = Friction force / 9800
Friction Force= 0.2 * 9800
Friction Force = 1960 N
Net force acting on the Crate:
We know that a force of 2000 N is being applied on the crate in the Horizontal direction
Frictional force is always opposite to the horizontal force. So, we can say that:
Applied force - Friction Force = Net Force
replacing the variables
2000 - 1960 = Net force
Net Force = 40N
Therefore, a net force of 40N is being applied on the Crate
Acceleration of the Crate:From newton's second law of motion:
F = ma
replacing the variables
40 = 1000 * a
a = 40/1000
a = 0.04 m/s²
Hence, the crate will have an acceleration of 0.04 m/s²
What is the initial velocity if a bike rider cycles 220 meters in 29.9 seconds with a rate of acceleration of .14m/s^2
Answers
the initial velocity of the bike rider is 10.35 m/s.
A force of 10 Newtons is the only force exerted on a block, and the acceleration of the block is measured. When the same force is the only force exerted on a second block, the acceleration is three times as large. What can you conclude about the masses of the two blocks?
Answers
When the acceleration is three times as large, the mass of the new block will be one-third the initial mass.
What is the acceleration of the block?
The acceleration of the block is the rate of change of velocity of the block with time.
The magnitude of the acceleration of each block can be obtained by applying Newton's second law of motion as follows;
F = ma
m = F/a
where;
m is the mass of each blockF is the applied force = 10 Na is the acceleration of each block.When the acceleration is three times as large, the mass of the new block is calculated as;
m = F/3a
m = 1/3 (F/a)
new mass = one-third the initial mass
Thus, we can conclude that when the acceleration is three times as large, the mass of the new block will be one-third the initial mass.
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Jane does 5 joules of work when she closes her bedroom window. She applies a force of 6 newtons to do the job. How far does she pull the window? Immersive Reader
(1 Point)
30 m
1.2 m
0.83 m
11 m
Answers
Statement:
Jane does 5 joules of work when she closes her bedroom window. She applies a force of 6 newtons to do the job.
To find out:
The displacement of the window when she pulled it.
Solution:
Work done (W) = 5 JForce (F) = 6 NLet the displacement of the window be s.We know, the formula of work done, i.e., W = FsPutting the values in the above formula, we get5 J = 6 N × sor, s = (5 ÷ 6) mor, s = 0.83 mAnswer:
She pulls the window by 0.83 m.
Hope you could understand.
If you have any query, feel free to ask.
Can you answer this question with explanation?
Answers
a) The magnitude of the electric field at the center of the semicircle is given by E = Xo/(2πR).
What is electric field?An electric field is a physical field created by the presence of electric charge. It is an invisible force that can act on any other charged particles in its vicinity. Electric fields are generated by electric charges, or by time-varying magnetic fields.
The direction of the electric field is towards the center of the semicircle. This can be seen from the fact that the electric field is generated by the line of positive charge, thus pointing inwards.
b) The total force on the particle with negative charge -q placed at the center of the semicircle is given by F = -qE. Thus, the total force on the particle is given by F = -qXo/(2πR).
c) The magnitude of the electric field at the center of the semicircle is given by E = Xo/(2πR) cose. Here, cose is the cosine of the angle between the line of charge and the position of the particle. The direction of the electric field is still towards the center of the semicircle.
Bonus: If the semicircle has a total charge Q, the magnitude of the electric field at the center of the semicircle is given by E = Q/(2πR). The direction of the electric field is still towards the center of the semicircle.
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(Figure 1) is the potential-energy diagram for a 500 g particle that is released from rest at A . What is the particle's speed at B ?
Answers
Answer:
Explanation:
according to the graph at B the potential energy of the particle is 2J
therefore we can use the kinetic energy equation to calculate the particle's velocity or speed.
\(E_{k} =1/2mv^{2}\)
2J= 1/2*1/2kg*v^2
8=v^2
v= 2√2 ms-1
Q1: An object is in a uniform circular motion. Which of the following statements must be
true?
Answers
Answer:
it has constant angular velocity
Explanation:
an object moving in a uniform circular motion moves with constant angular velocity about a point
a cannon is shot from a boat at 185 m/s at a 52.2 angle. How far away does it land?
Answers
Answer:
3380 m
Explanation:
A charge, q1 = 50-μC is held fixed at the origin and another charge q2 = -20-μC is held fixed on the x axis at a point x = 3.0 m. (a) Calculate the net electric potential at a point A on x-axis at x = 40 cm. (b) Also calculate the net electric potential at another point B on the x-axis at x = 90 cm due the given source charges. (c) If a third charge, q0 = 10-μC charge is released from rest at A, what is its kinetic energy the instant it passes the point B?
Answers
Answer:
(a) V = 1.053*10^6 V
(b) V = 4.133*10^5 V
(c) K = 6.397 J
Explanation:
(a) In order to calculate the electric potential at the point A you use the following formula:
\(V=k\frac{q}{r}\)
k: Coulomb's constant = 8.98*10^9 NM^2/C^2
q: charge of the particle that generates the electric field
r: distance to the charge
You take into account the two contributions to the electric potential of the two charges:
\(V=V_1+V_2=k(\frac{q_1}{r_1}+\frac{q_2}{r_2})\) (1)
q1: 50μC = 50*10^-6 C
q2: -20μC = -20*10^-6 C
r1 = 40cm = 0.4m
r2 = 3.0 m - 0.4 m = 2.6m
You replace the values of all parameters in the equation (1):
\(V=(8.98*10^9Nm^2/C^2)(\frac{50*10^{-6}C}{0.4m}+\frac{-20*10^{-6}C}{2.6m})\\\\V=1.053*10^6V\)
The net electric potential at A is 1.053*10^6 V
(b) For a point B at x = 90cm = 0.9m you have:
r1 = 0.9m
r2 = 3.0m - 0.9m = 2.1 m
\(V=(8.98*10^9Nm^2/C^2)(\frac{50*10^{-6}C}{0.9m}+\frac{-20*10^{-6}}{2.1m})\\\\V=4.133*10^5V\)
The net electric potential at the point B is 4.133*10^5 V
(c) In order to calculate the kinetic energy of the charge q0, you use the following formula:
\(K=q_oV'\) (2)
q0 = 10μC
V': potential difference between points A and B
You calculate the potential difference V', and then you replace the values of q0 and V in the equation (2):
\(V'=1.053*10^6V-4.133*105V=6.39*10^5V\\\\K=(10*10^{-6}C)(6.39*10^5V)=6.397J\)
The kinetic energy of the particle when it crosses the point B from point A is 6.397J
The speed of a boat is often given in knots. If a speed of 5 knots were expressed in the SI system of units, the units would be:____________.
Answers
Answer:
0.514 m/s
Explanation:
The knot is a unit of nautical speed used in maritime navigation.
1 knot is equal to one nautical mile per hour,
1 nautical mile per hour = 1.852 km/h
The basic SI system of units of speed is in 'm/s'
1.852 km/h = (1.852 x 1000)/3600 = 0.514 m/s
In a certain lab experiment, a spring gun was placed on a table and fired a steel ball horizontally outward. A student determines that the ball starts 1.0 m above the floor and travels 2.7 m before striking the floor
In a certain lab experiment, a spring gun was placed on a table and fired a steel ball horizontally outward. A student determines that the ball starts 1.0 m above the floor and travels 2.7 m before striking the floor.
(a) Determine the time that the ball is in the air. (2 pts)
(b) Determine the initial velocity of the ball. (2 pts)
Answers
a) The time that the ball is in the air is 0.23 second.
b) The initial horizontal velocity of the ball is 11.74 m/s.
What is velocity?
The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction.
Vertical height of the point = 1.0 meter.
The horizontal distance travelled by the ball = 2.7 m.
a) The time that the ball is in the air is = √(H/2g)
= √(1.0/2×9.8)
= 0.23 second
b) The initial horizontal velocity of the ball is = 2.7 m/0.23 s
= 11.74 m/s
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Help me please
What is the shape of the velocity vs time graph for an object going at constant speed?
A- A curve that rises gradually to the right
B- A curve that decreases gradually to the right
C- A straight line that rises gradually to the right
D- A strait line that decreases gradually to the right
E- A straight line that is level and neither increases or decreases going to the right
Answers
Answer: a or b can u pls give me brainlest
Explanation:A straight line is a curve with constant slope. Since slope is acceleration on a velocity-time graph, each of the objects represented on this graph is moving with a constant acceleration.
What does the phrase “constant velocity” indicate?
a. zero distance
b. zero acceleration
c. constant acceleration
d. deceleration
Answers
Within the living area of the colony, what atmospheric gases must be present on Venus?
Answers
Humans would need a breathable environment like that on Earth in the living section of a colony on Venus in order to survive. Nitrogen, oxygen, and trace amounts of other gases, such as carbon dioxide, make up the majority of the atmosphere on Earth.
What gases are present in Venus' atmosphere?The clouds are made of sulfuric acid, and the atmosphere is primarily carbon dioxide, the same gas that causes the greenhouse effect on Venus and Earth. And the heated, high-pressure carbon dioxide acts corrosively at the surface.
What gases are found in Mars' and Venus' atmospheres?For instance, compared to Earth, which has 99% nitrogen and oxygen in its atmosphere, Venus and Mars both contain more than 98% carbon dioxide and nitrogen.
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find the rms speed of a sample of oxygen at 30° C and having a molar mass of 16 g/mol.
Answers
At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.
The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:
vrms = √(3kT/m)
Where:
vrms is the rms speed
k is the Boltzmann constant (1.38 x 10^-23 J/K)
T is the temperature in Kelvin
m is the molar mass of the gas in kilograms
To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:
m = 16 g/mol = 0.016 kg/mol
Substituting the values into the formula, we have:
vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))
Calculating this expression yields the rms speed of the oxygen sample:
vrms ≈ 482.34 m/s
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Kinetic energy depends on which two things
Answers
Answer:
Explanation: relationship between the object and the observer's frame of reference.
A car starts from rest and reaches a velocity of 50.0 m/s in 41.0 seconds. What is the
acceleration
Please show how you got it
Answers
Answer:
1.21 or 1.2 acceleration
Explanation:
i think it is 50.0/41.0
which would equal 1.21(depending on if you round it)
Which terms describe this graph? (Choose all that apply)
negative correlation
linear
inversely proportional relationship
no correlation
non-linear
directly proportional relationship
Answers
The term that describes the given graph is a negative correlation, linear, inversely proportional relationship
Regression evaluation is a similar method for inspecting the connection between a final results variable and one or extra threat elements or confounding variables (confounding is mentioned later). The end result variable is likewise referred to as the reaction or based variable, while the threat elements and confounders are referred to as predictors, explanatory variables, or unbiased variables. The based variable in regression evaluation is indicated with the aid of using "Y," whilst the unbiased variables are denoted with the aid of using "X."
The path of the hyperlink is indicated with the aid of using the signal of the correlation coefficient. The correlation coefficient's price displays the electricity of the hyperlink.
It is vital to spotlight that whilst there can be a non-linear dating among non-stop variables, calculating a correlation coefficient does now no longer display this. As an end result, it's miles usually vital to investigate the statistics well earlier than setting up a correlation coefficient. Graphical representations are very powerful for investigating relationships among variables.
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A 645 g block is released from rest at height h0 above a vertical spring with spring constant k = 530 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 14.9 cm. How much work is done (a) by the block on the spring and (b) by the spring on the block? (c) What is the value of h0? (d) If the block were released from height 3h0 above the spring, what would be the maximum compression of the spring?
Answers
Answer:
a)5.88J
b)-5.88J
c)0.78m
d)0.24m
Explanation:
a) W by the block on spring is given by
W= \(\frac{1}{2}\)kx² = \(\frac{1}{2}\)(530)(0.149)² = 5.88 J
b) Workdone by the spring = - Workdone by the block = -5.88J
c) Taking x = 0 at the contact point we have U top = U bottom
So, mg\(h_o\) = \(\frac{1}{2}\)kx² - mgx
And, \(h_o\)= ( \(\frac{1}{2}\)kx² - mgx )/(mg) = \([\frac{1}{2} (530)(0.149^2)-(0.645)(9.8)(0.149)\)]/(0.645x9.8)
\(h_o\)= 0.78m
d) Now, if the initial initial height of block is 3\(h_o\)
\(h_o\) = 3 x 0.78 = 2.34m
then, \(\frac{1}{2}\)kx² - mgx - mg\(h_o\) =0
\(\frac{1}{2}\)(530)x² - [(0.645)(9.8)x] - [(0.645)(9.8)(2.34) = 0
265x² - 6.321x - 14.8 = 0
a=265
b=-6.321
c=-14.8
By using quadratic eq. formula, we'll have the roots
x= 0.24 or x=-0.225
Considering only positive root:
x= 0.24m (maximum compression of the spring)
calculate the electric potential energy in a capacitor that stores 9.40 x 10 to the negative 10 C of charge at 50.0 V
Answers
The electric potential energy stored in the capacitor is 4.70 x 10^-8 Joules.
The electric potential energy stored in a capacitor is given by the formula:
U = (1/2) * C * V^2
where U is the potential energy in Joules, C is the capacitance in Farads, and V is the voltage across the capacitor in Volts.
In this case, we are given that the capacitor stores 9.40 x 10^-10 C of charge at 50.0 V. However, we are not given the capacitance value. Therefore, we cannot calculate the potential energy directly using the above formula.
To find the capacitance value, we can use the formula:
C = Q / V
where Q is the charge stored in the capacitor and V is the voltage across the capacitor.
Substituting the given values, we get:
C = 9.40 x 10^-10 / 50.0
= 1.88 x 10^-11 F
Now we can use the formula for electric potential energy to find the energy stored in the capacitor:
U = (1/2) * 1.88 x 10^-11 * (50.0)^2
= 4.70 x 10^-8 J
Therefore, the electric potential energy stored in the capacitor is 4.70 x 10^-8 Joules.
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In a DC generator, the generated emf is directly proportional to the
Answers
In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.
This relationship is described by the equation for the generated emf in a DC generator:
Emf = Φ * N * A * Z / 60
Where:
Emf is the generated electromotive force (in volts),
Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),
N is the number of turns in the armature winding,
A is the effective area of the armature coil (in square meters),
Z is the total number of armature conductors, and
60 is a constant representing the conversion from seconds to minutes.
From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.
The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.
The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.
Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.
By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.
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Please solve this.. I can't find R_th and V_oc at 6kohm....
Answers
The current I through the 4 kΩ resistor in the original circuit is 0.199 mA.
Thévenin's theorem states that any linear network of voltage and current sources and resistors can be replaced by an equivalent circuit consisting of a single voltage source and a single resistor. The equivalent circuit provides the same output voltage and current as the original circuit for any external load connected to it.
To find the current I in the circuit using Thévenin's theorem, we need to follow these steps:
Step 1: Find the Thévenin equivalent voltage (Vth) across the 4 kΩ resistor.
To find Vth, we need to first find the open circuit voltage (Voc) across the 4 kΩ resistor. We can do this by removing the 4 kΩ resistor and finding the voltage between its two terminals using a voltage divider:
Voc = 6 kΩ/(2 kΩ + 6 kΩ) x 2 mA = 1.2 V
Next, we need to find the Thévenin equivalent resistance (Rth) across the 4 kΩ resistor. To do this, we need to short-circuit all the independent voltage sources (in this case, there is only one) and find the equivalent resistance seen from the terminals of the 4 kΩ resistor. With the 2 mA current source shorted out, the 2 kΩ and 4 kΩ resistors are in parallel:
Rth = 2 kΩ || 4 kΩ = 1.33 kΩ
Step 2: Replace the original circuit with the Thévenin equivalent circuit.
We can now replace the original circuit with the Thévenin equivalent circuit, which consists of a voltage source Vth = 1.2 V in series with a resistor Rth = 1.33 kΩ.
Step 3: Find the current I through the 4 kΩ resistor in the Thévenin equivalent circuit.
To find the current I, we can use Ohm's law:
I = Vth/(Rth + 4 kΩ) = 1.2 V/(1.33 kΩ + 4 kΩ) = 0.199 mA
Therefore, the current I through the 4 kΩ resistor in the original circuit is 0.199 mA.
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Calculate the force that would be required to enact 50 joules of work on an object that was displaced by 2 meters.
Answers
Answer:
Force = 25 N
Explanation:
Given:
Work done = 50 J
Displacement = 2 m
Find:
Force
Computation:
Work done = Force x displacement
50 = Force x 2
Force = 25 N