A positive test charge of 8.5 × 10 negative 7 Columbus experiences a force of 4.1 × 10 negative 1 N calculate the electric field created by the positive test charge also specify the direction of the electric field with respect to the force
Answers
Explanation:
direction of electric field is same as that of force experienced by the test charge
Answer:
Comments/Reasoning Calculations/Results
I used the equation for calculating electric field strength. E = F/q
I substituted the values of F and q in the equation to get
this value of E E= (4.1 x10-1)/(8.5 x10-7)
The electric field strength is 4.8 × 105 newtons/coulomb
Explanation:
edmentum sample answer
Related Questions
A stationary 3-kg hard steel ball is hit head-on by a 1-kg hard steel ball moving to the right at 4 m/s. After the collision, the 3-kg ball moves to the right at 2 m/s. What is the velocity (speed and direction) of the 1-kg ball after the collision?
Answers
From conservation of momentum we have that:
\(\begin{gathered} 1(4)+3(0)=1v+3(2) \\ 4=v+6 \\ v=4-6 \\ v=-2 \end{gathered}\)Therefore the velocity of the 1 kg ball after the collision is 2 m/s to the left.
PLS HELP DUE TODAY
A group of Ontario farmers form a cooperative group and build a factory that turns corn into a fuel for generators and cars. Would this energy source be renewable or non-renewable? Explain.
Answers
Answer:
renewable, you can keep growing corn for it. more fossil fuel can be made by nature but it takes way too long to be considered renewable
A cannonball with a mass of 50 kilograms and a golf ball with a mass of 0. 8 kilograms are dropped in a vacuum from a height of 10 meters. Compare the acceleration of each object as they fall.
Answers
It's gonna take a huge amount of time and effort, and we're gonna spend a huge amount of money, to build a vacuum chamber big enough to do this experiment.
So when we're finally ready to try it, the cannonball and golf ball will make a kind of cute experiment, but let's make it really interesting. Let's ALSO try it with a feather, an apple, a watermelon, a tennis ball, a basketball, a coffeepot, a chair, an old computer, a set of dishes, a trombone, a bicycle, a math book, a TV set, a gallon of milk, a skateboard, a shotgun, a concrete block, a car, a waterbed, a schoolbus, a battleship, your dog, and my wife !
Drop every single one of them from a height of 10 meters.
Every single one of them accelerates at 9.8 m/s² as it falls, takes 1.429 seconds to reach the floor, and hits the floor at a speed of 14 m/s. The feather, the schoolbus, and my wife stay together all the way down.
The only way this doesn't happen is if ...
-- you do this experiment in some other place that's not Earth, or
-- you throw one of the objects and you don't just drop it, or
-- the vacuum chamber has a leak and some air gets into it.
Because that's how gravity works.
a physician who specializes in the diagnosis and treatment of cancer is known as a(n)
Answers
A physician who specializes in the diagnosis and treatment of cancer is known as an oncologist. This type of doctor has undergone extensive training in the field of oncology and has a deep understanding of the biology, causes, and treatment options for various types of cancer.
Oncologists work in a variety of settings, including hospitals, clinics, and research centers. They play a crucial role in the treatment of cancer patients, working closely with other healthcare professionals to develop individualized treatment plans that may include surgery, chemotherapy, radiation therapy, and other forms of therapy.
Oncologists also monitor patients closely throughout their treatment and may make adjustments to their care plan as needed. Overall, an oncologist is an essential part of a patient's cancer care team and can make a significant difference in their treatment outcomes and quality of life.
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AM and FM stand for two different processes that are used to code voices and music for transmission. What does AM stand for? 1. Amplitude Modulation 2. Amplitude Mediation A
Answers
Answer:
1. Amplitude Modulation
Explanation:
AM is an acronym for Amplitude Modulation and it's refers to a process that is typically used for coding sounds such as voices and music for transmission from one point to another.
On the other hand, FM is an acronym for frequency modulation used for the propagation and transmission of sound waves.
Basically, the two forms of modulation are used for broadcasting in radio transmission.
Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.
Generally, the most commonly used electromagnetic wave technology in telecommunications is radio waves.
Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m. Therefore, radio waves are a series of repetitive valleys and peaks that are typically characterized of having the longest wavelength in the electromagnetic spectrum.
What is the approximate time of death if the body temperature was 10°C (50°F)?
Answers
If the body temperature was 10°C, the approximate time of death would be between 12 and 36 hours, depending on the surroundings and other variables.
What time does death occur?However, it's crucial to note that the time of death can be influenced by several factors like the environment, clothing, and the person's physical state. The time of death can also be estimated by measuring the body temperature, also known as algor mortis.
After death, the body temperature decreases at a rate of roughly 1.5°C per hour, though this might change depending on the surroundings and other variables. It is impossible to pinpoint the exact time of death if the body temperature was 10°C, although it may indicate that death happened several hours earlier because the body temperature will continue to drop after death.
However, other techniques, like lividity, rigor mortis, and inspection of the stomach contents, are more accurate, hence it is not advised to utilize this method alone to establish the time of death. For a more precise estimation of the time of death, a forensic specialist should be consulted.
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what is a convalent bond
I JUST NEED A ANSWER DONT CARE WHAT IT IS
Answers
Answer: A covalent bond, also called a molecular bond, is a chemical bond that involves the sharing of electron pairs between atoms.
Hope that helps! :)
derive an expression from the energy stored E, in a stretched wire of original length L cross sectional area A, e, tension e,and young modulus Y of the material of the wire
Answers
The expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by E = Y * e * ln(L) * A
How to explain the expressionThe work done to stretch the wire can be calculated by integrating the force applied over the displacement. In this case, the force applied is the tension (T) in the wire, and the displacement is the change in length (ΔL) from the original length (L) to the stretched length (L + ΔL).
The tension in the wire is given by Hooke's law, which states that the tension is proportional to the extension of the wire:
T = Y * (ΔL / L)
where Y is the Young's modulus of the material of the wire.
Now, let's calculate the work done to stretch the wire:
dW = T * dL
Integrating this expression from L to L + ΔL:
W = ∫ T * dL = ∫ Y * (ΔL / L) * dL
W = Y * ΔL * ∫ (dL / L)
W = Y * ΔL * ln(L) + C
Here, C is the constant of integration. Since the energy stored in the wire is zero when it is unstretched (ΔL = 0), we can set C = 0.
Finally, the expression for the energy stored in the wire (E) is:
E = W = Y * ΔL * ln(L)
or, if we substitute the cross-sectional area (A) and strain (e) of the wire, where e = ΔL / L:
E = Y * e * ln(L) * A
Thus, the expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by:
E = Y * e * ln(L) * A
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Does the size of the magnetic field change with the size of the magnet?
Answers
Answer:
Not all of the time, it can also depend on the strength of the magnet.
Explanation:
say you have a small very strong magnet, that might work just as well as a large but week magnet.
The cuboid and the cube below are placed on the floor. The cuboid has a weight of 60N and the cube has a weight of 40N. Which exerts a greater pressure on the ground? Prove your answer.
Answers
Answer:
they both exert the same pressure
Explanation:
Pressure is the ratio of force to area. It is given as:
\(P=\frac{F}{A}\) , where F is the force, P is pressure and A is area
1) For the cuboid, the area of the base placed on the ground (A) = 8 cm × 3 cm = 24 cm² = 0.0024 m². Therefore the pressure is:
\(P=\frac{F}{A}=\frac{60}{0.0024} =25000N/m^2=25KN/m^2\)
2) For the cube, the area of the base placed on the ground (A) = 4 cm × 4 cm = 16 cm² = 0.0016 m². Therefore the pressure is:
\(P=\frac{F}{A}=\frac{40}{0.0016} =25000N/m^2=25KN/m^2\)
Therefore, they both exert the same pressure.
what causes an aurora to occur? question 3 options:reflection and refraction of moonlightcollisions of gaseous particles of earth's atmosphere with charged particles released from the sun's atmosphereextra-terrestrial life formschanges in mars' magnetic field
Answers
Answer: B: Collisions of gaseous particles of Earth's atmosphere with charged particles released from the sun's atmosphere
Explanation:
An aurora is caused by collisions of gaseous particles of Earth's atmosphere with charged particles released from the Sun's atmosphere.
These charged particles are carried to Earth by solar wind and interact with the Earth's magnetic field, causing them to spiral towards the poles. As they enter the atmosphere, they collide with the gas particles and emit light, resulting in the beautiful and colorful light displays known as auroras. Reflection and refraction of moonlight do not play a role in the formation of auroras, and there is currently no evidence of extra-terrestrial life forms contributing to auroras. Changes in Mars' magnetic field may result in aurora-like displays, but it would not be considered a true aurora.
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HELP PLEASE I HAVE NO IDEA OF WHAT TO DO!!!!!
Answers
Answer:
6 seconds/ 4 to 5 seconds
Explanation:
Answer:
im prety sure it is b tell me if im wrong
Explanation:
Can the Earth block the Sun;s light from the Moon, or cast a shadow?
(This is a Science question)
Answers
Answer:
Sometimes Earth moves between the sun and the moon. When this happens, Earth blocks the sunlight that normally is reflected by the moon. (This sunlight is what causes the moon to shine.) Instead of light hitting the moon's surface, Earth's shadow falls on it.
Explanation:
I Just Know
sally sue, an enthusiastic physics student enjoyed the opportunity to collect data from standing waves in a spring. She and her partner held the ends of their spring 4.00 meters apart. There were 5 nodes in the standing wave produced. Sally moved her hand from the rest position back and forth along the floor 20 times in 4.00 s.
Answers
Sally Sue and her partner held the ends of a spring 4.00 meters apart. When the spring was set into motion, it produced a standing wave with 5 nodes. Sally Sue moved her hand from the rest position back and forth along the floor 20 times in 4.00 s. From this data, we can calculate some properties of the standing wave:
The wavelength of the standing wave can be found by dividing the distance between the ends of the spring by the number of segments, which is equal to the number of nodes plus one. In this case, the wavelength is (4.00 m)/(5+1) = 0.67 m. The frequency of the standing wave can be found by dividing the number of hand motions by the time it took to complete them. In this case, the frequency is (20 motions)/(4.00 s) = 5.0 Hz. The speed of the wave can be found by multiplying the wavelength by the frequency. In this case, the speed is (0.67 m)(5.0 Hz) = 3.4 m/s.This is just a brief overview of the data that can be collected from the scenario you provided.
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Consider a river flowing toward a lake at an average velocity of 3 m/s at a rate of 540 m3/s at a location 90 m above the lake surface. Determine the total mechanical energy of the river water per unit mass and the power generation potential of the entire river at that location.
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Mechanical energy: It is the sum of kinetic energy and potential energy in an object. Kinetic energy refers to an object's energy of motion, while potential energy refers to an object's energy of position.
Power generation potential: This refers to the energy-generating capacity of a power plant or system. It is used to assess the amount of power that a system can produce. It can be calculated as : P = E/t where P is power, E is energy, and t is time.
The total mechanical energy of the river water per unit mass can be calculated as the sum of the potential energy per unit mass and the kinetic energy per unit mass. The equation for potential energy per unit mass is PE = mgh, where m is the mass of the water, g is the acceleration due to gravity (9.81 m/s^{2} ), and h is the height of the water above a reference level. The equation for kinetic energy per unit mass is KE = 0.5m^{2,} where v is the velocity of the water.
As it is mentioned in the question that the river is flowing at an average velocity of 3 m/s and the location is 90 m above the lake surface.
The total mechanical energy per unit mass can be calculated as follows:
Potential energy PE = mgh
= (540 kg/s)(9.81 m/s^{2} )(90 m) = 474,102 J/kg
Kinetic energy KE = 0.5mv^{2}
= 0.5(540 kg/s)(3 m/s)^{2} = 2430 J/kg
Total mechanical energy per unit mass = PE + KE = 476,532 J/kg
The power generation potential of the entire river at that location can be calculated as follows:
Power = E/t where E is the total energy per second and t is time.
The total energy per second can be calculated as the product of the mass flow rate and the total mechanical energy per unit mass. The time interval can be chosen as one second to obtain the power per second.
Therefore, Power = (540 kg/s)(476,532 J/kg)/1 s ≈ 257.4 MW
Therefore, the power generation potential of the entire river at that location is approximately 257.4 MW.
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If an equation is balanced,it demonstrates the law of conservation of mass
True or False
Answers
Answer: True
Explanation:
(8\%) Problem 7: Suppose you wanted to store \( 3 \mu \mathrm{C} \) of charge in a capacitor across a voltage of \( 120 \mathrm{~V} \). ( What capacitance is needed in \( \mathrm{nF} \) ? \[ C= \]
Answers
The value of the capacitance needed is determined as 25 nF.
What is the capacitance needed?If you wanted to store 3μC of charge in a capacitor across a voltage of 120 V, the value of the capacitance needed is calculated by applying the following formula.
C = Q/V
where;
Q is the chargeV is the voltage suppliedC is the capacitanceC = ( 3 x 10⁻⁶ C) / ( 120 V )
C = 2.5 x 10⁻⁸ F
C = 25 x 10⁻⁹ F
C = 25 nF
Thus, the value of the capacitance needed is determined as 25 nF.
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Module 3 Discussion!
After reading Ch.12 and 13 of the text (The essentials of Finance and Accounting for nonfinancial managers/ Third Edition) on Strategy and Financial Forecasting, watching the SWOT video based on Paley’s Products from the Ratio Analysis in Module 2 and the additional narrative information in Appendix C, Phase
Create a SWOT analysis that will reflect the TOWS analysis as described in Ch. 12 of the text. The purpose of the SWOT analysis is to lay out several issues and possibilities to be considered in Paley’s strategic planning. The strengths and weaknesses are internal issues, whereas the opportunities and threats are external.
The second part of the analysis is to create actions based on the SWOTs. This is sometimes called a TOWS analysis and is done by comparing the boxes, two at a time:
Offensive actions come from strengths that link to opportunities, so a specific strength can be applied to exploit an opportunity.
Adjusting actions come from addressing weaknesses, which then can be used to exploit opportunities that previously had not been possible.
Turnaround actions come from weaknesses that link to threats. These are high-risk issues where a priority needs to be given to addressing the weakness to minimize the vulnerability.
Defensive actions come from threats that link to strengths. These are latent issues because if the threat materializes, an already-existing strength is available to counter it.
Additional actions can be included to address other issues not directly identified in the SWOTs.
3. From the actions identified in part 2, pick 3-5 strategic actions that you feel Paley must achieve or at least start in the upcoming year and state your reasons for including them.
Attach your completed SWOT form and list of strategic actions with supporting logic and facts from the case as your answer for this discussion question. These actions are the foundation for the strategic plan
Answers
SWOT Analysis Strengths- Paley’s Products has a low overhead cost with the company operating at a high level of efficiency, resulting in competitive pricing.- They have a team of experienced employees who have worked in the industry for several years.- They have a variety of products in the portfolio that can satisfy customers from different sectors.- They are reputable and have a loyal customer base.Weaknesses- They have been slow to adopt new technology, and this may be a disadvantage to the company.- Limited marketing and sales promotion are affecting their sales revenue.-
They depend on a few key customers for the bulk of their sales revenue, leaving them vulnerable to market changes.Opportunities- Expansion of the product line to include unique products.- The establishment of strategic partnerships with other businesses in the industry.- Exploration of new markets, such as international markets.- Improvement of marketing techniques to increase brand awareness.Threats- Changes in consumer preferences towards environmentally friendly products.- Increase in competition from other businesses in the industry.- Fluctuating market prices for raw materials that may lead to price increases.
Strategic Actions to be taken by Paley Products1. Development of an E-commerce platform to allow online transactions with customers. The E-commerce platform will enable Paley to reach a wider customer base, expand its reach, and increase sales revenue.2. Investment in the research and development of new environmentally friendly products. Paley will remain competitive and cater to the needs of consumers who prefer green products.3. Establishment of strategic partnerships with other businesses in the industry to leverage the strength of other companies in the industry and to develop new products or increase market share.4. Improvement of marketing techniques to increase brand awareness and improve visibility. A marketing strategy that incorporates social media and other digital channels can help promote the brand to potential customers.5. Expansion into international markets. This will enable Paley to diversify its customer base and generate more revenue. Paley can start by targeting nearby countries, then expand globally as they gain more experience and financial stability.
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Light travels through space at a speed of 3.0 x 108 m/s. A space probe is
traveling toward Earth at 2.5 * 108 m/s when one of its spotlights is turned
on. What speed would an observer on Earth measure for the light from the
spotlight?
O A. 2.5 * 108 m/s
O B. 3.0 x 108 m/s
O c. 5.5 x 108 m/s
O D. 0.5 x 108 m/s
Answers
Explanation:
The answer is (B). The speed of light is the same for all observers regardless of their motion relative to the light source.
The speed would an observer on Earth measures for the light from the spotlight will be 3×10⁸ m/sec.
What is speed?Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its si unit is m/sec.
The given data in the problem is;
The speed of light is, \(\rm C =3 \times 10^8\ m/sec\)
All frames of reference have the same speed of light in a vacuum. Therefore the speed would an observer on Earth measures for the light from the spotlight will be 3×10⁸ m/sec.
Hence option B is correct.
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A car goes from rest to a velocity of 108km/h north in 10s . What is the cars acceleration in mls^2
Answers
Answer:
To calculate the car's acceleration in m/s², we need to convert the given velocity from km/h to m/s and use the formula:
Acceleration = (Final Velocity - Initial Velocity) / Time
The car's acceleration is 3 m/s².
Explanation:
Initial Velocity = 0 (since the car starts from rest)
Final Velocity = 108 km/h
Time = 10 s
First, let's convert the final velocity from km/h to m/s:
108 km/h = 108 * (1000 m / 3600 s) ≈ 30 m/s
Now we can calculate the acceleration:
Acceleration = (30 m/s - 0 m/s) / 10 s = 3 m/s²
Therefore, the car's acceleration is 3 m/s².
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question in the photo
Answers
please answer all & provide propper numbering that
corresponds to the questions!
Problem 2 Recall the general Fourier/momentum expansion for the electromagnetic vector potential is: A(r, t) = ΣΑΣ, () = eikki-uct) - ( w = clK1 = ck. VV where I, p= 1,2 are orthonormal polarizatio
Answers
The given equation is the general Fourier/momentum expansion for the electromagnetic vector potential.A(r,t)=ΣAp,()=eikp⋅r−ωpt)(p=1,2) are orthonormal polarization vectors.kp are wave vectors and ωp are angular frequencies such that c=ωp/kp.1. What is the equation for the general Fourier/momentum expansion for the electromagnetic vector potential.
The given equation is the general Fourier/momentum expansion for the electromagnetic vector potential which is as follows;A(r,t)=ΣAp,()=eikp⋅r−ωpt)(p=1,2) are orthonormal polarization vectors.2. What is the value of kp in the given equation?kp are wave vectors in the given equation.3. What is the value of ωp in the given equation?ωp are angular frequencies in the given equation.4. What is the value of c in the given equation?The value of c in the given equation is ωp/kp.5.
Explain the term orthonormal polarisation vectors.The orthonormal polarization vectors (p=1,2) are mutually orthogonal and of unit length. The scalar product of the two orthonormal polarization vectors is as follows;p1⋅p1=1p2⋅p2=1p1⋅p2=0. The orthonormal polarization vectors are used to represent the different modes of the electromagnetic field in the general Fourier/momentum expansion.
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|5x-8|+5=32 how would i set this problem up to solve
Answers
You have the following expression:
\(\lvert5x-8\rvert+5=32\)subtract 5 both sides of the equation:
\(\begin{gathered} \lvert5x-8\rvert=32-5 \\ \lvert5x-8\rvert=27 \end{gathered}\)Take into account that the absolute value of any number is equal to the same number but positive.
Then, you have:
\(5x-8=-27\)and
\(5x-8=27\)Then, solve the previous equations:
5x - 8 = -27 add 8 both sides
5x = -27 + 8
5x = -19 divide by 5
x = -19/5
5x - 8 = 27 add 8 both sides
5x = 27 + 8
5x = 32 divide by 5
x = 32/5
Then, the solutions of the given equations are:
x = -19/5
x = 32/5
the
resistance R produced by wiring resistors of R1 and R2 ohms in
parallel can be calculated from 1/R=1/R1+1/R2. If R1 and R2 are
measured to be 7 ohms and 10 ohms respectively and if these
measureme
Answers
nts have an uncertainty of 0.1 ohms each, we can calculate the following:
(a) Calculate the resistance R when R1 and R2 are wired in parallel:
Using the formula 1/R = 1/R1 + 1/R2, we can substitute the given values:
1/R = 1/7 + 1/10
(b) Calculate the percent uncertainty in R1:
Percent uncertainty in R1 = (Uncertainty in R1 / R1) * 100
Percent uncertainty in R1 = (0.1 ohms / 7 ohms) * 100
(c) Calculate the percent uncertainty in R2:
Percent uncertainty in R2 = (Uncertainty in R2 / R2) * 100
Percent uncertainty in R2 = (0.1 ohms / 10 ohms) * 100
(d) Calculate the percent uncertainty in R:
To calculate the percent uncertainty in R, we need to consider the uncertainties in R1 and R2:
Percent uncertainty in R = (Percent uncertainty in R1 + Percent uncertainty in R2)
You can substitute the given values into the equations to calculate the desired values.
Note: The uncertainty in R is calculated by combining the uncertainties in R1 and R2. Since the formula for parallel resistance is an addition of terms, the percent uncertainties in R1 and R2 can simply be added.
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What is the wavelength of a sound wave with a frequency of 50 Hz and a speed of 340 m/s?
Answers
Heya!!
For calculate wavelength, lets applicate formula:
\(\boxed{\lambda = V/f}\)
Δ Being Δ
f = Frequency = 50 Hz
v = Velocity = 340 m/s
\(\lambda\) = Wavelenght = ?
⇒ Let's replace according the formula:
\(\boxed{\lambda = 340\ m/s / 50 \ Hz }\)
⇒ Resolving
\(\boxed{\lambda = 6,8\ m}\)
Result:
The wavelength is 6,8 meters.
Good Luck!!
In complete sentences describe the energy flow between the Sun, the Earth, and space
Answers
Explanation:
The amount of incoming energy from the Sun decides the weather and climate of earth. If the energy that is incoming and outgoing on the earth, then climate is in equilibrium. The balance is depending on the scattering, absorption, reflection and transformation of energy.
The energy from sun passes through space and reaches the earth’s surface. On reaching surface, the solar energy warms the atmosphere releasing heat energy which gets transferred throughout the planets system by radiation, conduction and convection. Conduction happens in the atmosphere within first several millimeters close to the surface. This heated air expands as it is dense and rises causing transfer of heat to atmosphere through convection process. It results in formation of clouds.
The radiant energy from sun is transmitted via space in form of invisible waves. But much of the suns radiant energy, is transmitted back to atmosphere. The objects on earth like land, plants, animals absorb radiant energy as heat of which one third gets re-radiated back to atmosphere that is absorbed by carbon dioxide and water vapor. The atmosphere radiates heat energy back to earth increasing the earth temperature. This trapping of radiation is greenhouse effect.
The thermal energy obtained by convection currents are responsible for wind, cloud formation, and weather formation. The hydrosphere that comprises of 70% of earth’s surface absorbs solar energy.
On the basis of the above explanation is:
The energy from the sun passes through space in the form of invisible waves to the earth surface. It heats up the earth’s surface causing variation in climate.
help me plz Your starting fitness level is known as__________. (10 points) a starting point b beginning level c baseline d entry level
Answers
Answer:
Would it be starting point?
Explanation:
When you start a sport or something, you may not be good or bad at it. However, as time goes on you are going to improve.
Idk if this helps or not buh yeah
Why are there only two elements in the first period of the periodic table?(1 point)
because the first two elements both start with H and are grouped together
because the next elements have other things in common and they need to be arranged together
because only two electrons can fit in the first orbit around the nucleus, and each period on the table is organized by number of orbits
because each row increases in atomic mass by a specific number, so anything over five is in the second row
Answers
Answer:
because each row increases in atomic mass by a specific number, so anything over five is in the second row.
A 75.0 kg log floats downstream with a speed of 1.80 m/s. Eight frogs hop onto the log in a series of inelastic collisions. If each frog has a mass of 0.30 kg and an upstream speed of 1.3 m/s, what is the change in kinetic energy for this system
Answers
The change in kinetic energy for this system is - 11.69 J.
What is the change in the kinetic energy of the system?
The change in the kinetic energy of the system is calculated by applying the following kinematic equation as shown below.
ΔK.E = K.Ef - K.Ei
where;
K.Ei is the initial kinetic energy of the systemK.Ef is the final kinetic energy of the systemThe initial kinetic energy of the logs and the frogs is calculated as follows;
K.Ei = ¹/₂ (75)(1.8²) + 8(¹/₂)(0.3)(1.3²)
K.Ei = 123.53 J
The final kinetic energy of the system depends on the final velocity of the system. The final velocity of the system after the collision is calculated as follows;
m₁u₁ + m₂u₂ = v (m₁ + m₂)
(75 x 1.8) + (8 x 0.3)(-1.3) = v (75 + 8 x 0.3)
135 - 3.12 = 77.4v
131.88 = 77.4v
v = 131.88 / 77.4
v = 1.7 m/s
K.Ef = ¹/₂(m₁ + m₂)v²
K.Ef = ¹/₂(75 + 0.3x8)( 1.7² )
K.Ef = 111.84 J
The change in kinetic energy = 111.84 J - 123.53 J = - 11.69 J
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Look at SS and answer
