Answer:
V = 192 kV
Explanation:
Given that,
Charge, \(q=6.4\times 10^{-6}\ C\)
Distance, r = 0.3 m
We need to find the electric potential at a distance of 0.3 m from a point charge. The formula for electric potential is given by :
\(V=\dfrac{kq}{r}\\\\V=\dfrac{9\times 10^9\times 6.4\times 10^{-6}}{0.3}\\\\V=192000\ V\\\\V=192\ kV\)
So, the required electric potential is 192 kV.
what is the force of a 20 kilo gram rock on earth
Answer: [Ans. 196 N] Was this answer helpful?
what SI units are combined to describe energy
Answer:
SI unit for energy is Joules.
in base units it will be:
1 J = 1 N·m = 1 kg·m²/s²
If the distance between two point charges is tripled, the mutual force between them will be changed by what factor?
If the distance between two point charges is tripled, the mutual force attraction between them will be reduced by a factor of 1 by 9th.
The square of the separation distance is inversely correlated with the electrostatic force which is the mutual force of attraction. F is therefore nine times smaller, or one-ninth the original value if the distance between the charges is made three times larger.
A point charge is defined as a charge which doesn't have any area or volume and hence it appears as a point.
The mutual force of attraction which is also referred to as the electrostatic force of attraction is defined as the force that exists between two charged particles in a 3D space.
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Determine the energy of the least energetic photon that can be absorbed by these atoms when initially in their ground state.
The energy of the least energetic photon that can be absorbed by these atoms when initially in their ground state is numerically equal to energy of the electron at that orbit.
What are energy levels of electron in an atom?In chemistry and atomic physics, an electron shell—also known as a fundamental energy level—is the orbit of one or more electrons around the atomic nucleus. The shell that is closest to the nucleus is the "1 shell," often referred to as the "K shell."
The shells that are farther and farther away from the nucleus are the "2 shell," also known as the "L shell," "3 shell," also known as the "M shell," and so on. Either the main quantum numbers (n = 1, 2, 3, 4) or the X-ray notation letters are used to designate the shells (K, L, M, N...).
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(10 points) A uniform magnetic field B has constant strength b teslas in the z-direction 11.0. B = (0,0,01 (a) Verity that A = Bxr is a vector potential for B, where r = {x,y,0) (b) Calculate the flux
(a) A = B × r is a vector potential for B, where r = {x, y, 0}.
(b) The flux through a surface S can be calculated as Φ = ∫B·dA, where B is the magnetic field and dA is an infinitesimal area vector perpendicular to the surface.
Determine the vector potential?(a) To verify that A = B × r is a vector potential for B, we need to show that ∇ × A = B.
Using the cross product property, we have ∇ × A = ∇ × (B × r). Applying the vector identity (A × B) × C = B(A · C) - C(A · B), we get ∇ × (B × r) = B(∇ · r) - r(∇ · B).
Since ∇ · r = 0 (as r = {x, y, 0}), and ∇ · B = 0 (as B has a constant magnitude in the z-direction), we find that ∇ × A = B, verifying A = B × r as the vector potential for B.
(b) The flux through a surface S can be calculated as Φ = ∫B·dA, where B is the magnetic field and dA is an infinitesimal area vector perpendicular to the surface.
Given that B has a constant strength b teslas in the z-direction, the flux through surface S will be Φ = ∫B·dA = ∫(0, 0, b) · (dxdy) = b∫dxdy = bA, where A is the area of the surface S.
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a. Discuss the 1) coastal engineering projects, 2) phases of a coastal engineering project. b. A wave is approaching perpendicular to the 500 m long breakwater. The incident wave is 1.5 m high and 30 m long. Estimate the height of the wave on 1) the back side of the breakwater at a distance of 250 m from one of the ends, 3) at a distance of 60 m from one of the edges along the time which is at a 60-degree angle with the breakwater. c. A wave in water that is 15 m deep has a period of 11 s and a height of 1.4 m. a) calculate the water particle velocity and the pressure at a point 0 m ahead of the wave crest and 2 m below the still water level, b) calculate the horizontal and vertical displacement of the water particle orbit at this point
Coastal engineering projects involve the design and construction of structures to manage and protect coastal areas from erosion, floods, and other natural hazards.
In a wave approaching perpendicular to a 500 m long breakwater, the height of the wave on the backside at a distance of 250 m from one of the ends can be estimated using wave transformation principles.
However, the height of the wave at a distance of 60 m from one of the edges along a 60-degree angle with the breakwater requires additional information, such as wave direction and wave transformation equations, to provide an accurate estimate.
For a wave in water that is 15 m deep with a period of 11 s and a height of 1.4 m, the water particle velocity and pressure at a point 0 m ahead of the wave crest and 2 m below the still water level can be calculated using wave theory equations. The horizontal and vertical displacement of the water particle orbit at this point can also be determined using the properties of wave motion and particle orbits.
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what is impossible to do with hypothesis
Answer:
Your correct answer is shown down below so that you know...
Explanation:
If you didn't know, a hypothesis is known as an educated guess that can be tested with observations and falsified if it really is false. You cannot prove conclusively that most hypotheses are true because it's generally impossible to examine all possible cases for exceptions that would disprove them.
Answer:
You cannot prove a hypothesis to be true
Explanation:
The spark plug of a motor bike does NOT work because the user did not use a torque wrench to tighten spark plug, instead he/she used a regular wrench. This is an example of? *
A. What is the RPN Number?
B. What are the potential Failure Modes?
C. What are the Potential Causes?
D. What are the Potential Effects?
This is an example of potential cause and effect. The potential cause is the improper use of tools, specifically using a regular wrench instead of a torque wrench to tighten the spark plug. The potential effect is the malfunctioning of the spark plug, leading to its failure to work properly.
Using the wrong tool, in this case, a regular wrench instead of a torque wrench, can lead to overtightening or undertightening of the spark plug. A torque wrench is specifically designed to apply a specific amount of torque or rotational force to tighten the spark plug to the manufacturer's specifications. Without using a torque wrench, it becomes challenging to achieve the correct tightness, which can result in a range of issues.
In the given scenario, the potential failure mode is the spark plug not functioning correctly, leading to the bike's engine not igniting properly. This can result in poor engine performance, misfires, or complete engine failure. Using the appropriate tools and following proper procedures is crucial to ensure the reliable and safe operation of mechanical components.
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How far apart are two charges if you know they each, are +2.0 C and the force between them is 8.5•10^8 N
The two charges would be 219.1 meters apart.
Distance between two chargesThe force between two charges is given by Coulomb's Law:
F = k * (q1 * q2) / r^2
where F is the force, k is the Coulomb constant (9.0 x 10^9 N*m^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.
In this case, we have two charges with a magnitude of +2.0 C each and a force of 8.5 x 10^8 N between them. Substituting these values into Coulomb's Law, we get:
8.5 x 10^8 N = (9.0 x 10^9 N*m^2/C^2) * [(2.0 C)^2 / r^2]
Simplifying this expression, we get:
r^2 = [(2.0 C)^2 * (9.0 x 10^9 N*m^2/C^2)] / (8.5 x 10^8 N)
r^2 = 4.8 x 10^4 m^2
Taking the square root of both sides, we get:
r = 219.1 meters
Therefore, the two charges are 219.1 meters apart.
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since the lens is made of protein what effect might the preserving fluid used in lab have on the structure of the lens? how would this affect the clarity?
The most common preserving fluid used is formaldehyde, which can crosslink the protein molecules and cause them to become more rigid. This can lead to changes in the shape of the lens, which can ultimately affect its clarity.
The preserving fluid used in the lab can have various effects on the structure of the lens. Additionally, preserving fluid can also cause the lens to become dehydrated, which can lead to shrinkage and distortion of the lens structure. Ultimately, the effect of the preserving fluid on the lens structure and clarity will depend on the specific type and concentration of the preserving fluid used, as well as the duration of exposure.
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A car is driving down a road in the early morning when a deer walks into the road. if the deer was 25 meters away when the driver noticed it and the car was traveling at 20 m/s, did the car strike the deer? assume instant reaction time and that the car has a braking acceleration of -8.33 m/s2.
For the auto now no longer to strike the deer, the minimal deceleration ought to be eight m / (s ^ 2) with a blended immediately drivers response took at the distance of 15 metres.
The given parameters are;
The distance farfar from the deer the auto turned into while the motive force notices the deer = 25 m
The velocity of the auto = 20m / s
Therefore, for the auto now no longer to strike the deer, the minimal deceleration of the auto ought to be from 20 ^ 2 / (2 * 25) = eight m/s² for a direct motive force response time
For a motive force response time of 0.five seconds, we have
Distance moved with the aid of using car = 0.five * 20 = 10 metersDistance moved with the aid of using car = 0.five * 20 = 10 meters
Minimum deceleration of the auto required = 20 ^ 2 / (2 * 15) =13. overline three m/s^ 2
Distance of the auto from the deer on the begin of deceleration = 25 - 10 = 15 meters.
Therefore, climate the deer is struck with the aid of using the auto relies upon at the drivers response time and deceleration of the auto.
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Laser light passing through two small slits produces a bright fringe centered at the midpoint on a distant screen because?.
Laser light passing through two small slits produces a bright fringe centered at the midpoint on a distant screen because the light waves travel the same distance from each slit to the midpoint.
Considering that light is composed of both electric and magnetic fields, it often acts as an electromagnetic wave. Magnetic fields oscillate perpendicularly to the wave propagation direction and are perpendicular to one another. They are called transverse waves as a result of this. The following are a few traits of light:
When dealing with light waves, the sine waveform is used. One complete sweep from 0 to 360 degrees makes up the waveform's period. The wavelength and frequency of light waves are two crucial properties. The wavelength is the distance separating the wave's peaks. Light waves have wavelengths that are on the order of nanometers.
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If you drop a steel ball weigh 4 kg from a height of 60 m will it fall more rapidly through water at 25°F or water at 45°F or will it make no difference
Answer: It will make no difference.
Explanation: For an object to float or sink in a fluid, there is a force called buoyancy force acting on it.
Buoyancy force is an upward force experienced by the object due to the fluid. Its magnitude is calculated by the formula:
\(B=\rho_{f}.V.g\)
where:
\(\rho_{f}\) is density of the fluid
V is volume of the object
g is gravity
The steel ball is free falling, so, there is gravitational force acting on it.
Since it is falling into the water as well, there will be buoyant force acting against the gravitational one. But none of the forces is dependent on water temperature so that variable won't change the falling.
So, temperature will make no difference.
Theo mixes cake batter and places it in the oven at 350°F for 45 minutes. Explain what type of reaction baking a cake represents in terms of energy.
Answer:
Baking a cake requires heat to be applied to the batter in order for it to cook and chemically change into cake. The energy or heat applied is absorbed by the ingredients, so this represents an endothermic reaction.
Explanation:
that's the sample answer, hope it helps
The batter needs to be heated in order to cook and chemically transform into a cake when it is baked. An endothermic reaction is taking place because the energy or heat applied is being absorbed by the constituents.
What is energy?The quantitative characteristic that is transferred to a body or a physical system in physics is referred to as energy. It manifests itself as heat and light, as well as the act of doing work. Energy is a resource that is conserved; it can only be changed from one form to another and cannot be created or destroyed, according to the law of conservation of energy. The SI unit of energy measurement is the joule (J).
According to the question, there are various types of reactions two of which are endothermic reactions and exothermic reactions.
In an endothermic lot of energy is absorbed and in opposition to the exothermic reaction lot of energy is released.
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Equipment such as chafing dishes, steam tables and heated cabinets designed to hold foods hot should at least keep food temperatures at _____ or hotter:
135°F (57°C)
140°F (60°C)
155°F (68°C)
165°F (74°C)
Equipment such as chafing dishes, steam tables and heated cabinets designed to hold foods hot should at least keep food temperatures at 140°F (60°C) or hotter. The correct answer is 140°F (60°C).
Food safety is a crucial aspect of any foodservice operation. Keeping hot correct food temperatures is essential in preventing the growth of harmful bacteria. The temperature range of 140°F (60°C) to 165°F (74°C) is considered the "danger zone" for hot foods, as this range allows bacteria to grow rapidly.
Therefore, equipment such as chafing dishes, steam tables, and heated cabinets designed to hold hot foods should maintain a minimum temperature of 140°F (60°C) or hotter.
This ensures that the food remains safe to eat and reduces the risk of foodborne illness. It is also important to check the temperature of the food regularly using a thermometer to ensure that it is being held at the correct temperature.
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What is the net force on a refrigerator that you push with an applied force of 125 N to the right and the (sliding) friction between the floor and the fridge is 95 N to the left? (b) As you increase the force applied to the fridge, will the friction force also increase? Explain. Hint: remember the force of friction between solid surfaces does not depend on speed
Answer:
hola
Explanation:
jffkbjkcvncncjcncjcjchchchcjcjcjcjcjckgmndjekbm hdfstfm mvndbfncn bdhwhgmvmch
tube 2 appears to have the same amount of starch digested as tube 3 because
Tube 2 and tube 3 contain amylase, starch, and pH 7.0 buffer. The reason why they appear to have the same amount of starch digested may be due to the fact that the pH of the buffer is maintained at 7.0 in both tubes.
The optimal pH for amylase is around 6.7-7.0, which means that the enzyme works best in a slightly basic environment. As both tubes have the same pH, the amylase enzyme in both tubes is able to effectively hydrolyze the starch substrate into simpler sugars, resulting in similar levels of starch digestion.
It is also possible that the amylase concentration or reaction time is controlled and standardized in both tubes, which would result in similar levels of starch digestion. In any case, further testing and analysis would be required to confirm the exact reason why tube 2 and tube 3 appear to have the same amount of starch digested.
The complete question is:
tube 2 (amylase, starch, pH 7.0 buffer) appears to have the same amount of starch digested as tube 3 (amylase, starch, pH 7.0 buffer) because
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if the initial height of the ball is 0.80 mm above the ground, how far does it travel in the horizontal direction before landing?
If the initial height of the ball is 0.80 mm above the ground, how far does it travel in the horizontal direction before landing: cannot be determined.
When a ball is thrown into the air, it follows a parabolic trajectory. When it comes down, it does so at the same velocity it had when it was thrown up, but in the opposite direction. During the flight of the ball, gravity constantly acts on it, causing it to move in a vertical and horizontal direction.
Therefore, the distance traveled by the ball in the horizontal direction can be determined using the following formulas:s = v0t where s is the horizontal distance traveled by the ball, v0 is the initial horizontal velocity of the ball, and t is the time taken by the ball to land.We have to assume that there is no air resistance, which is a common assumption in physics calculations.
The time it takes for the ball to land can be determined using the following formula:t = 2v0/ghere, h is the initial height of the ball above the ground, and g is the acceleration due to gravity, which is approximately 9.8 m/s2. Therefore, the horizontal distance traveled by the ball can be calculated as follows:s = v0 × (2h/g)
Now, let's apply the given values in the formula. Given that the initial height of the ball is 0.80 mm above the ground, it can be converted to meters as follows:h = 0.80 mm = 0.0008 m. Therefore, substituting the given values into the formula we get:s = v0 × (2 × 0.0008 m/9.8 m/s2) = 0.00001633v0.
Since we don't have any information about the initial horizontal velocity, we cannot determine the actual horizontal distance that the ball travels.
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What capacitor in series with a 100Ω resistor and a 25.0mH inductor will give a resonance frequency of 1000 Hz ? Express your answer in microfarads.
The capacitance of a capacitor in series with a 100 Ω resistor and a 25.0 mH inductor that would generate a resonance frequency of 1000 Hz is 0.399 µF.
Resonant frequency for a series RLC circuit is given by the expression f=1/2π√(LC). The values of C, L and f are given as 25.0 mH, 1000 Hz, and 100 Ω respectively. By substituting these values in the resonant frequency formula, we get 1000 = 1/2π√(C x 25.0 x 10⁻³).
Therefore, the capacitance can be found out as C = 1/[(2π x 1000)² x 25.0 x 10⁻³]C = 0.399 µF. Thus, a capacitor of 0.399 µF in series with a 100 Ω resistor and a 25.0 mH inductor would generate a resonance frequency of 1000 Hz.
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Describe seven physical properties that help distin-
guish one mineral from another.
Answer:
Color, Streak, luster, cleavage and fracture, hardness, crystal shape, and density.
Explanation:
In which of these reactions is energy released?
A. Exothermic reactions
B. No reactions
C. All reactions
D. Endothermic reactions
Answer:
exothermic reaction
Explanation:
Exothermic reactions are reactions or processes that release energy, usually in the form of heat or light. In an exothermic reaction, energy is released because the total energy of the products is less than the total energy of the reactants.
How do invasive species impact long term biodiversity in an economy?
Answer:
Invasive species alter and degrade the environment, and have a negative effect on both native species and the people who live and work there. The impacts of invasive species include: Reduced biodiversity. Decreased availability and quality of key natural resources.
Explanation:
Hope this helps!
The development and use of alternative energy source is very necessary in present day world. Explain this statement.
Answer:
In today's world pollution is very high so alternative energy such as solar energy help us to make pollution free world. So it is necessary to use alternative energy.
hey what is Krichoff rule
good morning
Explanation:
sorry I've got a bad hand writing but i think ull understand more with the screenshot that I've just pinned for u there
Answer:
this guy has answed ur question lol
An enclosure where one or more raceways or cables enter, and in which electrical conductors can be, or are, spliced.
A junction box is an enclosure where one or more raceways or cables enter, and in which electrical conductors can be, or are, spliced.
An enclosure housing electrical connections are known as an electrical junction box. Junction boxes shield the electrical connections from the elements and guard against unintentional electric shocks.
Cable connections are enclosed in electrical boxes, often called junction boxes. They aid in preventing short circuits, which can set fires off. The various varieties of electrical boxes, their components, and their uses are covered in this guide. They are available in a variety of sizes and forms to match your needs.
Since all that is required to make changes, repairs, or additions to a conduit is to remove the covering, junction boxes make Cable access simple. Additionally, junction boxes shield wiring from the environment and the elements, which can occasionally be corrosive or otherwise damaging to wiring material.
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If you wear knee pads while skating,It will take three times as long for you to come to rest when you fall and land on your knees. how does this affect the impulse applied to your knees when you fall?
The long time will decrease the velocity which will equally decrease the impulse applied to your knee.
What is impulse?
The impulse experienced by an object is the change in momentum of the object.
J = ΔP = m(v - u)
where;
J is impulseΔP is change in momentumm is mass of the bodyv is final velocityu is initial velocityv = distance / time
when time of fall becomes 3 times long, the final velocity becomes 3 times smaller
Since the velocity will be reduced, the impulse applied to your knee will decrease as well.
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If upper-level divergence exceeds surface convergence, the air pressure at the center of the low will ____, and the isobars will become ____ tightly packed.
If the upper-level divergence exceeds surface convergence, the air pressure at the center of the low will decrease, and the isobars will become more tightly packed.
Upper-level divergence refers to the horizontal movement of air moving away from a particular location at higher altitudes. This movement creates a region of lower air pressure at those altitudes. Surface convergence, on the other hand, refers to the horizontal movement of air towards a particular location at the Earth's surface, which leads to an accumulation of air and an increase in surface air pressure.
When upper-level divergence is stronger than surface convergence, it means that more air is moving away from the location at higher altitudes compared to the air moving towards the location at the surface. This results in a decrease in air pressure at the center of the low. To maintain equilibrium, the isobars, which represent lines of equal atmospheric pressure, become more tightly packed around the low-pressure center.
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after the switch is closed, which plate of the capacitor eventually becomes positively charged?
After the switch is closed, the plate of the capacitor that eventually becomes positively charged depends on the configuration of the circuit. There are two possible configurations: series and parallel.
Series Configuration:Therefore, in both series and parallel configurations, the plate connected to the positive terminal of the voltage source eventually becomes positively charged. The charge on the capacitor builds up gradually until it reaches its maximum value determined by the voltage source and the capacitance of the capacitor.
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Do quotas increase domestic price?.
An import quota will increase the domestic price and, in the case of a large country, reduce the foreign price.
A quota is a restriction to the amount entering a rustic. With no alternate, equilibrium marketplace price within the USA will exist on the charge which equates domestic demand and home delivery, at P, and with output at Q. However, the arena price is possible to decrease, at P1, then the rate in a rustic that doesn't exchange.
An import quota is a restriction on the total quantity of imports that can be brought into a country in a given time period. It is a non-tariff barrier.
The main advantage of a quota is that it keeps the number of imports unchanged even if demand for imported articles increases.
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(a) Calculate the initial momentum of each object and write the result in rectangular form.(b) Calculate the momentum of the combined mass after collision and write the result in polar form.(c) Calculate the final velocity after collision and write the result in polar form.
Given data:
Mass of ball is,
\(m_b=5.75\text{ kg}\)Magnitude of initial velocity of ball is,
\(v_{ib}=5.75\text{ m/s}\)Direction of initial velocity of ball with respect to x-axis is,
\(\theta=30^o\)Magnitude of initial velocity of embeds is,
\(v_{ie}=2.50\text{ m/s}\)Direction of initial velocity of embeds with respect to x-axis is,
\(\theta_e=140^0\)Formula of momentum is as follows:
\(\vec{P}=m\vec{v}\ldots(1)\)Initial momentum of ball,
Component of velocity of ball along x-axis is as follows:
\(v_{ibx}=v_{ib}\cos \theta\)Substitute known values above equation,
\(\begin{gathered} v_{ibx}=6.34\times\cos 30^o \\ v_{ibx}=5.49\text{ m/s} \end{gathered}\)Component of velocity of ball along y-axis is as follows:
\(\begin{gathered} v_{iby}=v\sin \theta \\ v_{iby}=6.34\times\sin 30^o \\ v_{iby}=3.17\text{ m/s} \end{gathered}\)Therefore, momentum of ball is as follows:
\(\begin{gathered} \vec{P}=m(v_{ibx}\hat{i}+v_{iby}\hat{j}) \\ \vec{P}=5.75\text{ kg(5.49}\hat{i}+3.17\hat{j}) \\ \vec{P}=(31.5675\hat{i}+18.2275\hat{j})kg\text{ }\cdot\text{ m/s} \end{gathered}\)Component of velocity of embeds along x-axis,
\(\begin{gathered} v_{iex}=v_{ie}\cos \theta_e \\ v_{iex}=2.50\times140^o \\ v_{iex}=-1.915\text{ m/s} \end{gathered}\)Component of velocity of embeds along y-axis,
\(\begin{gathered} v_{iey}=v_{ie}\sin \theta_e \\ v_{iey}=2.50\times\sin 140^o \\ v_{iey}=1.61\text{ m/s} \end{gathered}\)Initial momentum of embeds is as follows:
\(\begin{gathered} \vec{P}=m_e(v_{iex}\hat{i}+v_{iey}\hat{j}) \\ \vec{P}=3.85\text{ kg(}-1.915\hat{i}+\hat{1.61\hat{j}})\text{ m/s} \\ \vec{P}=(-7.37\hat{i}+6.20\hat{j})\text{ kg}\cdot\text{ m/s} \end{gathered}\)Part-B:
After collision if both objects are stick together, this type of collision is called plastic collision.
Momentum of system remains constant before plastic collision and after plastic collision.
Hence,
\(\vec{P}+\vec{P}_e=\vec{P}_f\)\(\text{Here }\vec{\text{P}}_f\text{ is momentum of combine mass after collision}\)Substitute known values in above equation,
\(\begin{gathered} \vec{P}_f=(31.5675\hat{i}+18.2275\hat{j})+(-7.37\hat{i}+6.20\hat{j})_{} \\ \vec{P}=(24.1975\hat{i}+24.4275\hat{j})\text{ kg}\cdot\text{ m/s} \end{gathered}\)Polar form of momentum of combined mass is as follows:
Magnitude of momentum of combined mass is as follows:
\(\begin{gathered} P_f=\sqrt[]{(24.1975)^2+(24.4275)^2} \\ P_f=34.38\text{ kg}\cdot\text{ m/s} \end{gathered}\)Direction of momentum of combined mass,
\(\begin{gathered} \theta_f=\tan ^{-1}\frac{P_{fy}}{P_{fx}} \\ \theta_f=\tan ^{-1}(\frac{24.4275}{24.1975}) \\ \theta_f=45^o \end{gathered}\)Polar form of momentum,
\(P_f=(34.38\text{ kg}\cdot m/s,45^o)\)Part-C:
Final velocity of system is as follows:
\(\begin{gathered} \vec{P}_f=m_c\vec{v} \\ (24.1975\hat{i}+24.4275\hat{j})kg\text{ }\cdot\text{ m/s =}(5.75\operatorname{kg}+3.85\text{ kg)}\vec{\text{ v}} \\ \vec{v}=(\frac{24.1975}{9.6}\hat{i}+\frac{24.4275}{9.6}\hat{j}) \\ \vec{v}\text{ =(2.52}\hat{\text{i}}+2.54\hat{j})\text{ m/s} \end{gathered}\)Magnitude of final velocity is as follows:
\(\begin{gathered} v=\sqrt[]{2.52^2+2.54^2} \\ v=3.58\text{ m/s} \end{gathered}\)Direction of final velocity with respect to x-axis,
\(\begin{gathered} \theta_{fv}=\tan ^{-1}(\frac{2.54}{2.52}) \\ \theta_{fv}=\tan ^{-1}(1.00) \\ \theta_{fv}=45^o \end{gathered}\)Polar form of final velocity,
\(v=(3.58m/s,45^o)\)