Two balls of equal mass, moving with & speed of 3.0 m/s, for perfectly elastic collision, the final velocity of each ball is 1.5 m/s. For inelastic collision, the final velocity of each ball is -0.5 m/s and 6.5 m/s.
Given: Two balls of equal mass, moving with speed of 3.0 m/s
To find: Velocity of each after impact for inelastic and perfectly elastic collisions
Let the initial velocities of the two balls be u1 and u2 and final velocities after impact be v1 and v2 respectively.
In both cases, the total momentum of the system before the collision is
P1 = m u1 + m u2
Where m is the mass of each ball.
Using conservation of momentum, we have
P1 = P2
Where P2 is the total momentum of the system after the collision.
a) For inelastic collision, the balls stick together after collision, so their final velocity is the same.
Thus, we have
m u1 + m u2 = (m + m) v
Simplifying, we get
v = (u1 + u2)/2
Therefore, the final velocity of each ball is 1.5 m/s.
b) For perfectly elastic collision, the kinetic energy of the system is conserved, so we have
(1/2) m \(u1^{2}\) + (1/2) m \(u2^{2}\) = (1/2) m \(v1^{2}\) + (1/2) m \(v2^{2}\)
And also, conservation of momentum
m u1 + m u2 = m v1 + m v2
We can solve these equations simultaneously to get the final velocities
v1 = (u1 - u2)/2
v2 = (u2 - u1)/2
Therefore, the final velocity of each ball after perfectly elastic collision is
v1 = -0.5 m/s
v2 = 6.5 m/s (in the opposite direction)
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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!
Answer:
The answer is A) byee!!
Explanation:
with what threshold force would you have to pull the lower mass in order for the upper mass to start sliding relative to the lower mass?
To determine the threshold force you need to use the formula F=μsN, where F is the force, μs is the coefficient of static friction, and N is the normal force.
First, calculate the normal force by multiplying the mass of the upper block by the acceleration due to gravity. This will give you the force that is pushing the upper block down onto the lower block.
Next, multiply the coefficient of static friction by the normal force to get the threshold force. This is the minimum amount of force that you need to apply to the lower block in order to overcome the friction between the two blocks and get the upper block to start sliding.
So, the threshold force that you need to pull the lower mass with in order for the upper mass to start sliding relative to the lower mass is given by:
F=μsN
Where F is the threshold force, μs is the coefficient of static friction, and N is the normal force.
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what are the three field forces where distance is a factor in the strength of the force?
Field forces, such as gravitational, electric, and magnetic ones, can have an impact on a wide variety of objects and act over great distances.
Which three field forces exist?Gravitation, electromagnetic forces, the strong and weak forces found in atoms, and these four types of field forces are all present in the universe. The universe's four most fundamental forces are these four.
Due to the fact that gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, greater separation distance will result in weaker gravitational forces. The gravitational attraction between two objects therefore weakens as they are moved apart from one another.
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FILL THE BLANK. in the potable water treatment process, the purpose of chlorination involves ____.
The disinfecting the water by killing or Magnetism microorganisms such as bacteria or viruses. Chlorination is a common method used in potable water treatment plants to ensure the safety of drinking water.
Correct answer: Disinfection
Chlorine is added to water in a controlled amount to kill harmful microorganisms that can cause waterborne diseases. The disinfection process involves adding chlorine to the water, allowing sufficient contact time, and then neutralizing the excess chlorine before distribution. This process ensures that the water is safe to drink and free from harmful bacteria and viruses.
The use of chlorine in water treatment is effective in killing or inactivating a broad range of microorganisms, including bacteria, viruses, and parasites. It is a reliable and cost-effective method of disinfecting water to make it safe for consumption. However, it is important to monitor the chlorine levels in the water to ensure that it is safe for human consumption and does not pose any health risks.
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Daylon's family just bought a new puppy, and Daylon decided to take him for a walk. He put the puppy in a wagon and pulled the wagon along the sidewalk. From which of these reference points does the puppy appear to be moving? 1. Daylon 2. The wagon 3. The sidewalk 4. The puppy's collar
The puppy was not moving relative to Daylon, the wagon, or his collar.
He was moving relative to a point on the sidewalk.
Note that the puppy did NOT get his walk.
When a bar magnet is moved up and down through the center of a coil, then induced ___________ is produced in the circuit.
heat
light
sound
current
If f is the magnitude of the force on the test charge due to only one of the other charges, what is the magnitude of the net force acting on the test charge due to both of these charges?.
The net force acting on test charge is resultant of two force i.e., √2 F
The magnitude of force on test charge due to one charge Q is:
F = k qQ / r²
where k = 9 × 10^9
Similarly the force due to second charge will be:
F = k qQ / r²
Now both the charges of magnitude Q is present and it is pointed at right angle to each other then the force will be resultant i.e.,
F = √ F² + F² = F√2
Hence, net force acting on test charge is √2 F.
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A jetliner, traveling northward, is landing with a speed of 69 m/s. Once the jet touches down, it has 750 m of runway in which to reduce its speed to 5.1 m/s. Compute the average acceleration (magnitude and direction) of the plane during landing (take the positive direction to be northward).
The average acceleration of the jetliner during landing can be calculated using the formula:
average acceleration = (final velocity - initial velocity) / time
Initial velocity (u) = 69 m/s (northward)
Final velocity (v) = 5.1 m/s (northward)
Distance (d) = 750 m
First, we need to find the time taken (t) using the formula:
t = d / average speed
Average speed = (initial velocity + final velocity) / 2
Average speed = (69 m/s + 5.1 m/s) / 2 = 37.05 m/s
t = 750 m / 37.05 m/s = 20.26 s
Now we can calculate the average acceleration:
average acceleration = (v - u) / t
= (5.1 m/s - 69 m/s) / 20.26 s
≈ -3.469 m/s² (southward)
The average acceleration of the jetliner during landing is approximately -3.469 m/s² in the southward direction. This is calculated using the initial velocity of 69 m/s (northward), final velocity of 5.1 m/s (northward), and a distance of 750 m.
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Which substances are inorganic? Check all that apply.
C6H12O6
K2CO3
C4H10
C27H46O
Fe3O4
The major characteristic an organic compound has which an inorganic
compound doesn't have is the presence of carbon atoms in the molecule.
This helps us to differentiate the compounds into their respective divisions.
Inorganic compounds
K2CO3Fe3O4Organic compounds
C6H12O6C4H10C27H46OWe can observe that inorganic compounds lack carbon atoms which makes
the answer valid.
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Answer:
B and E because yk thats the asnwer
How would I find the average distance for this?
Answer:
Explanation:add them then divide them by 100 I think
A second pendulum made of brass keeps correct time at 10°C. How many seconds will it lose or gain per Day when the temperature of its surroundings rises to 35°C?
The brass pendulum will lose or gain approximately 0.0015 seconds per day when the temperature of its surroundings rises from 10°C to 35°C
Calculation on the pendulumThe time period of a pendulum is given by the formula:
T = 2π√(L/g)
where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity.
Since both pendulums have the same length and are located in the same gravitational field, their time periods are equal. Therefore, the time gained or lost by the brass pendulum due to the change in temperature can be calculated using the following formula:
ΔT = T × α × ΔT
where ΔT is the change in temperature, α is the coefficient of linear expansion of brass, and T is the original time period.
The coefficient of linear expansion of brass is approximately 19 × 10^-6 /°C.
Substituting the values given in the problem, we get:
ΔT = T × α × ΔT
= (2π√(L/g)) × (19 × 10^-6 /°C) × (35 - 10) °C
= 2π√(L/g) × (0.000019) × (25) °C
= 2π√(L/g) × 0.000475
Assuming a standard pendulum length of 1 meter, the time gained or lost by the brass pendulum can be calculated as follows:
ΔT = 2π√(L/g) × 0.000475
= 2π√(1/9.81) × 0.000475
≈ 0.0015 seconds
Therefore, the brass pendulum will lose or gain approximately 0.0015 seconds per day when the temperature of its surroundings rises from 10°C to 35°C.
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An Eider duck is flying Northeast at 25 m/s at an angle of 36.9 degrees to the ground (from the positive
X-axis). What are the horizontal and vertical velocities, respectively, of the duck's flight?
Answer:
Horizontal = 19.99212 m/s Vertical = 15.0151 m/s
Explanation:
Horizontal = Cos(36.9) x 25
Vertical = Sin(36.9) x 25
When you power walk, you get the same fitness workout as____________ , but it's much easier on the body.
Options:
A. Skipping
B. Galloping
C. Running
D. Sleeping
E. None of the above
Answer:
a skipping
Explanation:
this is for brainly
Power walking is much easier on the body and is the same fitness as running, so option c is correct.
What is Running?Humans and other animals may move quickly on foot by using the terrestrial locomotion technique known as running. All the feet are raised above the ground during the aerial phase of running (though there are exceptions). While walking, the center of gravity always vaults over the stance leg or legs in an inverted pendulum motion, the legs are mostly kept straight, and one foot is constantly in touch with the ground.
When you power walk then the heartbeats increase, and you can maintain it for a longer time, therefore, a power walk is more efficient for weight loss or fat loss than running.
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Pls help (look at picture below)
A. Controlled Variable.
I hope this helps!
given below are the symbols of 5 physical quantities, together with their si units (in parenthesis): v (v) i (a) r (unknown) l (m) d (m) experiments show that the relationship between these quantities is: based on this relationship, if we write the unit of r as , what are the values of p, q, and r?
Given the relationship between the physical quantities v, i, r, l, and d, if the unit of r is written as "ohm" (Ω), the values of p, q, and r can be determined. The value of p corresponds to resistance (R), q represents length (l), and r is the unknown quantity (R).
The given relationship between the physical quantities can be expressed as v = piqd^2/r. Based on this equation, we can identify the quantities and their corresponding symbols:
v represents voltage or potential difference (in volts, V).
i represents electric current (in amperes, A).
r represents resistance (unknown unit, to be determined).
l represents length (in meters, m).
d represents distance (in meters, m).
If we write the unit of r as "ohm" (Ω), we can equate the unit of resistance (R) with r. Therefore, p corresponds to resistance (R), q represents length (l), and r is the unknown quantity (R).
In summary, if the unit of r is written as "ohm" (Ω), the values of p, q, and r in the given relationship are resistance (R), length (l), and the unknown quantity (R), respectively.
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PLEASE HELP ME :( I've tried solving it many times but my teacher keeps saying its wrong i really need help
Answer:
The charge on each end of the wire produces what we call an electric field. The electric field makes negative electrons want to travel towards the positive end of the wire (the end with not enough electrons).
the answer is d because it's going to positive.
is am alright? let me know.
You're visiting the shark tank at the aquarium when you see a 2.5-m-long shark that appears to be swimming straight toward you at 2.1 m/s. part a what is the shark's actual speed through the water
The shark's actual speed through the water is 2.793m/s which is of a 2.5m long shark that appears to be swimming straight toward you at 2.1 m/s.
Given length of shark (L) = 2.5m
The apparent speed of shark swimming straight toward you (v') = 2.1m/s
We know that refractive index of water (n1) is = 1.33 and the Refractive index of air is (n12) = 1.00
The ray coming from the shark is diverged outward and refracted away from the norm at the tank's surface as.
The image distance sH of the shark's head from the tank's surface is connected to the image distance s'H, which is defined as s'H = (n2/n1)sH
Now separating s'H with respect to time for the shark's apparent speed : v' = ds'H/dt
v' = d/dt( n2/n1xsH)
v' = n2/n1xdsH/dt = n2/n1xv
v = n1/n2xv' = 1.33/1.00 x 2.1 = 2.793m/s
Hence the shark’s actual speed through the water is 2.7 m/s
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if you look around, you can see a couple more objects that might be good candidates for being other galaxies with their own star-forming regions. what are these objects called? g
Because of their conical appearance in ground-based photographs, these objects are known as the Orion Nebula and cone nebula.
What makes the Orion Nebula so unique?One of the most closely observed, photographed, and extensively researched astronomical objects is the Orion Nebula. The formation of stars & planetary systems from collapsing gas and dust clouds has been extensively studied by the nebula.
What makes it called the Orion Nebula?Because it is located in the winter sky's most prominent constellation, Orion the Hunter, the Orion Nebula (M42) has its name. Look below Orion's Belt, where his sword hangs, to locate the nebula. The center star will appear hazy to you because of your eyes alone.
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1. It takes 10 seconds for you to go to the cafeteria from the classroom and to
come back. Cafeteria is 20m away East to the classroom. What is your average
velocity?
Answer:
4 m/s East.
Explanation:
Velocity: This cam be defined as the rate of change of displacement. The unit of velocity is m/s.
From the question,
v = d/t...................... Equation 1
Where v = velocity, d = displacement, t = time.
Given: d = 20 m East, t = 5 seconds.
substitute into equation 1
v = 20/5
v = 4 m/s East.
Hence the average velocity = 4 m/s East.
What is the name of the shuttle with 134 successful launches
International space station is the mission of NASA. It has launched 134 successful space missions.
What is International Space Station ?International space station is a huge place in the space but in the close orbit with all possible facilities for astronauts , scientists and others
What is NASA ?The National Aeronautics and Space Administration (NASA) is an acronym for the National Aeronautics as well as Space Administration. NASA was established as a division of the United States government on October 1, 1958. NASA is just in charge of all research and technology related to aviation and space in the United States.
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proof the equation of motion third
The proof of third equation of motion is determined as v² = 2as + u².
What is the proof of third equation of motion?
The proof of third equation of motion is determined as follows;
The first equation is given as;
v = u + at
t = ( v - u ) /a
where;
u is the initial velocitya is the accelerationt is the time of motionThe formula for the average distance traveled by an object is;
s = (v + u)/2 x t
Expand the equation above as;
s = (v + u)/2 x (v - u)/a
s = (v² - u²) / 2a
2as = v² - u²
v² = 2as + u², proved
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A rounders ball is thrown with a velocity of 30 ms
−1
at a angle of 45
∘
to the horizontal Calculate a. the time it takes to reach its maximum height; [Ans: 2.16 s ] b. the total time taken to retum to its original level; [Ans: 4.32 s ] c. the maximum height reached; [Ans: 22.9 m ] d, the horizontal distance travelled. [Ans: 91.6 m ]
a. The time taken to reach maximum height is 2.16 s.
b. The total time taken to return to its original level is 4.32 s.
c. The maximum height reached is 22.9 m.
d. The horizontal distance travelled is 91.6 m.
Given information:
Velocity of ball = 30 ms⁻¹
Angle = 45° = π/4 rad
Gravity = 9.8 ms⁻²
To find:
a. The time taken to reach maximum height
b. The total time taken to return to its original level
c. The maximum height reached
d. The horizontal distance travelled.
a) The time taken to reach maximum height:
The time taken to reach maximum height can be calculated by using the formula as follows:
Time taken, t = (u sin θ) / g
Where,
u = Velocity of ball = 30 ms⁻¹
θ = Angle = 45° = π/4 rad
g = Acceleration due to gravity = 9.8 ms⁻²
Substitute the given values in the above formula:
t = (30 sin (π/4)) / 9.8
t = 2.16 s
b) The total time taken to return to its original level:
The time taken to reach the maximum height is equal to the time taken to return to its original level. Hence,
Total time taken = 2 x time taken to reach maximum height
Total time taken = 2 x 2.16
Total time taken = 4.32 s
c) The maximum height reached:
The maximum height reached can be calculated by using the formula as follows:
H = (u² sin² θ) / 2g
Where,
u = Velocity of ball = 30 ms⁻¹
θ = Angle = 45° = π/4 rad
g = Acceleration due to gravity = 9.8 ms⁻²
Substitute the given values in the above formula:
H = (30² sin² (π/4)) / (2 x 9.8)
H = 22.9 m
d) The horizontal distance travelled:
The horizontal distance travelled can be calculated by using the formula as follows:
D = u cos θ x t
Where,
u = Velocity of ball = 30 ms⁻¹
θ = Angle = 45° = π/4 rad
t = Total time taken = 4.32 s
Substitute the given values in the above formula:
D = 30 cos (π/4) x 4.32
D = 91.6 m
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How is the 12 volt potential difference of the car battery shared between the six heating
elements?
Answer:
To say we have a 12.0-V battery implies that its terminals have a 12.0-V likely contrast. At the point when such a battery moves charge, it puts the charge through an expected distinction of 12.0 V, and the charge is given an adjustment of potential energy equivalent to Δ U = q Δ V .
six cells
There are six cells to a 12 volt lead corrosive battery. A battery cell's greatest capacity to convey current (amps).
A 12 V lead-stockpiling battery comprises of six cells, each delivering roughly 2 V. The genuine standard cell potential is acquired from the standard decrease possibilities. In light of the positive and negative charges on the battery terminals, an electric potential contrast exists between them.A 6 cell lithium particle pack has an ostensible voltage of 21.6V to 22.2V and a most extreme charge voltage of 25.2 volts
Explanation:
One volt is the likely contrast between two focuses in an electric circuit when 1 joule of work is finished to move charge of 1 coulomb from one highlight other.A completely energized 12 volt battery ought to peruse at 12.6 volts on the multimeter. In the event that the perusing is lower than this, you'll need to accuse your battery of either a battery charger or by taking your vehicle for a drive.A 12 volt 105 AH battery can supply (under wonderful circumstances and to 100 percent release) 12 x 105, or 1260 Watt-hours (1.26 kWh).between 5 to 8 hoursThe short response is that a 200-watt sunlight based charger that creates 1 amp of current takes between 5 to 8 hours to charge a 12-volt vehicle battery totally.A 100Ah 12 volt profound cycle lead-corrosive battery can run a 100W ceaseless DC load for 6 hours whenever released to half as suggested. A 100Ah 12 volt lead-corrosive profound cycle battery could run a 100W evaluated AC food-blender for 7 hours with half Profundity of Release.Voltage contrast among An and B, VAB=(I1+I2)6=(2−1)6=6 volts.Find the force necessary to pull a 6 kg object 3 m/s2
Answer:
18 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 6 × 3
We have the final answer as
18 NHope this helps you
Lilly drove her car east for a total of 6 hours at a constant velocity. In one-third of that time, she drove 160 kilometers. What was her velocity?
Write your answer as a whole number.
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Answer: 160 km
Explanation:
Definition of displacement
Answer:
the moving of something from its place or position or the occupation by a submerged body or part of a body of a volume which would otherwise be occupied by a fluid
Explanation:
c:
Pierre cycles at 4 miles per hour and travels a distance of 13 miles. How long
does his journey take?
Answer:
His journey took him 3 hours 15 minutes.
Explanation: 4 miles every hour. So 1 hr is equal to 4 miles, 2 hrs is equal to 8 miles, 3 hrs is equal to 12 miles. Now he just has 1 miles left, and since it takes him a hour to cycle 4 miles, 60 divided by 4 is 15. Therefore, 1 mile is equal to 15 minutes.
Time = (distance) / (speed)
Time = (13 mi) / (4 mi/hr)
Time = 3.25 hr or 3hr 15min .
Determine time taken for temperature to fall from 65 to 55
The time taken for temperature to fall from 45°C to 35°C is 6.21 minutes when a liquid cools from 65°C to 55°C in 5 mins.
We can utilize Newton's Law of Cooling to tackle this issue. It expresses that the pace of progress of temperature of an article is corresponding to the distinction in temperature between the item and its environmental elements.
Utilizing this regulation, we can compose:
(dT/dt) = - k(T - Ts)
where dT/dt is the pace of progress of temperature, k is the cooling steady, T is the temperature of the fluid, and Ts is the temperature of the environmental elements.
To begin with, how about we track down the cooling steady. From the given data, we know that the fluid cools from 65°C to 55°C in 5 mins. Subsequently, we can compose:
-10 = - k(65 - 35)
k = 0.5
Presently, we can utilize this worth of k to make the opportunity taken for temperature to decrease from 45°C to 35°C. We want to tackle:
(dT/dt) = - 0.5(T - 35)
with introductory condition T(0) = 45.
Isolating factors and coordinating the two sides, we get:
ln|T - 35| = - 0.5t + C
Utilizing the underlying condition T(0) = 45, we get:
ln|10| = C
C = 2.303
Subbing this worth of C, we get:
ln|T - 35| = - 0.5t + 2.303
Taking dramatic on the two sides, we get:
|T - 35| = e^(- 0.5t+2.303)
Settling for T = 35°C, we get:
t = 6.21 minutes.
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The complete question is:
A liquid cools from 65°C to 55°C in 5 mins. If the surrounding temperature is 35℃, calculate the time taken for temperature to fall from 45°C to 35°C.
metal object is earthed by connecting it to ......
Answer:
ii) Insulating materials that gain electrons when rubbed become negatively charged. c) An electric current is a flow of charge. d) An isolated metal object that is initially uncharged will gain charge if it is brought into contact with a charged object. e) A metal object is earthed by connecting it to the ground.
Explanation:
hope this helps you :)
A 16-g ball at the end of a 1. 4-m string is swung in a horizontal circle. It revolves once every 1. 09 s. What is the magnitude of the string's tension?.
The stress exerted on the string as it swings in a horizontal circle is 6.56 Newton. frequency is 1/1.09 = 0.92 Hz, and f is 1. (2L) × √T/m\s0.92 = 1/2(1.4) (1.4) (T)/4 multiply everything by 4 ((T/16) 0.92 = 0.36)
3.68 = 1.44 × √T \s √T = 3.68/1.44 = 2.56 \s T = 2.56² = 6.56
Describe a magnitude example."How much of a quantity" is how the word "magnitude" is defined. The magnitude, for instance, can be used to describe a comparison of the speeds of a car and a bicycle. Additionally, it can be used to describe how far an object has traveled or how much of an object is represented by its magnitude.
Are size advantages?The energy released at the earthquake's epicenter is measured in magnitude. Seismograph readings are used to calculate magnitude. The magnitude of the shaking caused by an earthquake is measured by its intensity. The impact on humans is used to gauge intensity.
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