The value of m is approximately 0.793 kg.
To solve this problem, we'll use the formula for the frequency of a mass-spring system: f = (1 / 2π) * √(k / m), where f is the frequency, k is the spring constant, and m is the mass.
1. First, let's find the spring constant (k) using the initial frequency (0.88 Hz) and mass m:
0.88 = (1 / 2π) * √(k / m) => k = m * (0.88 * 2π)^2
2. Now let's find the spring constant (k) using the frequency (0.60 Hz) when the additional 600-g mass is added:
0.60 = (1 / 2π) * √(k / (m + 0.6)) => k = (m + 0.6) * (0.60 * 2π)^2
3. Since the spring constant (k) is the same in both cases, we can set the two equations equal to each other:
m * (0.88 * 2π)^2 = (m + 0.6) * (0.60 * 2π)^2
4. Solve for m:
m ≈ 0.793 kg
So the value of m is approximately 0.793 kg.
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the atmosphere is a compressible envelope of gas where pressure is ____ near the surface and ____ as you go up into the atmosphere.
The pressure near the surface of the atmosphere is high, while it decreases as you go up into the atmosphere.
The atmosphere is composed of various layers of gases surrounding the Earth. Near the surface, the pressure is relatively high due to the weight of the air above it. As you move higher into the atmosphere, the pressure decreases.
This change in pressure with altitude can be explained by the decreasing density of the air molecules as you ascend. The weight of the air above a particular point decreases as you move higher, resulting in lower pressure. This decrease in pressure is due to the fact that the atmosphere becomes less dense with increasing altitude.
The relationship between pressure and altitude in the atmosphere can be described by the barometric formula, which states that pressure decreases exponentially with increasing altitude. As a general trend, the pressure decreases by about half for every 5.6 kilometers (3.5 miles) of altitude gained.
Therefore, near the surface of the atmosphere, the pressure is relatively high, and it progressively decreases as you go up into the atmosphere.
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If you increase the size (linear dimensions) of an animal (such as a horse) by a factor of four, by what factor will the stress in the animal's legs change if its shape remains the same?
О 1 (stress remains the same)
О 16
О 1/2
О 1/4
О 4
О 2
О 1/16
О 64
O 1/64
The stress in the animal's legs increases by a factor of four. when the size of an animal increases by four times.
Young's modulus is a measurement of a material's capacity to endure changes in length when subjected to compression or tension along its length.
Young’s modulus = stress/strain
Y = S/(Δl/l)
If the size of an animal is increased by a factor of four,
The new Young's modulus is,
Yn = Sn/(4Δl/l)
equating equations,
Sn/(4Δl/l)=S/(Δl/l)
Sn = 4S
Hence, the stress in the animal's legs increases by a factor of 4.
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what is the average efficiency of an electric motor, compared to the 35 percent efficiency of an internal combustion engine
The direct answer to your question is that electric engines can be more than 80% efficient and even up to 90% efficient while combustion engines are 30 to 45% efficient.
Electric motors make vehicles substantially more efficient than internal combustion engines. Electric motors convert over 85 percent of electrical energy into mechanical energy, or motion, compared to less than 30 to 40 percent for a gas combustion engine.
These efficiencies are even lower after considering losses as heat in the drivetrain, which is the collection of components that translate the power created in an electric motor or combustion engine.
• Motor efficiency: 85..90%
• Battery load efficiency: 80..90 %
• Battery discharge efficiency: 80..90 %
• Power generation efficiency at power: 30..40 %
• Transfer efficiency from the powerplant to the reloading station: 90..95 %
• Energy conversion efficiency AC to DC: 90..95 %
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A person standing on the roof of a building drops a 0. 125 Kg ball on the ground. A
child on eight floor saw the ball passing with a speed of 33. 1 m/s. The first floor of the building
is 12. 0 m high and each successive floor is 8. 00 m high. Determine the total numbers of floors
in the building. How fast was the ball falling just before it hit the ground? What was its kinetic
energy just before it hit the ground?
A person standing on the roof of a building drops a 0. 125 Kg ball on the ground. A child on eight floor saw the ball passing with a speed of 33. 1 m/s. There are total eight floor in the building and he kinetic energy of the ball just before it hit the ground was 62.0 J.
To determine the total number of floors in the building, we can first calculate the distance the ball traveled before the child on the eighth floor saw it. We know that the ball was dropped from rest and the speed at which it was observed on the eighth floor was 33.1 m/s. We can use the equation for free fall:
\(h = (1/2)gt^2\)
Where h is the distance fallen, g is the acceleration due to gravity (9.8 m/s^2), and t is the time taken to fall. Rearranging the equation to solve for t, we get:
\(t = sqrt(2h/g)\)
Plugging in the height of the eighth floor (8 x 8 = 64 m), we get t = 3.2 s. This is the time taken for the ball to fall from the roof to the eighth floor.
To determine the total number of floors, we can use the height of the first floor (12 m) and the time taken for the ball to reach the ground from the eighth floor (t = 3.2 s). The distance traveled in this time can be found using the equation for constant acceleration:
\(d = vt + (1/2)at^2\)
Where d is the distance traveled, v is the initial velocity (which is zero in this case), a is the acceleration due to gravity (-9.8 m/s^2), and t is the time taken. Plugging in the values, we get:
d = 12 + 8(n-1) = 12 + 8n - 8 = 8n + 4
(Where n is the number of floors between the first and eighth floor)
Setting this equal to the distance traveled by the ball in 3.2 s (64 m), we get:
8n + 4 = 64
Solving for n, we get n = 7.5. Since we cannot have a fraction of a floor, we can round up to 8 floors. Therefore, the total number of floors in the building is 8.
To determine the speed of the ball just before it hit the ground, we can use the equation for free fall:
\(v^2 = u^2 + 2gh\)
Where v is the final velocity (which we want to find), u is the initial velocity (which is zero), g is the acceleration due to gravity (9.8 m/s^2), and h is the height from which the ball was dropped (which we assume to be the height of the building). Plugging in the values, we get:
v = sqrt(2gh) = sqrt(2 x 9.8 x 8 x 8) = 31.4 m/s
Therefore, the ball was falling at a speed of 31.4 m/s just before it hit the ground.
To determine the kinetic energy of the ball just before it hit the ground, we can use the equation:
\(KE = (1/2)mv^2\)
Where KE is the kinetic energy, m is the mass of the ball (0.125 kg), and v is the speed just before it hit the ground (31.4 m/s). Plugging in the values, we get:
\(KE = (1/2) x 0.125 x 31.4^2 = 62.0 J\)
Therefore, the kinetic energy of the ball just before it hit the ground was 62.0 J.
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If a bus is running with a speed of 72km HR calculate the distance traveled in 5 sec Hint acceleration due to gravity 10 meterper second square
Answer:
To solve this problem, we need to use the formula:
distance = initial velocity x time + 1/2 x acceleration x time^2
where:
initial velocity = 72 km/hour (we need to convert this to m/s to use it in the formula)
time = 5 seconds
acceleration = 10 m/s^2 (assuming this is the acceleration due to gravity)
Converting the initial velocity from km/hour to m/s:
72 km/hour = (72 x 1000 m) / (60 x 60 s) = 20 m/s
Now we can plug in the values into the formula:
distance = 20 m/s x 5 s + 1/2 x 10 m/s^2 x (5 s)^2
distance = 100 m + 1/2 x 10 m/s^2 x 25 s^2
distance = 100 m + 125 m
distance = 225 meters
Therefore, the distance traveled by the bus in 5 seconds is 225 meters.
NEED ASAP!! 23 POINTS!! Look at the pic above and tell me the velocity, distance and time. Thanks!
Answer:
Vp = 66.67 [mi/h]
Explanation:
To solve this type of problem we must remember that speed is defined as the relationship of space between time.
speed = distance/time
7)
v = speed = 100 [km/h]
distance = 750 [km]
time = distance/speed
time = 750/100
t = 7.5 [h]
8)
v1 = 200/3 = 66.67[mi/h]
v2 = 100/1.5 = 66.67 [mi/h]
Vp = average speed = (v1+v2/2)
Vp = (66.67 + 66.67)/2
Vp = 66.67 [mi/h]
answer is 9 Billion due to the decrease in Cactus
What must be true about two objects for conduction to take place?
For conduction to take place, two objects must have a difference in electric potential.Conduction is the movement of charges through a substance, such as metal or water, from a location of higher potential energy to one of lower potential energy.
The potential energy difference between two points in a circuit is what drives the current from one point to the other.A difference in electric potential, also known as a voltage, is required for conduction to take place. When there is a difference in potential between two points, charges will flow from the higher potential to the lower potential, resulting in an electric current flowing between the two points.
A conductor is a substance that allows current to flow through it. Metals, for example, are excellent conductors since they have free electrons that can move around. In comparison, insulators are substances that do not allow current to flow through them. Rubber, wood, and plastic are examples of insulators.Conduction occurs in a circuit when a voltage source is connected to a conductor, allowing the flow of electrons. As a result, the electrons will move through the conductor and create a current.
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what is voltage? please help
Explanation:
Voltage is the pressure pushing electrons through a power circuit. Express in volts
You can always search on go ogle to give you an easier answer.
how much work does gravity do on the mountain climber if they rappel down the mountain
The work done by a machine is always less then the work done on a
machine because of
Answer:
because of Friction is always present.
A little green moon person stands by the rim of a crater on the Moon, where
the freefall acceleration is 1.62 m/s2 and there is no air resistance. The crater
has vertical walls. To determine the depth of the crater, she drops a rock and
measures the time it takes for it to hit the bottom. If the depth of the crater is
120 m, after what time interval will the rock hit the floor of the crater?
Answer:
Time:
t = 12 s
Explanation:
Given:
g = 1.62 m/s
H = 120 m
V₀ =0 m/s
__________
t - ?
From the formula:
H = V₀·t + g·t² / 2
H = g·t² / 2
we find the time:
t = √ (2·H / g)
t = √ (2·120 / 1.62) ≈ 12 c
12 A car travels in a straight line at speed v along a horizontal road. The car moves
against a resistive force F given by the equation
F = 400+kv²
where F is in newtons, v in ms-1 and k is a constant.
At speed v = 15ms-1, the resistive force F is 1100 N.
a
Calculate, for this car:
i the power necessary to maintain the speed of 15ms-¹,
ii the total resistive force at a speed of 30 ms-¹,
iii the power required to maintain the speed of 30ms-¹.
Answer:
i) Power = Force * Velocity = 1100 * 15 = 16500 W = 16.5 kW(ii) Find the value of k first: F = 400 + k(15^2) k = 28/9 F = 400 +(28/9)(30^2) = 320
Explanation:
how does a new star form? place each stage in order from the beginning of star formation to star formation completion.
A new star forms through a process called stellar formation.
The stages in order from the beginning to completion:
1. Cloud Formation: A large cloud of gas and dust called a nebula is formed due to gravitational attraction between particles in space.
2. Condensation: The nebula begins to contract due to its own gravity, causing it to spin and flatten out into a disc.
3. Protostar Formation: As the cloud continues to shrink, the center becomes hotter and denser, eventually forming a protostar.
4. Nuclear Fusion: When the temperature in the core of the protostar reaches 15 million degrees Celsius, nuclear fusion begins. Hydrogen atoms combine to form helium, releasing a huge amount of energy in the form of light and heat.
5. Star Formation: The energy released from nuclear fusion creates pressure that counteracts the force of gravity. This results in a stable, fully-formed star.
So, a new star forms through the gradual process of cloud formation, condensation, protostar formation, nuclear fusion, and finally, star formation.
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a 22-a current flows into a parallel combination of 4.0 , 6.0 , and 12 resistors. what current flows through the 12- resistor? 7.3 a 11 a 18 a 3.7 a
The current flows through 12- resistor at: 3.7 A.
The current flowing through the 12-ohm resistor can be determined by using Ohm's Law. According to Ohm's Law, the current (I) is equal to the voltage (V) divided by the resistance (R). In this case, the voltage is 22 A, and the resistance is 12 ohms. Therefore, the current flowing through the 12-ohm resistor is 3.7 A.
To solve the problem, you can set up the equation I = V/R, where I is the current, V is the voltage, and R is the resistance. Since the voltage and resistance are given, the equation can be simplified to I = 22/12. Once the equation is solved, the answer is 3.7 A, which is the current flowing through the 12-ohm resistor.
To illustrate, imagine three pipes connected in parallel, with one pipe having a diameter of 4.0 cm, one pipe having a diameter of 6.0 cm, and the last pipe having a diameter of 12 cm.
If a certain amount of water is flowing through these pipes, the water flowing through the 12 cm pipe would be less than that of the other two, due to the larger resistance the 12 cm pipe provides. This analogy can be applied to electrical current, which is affected by the resistance of the resistor.
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in the game of tetherball, the struck ball whirls around the pole. in what direction does the net force on the ball point?
In the tetherball game, struck ball whirls around a pole. The vertical component of the tension balances the weight and the horizontal component of tension provides the centripetal force that points toward the center of the circle.
There are two forces acting on a tether ball as it is rotating in uniform circular motion. The force of tension acts along the rope while the weight acts in downward.
The ball will move in a circular motion due to centripetal force and the tether which keeps the ball linked to the pole pulling to the center. For centripetal force, the tether can be an actual object, like a chain, or it may be a force, like gravity that acts like a tether.
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how do light dependent reactions differ from the calvin cycle
Light-dependent reactions involve the conversion of light energy into chemical energy, while the Calvin cycle is a series of biochemical reactions that utilize the chemical energy produced in the light-dependent reactions to convert carbon dioxide into glucose.
During light-dependent reactions, light energy is absorbed by chlorophyll and other pigments in the thylakoid membranes of chloroplasts, resulting in the production of ATP and NADPH. These energy-rich molecules are then used in the Calvin cycle. The Calvin cycle, also known as the dark reactions or the light-independent reactions, takes place in the stroma of chloroplasts. It uses ATP and NADPH, along with carbon dioxide, to produce glucose through a series of enzymatic reactions.
In summary, light-dependent reactions capture light energy and convert it into chemical energy, while the Calvin cycle uses that chemical energy to fix carbon dioxide and produce glucose. These two processes work together in photosynthesis to convert light energy into usable chemical energy for the plant.
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You receive a severe, bleeding injury to your right toe! What circuit of the cardiovascular system is most affected?
A.Pulmonary circuit
B.·Systemic circuit
Answer: A
Explanation:
Pulmonary - is lungs
Systemic - is body system
How is an emulsion different from other colloids?
The difference between colloid and emulsion is that a colloid can form when any state of matter (solid, liquid or gas) combine with a liquid whereas an emulsion has two liquid components which are immiscible with each other.
Answer:
wrthfnhdghkyulyf
Explanation:
zdfhdfhghdhddddddddddddddddddddd
A UPS delivery man lifts a package of 250 N of force in lives at 2 m off the ground. How much work did he do
Work = Force x distance
Force = 250 N
distance = 2 m
Replacing with the values given:
W = 250 N x 2 m = 250 kg m / s^2 x 2m = 500 kgm^2/s^2 = 500 J
1 N = 1 kgm/s^2
1J= 1 kg m^2 /s^2
What velocity must a 1240 kg car have in order to have the same
momentum as a 3660 kg truck traveling at a velocity of 12 m/s to the
west?
Answer:
90
Explanation:
cause
Suppose an object is accelerated by a force of 100 N. Suddenly a second force of 100 N in the opposite direction is exerted on the object, so that the forces camel. The object... A)is brought to rest rapidly B) decreases gradually to rest C) continues with the velocity it had before the second force was applied D) is brought to rest and then accelerates in the direction of the second force
The opposite direction is exerted on the object, so that the forces camel The object is is brought to rest rapidly.
What is direction ?Direction is a term used to describe the way something is moving or pointing. It is often used in reference to the orientation of objects, or the path something is taking. Direction can be described in terms of three-dimensional coordinates, including length, width, and height. Direction can also be described in terms of four cardinal directions (north, south, east and west), and eight ordinal directions (north-east, south-east, south-west and north-west). Direction can also be expressed in terms of angles and compass bearings. Direction is an important part of navigation, and is used to calculate distances. It is also essential for planning journeys and understanding the environment.
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you measure the masses of five bricks to be: {3.5 kg, 3.2 kg, 3.8 kg, 3.4 kg, 5.5 kg}. what is the mean and standard deviation?
The mean and the standard deviation of the five measurements are 3.33kg and 1.038 kg respectively.
What is standard deviation?Standard deviation is a measure of the spread or dispersion of a set of data values. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. It measures how much variation or dispersion from the average exists in the data set. A higher standard deviation indicates that the data points are spread out over a larger range of values, while a low standard deviation indicates that the data points are clustered closely around the average. Standard deviation is a commonly used measure in statistics and is used to compare the variability of different data sets.
To find the mean and standard deviation of these five measurements, use the following formulas:
Mean = (sum of all measurements) / (number of measurements)
Standard deviation = sqrt((sum of squared differences from the mean) / (number of measurements - 1))
First, find the mean:
Mean = (3.5 + 3.2 + 3.8 + 3.4 + 5.5) / 5 = 3.88 kg
So the mean mass of the five bricks is 3.88 kg.
Next, we can find the standard deviation:
Calculate the differences from the mean for each measurement:
-0.38, -0.68, 0.92, -0.48, 1.62
Square each difference:
0.1444, 0.4624, 0.8464, 0.2304, 2.6244
Add up the squared differences:
4.308
Divide the sum by the number of measurements minus one:
4.308 / (5-1) = 1.077
Take the square root of the result:
sqrt(1.077) = 1.038
So the standard deviation of the five measurements is 1.038 kg.
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The interval during which the signals propagate down the bus and back is the ____. a. exponential backoff c. attenuation b. collision window d. bounce window
The interval during which signals propagate down the bus and back is known as the collision window.
This window is critical in detecting and resolving collisions that may occur when two or more devices attempt to transmit signals simultaneously on a shared medium. The collision window is determined by the length of the bus and the propagation speed of the signals. It is important to note that a collision may occur if two signals are transmitted during the same collision window. In this case, an exponential backoff algorithm is used to ensure that the devices wait for a random amount of time before attempting to retransmit. Therefore, understanding the collision window is crucial in ensuring effective communication in a network, especially when more than one device is connected to the bus.
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2. What is the equivalent resistance (total resistance) of the series circuit shown at left?
The equivalent resistance in the series circuit is 130 ohm.
What is resistance?Resistance is the opposition to current flow in a electrical circuit.
To calculate the equivalent resistance of the resistors the series circuit, we use the formula below.
Formula:
Rt = R₁+R₂+R₃..........Equation 1Where:
Rt = Equivalent resistanceR₁, R₂, R₃ = Resistance of all the resistors connected in seriesFrom the image,
Given:
R₁ = 10 ohmR₂ = 20 ohmR₃ = 100 ohmSubstitute these values into equation 1
Rt = 10+20+100Rt = 130 ohmHence, the equivalent resistance is 130 ohm.
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if a mechanic pushes A (0.1M2) with a force of 200N, what will be the pressure? Show your working
Answer:
Explanation:
Given:
A = 0.1 m²
F = 200 N
_________
p - ?
Pressure:
p = F / A
p = 200 / 0.1 = 2 000 Pa
A circuit has a current of 1. 2 A. If the voltage decreases to one-third of its original amount while the resistance remains constant, what will be the resulting current? 0. 3 A 0. 4 A 1. 2 A 3. 6 A.
If the voltage decreases to one-third of its original amount while the resistance remains constant. The resulting current will be 0.4 A.
What is current?The current is the stream of electrons flowing from positive terminal of the battery to the negative terminal so as to generate electricity.
The circuit has a current of 1.2 A.
When the resistance is constant, the voltage is proportional to current. According to the ohm's law,
V₂ / V₁ = I₂ / I₁
Substitute V for V₁ , V /3 for V₂ , 1.2 for I₁ , we get the resulting current,
I₂ = 0.4 A
Thus, the resulting current will be 0.4 A.
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Which statement best describes a primary difference between science and technology?
The scientific method is repeated over and over, but the design process is only performed once for each problem.
Science aids in the development of technology, but technology does not lead to improvements in science.
Science is concerned with gaining knowledge, while technology is concerned with usefully applying knowledge.
Science and technology are essentially the same.
The primary difference between science and technology is Science is concerned with gaining knowledge, while technology is concerned with usefully applying knowledge.
What is science?
Science is the knowledge about the natural world that is based on facts learned through experiments and observation.
What is technology?Technology is the application of scientific knowledge to the practical aims of human life or, as it is sometimes phrased, to the change and manipulation of the human environment.
Difference between science and technologyThe basic difference between science and technology is;
Science explores new knowledge methodically through observation and experimentation while Technology is the application of scientific knowledge for various purposes.
Thus, the primary difference between science and technology is Science is concerned with gaining knowledge, while technology is concerned with usefully applying knowledge.
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What is the voltage drop across the tungsten filament in a 100W light bulb? The resistance of the filament is
144 Q and a current of 0.833 A is flowing through it.
The voltage drop across the tungsten filament in a 100W light bulb is 120 volts.
How to find the voltage drop across the tungsten filament ?We can use Ohm's Law to find the voltage drop across the tungsten filament:
V = I * R
Where
V is the voltage drop I is the currentR is the resistanceSubstituting the given values, we get:
V = (0.833 A) * (144 Ω)
V = 120 V
Therefore, the voltage drop across the tungsten filament in a 100W light bulb is 120 volts.
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Which type of mirror always gives an erect and diminished image?
An image in a convex mirror is constantly upright and reduced. Convex mirrors are curved mirrors with a protruding reflective surface. The virtual picture is located behind the mirror.
An object having a reflective surface known as a mirror reflects light and creates an image of whatever is in front of it. Mirrors are frequently found in places like bathrooms, changing rooms, and automobiles. They can be produced in a variety of forms and from a number of materials, such as glass, metal, and plastic. Beyond self-care and adornment, mirrors have a wide range of uses. They are essential in scientific studies because they help to concentrate and magnify light in instruments like telescopes and microscopes. Mirrors are also used to produce stunning visual effects in architecture, art, and optical illusions. Overall, mirrors play a significant role in society and human life, serving both functional and artistic purposes.
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Two identical gliders slide toward each other on an air track. One moves at 2 m/s and the other at 1 m/s. If they stick together, where does the combination slides at? Why?
When the two gliders collide and stick together, the resulting combination will move at a velocity that is determined by the law of conservation of momentum. According to this law, the total momentum before the collision is equal to the total momentum after the collision, assuming no external forces act on the system.
The momentum of an object is given by the product of its mass and velocity. Since the gliders are identical, their masses are equal. Therefore, the total momentum before the collision is the sum of the individual momenta, which is (mass × velocity1) + (mass × velocity2). After the collision, the two gliders stick together, becoming a single object with a combined mass. Let's denote the mass of each glider as m. The combined mass of the two gliders is 2m. Since the gliders stick together, they will have a common velocity after the collision, which we'll call v.
Applying the law of conservation of momentum, we have:
(mass × velocity1) + (mass × velocity2) = (combined mass) × (common velocity)
Substituting the given values, we have:
(m × 2 m/s) + (m × 1 m/s) = (2m) × v
Simplifying the equation:
2m + m = 2m × v
3m = 2m × v
Dividing both sides by 2m:
3/2 = v
Therefore, the combination of gliders will slide at a velocity of 1.5 m/s. The resulting velocity is the average of the initial velocities, weighted by the masses of the gliders. In this case, since the gliders have equal masses, the resulting velocity is simply the average of their initial velocities.
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