The statement that the objects' kinetic energy after the collision is equal to their total kinetic energy before the collision is false in this case.
In a collision between two objects, the total kinetic energy of the system is not always conserved. This is particularly true in inelastic collisions, where the objects stick together after the collision. In an inelastic collision, there is a transfer of kinetic energy to other forms such as deformation energy, sound, or heat. As a result, the total kinetic energy of the system decreases.
In the given scenario, Object 1 and Object 2 are moving towards each other with different velocities. When they collide, they stick together and move as a combined object. Due to the sticking together, there is a transfer of kinetic energy between the objects.
Before the collision, Object 1 has a kinetic energy of (1/2)mv1^2, and Object 2 has a kinetic energy of (1/2)m2v2^2, where m1 and m2 are the masses of the objects, and v1 and v2 are their respective velocities. The total kinetic energy before the collision is the sum of these individual kinetic energies.
After the collision, when the objects stick together, they move with a common velocity. The combined object now has a mass of (m1 + m2). The kinetic energy of the combined object is (1/2)(m1 + m2)v^2, where v is the common velocity after the collision.
Since the objects stick together, the magnitude of the common velocity is generally less than the relative velocities of the individual objects before the collision. As a result, (1/2)(m1 + m2)v^2 is generally less than (1/2)m1v1^2 + (1/2)m2v2^2. Therefore, the total kinetic energy after the collision is less than the total kinetic energy before the collision.
Hence, the statement that the objects' kinetic energy after the collision is equal to their total kinetic energy before the collision is false in this case.
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What is an essential characteristic of an object in equilibrium?
1) zero velocity
2) zero acceleration
3) zero potential energy
4) zero kinetic energy
Answer:
2) zero acceleration
Explanation:
Motion can be defined as a change in the location (position) of a physical object or body with respect to a reference point.
This ultimately implies that, motion would occur as a result of a change in location (position) of an object with respect to a reference point or frame of reference i.e where it was standing before the effect of an external force.
Mathematically, the motion of an object is described in terms of time, distance, speed, velocity, position, displacement, acceleration, etc.
In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.
Generally, an object is said to be in equilibrium when neither the energy possessed by the object not state of motion changes with respect to time. Thus, the vector sum of all the forces acting upon an object that's in equilibrium is zero.
In conclusion, an essential characteristic of an object in equilibrium is zero (0) acceleration because there's no change in its velocity with respect to time.
5. Look at the equations for maximum height, time of flight and
range. Check the dimensions of each of these, by putting them
into the equations.
The dimension of maximum height is M.
The dimension of time of flight is T.
The dimension of range of projectile is M.
What is the maximum height of a projectile?
The maximum height reached by a projectile is the highest vertical height attained by the projectile.
H = u² sin²θ / 2g
where;
u is the initial velocityθ is the angle of projectiong is acceleration due to gravityThe unit of maximum height is meters, so the dimension will be M.
The time of flight of a projectile is the total time spent in air by a projectile.
T = 2usinθ / g
The unit of time of flight is seconds, and the dimension will be T.
The range of a projectile is given as;
R = u² sin(2θ) / g
The unit of range of a projectile is meters and the dimension is M.
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A car is driving down the road at a constant speed. Identify a possible pair of balanced forces that allow this condition to continue. What happens to this pair and to the car when you step on the brake?
When you step on the brake, you apply an external force to the car, which changes the balanced forces acting on it. The force of the brake pads rubbing against the wheels creates a frictional force that acts in the opposite direction to the car's motion. This force opposes the car's forward motion and reduces its speed
What happens to a car when you step on the brake?
When a car is driving down the road at a constant speed, the two balanced forces acting on it are:
The force of the engine or motor propelling the car forward.The force of air resistance or drag acting on the car in the opposite direction.These two forces are equal in magnitude and opposite in direction, so they balance each other out, allowing the car to maintain a constant speed.
As the car slows down, the force of air resistance or drag becomes stronger than the force of the engine or motor, resulting in a net force that acts in the opposite direction to the car's motion. The car eventually comes to a stop.
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What separates musical theater from other dance styles?
Answer: Musical theater is like acting in a musical.
Explanation: Other dance styles don't involve singing.
How do x ray measurements help us measure the amount of dark matter in galaxy clusters?
The temperature of the darc spaces can sometimes hike to extremely hot temperatures. Some amount of energy due to trapping matter inside is liberated and turned into light which can be seen in X-rays.
What are x-rays?
A piercing type of high-energy electromagnetic radiation is called X-radiation. The majority of X-rays have a wavelength between 10 picometers and 10 nanometers, which equates to frequencies between 30 petahertz and 30 exahertz.
X-ray scans show that a galaxy cluster's intergalactic region is extremely hot. This is due to the fact that the intergalactic medium, also known as the intergalactic media, is primarily composed of heated, ionized hydrogen with traces of heavier elements like silicon, carbon, and oxygen.
Instruments to detect X-rays must be transported to high altitudes by balloons, sounding rockets, and satellites since X-radiation is absorbed by the Earth's atmosphere.
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I need some help with this.
\(I = \frac{V}{R} \\ \)
Thus :
\(I = \frac{160}{2} \\ \)
\(I = 80 \: \: A\)
So :
\(V = 160\)
\(I = 80\)
\(R = 2\)
discuss the statistical nature of the clausius statement of the second law that energy cannot go spontaneously from a colder to a hotter body. under what conditions is the statement applicable? in what sense is this statement incorrect?
It is true that clausius statement of the second law states that energy cannot go spontaneously from a colder to a hotter body.
What is second law of thermodynamics and what is clausius statement of the second law of thermodynamics?Second law of thermodynamics is the law stating that heat and energy are interconvertible and is transferred from one form to another.Clausius statement of the second law of thermodynamics states the same but it also states that energy and heat cannot be transferred from colder to hotter body.It simply justifies that heat cannot be transferred from hot reservoir to cold reservoir at any cost.The condition under which the clausius statement is true is that the entropy change should be greater or equal to zero.Hence if entropy change is zero or greater than zero then clausius statement is truly justified.To know more about thermodynamics visit:
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consider a rlc circuit that consists of a 1 kw resistor in series with a 7 mf capacitor and a 130 mh inductor. a) what is the frequency that results in the maximum current passing through the circuit?
The frequency that results in the maximum current passing through the circuit is 5,278 Hz.
The resonance frequency of a series RLC circuit is given by:
f = 1 / (2π√(LC))
f = 1 / (2π√(LC))
f = 1 / (2π√(130 x \(10^{-3}\) x 7 x \(10^{-6}\)))
f = 1 / (2π√(0.910 x \(10^{-9}\)))
f = 1 / (2π x 0.00003018)
f = 5,278 Hz
An RLC circuit is an electrical circuit that consists of a resistor (R), an inductor (L), and a capacitor (C) connected in series or parallel. These components are called passive components because they do not add energy to the circuit but rather store or dissipate energy. The behavior of the RLC circuit depends on the values of the resistor, inductor, and capacitor, as well as the frequency of the applied voltage.
When a voltage is applied to the RLC circuit, the current flowing through the circuit is governed by the interplay between the three components. The resistor opposes the flow of current, the inductor stores energy in the form of a magnetic field, and the capacitor stores energy in the form of an electric field. At certain frequencies, the RLC circuit can resonate, meaning that the energy stored in the inductor and capacitor is exchanged back and forth, leading to a large amplitude of current and voltage in the circuit.
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With a class 1 lever, does mechanical advantage increase or decrease as the fulcrum is moved closer to the load? Explain why.
Answer:
L1 F1 = L2 F2 explains balancing torques
F1 = load = counterclockwise torque
F2 = applied force - clockwise torque
L represents distances from fulcrum to the applied forces
F2 = F1 * (L1 / L2) (I)
MA mechanical advantage = (L2 / L1) load over applied force
We can rewrite equation (I) as
load force / applied force = applied distance / load distance
As the fulcrum is moved closer to the load L1 decreases and L2 increases which corresponds to an increase in MA
Mike drops a rock from the top of a suspension bridge. If the rock falls for 4.88 seconds,
how high is the bridge?
This question involves the concepts of the equations of motion in vertical direction.
The height of the bridge is "116.8 m".
We will use the second equation of motion in vertical direction to find out the height of the bridge.
\(h=v_it+\frac{1}{2}gt^2\\\\\)
where,
h = hieght = ?
vi = initial speed = 0 m/s
t = time taken = 4.88 s
g = acceleration due to gravity = 9.81 m/s²
Therefore,
\(h=(0\ m/s)(4.88\ s)+\frac{1}{2}(9.81\ m/s^2)(4.88\ s)^2\)
h = 116.8 m
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PSYCHOLOGY QUESTION
Give a brief description of the factors involved in understanding the etiology of a disease
PLEASE NEED ANSWER ASAP
Answer:
Not sure what yours looking for but When a disease is widespread, epidemiological studies investigate what associated factors, such as location, swx, exposure to chemicals and many others, make a population more or less likely to have an illness, condition, or disease thus helping determine its etiology.
Answer:
Some anxiety disorders have different symptoms and it is important to figure out how those symptoms develop. Symptoms may develop from physiological, psychological, or environmental influences. Physiological factors may include heredity, chemical and hormonal imbalances, gender (females are more prone to anxiety than males), and anxiety sensitivity, which has to do with how one’s body reacts to chemical changes. Psychological influences focus on how one’s mind reacts to fearful situations. Environmental factors also influence how individuals deal with fearful situations. Environmental stress levels, how we think or interpret situations, and our observations of how others react to similar situations all impact how we manage anxiety.
Explanation:
You throw a 0.5 kg ball with a force of 10 N. What is the acceleration of the ball?
Answer:
20m/s^2
Explanation:
F=ma, therefore 10N = 0.5kg * a. Solve for a.
Which unit is equivalent to meters per second?
A: Hz ⋅ s
B: Hz ⋅ m
C: s/Hz
D: m/Hz
The unit that is equivalent to meters per second is m/Hz.
The correct option is D: m/Hz
The unit equivalent to meters per second is D: m/Hz. Meters per second (m/s) is a unit of speed or velocity, representing the distance traveled (in meters) divided by the time taken (in seconds) to travel that distance. Hertz (Hz) is a unit of frequency, which measures the number of cycles per second. When you divide meters (m) by Hertz (Hz), you get the distance traveled per cycle, which is equivalent to meters per second. This unit is commonly used in physics to measure the velocity or speed of an object. It is important to note that the reciprocal of this unit, Hz/m, is also a valid unit for measuring velocity. Thus, the correct answer is D: m/Hz.
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A basketball player jumps straight upward. After 0,625 s, she is 0.441 m above the ground. What is her initial velocity?????????
Answer:
v₀ = 3.77 [m/s]
Explanation:
This problem can be solved in a simple way by means of the following equation of kinematics.
\(y=y_{o}+v_{o}*t+\frac{1}{2}*g*t^{2}\)
where:
y - yo = 0.441 [m]
Vo = initial velocity [m/s]
g = gravity acceleration = 9.81 [m/s²]
t = time = 0.625 [s]
\(0.441 = v_{o}*(0.625)-\frac{1}{2} *9.81*(0.625)^{2} \\2.357 = v_{o}*0.625\\v_{o}=3.77[m/s]\)
Note: The sign of the acceleration is negative since the movement of the basketball player is against of the gravity acceleration.
assume that a ball of charged particles has a uniformly distributed negative charge density except for a narrow radial tunnel through its center, from the surface on one side to the surface on the opposite side. also assume that we can position a proton anywhere along the tunnel or outside the ball. let fr be the magnitude of the electrostatic force on the proton when it is located at the ball's surface, at radius r. as a multiple of r, how far from the surface is there a point where the force magnitude is 0.31fr if we move the proton in the following ways?
The point where the magnitude of the electrostatic force on the proton is 0.31fr is located approximately 0.709r away from the surface of the ball, along the radial tunnel.
The electrostatic force between two charged particles is given by Coulomb's law, which states that the force (F) is directly proportional to the product of the charges (q₁ and q₂) and inversely proportional to the square of the distance between them (r). Mathematically, it can be expressed as F = k * (q₁ * q₂) / r², where k is Coulomb's constant.
In this case, the proton is located at various positions along the radial tunnel inside the ball, and the force on the proton is 0.31 times the force at the surface of the ball (fr). Let's denote the distance from the surface of the ball to the point where the force is 0.31fr as d.
As the proton moves along the tunnel, the distance between the proton and the charge distribution changes. At the surface of the ball, the distance is r (the radius of the ball), and at the point where the force is 0.31fr, the distance is (r + d) (the radius of the ball plus the distance d).
Using Coulomb's law, we can set up the following equation:
0.31fr = k * (q_proton * q_ball) / (r + d)²
Rearranging the equation to solve for d, we get:
d = (0.31fr * (r + d)²) / (k * q_proton * q_ball)
Since d appears on both sides of the equation, we need to solve for d iteratively. We can start with an initial guess for d (e.g., d = 0), calculate the right-hand side of the equation, and then update the value of d accordingly. We repeat this process until we converge to a value of d that satisfies the equation.
Once we have the value of d, we can divide it by r to get the distance as a multiple of r. In this case, the resulting value of d/r is approximately 0.709, which means the point where the force magnitude is 0.31fr is located approximately 0.709 times the radius of the ball away from the surface, along the radial tunnel.
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A tennis ball is thrown straight up into the air with an initial velocity of 12.7 m/s. How high does the tennis ball travel?
Answer:
8.22m
Explanation:
As interpreted from this problem, the angle of launch is 90 degrees as it is thrown straight up. Given an angle launch of 90°, upward initial velocity of 12.7m/s, and initial height of 0m. A much simpler equation can be used to find the maximum height.
\(h_{max} = h_ {0} + \frac{{v_0}^{2} }{2g}\)
this means that the max height is equal to the initial height plus the initial velocity squared divided by 2 times the acceleration of earth's gravity(≈9.8m/s^2 or 10m/s^2 depending on how you fix it).
when substituted into the equation, you should get.
(9.8m/s^2)
hmax = 0 + ((12.7)^2)/(2*9.8)
hmax = 161.29/19.6 ≈ 8.22
hmax = 8.22m
If you and your friend are playing tug of war and both are you are pulling with the same amount of force. What will happen?
Answer:
Nothin will move, it will stay the same since no force is greater than the other. it's "the same amount of force" which also means an equal amount of force
Explanation:
The forces are only equal if there is no acceleration (which in the game of tug of war, accelerating yourself and your opponent is the idea). If the force on the rope and the ground are both equal either nothing moves or some other force is being applied in the system.
Hope this helped!
Difference between crest and trough
Answer:
The highest surface part of a wave is called the crest, and the lowest part is the trough. The vertical distance between the crest and the trough is the wave height. The horizontal distance between two adjacent crests or troughs is known as the wavelength.
I hope it's helpful!
Sound a variety of resonance tubes. The frequency of each tube is found on the side of the tube. What is the relationship
between the length of the tube and the pitch of the note it plays?
The relationship between the length of a resonance tube and the pitch of the note it plays is that a longer tube produces a lower pitch, while a shorter tube produces a higher pitch. This is due to the way the frequency of sound waves changes with the length of the tube.
To explain further, the frequency of a sound wave is related to its wavelength and the speed of sound. When you sound a variety of resonance tubes, each tube resonates at a specific frequency, which is determined by the length of the tube. As the tube length increases, the wavelength of the sound wave increases, resulting in a lower frequency and hence, a lower pitch. Conversely, when the tube length decreases, the wavelength decreases, leading to a higher frequency and a higher pitch.
This phenomenon can be observed in musical instruments like the organ or the flute, where longer tubes produce deeper, lower-pitched sounds, and shorter tubes produce higher-pitched sounds. It is important to note that other factors, such as the material of the tube and the method of sound production, can also affect the pitch and tone of the note. However, the general relationship between tube length and pitch remains consistent across various types of resonance tubes.
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Calculate the rotational kinetic energy of the earth about its own axis. Mass of the earth =6×1024kg and radius of the earth =6400 km.
The value of rotational kinetic energy is 8.196*10 22, if Mass of the earth =6×1024kg and radius of the earth =6400 km.
To calculate the rotational kinetic energy of the Earth about its own axis, we need to use the formula: Rotational Kinetic Energy (K) = (1/2) * I * ω² Where: I is the moment of inertia of the Earth ω is the angular velocity of the Earth
The moment of inertia (I) of a solid sphere rotating about its axis is given by: I = (2/5) * M * R² Where: M is the mass of the Earth R is the radius of the Earth Given: Mass of the Earth (M) = 6 × 10^24 kg Radius of the Earth (R) = 6400 km = 6,400,000 meters
First, let's calculate the moment of inertia (I): I = (2/5) * M * R² = (2/5) * (6 × 10^24 kg) * (6,400,000 meters)² Next, we need to calculate the angular velocity (ω). The Earth completes one full rotation in approximately 24 hours, which is equal to 24 * 60 * 60 = 86,400 seconds.
ω = 2π / T = 2π / (86,400 seconds) Now, we can substitute the values into the formula for rotational kinetic energy: K = (1/2) * I * ω² K =8.196*10 22.
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A ladybug is resting on a 0.5 meter radius turntable that is rotating with a period of 2 seconds. The ladybug is halfway between the center and the edge. Use this information for the questions in this section.
What is the tangential distance travelled by the ladybug in one revolution?
What is the tangential velocity of the ladybug?
What is the angular distance traveled by the ladybug after one revolution?
What is the angular velocity of the ladybug?
(a) The tangential distance travelled by the ladybug is 1.57 m.
(b) The tangential velocity of the ladybug is 0.785 m/s.
(c) The angular distance traveled by the ladybug after one revolution is 0.5π radians.
(d) The angular velocity of the ladybug is 3.14 rad/s.
What is tangential distance travelled?
The tangential distance travelled by the ladybug is calculated as follows;
d = 0.5 ( 2πr )
d = ( πr )
d = π x 0.5 m = 1.57 m
The tangential velocity of the ladybug is calculated as follows;
v = d / t
where;
d is tangential distancev = ( 1.57 m ) / ( 2 s )
v = 0.785 m/s
The angular distance traveled after after one revolution is calculated as follows;
2πr = 1 rev
2π x ( 0.25) = 1 rev
1 rev = 0.5π radians
The angular velocity of the ladybug is calculated as follows;
v = ωr
ω = v/r
ω = 0.785 m/s / 0.25 m
ω = 3.14 rad/s
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Considering Einstein's famous equation, E=mc2, which of the following statements is true?
A) Mass can be turned into energy, but energy cannot be turned back into the mass.
B) It takes a large amount of mass to produce a small amount of energy.
C) A small amount of mass can be turned into a large amount of energy.
D) You can make mass into energy if you can accelerate the mass to the speed of light.
E) One kilogram of mass represents 1 joule of energy.
C) A small amount of mass can be turned into a large amount of energy. This is the principle behind nuclear reactions and the development of nuclear energy.
E=mc2 is Einstein's equation that connects energy (E) to mass (m) and light speed (c). According to this definition, energy is determined by multiplying an object's mass by its square of the speed of light. This formula emphasises the relationship between mass and energy.
The equation demonstrates how a little bit of mass may yield a lot of energy. The figure "c," which stands for the speed of light, is enormous—it is roughly 3 x 108 metres per second. This value gains considerably more significance when squared.
Because the speed of light is such a huge number, it produces a massive quantity of energy when multiplied by the mass of an object, even a modest amount of mass. This phenomenon is seen in nuclear reactions, where a sizable amount of energy is released but only a small portion of the mass of the atomic nuclei is changed. This idea underlies the operation of nuclear power plants and nuclear weapons.
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If we have a new moon today, when we will have the next full moon?
in about 6 months
in about a month
in about 2 weeks
in about 1 week
If we have a new moon today, we will have the next full moon in about 2 weeks.
What is the time difference between a new moon and the next full moon?The midpoint of the cycle (half of 30 = 15) is marked by the full Moon, which occurs approximately 15 days (14.8 to be exact) following the new moon. Similar to the New Moon phase, the Moon is once again in alignment with the Earth and Sun during full moon.
However, this time, the Moon is on the other side of the Earth, thus the full area of the Moon that is illuminated by the Sun is facing us. Immediately following this brief interval, visibility starts to decline.
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What happens when a high pressure air mass follows a cold front? 1. Warm and dry 2. Warm and humid 3. Cool and dry 4. Cool and humid
Lifted warm air ahead of the front produces cumulus or cumulonimbus clouds and thunderstorms.
When a cold front approaches, the heavier (denser) cool air pushes beneath the lighter (less dense) warm air, causing it to climb into the troposphere. Cumulus or cumulonimbus clouds and thunderstorms are produced by lifted warm air ahead of the front.
When a cold, dense air mass pushes beneath a warm, lighter air mass, causing the warm air to rise, a cold front forms. The cold air moves forward, displacing the warm air at the surface. As moisture in the warm air mass rises, cools, and condenses, rain and thunderstorms can form.
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Meteoric material dates the formation of the solar system at about_____ billion years.
According to meteoric material, the solar system was formed around 4.6 billion years ago.
What substance makes up a meteorite?With just trace levels of sulphide and carbide minerals, they are primarily composed of iron-nickel metal. Many asteroids melted during the radioactive element decay in the early solar system, and the iron they carried, being dense, sank to the centre to create a metallic core.What is the term for meteorite metal?Meteoric iron, also known as meteoritic iron, is a native metal and a protoplanetary-disk remnant from the early universe that is found in meteorites. It is mostly composed of the metals iron and nickel, primarily in the crystalline phases kamacite and taenite.learn more about meteorite here
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Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high temperature of 77∘F occurs at 6 PM and the average temperature for the 24-hour time period is 59∘F . Find the temperature at 7 AM to the nearest tenth of a degree.
At 7 AM (13 hours after 6 PM), the temperature would be close to the average temperature of 59°F, which can be approximated to 65.9°F.
What is the approximate temperature at 7 AM?The temperature over a 24-hour period can be modeled using a sinusoidal function, given that the high temperature of 77°F occurs at 6 PM and the average temperature is 59°F.
To find the temperature at 7 AM, we need to consider the characteristics of a sinusoidal function. In this case, the function represents a single day, with the peak temperature at 6 PM and the average temperature over the 24-hour period.
Since a sinusoidal function repeats itself every 24 hours, we can infer that the low temperature would occur 12 hours after the high temperature. Therefore, at 7 AM (13 hours after 6 PM), the temperature would be close to the average temperature of 59°F, which can be approximated to 65.9°F.
To gain a deeper understanding of sinusoidal functions and their applications in modeling temperature variations over time, it would be beneficial to explore topics such as periodic functions, trigonometry, and mathematical modeling.
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a tennis ball is dropped from 1.0 m, bounces off the ground, and rises to 0.85 m. what kind of collision occurred between the ball and the ground?
Answer:
Inelastic collision
Explanation:
In the question, it states that when the ball bounced off the ground, it lost 0.15m. This means that it yielded some kinetic energy. Which is an inelastic collision.
1. A particle moving with uniform acceleration in a straight line was first observed to be moving at 9m/s. After 20s, it was moving at 13.6m/s. Find its acceleration. 2. A train accelerates to a speed of 40m/s over a distance of 300m. Determine the acceleration (assume uniform) of the train. 3. A bus from at rest accelerates uniformly over a time of 6.50 seconds and covers a distance of 30m. Determine the acceleration of the bus.
Answer:
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Which is an example of a solution?
OA.
flour and water
B.
sand and water
C.
salt and water
D.
oil and water
E.
ice and water
Answer:
C
Explanation:
plato
Answer:
c. Salt and Water
Explanation:
if a particle's speed increases by a factor of 3, by what factor does its kinetic energy change? k2k1 = nothing
By changing its kinetic energy, a particle's speed rises by a factor of 9 when the speed of the particle increases by a factor of 3 so K₂/K₁ = 9.
As per the question given,
The kinetic energy of a particle is given by the formula:
K = (1/2)mv²
where m is the mass of the particle and v is its velocity.
If the speed of the particle increases by a factor of 3, then the new velocity is 3 times the initial velocity:
v₂ = 3v₁
The new kinetic energy is given by:
K₂ = (1/2)m(3v₁)² = 9(1/2)mv₁² = 9K₁
where K₁ is the initial kinetic energy.
Therefore, the kinetic energy changes by a factor of 9 when the speed of the particle increases by a factor of 3.
In other words: K₂/K₁ = 9
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