Place the little mass at either x = 68.28 mm or x = 11.72 cm. Detailed explanation: We'll call the little mass m and its location on the x-axis y. The starting point is a 20 kilogram sphere.
What does the word "sphere" mean?
In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is denoted by the letter r, and the specified point represents its center.
A spherical item is what?
Any spherical object having all points on its surface equally spaced from its center, whether it be a hollow sphere or a round solid. Furthermore, a spherical object lacks any faces. Additionally to
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A transverse wave on a rope is given by y(x,t)= (0.750cm)cos(π[(0.400cm−1)x+(250s−1)t]).Find- A) Amplitude- B) Period- C) Frequency- D) Wavelength- E) Speed of propagation- F) Is the wave traveling in the +x- or − x-direction?- G) The mass per unit length of the rope is 0.0500 kg/m. Find the tension?- H) Find the average power of the wave (Watts)?
A transverse wave n a rope is given by y(x,t)=(0.750cm)cos(π[(0.400cm−1)x+(250s−1)t]), the amplitude is 0.750cm, the time period of wave is 8m/s, Frequency is 0.125 Hz, average power of the wave is Watts.
The amplitude of a wave corresponds to its maximum oscillation of the wave itself.
In our problem, the equation of the wave is
y(x,t)=(0.750cm)cos(π[(0.400cm−1)x+(250s−1)t])
We can see that the maximum value of y(x,t) is reached when the cosine is equal to 1. When this condition occurs,
y(x,t)=(0.750cm) which is the amplitude of the wave.
A transverse wave is a wave in which the disturbance in the medium is perpendicular to the propagation of the wave. The time period of the wave is the time taken in completing one oscillation about the mean position.
The standard wave is given as,
y(x,t) = Acos(kx+t)
Comparing the standard wave to the wave given in question.
We find out the time period is 0.025 s.
Frequency = 1/T= 40
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a 0.25 kg object on the end of a spring moves simple harmonic motion. the spring constant is 200 n/m. the total energy of the system is 6.0 j. determine the amplitude.
A 0.25 kilogram object just on end of the a spring moves in simple harmonic motion with an amplitude of 18.75 cm. 200 n/m is the spring constant.
Why do we use amplitude?Amplitude modulation, or AM, is now utilized for two-way radio communication for aircraft at VHF frequencies and for audio transmission on the long, medium, and short wave bands. Due to the use of superior modulation techniques, it is only used in a very small number of other applications.
Angular velocity ω = 2π / T where T is time period of rotation .
= 2 x 3.14 / .34
= 18.47 rad /s
energy = 1/2 m ω²Α²
6 = .5 x 18.47² x A²
A² = 0.035176
A = .18753
= 18.75cm
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A teacher had her students write down hypotheses about an experiment. Which is a valid hypothesis?
The valid hypothesis is If Earthquakes occur, then tornados could occur at the same time.
What is a hypothesis?
A hypothesis is an explanation proposed for a phenomenon. The scientific method needed a hypothesis to be testable in order to be considered a scientific hypothesis.Scientists usually base scientific hypotheses on previous observations that cannot be adequately explained by existing scientific theories.In an experiment, a hypothesis is used to illustrate the relationship between two variables.The goal of a hypothesis is to find an answer to a question. A formalized hypothesis forces us to consider what results we should expect from the experiment. The independent variable is the first variable.A valid hypothesis is that if an earthquake occurs, tornadoes may follow.To know more about hypothesis, click the link given below:
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since the moon's orbit is not a perfect circle, the earth-moon distance varies slightly. when it is closest to earth, the moon is 363,104 km away. its farthest distance from earth is 405,696 km. this variation in distance is responsible for annular eclipses. how many times larger does the moon appear in our sky when it is closest to earth as compared to when it is farthest?
subtract the two When the moon is closest to earth, it appears in our sky 1.12 times larger than when it is farther away. Because the moon's orbit is not a perfect circle, the earth-moon distance changes slightly.
What does the name Earth actually mean?Contrary to popular assumption, Earth does not have a recognized name in other countries. Simply put, the term "Terra" refers to a typical misunderstanding of the planet's scientific name.
What is Earth a planet?Our home planet, Earth, is a unique place. The only site in the cosmos where life has been proved to exist is on Earth, which is the third planet from the sun. Earth is our solar system's fifth-largest planet with a radius of 3,959 miles.
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NASA launches a satellite into orbit at a height above the surface of the Earth equal to the Earth's mean radius. The mass of the satellite is 480 kg. (Assume the Earth's mass is 5.97 1024 kg and its radius is 6.38 106 m.)
3 hours 59', 5,590 m/s, 1,910 N, The only force operating on the satellite is merely the attracting force from Earth, which is provided by the Universal Law of Gravitation, which disregards the influence of any other entity.
Which three laws of gravitation are there?The force of gravity between two things is proportional to the square of the mass of one of the items. The force of gravity between two objects triples if one of their masses triples.
What is the law of gravity?Any particle of matter will gravitate toward any other particle in the universe, according to Newton's law of gravitation, with a force that varies directly with the product of the masses and inversely with the square of the distance between them.
Fg = G* ms*me / (res² (1)
where: G = 6.67* 10⁻¹¹ N.m² / kg² ms = 780 kg, me= 5.97* 10²⁴ kg, and
res = 2* 6.38* 10⁶ m
Fg = 1,910 N (answer c)
G* ms*me / (res)²= ms * v² / res
v = √(G*me/r) = 5,590 m/s (answer b)
T = 2* π*res / v = 3 h 59 min (answer a)
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the radius of the earth's very nearly circular orbit around the sun is 1.5×1011m.
The earth's orbital radius around the sun is. One revolution takes a certain amount of time. the days into seconds conversion The earth's orbital radius around the sun is given. Velocity is the orbit's circumference measured over time with a single resolution.
What does the elliptical orbit of the Earth entail?The Earth's orbit is not a perfect circle. Its shape is elliptical or marginally oval. This shows that Earth is nearer to the Sun at one point in its orbit than it is at another.
What does a circular orbit look like?Planets orbiting the Sun, moons orbiting big planets, and satellites are examples of situations where there is circular motion with a much bigger core body. They both move at the same speed.
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you are riding your bike on a track that forms a vertical circular loop. if the diameter of the loop is 10.0 m, what is the minimum speed required for you to make it around the loop?
The minimum speed required for you to make it around the loop is 7 m/s.
The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).
The vector quantity velocity (v), denoted by the equation v = s/t, quantifies displacement (or change in position, s), over change in time (t).
F net = Fc = Fg + Fn
⇒ m v²/r = mg [Fn = 0]
⇒ v = √ 5 × 9.8 [d = 10m, radius = 5m]
⇒ v = 7 m/s
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Even though one layer exerts a force on another, it is the NET force (from the layers above and below) that determine the acceleration of a given layer. That in turn determines how the velocity of the layer changes. Re call that if the velocity of an object is in same direction as Net force and acc., then the object speeds up, and if opposite direction, then the object slows down.
The net force acting on a given layer is the sum of the forces exerted by the layers above and below it.
The acceleration of the given layer is then determined by this net force, as well as the mass of the layer.
The acceleration of the layer will be in the same direction as the net force, and the magnitude of the acceleration will be proportional to the magnitude of the net force divided by the mass.
what is net force?
Net force is the vector sum of all forces acting on an object. It is the total amount of force being applied to an object and is calculated by adding all the individual forces together.
Therefore, The net force acting on a given layer is the sum of the forces exerted by the layers above and below it.
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Two point charges q1 and q2 are held in place 4.50 cm apart. Another point charge -2.30 μC of mass 5.00 g is initially located 3.00 cm from each of these charges (the figure(Figure 1)) and released from rest. You observe that the initial acceleration of -2.30 μC is 314 m/s2 upward, parallel to the line connecting the two point charges. Find q1 and q2.
The values of charge for q₁ and q₂ are 5.715 × 10⁻⁸ C and -5.715 × 10⁻⁸ C, respectively.
What is Charge?Electric charge is the physical property of any matter which causes it to experience a force when it is placed in an electromagnetic field.
The acceleration is upwards. Therefore, the charge will be accelerated upwards and it is attracted by charge q₁ and repelled by q₂. Therefore, the q₁, is positive charge and q₂, is negative charge.
The net force for the following case will be,
Fq₁Q + Fq₂Q = 0
kq₁ Q/ r² = - kq₂ Q/ r²
q₁ = -q₂
The net force is,
Fnet = ma
F net = (5.50 × 10⁻³ kg) (304 m/s²)
Fnet = 1.672 N
The triangle is an isosceles triangle and the value of the angle is,
cos θ = -2.25 cm/ 3cm
θ = cos⁻¹(-2.25 cm/ 3cm)
θ = 41.4°
The force equation is,
F net = kq₁ Q/ r² cos θ + kq₂Q/ r²cos θ
ma = kq₁ Q/ r² cos θ + kq₂Q/ r²cos θ
1.672 N = 2 (9×10⁹) (1.95×10⁻⁶ c) / (3×10² m)² × cos (41.4°)
q₁ = (1.672 N) (3×10² m)²/ (9 × 10⁹) (1.95×10⁻⁶ c) cos (41.4°)
q₁ = 5.715×10⁻⁸ C
Since,
q₂ = -5.715 × 10⁻⁸ C
Therefore, the charge q₁ and q₂ are 5.715 × 10⁻⁸ C and -5.715 × 10⁻⁸ C, respectively.
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the relative enrichment in what isotope in venus' atmosphere is evidence of a significant loss of water over time?
The isotope that is relatively enriched in Venus' atmosphere is deuterium, or hydrogen-2.
This is evidence of a significant loss of water over time, as deuterium is heavier than regular hydrogen, and therefore it would be more likely to be lost to space than lighter hydrogen atoms.
What is deuterium?
Deuterium is an isotope of hydrogen with a nucleus that contains one proton and one neutron.
It is also known as heavy hydrogen or hydrogen-2, and is twice as heavy as the more common protium isotope of hydrogen.
Deuterium is used in nuclear reactors and is also a key component in heavy water, which is used in some types of nuclear reactors.
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a block has an acceleration a when pulled by a string. if two blocks are glued together and pulled with twice the original force ,their acceleration will be
two blocks are glued together and pulled with twice the original force ,their acceleration will be
When a block is being dragged by a string the acceleration won't change.
When a block is being dragged by a string, it accelerates. Two identical blocks will accelerate if they are cemented together and dragged with two times the initial amount of force. As a result, even if the mass and force are both doubled, the acceleration won't change. According to the Second Law of Newton, if a force F is applied to a mass m object, the acceleration will be given by the formula a = F/m. Two identical blocks will have a mass of 2m if they are cemented together. The acceleration will be 2F/2m = F/m = a with a force of F.
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what are the magnitudes of the angular velocity, the radial acceleration and the tangential acceleration of a spaceship taking a circular turn of raius 3240 km
The angular velocity of a spaceship taking a circular turn of radius 3240 km is equal to the circumference of the circle divided by the time it takes to complete the turn, or 2πr/t.
What is circumference ?
Circumference is the distance around the outside of a circle or other curved shape. It is calculated by taking the diameter of the circle and multiplying it by pi (approximately 3.14).
It is also sometimes referred to as the perimeter of a circle. Circumference is an important measurement in geometry, allowing us to calculate the area of a circle, or the distance between two points on a circle. It can also be used in practical applications such as determining the size of a wheel or the capacity of a container.
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correct answer iss a ??
Answer:
a
Explanation:
your right maybe
how does the de broglie wavelength of an electron change if its momentum increases?
a. The de Broglie wavelength of the electron increases.
b. The de Broglie wavelength of the electron decreases.
c. The de Broglie wavelength of the electron is unchanged.
If the momentum increases, the De Broglie wavelength of an electron will increase. The correct answer is A.
The de Broglie wavelength of a particle is inversely proportional to its momentum. As the momentum of an electron increases, the de Broglie wavelength of the electron decreases.
The de Broglie wavelength of a particle is related to its momentum and its mass, with the equation λ = h/p, where h is Planck's constant and p is the momentum of the particle. Increasing the momentum of an electron will decrease its de Broglie wavelength, as the momentum and the wavelength are inversely proportional.
This is because the de Broglie wavelength of a particle is related to the uncertainty of its position, and as the momentum increases, the uncertainty of the position decreases, thereby decreasing the de Broglie wavelength.
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a 2 kg block held 3 meters above the equilibrium position of a spring. if the block is released and falls such that it compresses the spring a maximum distance of 0.25 m below the equilibrium position, what is the spring constant of the spring?
Spring constant = (2 kg)(9.81 m/s²) / 0.25 m = 785.2 N/m.the equilibrium position, what is the spring constant of the spring.
what is equilibrium ?
Equilibrium is an important concept in economic theory and refers to a state in which economic forces such as supply and demand are balanced and in the absence of external influences the values of economic variables will not change. In economic terms, equilibrium occurs when the amount of goods and services supplied by firms equals the amount of goods and services that households are willing and able to buy.
This is also known as market equilibrium. In this situation, the price of goods and services will remain stable and market participants will not have a strong incentive to change their behavior. Equilibrium is also important in other fields such as physics and chemistry.
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the condition ∑ fi = 0 is sufficient to assure that a rigid body is in equilibrium. T/F
The statement "The condition ∑ fi = 0 is sufficient to assure that a rigid body is in equilibrium." is False.
What is the condition of translational equilibrium?The condition that the vector sum of all forces acting on a rigid body is zero (∑ fi = 0) is necessary but not sufficient to assure that a rigid body is in equilibrium. This condition is known as the condition of translational equilibrium. A rigid body can be in a state of translational equilibrium, but still be rotating or accelerating.
To assure that a rigid body is in equilibrium, we need to satisfy both the condition of translational equilibrium and the condition of rotational equilibrium which means that the net torque acting on the body is zero.
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An attack helicopter is equipped with a 20-
mm cannon that fires 197 g shells in the
forward direction with a muzzle speed of
576 m/s. The fully loaded helicopter has a
mass of 3980 kg. A burst of 187 shells is fired
in a 5.01 s interval.
What is the resulting average force on the
helicopter?
Answer in units of N. Answer in units of
N.
The resulting average force on the helicopter is 457,580.8 N.
What is the resulting average force on the helicopter?
The resulting average force on the helicopter is calculated by applying Newton's second law of motion as follows;
Mathematically, the formula for Newton's second law of motion is given as;
F = ma
where;
m is the total mass of the objecta is the acceleration of the objectF = ( mv / t )
where;
m is the total mass of the helicopterv is the muzzle speed of the cannont is the time of interval in which the shell is firedThe resulting average force on the helicopter is calculated as follows;
F = ( 3980 x 576 ) / ( 5.01 )
F = 457,580.8 N
Thus, the resulting average force on the helicopter is a function of the mass of the helicopter, muzzle speed of the cannon and the time interval in which the shell was fired.
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11. A helium atom (mass = 4m) moving with speed v collides elastically with a deuterium (hydrogen 2)
atom (mass = 2m) at rest. Calculate the percentage change in the kinetic energy of the helium atom
after the collision.
a. 11%
b. 36%
c. 50%
d. 89%
A helium atom (mass = 4m) moving with speed v collides elastically with a deuterium (hydrogen 2) atom (mass = 2m) at rest. The percentage change in the kinetic energy of the helium atom after the collision is 50%.
What is kinetic energy?Generally, This is because in an elastic collision, kinetic energy is conserved, and the total kinetic energy of the system is the same before and after the collision.
The helium atom has twice the mass of the deuterium atom, so it has half the velocity after the collision.
Since kinetic energy is given by 1/2mv^2, the velocity is squared, so a decrease in velocity by a factor of two results in a decrease in kinetic energy by a factor of four, which is equivalent to a decrease of 50%.
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A 4.0 kg bowling ball sliding to the right at 8.0 m/s has an elastic head-on
collision with another 4.0 kg bowling ball initially at rest. the first ball
stops after the collision.
a. find the velocity of the second ball after the collision.
b. verify your answer by calculating the total kinetic energy before and
after the collision.
A. The velocity of the second ball after the collision is 8 m/s.
What is collision?Collision is the physical contact between two or more objects. In physics, it is the result of two objects interacting with one another and exchanging energy, which can cause them to move, change direction, or deform. Collisions can occur between two objects, such as two cars, or between a single object and a surface, such as a car and a wall.
b. The total kinetic energy before the collision is 128 J. After the collision, the total kinetic energy is 0 J since the first ball has stopped. Therefore, the total kinetic energy before and after the collision are equal, verifying the answer.
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A 4.0 kg bowling ball sliding to the right at 8.0 m/s has an elastic head-on collision with another 4.0 kg bowling ball initially at rest. the first ball stops after the collision.
a. the velocity of the second ball after the collision is: 8 m/sec
b. it is verify the answer.
What is collision?Collision is the physical contact between two or more objects. In physics, it is the result of two objects interacting with one another and exchanging energy, which can cause them to move, change direction, or deform. Collisions can occur between two objects, such as two cars, or between a single object and a surface, such as a car and a wall.
a.
As we know from the conservation of momentum:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(4 × 8) + 0 = 0 + 4 × v₂
v₂ = 8 m/s
velocity of second ball after collision = 8 m/s right
b.
The total kinetic energy before the collision is 128 J. After the collision, the total kinetic energy is 0 J since the first ball has stopped. Therefore, the total kinetic energy before and after the collision are equal, verifying the answer.
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convergent or divergent depending on how they refract light. what is the difference between these two types of lenses
Light flowing through a converging lens is brought to either a point or focus. The light disperses when seen via a divergent lens. Because they both focus light on your retina, they are converging.
What causes light refract?Since light moves through different material at varying rates, refraction—or a shift in the direction that the flow of light—occurs. Except for when i=00, a light ray's orientation changes when it travels from one substance to another due to a change in speed.
How does light refract?When light enters a material with a differing refractive index at an angle, it refracts (optical density). A shift in speed is what led to this direction change. For instance, light slows down when it passes through water from air and continues to move at a new angle or direction.
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The complete question is -
Lenses are described as convergent or divergent depending on how they refract light. What is the difference between these two types of lenses? Based on what you have learned, do you think the cornea and the eye lens act together as a convergent or divergent lens? Explain.
led bulbs are six times as efficient as incandescent bulbs. if a household replaced ten 100-watt bulbs with led bulbs, how many watts would be saved?
The answer states that 833 watts would've been saved if a family converted ten 100-watt lights over to led bulbs.
What does an electromagnetic watt mean?James Watt, the developer of the steam engine, was honored with the name Watts, which are units used to determine the power of electricity. The electrical power expressed in Watts is the same as one volt under one volt of pressure. A watt of power is a very small amount.
Watts or volts, which really is greater?One voltage equals 1000 watts or.001 kilowatts (kW) per hour, which is what circuits need to power lights, devices, and appliances.
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A wave with a frequency of 6 kHz was found to oscillate 24,000 times. Over what time period was it measured?
The time required for a wave with a 6 kHz frequency to oscillate 24,000 times was calculated to be 41 hours. An event's repetitions per unit of time are what determine its frequency.
It is distinct from angular frequency and is sometimes referred to as temporal frequency, just to be clear. Every second, or one hertz (Hz), or unit of frequency, an event occurs. The vibration of the strings of stringed instruments, such as the guitar, is another example of oscillation. The pendulum's oscillating movement is brought on by its back-and-forth motion. Vibrations in mechanical systems are referred to as such. A particle vibrates when it oscillates between two places with respect to its centre of mass.
T = 1/lamda is the formula for time.
Time = 1/24000*106 Time = 41 hours
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Answer: 4 seconds
I'm not sure about the working out because I just got the answer while doing an online test but i hope it helps :)
If the distance from c to c' is 8 and the scale factor is 5. What is the distance from a to c?.
The distance from A to C is 40.
To find the distance from point A to point C, we need to use the concept of similar figures. In similar figures, the ratio of corresponding lengths is always equal to the scale factor. Since the distance from point C to point C' is 8 and the scale factor is 5, we can use this information to find the distance from point A to point C.
To do this, we can set up the following proportion:
(Distance from A to C)/(Distance from C to C') = Scale Factor.
Therefore,
(Distance from A to C) = (Distance from C to C') * Scale Factor = 8 * 5 = 40.
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if the spring stretches 0.300 m while supporting an 8.2 kg child, what is its spring constant (in n/m)?
The spring constant is 27.333 N/m
The spring constant (k) can be found using Hooke's Law, which states that the force needed to stretch or compress a spring is directly proportional to the distance the spring is stretched or compressed. The proportionality constant is called the spring constant.
The equation for Hooke's Law is:
F = kx
Where F is the force applied to the spring, x is the distance the spring is stretched or compressed, and k is the spring constant.
In this case, the force applied to the spring is the weight of the child (8.2 kg) multiplied by the acceleration due to gravity (9.8 m/s^2)
F=8.2 kg * 9.8 m/s^2
and the distance the spring is stretched is given as 0.3m
Therefore, we can find the spring constant by rearranging the equation:
k = F/x
k = (8.2 kg * 9.8 m/s^2) / 0.3 m
k = 27.333 N/m (Newton per meter)
Therefore the spring constant is 27.333 N/m
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a car drives straight down toward the bottom of a valley and up the other side on a road whose bottom has a radius of curvature of 115 m. at the very bottom, the normal force on the driver is twice his weight. at what speed was the car traveling, in m/s?
On a road whose bottom has a radius of curvature of 115 m an automobile travels straight down toward The speed of the car is 33.588 m/s at the very bottom.
What minimum static friction coefficient is required?The coefficient of static friction between the tires and the road needs to be 0.8 for a car to go at 95 km/h around a curve with a radius of 125 m.
What is an automobile carrying 1200 kg's top speed?As a result the acceleration due to gravity or g is approximately 9.81 m/s2 9.81 m/s 2 The equivalent of the frictional speed force is equivalent to the relating to the centripetal force The values in the equation above can be changed so the maximum speed of the vehicle is 22.2 m/s 22.2 m/s.
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a wave wirh a period of 50 seconds is generated and the wave length is 2m calculate the speed
Answer:
0.04 m / s
Explanation:
distance over time will get you your speed
find vf , the final speed of the particle after it has traveled a distance d . express the final speed in terms of vi , m , f , and d .
Due to the absence of a directional component, the particle's final speed, vf, is calculated as (vi2+2*(F/m)*D) after it has travelled d metres and has been moving at a velocity dictated by terms of vi, m, f, and d.
The equation (vi2+2*(F/m)*D) can be used to find the vf. Vi is the initial velocity, m is the mass, D is the distance, and F is the force. Velocity, measured in metres per second, is the rate at which an object's location shifts. Physics defines a force as an influence that has the power to change how an object moves. An object with mass can experience a force that alters its acceleration or velocity (for example, moving from a condition of rest).
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Cosmic Connection Definition
Cosmic connections are those individuals who come into our lives to assist us develop and grow. Everything is united, so there is nothing of the sort as a possible gathering. The characters in our world are not thereby some coincidence, but the reason is the vital cosmic connection.
Cosmic connections are people who come into our lives to help us grow and develop spiritually.
What is Cosmic connections?Cosmic Connections is a philosophy exploring the interconnectedness of all living things and the universe. It encourages us to see ourselves as part of a larger cosmic family, recognizing our relationships with the Earth, the stars, and the galaxies.
This interconnection is based on the concept that everything in the universe is connected and can affect each other, and that our lives are not just the result of random chance. These special people help us to develop spiritually and can be seen as guides on our journey. They may come in the form of friends, mentors, teachers, or even strangers. Ultimately, these cosmic connections are here to help us to become the best versions of ourselves.
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an object is placed 40cm from a converging lens of focal length of 10cm. if a real image of 5cm height is formed, calculate the height of the object
Answer:
15 cm
Explanation:
[tex]m = \frac{f}{s - f} = \frac{i}{o} \\ \frac{10}{40 - 10} = \frac{5}{o} \\ \frac{1}{3} = \frac{5}{o} \\ o = 15 \: cm[/tex]
a 10 kg bomb is sliding across an ice rink southward at 6 m/s. it explodes. piece 1 with a mass of 2 kg moves southward at 12 m/s. find the direction and magnitude of the velocity of mass 2.
The direction and magnitude of the velocity of mass 2 is 5.6 m/s southward.
What is velocity?Velocity is a vector quantity that measures the rate of change of an object's position in a particular direction.
The direction and magnitude of the velocity of mass 2 can be determined by using the law of conservation of momentum. According to this law, when a system experiences no external force, the total momentum of the system before the explosion must equal the total momentum of the system after the explosion.
Before the explosion, the total momentum of the system is 10 kg * 6 m/s = 60 kg m/s.
After the explosion, the total momentum of the system is 2 kg * 12 m/s + (10 kg - 2 kg) * V2, where V2 is the velocity of mass 2.
Therefore, the equation for conservation of momentum can be written as:
60 kg m/s = 2 kg * 12 m/s + (10 kg - 2 kg) * V2
Solving for V2, we get V2 = 5.6 m/s.
Therefore, the direction and magnitude of the velocity of mass 2 is 5.6 m/s southward.
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