The third law of motion of Newton explains the relationship between action and reply forces. As an outcome, a reply to the force generated by the bowstring striking the arrow is offered.
What does motion entail?Movement is the act of moving or changing places or positions, as in a conductor. the capacity to move with a living person's force. The word "gait" refers to a person's walking style. a movement or change in posture; a gesture.
What does "motion" mean, and what are some examples?The change in an item's location relative to time is known as motion. Motion includes sounds like windows rattling, a book falling off a seat, water coming from the faucet, etc. even the air that we
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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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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 point charge exists in empty space such that at a distance of 3.01 m from the charge, the electric field strength is 7.42 n/c. what is the magnitude of the charge for this point charge? c
The magnitude of the charge can be calculated using the equation E = kQ/r^2, where E is the electric field strength, k is the Coulomb's constant (8.99 x 10^9 N·m^2/C^2), Q is the charge, and r is the distance from the charge.
what is strength ?
Strength can be defined as the capacity to endure physical, mental, or emotional stress. It can refer to physical strength, mental strength, or emotional strength. Physical strength is the ability to perform physical activities such as lifting weights, running, or pushing objects. Mental strength is the ability to focus on tasks and stay motivated.
Emotional strength is the capacity to handle difficult situations and to remain calm and composed. Strength is a quality that can be cultivated through practice and hard work. It is an important factor in achieving goals, as well as maintaining a healthy lifestyle. Strength can also be developed by setting and achieving goals, practicing visualization techniques, and engaging in activities that challenge one's mental and physical abilities. Additionally, strength can be developed through positive thinking, self-awareness, and self-discipline.
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the four tires of an automobile are inflated to a gauge pressure of 2.3 105 pa. each tire has an area of 0.027 m2 in contact with the ground. determine the weight of the automobile.
The weight of the automobile is 19.94KN
What is weight?Weight is the measure of the pull of gravity on an object. It is usually measured in units of mass, such as kilograms (kg) or pounds (lbs).
Depending on the object, the weight can be affected by the environment, including gravity, atmosphere, and other forces.
Weight of the automobile = (4 tires) x (gauge pressure) x (contact area) x (gravitational acceleration)
= (4) x (2.3 105 Pa) x (0.027 m2) x (9.8 m/s2)
= 1.994 x 104 N
= 19.94 kN
Therefore, The weight of the automobile is 19.94KN
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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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an egg rolls off a kitchen counter and breaks as it hits the floor. how large is the impulse that the floor exerts on the egg, and how large is the force exerted on the egg by the floor when stopping it? the counter is 1.0 m high, the mass of the egg is about 50 g, and the time interval during the collision is about 0.010 s
How large is the impulse that the floor exerts on the egg is 22.15 N.
How does impulse relate to force?Impulse is related to force as it represents the change in momentum of an object as a result of a force acting over a period of time. Impulse is calculated by multiplying the force applied to an object by the time over which that force is applied. In this case, the force exerted by the floor on the egg causes a change in the egg's momentum, and the impulse is the product of this change in momentum and the time over which it occurred.
How do you calculate the impulse exerted on the floor?First step is to calculate the velocity of the egg just before hitting the floor,
v²=u²+2gh, where u=0
v²=0²+2×9.81×1.0
v²=4.43/s
Second step is to calculate the change in momentum of the egg,
Change in momentum=0.05×4.43/s
Change in momentum=0.2215 kgm/s
Third step is to calculate the force exerted on the egg by the floor using this formula,
Force exerted on the egg=Change in momentum/Time
Force exerted on the egg=0.2215/0.010
Force exerted on the egg=22.15 N
In conclusion how large is the impulse that the floor exerts on the egg is 22.15 N.
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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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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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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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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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An object is placed 19 cm to the left of a converging lens of focal length 30 cm. A diverging lens of focal length 9 cm is 25 cm to the right of the converging lens. Find the position and magnification of the final image.
The final image will be real and obtained at infinity is the position and magnification of the final image.
What are convergent and divergent lenses?A converging lens brings together parallel light rays that are moving in their direction. A diverging lens does just that as parallel light rays approach it. It creates the true image. The virtual image is created. A converging lens is also known as a convex lens.
Is a convex lens also a converging lens?Since the rays converge after passing through the convex lens, convex lenses are also known as converging lenses. Since the rays diverge after striking the concave lens, it is known as a diverging lens.
For converging lens,
[tex]\frac{1}{f} =\frac{1}{v} -\frac{1}{u}[/tex]
[tex]\frac{1}{30} =\frac{1}{v} -\frac{1}{-19}[/tex]
[tex]\frac{1}{v} =\frac{1}{30} -\frac{1}{19}[/tex]
[tex]v=11m[/tex]
The final image will be real and obtained at infinity.
For diverging lens,
[tex]\frac{1}{f} =\frac{1}{v} -\frac{1}{u}[/tex]
[tex]\frac{1}{9} =\frac{1}{v} -\frac{1}{-30-25}[/tex]
[tex]\frac{1}{v} =\frac{1}{9} -\frac{1}{55}[/tex]
[tex]v=46m[/tex]
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This is just a theoretical question, but if there was a superhero that was able to take the potential energies from around them and turn them into kinetic energy what would that look like? Because the Flash takes his potential energy and makes that kinetic energy which makes him fast. So what would it look like to take potential energy from things around them a turn that into kinetic energy? Just curious.
The conversion of energy can occur by the first law of thermodynamics.
What is the kinetic energy?We have to note that the kinetic energy would have to do with the energy of an object that is in motion. In this case, we can see that we have been told that super hero can be able to turn potential energy into kinetic energy.
This is in obedience to the first law of thermodynamics which states that energy can neither be created nor destroyed rather it can be converted from one form to another.
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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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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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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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You hold your physics textbook in your hand. (Assume that no other objects are in contact with the book.)
a)Identify the forces acting on the book. (Select all that apply.)
book on hand
hand on book
floor on book
earth on book
b)For each force you identified in part (a), indicate the direction. (If a force is not applicable, choose NA.)
book on hand hand on book floor on book earth on book
c)Identify the forces acting on your hand. (Select all that apply.)
book on hand
hand on book
floor on hand
earth on hand
d)For each force you identified in part (c), indicate the direction. (If a force is not applicable, choose NA.)
book on hand hand on book floor on hand earth on hand e) Identify the forces that form the action-reaction pair as defined by Newton's third law.
earth on hand hand floor on book
The forces acting on the book are: hand on book and earth on book. The forces acting on your hand are: book on hand and earth on hand. the forces "hand on book" and "book on hand" are action-reaction pair.
You hold your physics textbook in your hand. By applying the Newton's third law of action and reaction, we can conclude that:
a) The forces acting on the book are:
hand on bookearth on book (gravitational force which result in the weight of the book)The floor is not in contact with the book, hence, there is no force from the floor on the book
b) The direction of forces in part (a):
hand on book ---> the direction is upwardearth on book ----> the direction is downwardc) The forces acting on your hand:
book on handearth on hand (gravitational force)d) The direction of forces in part (c)
book on hand ---> the direction is downwardearth on hand ---> the direction is downwarde) The action force has the same magnitude as the reaction force, but in opposite direction.
The action-reaction forces are:
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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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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 :)
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 submarine is traveling along the surface of the ocean when they spot a pod of dolphins ahead. To avoid the dolphins, the submarine will dive and travel through the ocean. If the submarine wants to be 0.9 nautical miles below the dolphins after traveling 2.1 nautical miles, what dive angle must the submarine make
The dive angle must the submarine make is found to be 25.4 °
How do you define "submarine"?a vessel capable of submersion: a nuclear submarine. a command or base for submarines. A wide range of missions, including anti-surface and anti-submarine warfare, information gathering, mine reconnaissance, ground strikes, polar operations, Special Forces support, and guarding other fleet ships, can be carried out by American submarines.
Sin Ф = 0.9/2.1;
Ф=> Sin^-1(0.9/2.1);
=> 25.4°.
How long do submarines stay submerged?
For long to four months at a time, submarines can remain submerged more than 600 feet below the surface of the water while continuously patrolling and carrying out secret operations. Although you can't always see them, they are always working under the sea in silence.
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*You can improve your gas mileage by _____ your car before you drive.
A - warming up
B - washing
C - adding weight to front of
D - removing unnecessary weight from
2. rank the objects in order of least buoyant force to most buoyant force. is there any relationship?
The buoyant force in the increasing order is:
F<A<D<B<C=E
What is buoyant force?The buoyant force is an upward directed force that acts on any object when it is submerged either partially or completely inside a static fluid.
A body is able to float on the surface of fluid because of the buoyant force acting on the object, which tends to balance the weight of the object. The strength of the buoyant force on an object depends on the mass/volume of the fluid displaced by the object. This principle is known as Archimedes' Principle. According to Archimedes' principle, the buoyant force acting on an object is equal to the weight of the fluid displaced by the object.
The weight of an object is given by the equation:
W=mg
Here,
• m is the mass of the object.
• g=9.8m/s² =9.8m/s² is the acceleration due to gravity.
In terms of the volume, V and density ρ, the above equation becomes:
W=ρVg
It can be seen from the above equation that for a constant, ρ, we have:
W∝V
Therefore, the buoyant force will be proportional to the volume, Vf , of the fluid displaced by the object. Since the volume, Vf of the displaced fluid is equal to the volume of the object submerged inside the fluid, we have:
Vf = Vo∴Fb∝Vo
Therefore, the buoyant force in the increasing order is:
F<A<D<B<C=E
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The complete question is as follows:
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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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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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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correct answer iss a ??
Answer:
a
Explanation:
your right maybe
If we can measure the period of a star's "wobble" caused by an orbiting planet, we know the _______.
a. distance to the planet.
b. distance to the star.
c. period of the planet's orbit.
d. mass of the planet.
The amount a planet "wobbles" the galaxy it is orbiting may be used to calculate the planet's period.
How far is measured in SI units?The distance unit is referred to by the Standards Organization as a metre. It's noteworthy to note that utilising this fundamental unit and a few equations, a number of derived quantities or quantities, including capacity, area, force, and movement, may be created.
How do you calculate distance?Distance is how length is calculated. For instance, a road's length is equal to its length. Decimals, centimetres, metres, and kilometer are the most used metric units for measuring distance.
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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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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 penny has a coefficient of static friction of 0.4 on a turntable which is spinning at 40 rpms. what is the maximum/minimum distance from the center at which the penny can be placed without sliding off?
The minimum distance from the center at which the penny can be placed without sliding off is 0.0039 m, while the maximum distance is not defined as the penny would slide off as soon as it's placed further away from the center.
To determine the maximum/minimum distance from the center at which the penny can be placed without sliding off, we need to calculate the static friction force (F_s) and the centrifugal force (F_c) acting on the penny.
[tex]F_s[/tex] = coefficient of static friction * normal force
[tex]F_c = m * r * w^2[/tex]
where
m = mass of penny
r = distance from center
w = angular velocity (converted to radians/sec)
In order for the penny to not slide off, the static friction force must be greater than or equal to the centrifugal force. Therefore,
[tex]F_s > = F_c[/tex]
Plugging in the known values:
[tex]0.4 * m * g > = m * r * (40 * 2 * \pi / 60)^2[/tex]
where g is the acceleration due to gravity (approx 9.8 m/s^2)
Solving for r:
[tex]r > = (0.4 * g) / (40 * 2 *\pi/ 60)^2[/tex]
r >= 0.0039 m
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