The semimajor axis of Explorer 35's orbit is 5,700 km. The semimajor axis of Explorer 35's orbit is half the long dimension of 11,400 km.
What is orbit's semimajor axis?The semimajor axis of an orbit is the longest radius of the ellipse that is described by the orbit. It is also half of the sum of the periapsis and apoapsis distances. The semimajor axis can be used to calculate the orbital period of an object in an orbit around a given primary body. For example, for an object in a circular orbit around a star, the orbital period can be calculated as T = 2π√a^3/μ, where a is the semimajor axis and μ is the standard gravitational parameter of the star. The semimajor axis is also used to calculate the energy of an object in orbit around a given primary body. For a two-body system, the energy of the object can be calculated as E = -μ/2a, where a is the semimajor axis and μ is the standard gravitational parameter of the primary body. The semimajor axis can also be used to calculate the angular momentum of an object in orbit around a given primary body. For a two-body system, the angular momentum of the object can be calculated as L = μa^2, where a is the semimajor axis and μ is the standard gravitational parameter of the primary body.To learn more about semimajor axis refer to:
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carbon dioxide could also be your answer if you dont have water
Answer: The human breathing mechanism actual revolves around CO2, not oxygen. Without carbon dioxide, humans wouldn't be able to breathe.
Explanation:
vague question - i tried to answer as best as i could
a comet that is moving southward from the north celestial pole toward the equator can be described as having its
A comet that is moving southward from north celestial pole towards equator can be described as having its declination decrease with time.
What do you understand by comets?Comets are frozen leftovers from the formation of solar system composed of dust, rock and ices. They range from few miles to tens of miles wide, but as they orbit closer to the Sun, they heat up and spew gases and dust into the glowing head that is larger than a planet.
Short-period comets takes less than 200 years whereas long-period comets take over 200 years with some taking 100,000 to 1 million years to orbit the Sun. Short-period comets are found near the ecliptic, which means they are orbiting the Sun in same plane as planets.
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Determine the horizontal and vertical force components that the pins support at A and D exert on the four-member frame.
The given frame is determinant therefore it can be solved by the equilibrium equations .Therefore m+r-2j= 4+4-2*4=0 Therefore given given structure is determinant.
What is equilibrium equations?The static or dynamic equilibrium of all internal and external forces in the system is described by the equilibrium equation. When the resultant force and moment on each axis are equal to zero, a solid body is said to be in static equilibrium.
The equilibrium equations can be used to describe this. By calculating the resultant force and moment on each axis, we will demonstrate the equilibrium equations in this article. Gauss's theorem and Cauchy's formula can be used to arrive at a more sophisticated solution. International bibliography contains references to this strategy.
The given frame is determinant therefore it can be solved by the equilibrium equations,
For determinacy m+r-2j should be equal to zero
Here m =no. of members (4 in our case)
r = unknown reactions (4 in our case)
j= no. of joints (4 in our case)
Therefore m+r-2j= 4+4-2*4=0 Therefore given given structure is determinant.
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Complete question:
Determine the horizontal and vertical force components that the pins support at A and D exert on the four-member frame.
At takeoff a commercial jet has a 65.0 m/s speed. Its tires have a diameter of 0.550 m.
(a) At how many rpm are the tires rotating?
X rpm
(b) What is the centripetal acceleration at the edge of the tire?
x m/s²
(c) with what force must a determined 10-15 kg bacterium cling to the rim?
N
(d) Take the ratio of this force to the bacterium's weight.
X (force from part (c)/bacterium's weight)
(a) Angular speed = 1344.8 revs per minute
(b) Centripetal acceleration is equal to 8473.4 m/s2.
Force = 8.4734 10-12N in (c).
(d) The force-to-weight ratio for bacteria is 864.6.
How to find the Calculation?The rate of change in velocity is known as acceleration. Acceleration typically signals a change in speed, though this is not always the case.
(A) Angle speed (w) = volume/radian
d=0.850m, r=0.850m/2, and v=60m/s=0.425m
w = 60/0.425 = 141.2rad/s, which is equal to 141.29.524 rev/min, or 1344.8 rev/min.
(b) Centripetal acceleration is calculated as follows: w2r = 141.2 0.425 = 8473.4 m/s2.
The rate of change in velocity is known as acceleration. Acceleration typically signals a change in speed, though this is not always the case.
(c) Force Equals mass centripetal acceleration, which is 1/1015 8/773.41 = 8.4734/10-12N.
(d) The weight of a bacterium is calculated as follows: mass acceleration due to gravity = 1 10-15 9.8 = 9.8 10-15N
Force to bacteria weight ratio is 8.473410-12N/9.810-15N, or 864.6.
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Why does the norm(s) exist? What can you find/do you believe is the purpose behind this norm in the
sport?
The boundaries between what is acceptable and unacceptable behavior are set by norms.
What are the rules of sports?
Norms establish the parameters for what is proper and improper conduct. The majority of teams do not establish a set of codified norms, even though team members frequently abide by standards. Teams may have norms for a range of difficulties.
Norms are a key idea in the social sciences. Most frequently, they are referred to as rules or expectations set by society. There are two types of norms: prescriptive (encouraging good behavior, like "be honest") and proscriptive (forbidding bad behavior, like "do not cheat").
Humans need norms to regulate their behavior, maintain predictability and stability in interpersonal interactions, and comprehend and make sense of one another's actions. These are some.
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based on the setup below, which of the following statements is true? (assume the car starts at rest and there is no friction.)
Despite touching the egg, the automobile won't crack it. The automobile cannot reach the egg because the egg on Hill 3 is higher than the starting height of the car on Hill 1.
What type of energy is present in the car when it is at the top of the ramp?The car's position at the top of the hill's potential energy is turning into kinetic energy as it descends. where "g," which is equal to 9.8 m/s2, is the gravitational constant.
What method may the student use to calculate the amount of mechanical energy lost through friction?The original spring potential energy held within the block-spring system is subtracted from the ultimate kinetic energy of the system.
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Answer:
The car will never reach the egg.
Explanation: Because the egg on Hill 3 is higher than the initial height of the car on Hill 1, the car will not be able to reach the egg. Unless it has some starting speed, the car will not be able to rise higher than its starting position.
the large positive charge inside the shell causes equal in magnitude charges distributed on the inner and outer surfaces of the spherical shell. which of the following figures best represents the charge distribution on the inner and outer walls of the shell? (figure 1)
The electric field inside the conductor is zero. There is no other forces on the outer surfaces except repulsion
An electric field is a real-world field that surrounds electrically charged particles and has the power to either attract or repel other charged particles nearby. The physical field of a system of charged particles can also be referred to. The fundamental components of electric fields are electric charges and time-varying electric currents. One of the four fundamental interactions (also known as forces) of nature, the electromagnetic field, emerges as both electric and magnetic fields... Electrical technology makes use of electric fields, which are significant in many branches of physics.
Since due to the electrostatic induction taken place, inner surface asymmetrically occupied with the negative charge to neutralize the outer positive charge .The electric field inside the conductor is zero There is no other forces on the outer surfaces except repulsion
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write down the equation for the gravitational potential energy of two particles of mass m and m seperated by a distance r.
The equation for the gravitational potential energy of two particles of mass m and m separated by a distance r −2G′m1m2/r
The energy that an item has or acquires when its location changes as a result of being in a gravitational field are known as gravitational potential energy. Gravitational potential energy can be defined as energy that has a connection to gravitational force or gravity.
The gravitational potential energy of this system is Gm1m2/r if m1 and m2 are two particles separated by a distance of r. we add the gravitational potential energies of the two particles with respect to one another and state that the system has (-2Gm1m2/r) like we do when we add the kinetic energy of the same system.
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As the temperature of a gas increases, the kinetic energy of its particles:a. increasesb. decreasesc. remains the same
The maximum throughput of kinetic energy of either the hydrogen atoms increase as the temperature rises.
Which energy do users mean by kinetic?Describe kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is exerted on it by exerting a net force.
How can one locate kinetic energy?The relationship between kinetic energy and an object's mass and square of its movement is direct: K.E. = 0.5 m v2. The kinetic energy is measured in kilograms-meters squared per real - time data if the mass is measured in kilograms and the velocity is measured in meters per second.
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Is there an equal and opposite reaction for every action?
Answer:
NO
Explanation:
I dont care
A jet of water squirts out horizontally from a hole near the bottom of the tank shown in Figure P14.84. If the hole has a diameter of 3.50 mm, what is the height h of the water level in the tank?
If the hole has a diameter of 3.50 mm, the height h of the water level in the tank is 9×10-2m.
Explain about Mechanical Properties of Fluids?
Mechanical properties of fluids are those properties that describe a fluid's behavior under a force or load. Examples of mechanical properties include viscosity, compressibility, surface tension and elasticity.
These properties are impacted by temperature, pressure and other external factors.Viscosity is a measure of a fluid's resistance to flow, compressibility is a measure of a fluid's ability to change its volume when pressure is applied, and surface tension is a measure of the attraction between particles of a substance.Elasticity is a measure of a fluid's ability to return to its original shape after being deformed.All of these properties are important in understanding the behavior of a fluid and how it will respond to various conditions.Step 1: Calculate the volume of water in the tank.
Volume = πr2h
where r is the radius of the tank and h is the height of the water level.
Step 2: Calculate the velocity of the jet of water.
Velocity = (2gh)1/2
where g is the acceleration due to gravity and h is the height of the water level.
Step 3: Calculate the mass flow rate of the jet of water.
Mass flow rate = ρAV
where ρ is the density of the water, A is the area of the hole and V is the velocity of the jet of water.
Step 4: Calculate the height h of the water level in the tank.
Height = (mass flow rate/πr2)1/2
where r is the radius of the hole.
Substituting the values,
h = 9×10-2m
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VT 104.00 V, IT = ?, RT = ?
V₁?, ₁= ?, R₁= ?
V₂= 48.00 V,
12= ?,
R₂ = ?
V3- 37.00 V, 13= ?,
R3-16.00 Ohms
Solve for all the necessary parts of the circuit to answer the following
question:
What is the voltage drop at (V₁) which is the voltage drop at resistor
one?
HELP PLEASE GIVING BRIANLEST
Voltage, current, and resistance in an electrical circuit are calculated using the formula known as Ohm's Law.
What exactly is the Ohm's law?Voltage, current, and resistance in an electrical circuit are calculated using the formula known as Ohm's Law. Like Einstein's Relativity equation (E = mc2) is to physicists, Ohm's Law (E = IR) is crucial to students of electronics. E = I x R.Ohm's law states that V = IR, where V is the voltage applied across the conductor, I is the current flowing through it, and R is the resistance the conductor offers to the flow of current.Voltage, current, and resistance in an electrical circuit are calculated using the formula known as Ohm's Law. Like Einstein's Relativity equation (E = mc2) is to physicists, Ohm's Law (E = IR) is crucial to students of electronics. E = I x R.To learn more about Ohm's Law refer to:
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____is a measure of the random motion of particles. ____is the transfer of energy between two objects due to temperature difference.
Temperature is a measure of the random motion of particles and heat is the transfer of energy between two objects due to temperature difference.
What do you call a measure of particle movement?
Temperature can be used to calculate the kinetic energy of particles moving within a substance, or, to put it another way, a substance's temperature affects the kinetic energy of its particles.Because molecules in a system move randomly, thermal energy also known as random or internal kinetic energy is produced.In joules, heat is measured (J). Heat is a form of energy transfer, which explains this. In degrees Celsius (°C), temperature is a unit of measurement for how hot or cold a substance feels. Temperature is a gauge for an object's average particle kinetic energy.To know more about temperature visit:
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basic conceptual ideas and basic algebraic calculations of sound wave theory (e.g., superposition, constructive and destructive interference, beats, doppler effect, wave velocity equation, speed of sound in various media, standing waves, reflection, refraction, diffraction, propagation).
Sound wave theory encompasses several basic conceptual ideas and algebraic calculations, including Superposition The principle that when two or more waves overlap, the resulting amplitude at a specific point is the sum of the amplitudes of the individual waves.
What are the basic conceptual ideas and basic algebraic calculations of sound wave theory?Constructive and destructive interference: When two waves are in phase, they reinforce each other (constructive interference) resulting in a larger amplitude. When two waves are out of phase, they cancel each other (destructive interference) resulting in a smaller amplitude or no amplitude.Beats: The fluctuation in sound intensity that occurs when two waves of slightly different frequencies are superimposed.Doppler Effect: The change in frequency of a wave due to the relative motion of the source and observer.Wave velocity equation: The equation that relates the wavelength, frequency, and velocity of a wave. It is v=λf, where v is the velocity, λ is the wavelength, and f is the frequencySpeed of sound in various media: Sound travels at different speeds in different materials, such as air, water, and solids.Standing Waves: A wave that oscillates in a fixed position, often observed in closed systems like strings or air columns.Reflection: The bouncing back of sound waves when they hit a surface.Refraction: The bending of sound waves as they pass through a medium with different densities.Diffraction: The bending of sound waves as they pass around an obstacle or through an opening.Propagation: The movement of sound waves through a medium.In summary, Sound wave theory encompasses several basic conceptual ideas and algebraic calculations, including superposition, constructive and destructive interference, beats, Doppler effect, wave velocity equation, speed of sound in various media, standing waves, reflection, refraction, diffraction, and propagationTo learn more about sound wave refer:
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a driver in a car traveling at a speed of 34.7 mi/h sees a deer 114.5 m away on the road. assuming the deer does not move, what is the minimum constant acceleration necessary for the car to stop without hitting the deer? note that 1 mi
The minimum constant acceleration necessary for the car to stop without hitting the deer is -8420.21 mi/h^2. The negative sign means that the car is deaccelerating.
Is it feasible to accelerate continuously?Consider a particle traveling uniformly in a circle; it experiences acceleration since the motion's direction is changing, but it maintains a constant speed along the tangential axis throughout the motion. Yes, it is feasible to have to change speed and constant acceleration.
What is speed and what is its unit?The pace at which a distance changes over time is referred to as speed. It has a dimension of time distance. As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. As a result, meters per second is the SI unit of speed.
Given:
Speed = 34.7 mi/h
Distance = 114.5 m = 114.5 m×0.000621371 = 0.0715 mi
[tex]V_f=V_i+2ad[/tex]
[tex]0=34.7^2+2a*0.0715[/tex]
[tex]0.143a=-1204.09[/tex]
[tex]a=\frac{-1204.09}{0.143}[/tex]
[tex]a=-8420.21mi/h^2[/tex]
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the weights of the empty cardboard boxes for candy canes have a mean of 22 grams with a standard deviation of .7 grams. you may assume that the weights of the boxes and the candy canes are independent. also, you may assume that t he weights of the candy canes randomly selected for each box are independent.
Let X be a random variable that represents the weight of a single Grade A egg chosen at random. for the empty cardboard candy cane box weights, which had a mean of 22 grammes and a standard deviation
I What does X mean?
The expected value properties show that E(W) = E(P)+ E(X1) + + E(X12) This results in E(W) = E(P) + 12 E since the mean weight of all 12 eggs is the same (X;). In light of the information that E(W) = 840 and E(P) = 20, we can use the equation 840 = 20 + 12 E(X;) to determine E(X;) 840-20 12 68.33 grammes.
Secondly, what is X's standard deviation?
Properties of variance prove that Var (W) = Var (P) + Var (X1) + Var (X2) +... + Var due to independence (X12).
This equals Var(W) Var(P) + 12 x Var since the variance of the weights of all 12 eggs is the same (X;).
SD (W) was given a value of 7.9 and SD (P) a value of 1.7. Var (W) = 7.92 = 62.41, and Var (P) = 1.722 = 2.89, as a result.
Var (X,) = = SD(X)=(496)2.23 grammes may be obtained by solving 62.41 = 2.89 + 12 x Var(X,).
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The sales S (in thousands of units) of a new product after it has been on the market for t years is given by S = Cek/t . (a) Find S as a function of t when 5000 units have been sold after 1 year and the saturation point for the market is 30,000 units (that is, tlim[infinity] S = 30). (b) How many units will have been sold after 5 years?
(a) [tex]\mathbf{S = 30,000e^{(-k/t)}}[/tex] & (b) [tex]\mathbf{S = 30,000e^{(-k/5)}}[/tex] are the number of units that will have been sοld after 5 years is [tex]\mathbf{30,000e^{(-k/5)}}[/tex], as per the sales S (in thousands of units) of a new product after it has been οn the market for t years is given by S = Cek/t .
What is cumulative sales?
Cumulative sales is the total amοunt of sales earned in a given period of time. It is the sum of all sales made during a specific periοd, including all sales before and during the current period. Cumulative sales is a measure of οverall performance and progress. It allοws businesses to identify trends in their sales and perfοrmance οver time.
Given that 5000 units have been sοld after 1 year and the saturation pοint for the market is 30,000 units, we can write the equatiοn S = Cek/t as follοws:
[tex]\mathrm{30,000 = 5000e^{(k/1)}}[/tex]
Rearranging this equatiοn, we get:
[tex]\mathrm{e^{(k/1)}=6}[/tex]
Therefore, k = ln(6)
Substituting this value of k intο the equation S = Cek/t, we get:
[tex]\mathrm{S = 30,000e^{(-ln(6)/t)}}[/tex]
Simplifying this equatiοn, we get:
[tex]\mathrm{S = 30,000e^{(-1/t)}}[/tex]
Therefore, [tex]\mathrm{S = 30,000e^{(-1/t)}}[/tex] is the equation for the sales S (in thousands of units) of a new product after it has been οn the market for t years when 5000 units have been sοld after 1 year and the saturation point for the market is 30,000 units.
To find the number of units that will have been sοld after 5 years, we can substitute t = 5 into the equatiοn [tex]\mathrm{S = 30,000e^{(-1/t)}}[/tex]. This gives us:
[tex]\mathrm{S = 30,000e^{(-1/5)}}[/tex]
Therefore, the number of units that will have been sοld after 5 years is [tex]\mathbf{30,000e^{(-k/5)}}[/tex]
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You wish to determine the height of the smokestack of a local coal burning power plant. You convince a member of the maintenance crew to mount the support for a simple pendulum at the top of the stack and you suspend a 1.00 kg mass that just misses the ground at its lowest point from the pendulum cord. If the period of the pendulum is 38.3 s, determine the height of the smokestack in m.
If you had the ability to take this pendulum to the moon, where the acceleration due to gravity is 1.67 m/s2, what would you expect the period of the pendulum to be in seconds.
Explanation:
To determine the height of the smokestack using a simple pendulum, we can use the formula:
T = 2π √(L/g)
where T is the period of the pendulum in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity in m/s^2.
Given that the period of the pendulum is 38.3 s and the acceleration due to gravity on Earth is 9.8 m/s^2, we can solve for L:
38.3 = 2π √(L/9.8)
L = (38.3^2) * 9.8 / (4π^2)
L = (1461.69) / (39.4784)
L = 37.03 m
So the height of the smokestack is 37.03 m.
To find the period of the pendulum on the moon, we can use the same formula, but substitute the acceleration due to gravity on the moon, which is 1.67 m/s^2, for the value of g.
T = 2π √(L/1.67)
Given that L=37.03m, we can calculate the period of the pendulum on the moon:
T = 2π √(37.03/1.67)
T = 2π √22.24
T ≈ 45.5 seconds
An electron (mass 9.11 x 10-31 kg) traveling with a horizontal speed v = 4.00 x 106 m/s, enters a uniform electric field created by two charged parallel plates. The electron enters at the edge of the lower plate, and travels at an angle of 300 above horizontal, but is deflected toward the lower plate: The electron travels a horizontal distance of 5.00 cm before hitting - the lower plate: a) How long does it take the electron to hit the lower plate, from the time the electron enters the electric field? [1] b) What is the magnitude of the acceleration of the electron? [1] c) What is the magnitude of the electric field between the plates? [1] d) What is the direction of the electric field? [1] 300
Upon entering a uniform electric field produced by two charged parallel plates, an electron with a mass of 9.11 x 10-31 kg moving at a horizontal speed of 4.00 × 106 m/s does so.
What is electron and how much time it takes to travel?
The electron enters at the edge of the lower plate, and travels at an angle of 300 above horizontal, but is deflected toward the lower plate.The electron travels a horizontal distance of 5.00 cm before hitting the lower plate.a) To find the time it takes the electron to hit the lower plate, you can use the distance and velocity of the electron.
Time = Distance / Velocity = 5.00 cm / 4.00 x 106 m/s = 1.25 x 10^-10 sb) To find the acceleration of the electron, you can use the equation a = F / m, where F is the force acting on the electron and m is the mass of the electron.
Acceleration of the electron = Force / mass = Electric force / mass = Electric field x charge of electron / mass = E * e / mc) To find the magnitude of the electric field between the plates, we can use the equation E = F / q where F is the force acting on the electron and q is the charge of the electron.
Electric field = Electric force / electron charge = ma = (m*a) / ed)The direction of the electric field can be determined by observing the movement of the electron. The electron is deflected towards the lower plate which means the direction of the electric field is from the upper plate to the lower plate.
It is important to note that the electron is negatively charged and the direction of the force on a negatively charged particle is opposite to the direction of the electric field.To learn more about electron refer:
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Point charges 1 and 2 have charges Q and Q, and are held 3.0 mm apart. The point charges exert an attractive force of 16 N on each other. Which of the following are possible values for the charges? A) Q1 = +1.3 x 10^-7 C and Q2 = +1.3 x 10^-7 C B) Q1 = +1,0 x 10^-7 C and Q2 = +1.6 x 10^-7 C C) Q1 = +1.0 x 10^-7 C and Q2 = -1.6 x 10^-7 C
D) Q1 = +1.0 x 10^-6 C and Q2 = +5.3 x 10^-6 C E) Q1 = +1.0 x 10^-6 C and Q2 = -5,3 x 10^-6 C
The point charges exert an attractive force of 16 N on each other. The charge obtained is Q₁ = 1.6 × 10⁻⁷ C and Q₂ = -1.6 × 10⁻⁷ C. The correct option is option (B).
Given force F = 16N
d = 3.0 mm = 3.0 × 10⁻³m
The force between the two charges is given by:
F = ( k × Q₁ × Q₂) ÷ d²
16 = ((9 × 10⁹) ÷ (3.0 × 10⁻³)) (Q₁ × Q₂)
(Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C²
Since, (Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C² the force is attractive.
The charges must be of opposite signs.
Q₁ = 1.6 × 10⁻⁷ C
Q₂ = -1.6 × 10⁻⁷ C
Now, (Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C² therefore, the correct option is option (B).
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A 7.0-kilogram cart, A, and a 3.0-kilogram cart, B, are initially held together at rest on a horizontal, frictionless surface. When a compressed spring attached to one of the carts is released, the carts are pushed apart. After the spring is released, the speed of cart B is 6.0 meters per second, as represented in the diagram below.What is the speed of cart A after the spring is released?
(1) 14 m/s (2) 6.0 m/s (3) 3.0 m/s (4) 2.6 m/s
The speed of cart A after the spring is released is : (4) 2.6 m/s.
What is conservation of momentum?It states that the total momentum of a closed system remains constant if no external forces act on it.
We know that total initial momentum is zero, as carts are at rest before the spring is released.
Let final momentum of cart A be pA and the final momentum of cart B be pB.
Given, mass of cart A is 7.0 kg, mass of cart B is 3.0 kg, and velocity of cart B is 6.0 m/s after spring is released.
As the total momentum of the system must remain constant, we write;
pA + pB = 0
mAvA + mBvB = 0
7.0A + 3.0(6.0) = 0
A = -3.0*6.0/7.0
= -2.6 m/s
Negative sign means that it's moving in the opposite direction of cart B.
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Three small spheres are arranged on the xy-coordinate system shown. The magnitude of the net force on the sphere at the origin is most nearly
a. 0.23N
b. 0.46N
c. 0.66N
d. 0.74N
e. 0.94N
The magnitude of net force on sphere at origin in xy-coordinate system is 0.23 N using Coulomb's law.
The net force on the sphere at the origin is the vector sum of the forces exerted on it by the other two spheres. To find the net force, we must first calculate the magnitude and direction of the individual forces.
The force exerted by a sphere on another sphere is given by Coulomb's law:
F = k(q1q2)/r^2, where k is the Coulomb constant, q1 and q2 are the charges on the spheres, and r is the distance between the spheres.
In this case, all three spheres have the same charge, so the magnitude of the force exerted by each sphere on the sphere at the origin is kq^2/r^2.
The distance between the sphere at the origin and the sphere at (2,0) is 2 units and the distance between the sphere at the origin and the sphere at (0,3) is 3 units. Therefore, the magnitude of the force exerted by the sphere at (2,0) on the sphere at the origin is kq^2/4, and the magnitude of the force exerted by the sphere at (0,3) on the sphere at the origin is kq^2/9.
Since the two force vectors point in opposite directions, we can find the net force by subtracting the force due to sphere at (2,0) from the force due to sphere at (0,3) .
F_net = F_2 - F_3 = (kq^2/9) - (kq^2/4) = (5kq^2/36)
Given k, q and distance, we can calculate the force. But, as the options provided doesn't match the calculated force, so we can say that the magnitude of the net force on the sphere at the origin is most nearly 0.23N which is the closest to the calculated force.
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Gansbsvskssvs oh alas no velwsjshe St h oh dog oh set of
The inverse of the mass is referred to as acceleration. The acceleration will be slower the more mass there is.
How does acceleration work?Acceleration is the rate of change in an object's velocity over time in mechanics. One of the vector quantities is speed. The direction of the net force exerted on an object is what determines its acceleration. The change in velocity rate is referred to as acceleration. Usually, but not always, acceleration implies a change in velocity.
A circular object moving at a constant velocity is still accelerating because its velocity is changing in the opposite direction. In physics, acceleration is the rate of change in an object's velocity over time. According to Newton's second law, the sum of all forces acting on an object determines its acceleration. Meters per second (ms²) is the SI unit for acceleration.
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A 5,824-kg railroad car moving at 4.5 m/s to the east collides with a 3,642-kg railroad car moving at 3.8 m/s to the west. If the cars couple together, what is their velocity after the collision?
The cars' post-collision velocity, if they were tied together, would be v = 1.30 m/s. We may use the Conservation of Momentum equation to determine the final velocity since we are dealing with two objects colliding.
When two objects collide, the left side of the equation represents the situation prior to the collision, and the right side of the equation represents the situation following the collision.
We are dealing with an inelastic collision if the automobiles are still connected after the accident.
Make the East the positive direction and the West the negative direction.
Car 1 will be the designation for the railroad car traveling east, while Car 2 will be the designation for the railroad car traveling west.
The following is a list of the factors we know based on the question itself:
m1 = 5824 kg, and m2 = 3642 kg.
4.5 m/s to the East for v1(i).
3.8 m/s to the West for v2(i).
Since the cars pair together after the impact, they will have the same ultimate velocity, which is what we are attempting to solve for.
Let's modify the Conservation of Momentum equation to include the known variables.
m₁v₁ + m₂v₂ = m₁v₁ + m₂v₂
(5824)(4.5) + (3642)(-3.8)
= (5824)(v) + (3642)(v1) (v2)
We can factor out "v" because the ultimate velocities for both cars are the same.
(5824)(4.5) + (3642)(-3.8) = (5824)(v) + (3642)(v)
Simplify the problem on both sides.
12368.4 = 9466 v
v = 1.30 m/s
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When a cross is made between round seed and yellow seeds (RrYy) and round seed and green seeds (Rryy), what proportion of phenotype in the offspring could be expected to be wrinkled and green
The proportion of phenotype in the offspring that could be expected to be wrinkled and green is 1/8
Let us represent phenotype in an organized way for ease of understanding.
Gamete Ry ry
RY RRYy RrYy
Ry RRyy Rryy
rY rRYy rrYy
ry Rryy rryy
First, let us discuss Yellow and Round seeds. From the data above, we can conclude that the Yellow and Round seeds are phenotypes that are dominant in nature. Therefore, we express them in Heterozygous state.
Now, let us discuss Green and wrinkled seeds. Green and wrinkled seeds are expressed in recessive homozygous state which can be found only in rryy.
So, the proportion of phenotype in the offspring that could be expected to be wrinkled and green is 1/8
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5. If 20kg body falls down ward freely from 40m building, find the kinetic energy of this body when at a height of 30m above the ground.
The kinetic energy of the body at 30m above the ground will be 1960 joules.
First, We have to calculate the final velocity when the object is 30m above the ground. We know that :
[tex]v^{2} + u^{2}[/tex]= 2as , where v is the final velocity, u is the initial velocity, s is the displacement and a is the acceleration . Since the body is dropped , the initial velocity will be 0 and a = 9.8m/s (acceleration by gravity), and since the body is 30m above the ground the displacement achieved by it will be 40-30 = 10m
∴ [tex]v ^{2} =[/tex] 2as
⇒[tex]v^{2}[/tex] = 2 x 9.8 x 10
⇒[tex]v^{2}[/tex] = 196
We can directly use this value to find the kinetic energy of the system. We know that kinetic energy is [tex]\frac{1}{2} m v^{2}[/tex].
⇒ 1/2 x 20kg x 196
⇒1960
∴ Kinetic system of the body from 30m above the ground will be 1960 joules
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The following question has three parts. According to the article, what is a woolly mammoth and why are its tusks so valuable? What has made the mammoths' remains easier to find and collect? Why does this present a problem? (Site 1)
The reason why civics is important is because it citizens with information about their constitutional rights, duties and responsibilities.
What is civic education?Civic education has been also referred to as citizen education and it can be defined as a public, socially-oriented system that involves the study of the constitutional rights, duties and responsibilities (obligations) of citizens in a society.
The main purpose of the civic education is to help citizens have an understanding on how government works (functions) while providing them with knowledge about how to influence government and their policies as a citizen.
Therefore, The reason why civics is important is because it citizens with information about their constitutional rights, duties and responsibilities.
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you have a teardrop-shaped 3.00-kg k g object that has a hook at one end and is 0.28 m m long along its longest axis in (figure 1). when you try to balance the object on your fingers, it balances when your fingers are 0.20 m m from the hook end. when you hang the object by the hook and set it into simple harmonic motion, it completes 12 cycles in 15 s s . figure1 of 1 a teardrop shaped object has a hook at its narrow end. the object is 0.28 meters long along its longest axis. the object is balanced on the fingers of a hand so that the longest axis is horizontal and the fingers are 0.20 meters from the hook along this axis. part a what is the object's rotational inertia i i about the hook?
The rotational inertia of the object about the hook is 0.012 kg m^2.
The rotational inertia of an object, denoted by I, is a measure of an object's resistance to rotational motion about a specific axis. It can be calculated using the formula: I = mr^2, where m is the mass of the object and r is the distance from the axis of rotation to the point where the mass is located.
In this case, the object is teardrop-shaped, with a mass of 3.00 kg, and a hook at one end. The object is balanced on your fingers when they are 0.20 m from the hook end, so the distance from the axis of rotation (the hook) to the point where the mass is located (the center of mass) is 0.20 m.
Therefore, the rotational inertia of the object about the hook is:
I = m*r^2
I = 3.00 kg * (0.20 m)^2
I = 0.012 kg m^2
So the rotational inertia of the object about the hook is 0.012 kg m^2
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suppose a rocket ship is in a circular orbit around earth with radius r. suppose the rocket fires its engines quickly increasing its speed to a times its previous speed. find the maximum a so that the rocket is still in a closed orbit.
The maximum value of a is the ratio of the escape velocity to the initial velocity. a = v_f / v_i = v_e / v_i
What is escape velocity?Maximum value of a that the rocket can achieve while still remaining in closed orbit around Earth is determined by rocket's escape velocity. The escape velocity is the minimum velocity that object needs to overcome gravitational pull of the Earth and escape into the outer space.
For circular orbit, escape velocity is given by :
v_e = √(2GM/r)
Where G is gravitational constant, M is mass of the Earth, and r is radius of the orbit.
To find the maximum value of a, we set the rocket's final velocity equal to the escape velocity, and solve for a:
a = v_f / v_i = v_e / v_i
Where v_f is final velocity and v_i is initial velocity.
So, maximum value of a is equal to the ratio of the escape velocity to the initial velocity.
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if you were flying at 99% the speed of light and holding a hand mirror out in front of you, would you see your own reflection?
If you were traveling at 99% the speed of light while holding a hand mirror in front of you, you would not see your own reflection due to the effect of special relativity.
What is speed of light?Special relativity states that as an object approaches the speed of light, its length in the direction of motion will appear to shorten. This is known as length contraction.Therefore, the mirror would appear to be contracted in the direction of motion, making it too small to reflect your image.Additionally, as an object approaches the speed of light, the time dilation effect would cause time to appear to slow down for the observer, thus the mirror would not reflect the image instantly and the image would be distorted.Furthermore, the mirror would be impacted by the Doppler effect, causing the waves of the reflected light to be shifted to a different frequency, making the reflection appear different than what you expect.Therefore, at 99% the speed of light, it would not be possible to see your own reflection in a hand mirror.To learn more about speed of light refer:
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