what can be said about the speed of the object when the velocity and acceleration have opposite signs?

Answers

Answer 1

Answer: if the acceleration has the opposite sign as the velocity, the object will be slowing down.

Explanation:


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a 60-lb uniform thin panel is placed in a truck with end a resting on a rough horizontal surface and end b supported by a smooth vertical surface. knowing that the panel remains in the position shown, determine (a) the maximum allowable acceleration of the truck, (b) the corresponding minimum required coefficient of static friction at end a.

Answers

The maximum allowable acceleration of the truck is 0.544, the corresponding minimum required coefficient of static friction at end is 34.64.

What is acceleration?

Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an item or point traveling straight forward. Due to the constant change in direction, motion on a circle accelerates even while the speed is constant.

What is static friction force?

Static friction occurs when an object is subjected to a force that is opposed by the frictional force; as a result, the object is kept at rest until the static friction force is removed. When there is kinetic friction, an object is not allowed to move.

Free body diagram

When the acceleration of the truck is maximum there is no contact between the parallels and the waves therefore, the reaction force at point "B" will be zero.

Mₐ= (ma) d

= (w* 2.5 cos 60°) = (ma 2.5 sin 60°)

=( 60*2.5 cos 60°)= (60/32.2 *a*2.5  sin 60°)

a= 15.89 ft/ s²

Equation of equilibrium in y- direction

Fy=0, Nₐ=w=60lb

Equation of equilibrium in x direction

Fₓ= max

F= mₐ (60/32.2*18.59)

f= 34.64

and as frictional force in μN

34.64=  μ*60

μ= 0.544

Therefore, the maximum allowable acceleration of the truck is 0.544, the corresponding minimum required coefficient of static friction at end is 34.64.

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Compare the probabilities for an oscillating particle in its ground state to be found in a small interval of width dx at the center of the well and at the classical turning points.
Pturning points
----------------------
Pcenter=?
I don't even know where to begin. Show work please.

Answers

the probabilities for an oscillating particle in its ground state to be found in a small interval of width dx at the center of the well and at the classical turning points is as the Pturning points is e times smaller than Pcenter.

The probability of finding the particle in a small interval of width dx around the point x (at the center of the well) is---

P (x) = |(x)|²dx

P (x) = (mωo/hπ)½ e^[(-mωo/h) *x²] dx

Putting in the values of x=0 and x=+_xo , we can compare the probabilities of the particle being in the center and of it being at the turning point, respectively

P (x=0) =(mωo/hπ)½ dx.........at center

P (x=+_xo) =(mωo/hπ)½ e-¹ dx.........at turning points

From this, we can see that the probability for the particle to be found at the turning point s is e times smaller than at the center.

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calculate the recoil velocity in the horizontal direction, in meters per second, of a 0.95-kg plunger that directly interacts with a 0.0205-kg bullet fired at 615 m/s from the gun. take the firing direction to be the positive direction.

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The recoil velocity in the horizontal direction of the plunger is 13.27 m/s

What is recoil in physics?

Recoil is the backward force or momentum produced by an object such as a gun while discharging at a very high rate of velocity.

This can be understood by the famous Newton’s third law of motion in physics.

What are Newton's laws of motion?

The three fundamental laws of classical mechanics known as Newton's laws of motion describe how an object's motion and the forces acting on it interact.

Newton's first law states that unless a net external force acts on an object, it will either remain at rest or continue moving at a constant speed.

According to the second law, an object's force is determined by multiplying its mass by its acceleration.

The third law of motion by Newton states that equal but diametrically opposed forces always act in pairs. There is an equal but opposite reaction to every action, to put it another way.

Given Data:

mass of bullet, m1=0.0205kg

velocity of bullet before firing, u1=0 m/s

velocity of bullet after firing, v1=615 m/s

mass of plunger,m2=0.95kg

velocity of gun before firing,u2=0 m/s

Let velocity of gun after firing be, v2

From law of conservation of momentum,

m1u1+ m2u2= m1v1+ m2v2

m1×0+ m2×0=0.0205×615 + 0.95×v2

⟹0=12.60+0.95v2

⟹ v2=−13.27 m/s

This means gun moves in opposite direction to bullet, which is called recoil.

Thus, recoil velocity of plunger is equal to

13.27 m/s

Here, the negative(- ve) sign shows that plunger moves in the opposite direction of bullet.

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 A large pendulum with a 200-lb gold-plated bob 12 inches in diameter is on display in the lobby of the United Nations building. The pendulum has a length of 75 ft. It is used to show the rotation of the Earth-for this reason it is referred to as a Foucault pendulum.What is the least amount of time it takes for the bob to swing from a position of maximum displacement to the equilibrium position of the pendulum? (Assume that the acceleration due to gravity is g=9.81m/s2 at the UN building.)t=________s

Answers

The bob swings from a position of greatest displacement to the pendulum's equilibrium position in the least period of time possible is 2.4 seconds.

How does the time period change when the bob's displacement increases?

As a result, the mass of the bob has no effect on the basic pendulum's time period. As a result, the pendulum's period is unaffected if the bob's mass rises.

when the mean position of a simple pendulum's bob is altered?

A simple pendulum's bob is moved from its equilibrium position O to a position Q that is h heights above O, and then it is let go. assuming the bob's mass to be m and time period of oscillations to be 2 s, the tension in the string, when the bob passes through O

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Light is emitted when an electron:
makes a transition to a lower energy level.
The electron in an atom is boosted to a higher orbit and excited. When the electron returns to its original state, it de-excites and emits a photon of light.

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When the electron changes levels, it decreases energy and the atom emits photons. The photon is emitted with the electron moving from a higher energy level to a lower energy level.

The electron absorbs the energy and jumps to a higher energy level. In the reverse process, emission, the electron returns to the ground state by releasing the extra energy it absorbed. Recall that the electrons must occupy one of the energy levels.

The electrons in an atom exist in various energy levels. When an electron moves from a lower energy level to a higher energy level, energy is absorbed by the atom. When an electron moves from a higher to a lower energy level, energy is released.

When an electron falls from a higher energy to a lower energy level, it accelerates. We know accelerating charged particle radiates energy in the form of electromagnetic radiation.

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imagine that a car drives from the bottom to the top of a hill. if the initial and final values of each property below remain constant, which of the following represent state functions in this scenario? that is, which properties do not depend on the path taken to reach that specific value. select all that apply.

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State function is the property do not depend on the path taken to reach that specific value.

As, we know the property or a feature which does not rely upon the course is known as a state characteristic. Work-achieved in adiabatic processes is equal to the bad of trade in inner power from the primary regulation of thermodynamics. So, it is a state function.

Path functions are houses or portions whose values rely on the transition of a machine from the preliminary kingdom to the final state. the two most common path functions are warmth and paintings.

From all of the above given thermodynamic quantities, work is the best property which depends at the course accompanied by using the system i.e. on the preliminary and the final states of the system. on the opposite, the rest all others i.e. internal energy, enthalpy and entropy are path independent.

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find the critical angle for a water-air boundary. predict the path of a beam of light moving from underwater towards the surface at the critical angle.

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The critical angle at the air-water boundary [tex]\theta _{c}=sin-1(1/1.33) =48.6 degree[/tex].

The critical angle can be calculated from Snell's law by setting the refraction angle  For each angle of incidence less than the critical angle some of the incident light is transmitted and some are reflected. Total internal reflection occurs when the angle of incidence at the water-air boundary exceeds 48.8 degrees.

The critical angle in optics is the maximum angle at which a ray of light traveling in a transparent medium can strike the boundary between that medium and a second medium with a lower refractive index without undergoing total internal reflection in the first medium angle.

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The block moves up an incline with constant speed. What is the total work W. Total done on the block by all forces as the block moves a distance L = 3.40 m up the incline? Include only the work done after the block has started moving at constant speed, not the work needed to start the block moving from rest.
Since the block is moving at a constant speed there is no change in kinetic energy. Since work is the change in kinetic energy and there is no change, the net work on the block is zero.

Answers

There is no change in kinetic energy because the block is travelling at a steady pace. The net work on the block is 0 since work is the change in kinetic energy, and there is none.

.kinetic energy. is the ONE of the  energy. that an object has as a result of motion. It is defined as the effort necessary to move a mass-based body from rest to the given velocity. In the absence of a change in speed, the body retains the kinetic energy it acquired during acceleration. Kinetic energy is the energy that is present in a moving object. You strolling down the street, molecules moving in space, and the planet rotating around the sun all have kinetic energy. The relationship between an object's kinetic energy and mass and square of its velocity is direct. A particle, an object, or a collection of particles can move because of kinetic energy, which is the force that drives motion.

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draw a phasor diagram, showing v1 , v2 , and vs . state the phase relationships between each pair of these phasors.

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The least interference when (A1 - A2)2 is the phase difference between adjacent slits.

What do you understand the term phasor?

A phasor is a complex number that represents a sinusoidal function in physics and engineering whose amplitude, angular frequency, & beginning phase are all time-invariant. Phasors are revolving vectors with an angular rate similar to a angular frequency of a oscillations and a length equal to a peak value of the oscillations. When illustrating the phase relationship between the two or more oscillations, they are useful. They can be used to add or eliminate oscillations.

What's a phasor diagram?

Phasor diagrams show an oscillating quantity as a rotating vector in phase space with an angular velocity equal to the original trigonometric function's angular frequency. The value of the quantity at a given moment can be determined by projecting the phasor onto an axis at that time.

Briefing:

Let A1 represent the first wave's amplitude and A2 represent the second wave's amplitude.

Let the resultant amplitude be A. Using the interference formula, we obtain,

A= (A1)²+(A2)²+ 2×A₁× A₂ (cos theta)

When theta = 180 degrees = π radian, cos π= -1

When we plug the cos theta value into the equation, we get,

A= (A1)² +(A2)² - 2×A1×A2

A= ( A1 -A2)²

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what is currently the most used trajectory strategy to maximize efficiency for modern space probe interplanetary travel?

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The typical goal is to maximize the portion of the spacecraft not used for propellant or, alternatively, to minimize the amount of propellant needed.

What is interplanetary travel?

Crewed or uncrewed interplanetary spaceflight, often known as "interplanetary travel," is the movement between stars and planets, typically within a single planetary system. In actuality, these kinds of spaceflights are limited to interplanetary travel only.

What is the trajectory?

A moving object that follows a path through space as a function of time is said to be following a trajectory. A "trajectory" is a description of an object's position over a specific period of time in mathematics.

The typical goal is to maximize the portion of the spacecraft not used for propellant or, alternatively, to minimize the amount of propellant needed. Of course, as is frequently the case in continuous dynamical system optimization, it is typically necessary to provide some reasonable upper bound for the final time; otherwise, the optimizer will substitute time for fuel.

Therefore, The typical goal is to maximize the portion of the spacecraft not used for propellant or, alternatively, to minimize the amount of propellant needed.

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calculate the amount of charge incoloumbs that flows through an electric heater in 20 mins when the ucrrent is 8 amps

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Q is the energy in coloumbs that passes through with an current heater in 20 minutes at an 8 amp current.

What's current?

Charge moves across a point on the a circuit at a rate known as current. When numerous coulombs of charge pass over a wire's cross section in a circuit, a large current is the result. if the wire is tightly packed with charge carriers.

What is the current recipe?

The electric current equation is I=V/R, and it can be used to determine electric current. This equation, which is based on Ohm's Law, is also referred to as the "current equation." The variables "I" and "V" stand for current, voltage, and resistance, respectively.

Briefing:

I=8Amph,

T=1hr=3600sec,

Charge flow Q=it

=8*3600

Q=28800C

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a vehicle with headlights separated by 1.80 m approaches an observer holding an infrared detector sensitive to radiation of wavelength 885 nm. what aperture diameter is required in the detector if the two headlights are to be resolved at a distance of 20.0 km?

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The aperture diameter required in the detector if the two headlights are to be resolved at a distance of 20.0 km is 1.2 cm.

When a vehicle approaches with separated headlights S = 1.80 m and resolved at a distance of r = 20.0 km = 2 × 10⁴ m. The angle for the headlights is
S = θr

θ = S ÷ r

θ = 1.8 ÷ (2 × 10⁴)

θ = 9 × 10⁻⁵ radians

The Rayleigh criterion for the diffraction limit is the formula to calculate the aperture and limited angle with the radiation wavelength = λ = 885 nm = 885 × 10⁻⁹ m

θ = 1.22 × (λ ÷ D)

θD = 1.22 × λ

9 × 10⁻⁵ × D = 1.22 × 885 × 10⁻⁹

D = 1.0797 × 10⁻⁶ ÷ (9 × 10⁻⁵)

D = 0.012 m

D = 1.2 cm

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What would be the orbital speed and period of a satellite in orbit 1.22 ✕ 10^8 m above the Earth?

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The orbital speed and orbital period of a satellite are 1765 m/s and 4.56 ×10⁵s.

What is orbital speed?

The orbital speed can be described as the speed at which it orbits around either the barycenter or its speed relative to the center of mass of the most massive body.

Given the distance of the satellite from Earth's surface = 1.22 ×10⁸ m

The distance of the satellite from the center of the earth:

r = 1.22 ×10⁸ m + 6.38 ×10⁶

r = 1.284 ×10⁸ m

The orbital speed of the satellite : [tex]V = \sqrt{\frac{GM}{r} }[/tex]

The mass of the earth, [tex]M = 6 \times 10^{24} Kg[/tex]

[tex]V=\sqrt{\frac{6\times 10^{24}\times 6.67 \times 10^{-11}}{1.284 \times 10^{8}} }[/tex]

V = 1765 m/s

The orbital period of the satellite:

[tex]T =\frac{2\pi r}{V}[/tex]

[tex]T=\frac{2\times 3.14\times 1.284 \times 10^8}{1765}[/tex]

T = 4.56 ×10⁵ s

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Compared to an electron in the first electron shell of an atom an electron in the third shell.

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They have more energy. One 1s orbital and two electrons are contained within the first shell. 8 electrons are located in the second shell, with 2 in a 2s orbital and 6 in three 2p orbitals.

What is a electron in an atom?The elementary electric charge of the electron is a negative one, making it a subatomic particle. Due to their lack of components or substructure, electrons, which are part of the lepton particle family's first generation, are typically regarded to be elementary particles.Electrons are fundamental to many physical processes, including gravity, electromagnetic interactions, weak interactions, electricity, magnetism, chemistry, and thermal conductivity.For neutrally charged species, the number of electrons in an atom is equal to the atomic number of an element. This indicates that an element has an equal amount of protons and electrons. Consequently, there are 8 electrons in oxygen.Three basic characteristics of an electron in an atom are charge, spin, and orbital angular momentum, the latter of which describes the electron's orbital motion around the nucleus.

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archimedes' principle can be used to calculate the density of a fluid as well as that of a solid. suppose a chunk of copper with a mass of 467.5 g in air is found to have an apparent mass of 431.4 g when completely submerged in an unknown liquid. (a) what mass (in g) of fluid does the copper displace? webassign will check your answer for the correct number of significant figures. g (b) what is the volume of copper (in cm3), using its density as given in this table? webassign will check your answer for the correct number of significant figures. cm3 (c) calculate the fluid's density and identify it. water

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Archimedes' principle can be used to calculate the density of a fluid as well as that of a solid. If a chunk of copper with a mass of 467.5 g in air is found to have an apparent mass of 431.4 g when completely submerged in an unknown liquid. (a) The mass (in g) of fluid does the copper displace will be36.1 g (b) The volume of copper (in cm3), using its density will be 51.944 [tex]cm^{3}[/tex] (c) The fluid's density will comes out to be 0.694 g/[tex]cm^{3}[/tex].

Given,

The mass of the copper chunk, M = 467.5 g

Apparent mass of the copper chunk, m = 431.4 g

According to the Archimedes' principle

(a) The mass of fluid does the copper displaces = M - m

= 467.5 g - 431.4 g

=36.1 g

(b) To calculate the density of the copper chunk we must know its density, which is 9 g/[tex]cm^{3}[/tex],

So, volume of the copper = Mass (M)/density

= 467.5/9

= 51.944 [tex]cm^{3}[/tex]

(c) The density of the fluid will be the mass of the fluid divided by the volume, which can be represented as;

Density = Mass/ volume

= 36.1/51.944

= 0.694 g/[tex]cm^{3}[/tex]

Hence, the mass of fluid does the copper displaces will be 36.1 g, volume of the copper chunk will be 51.944 [tex]cm^{3}[/tex] and density of the fluid will be 0.694 g/[tex]cm^{3}[/tex].

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suppose that hiring one, two, three, or four workers at a glass factory generates total outputs of 200, 350, 450, or 500 fancy glasses, respectively. the marginal product of the fourth worker is fancy glasses.

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If hiring one, two, three, or four workers at a glass factory generates total outputs of 200, 350, 450, or 500 fancy glasses, respectively. The marginal product of the fourth worker is 50 fancy glasses

Marginal product = ( Qn - Qn-1 ) / ( Ln - Ln-1 )

Qn = Output at n

Qn-1 = Output at n - 1

Ln = Number of workers at n

Ln-1 = Number of workers at n - 1

For the fourth worker,

Qn = 500

Qn-1 = 450

Ln = 4

Ln-1 = 3

Marginal product = ( 500 - 450 ) / ( 4 - 3 )

Marginal product = 50 / 1

Marginal product = 50

Therefore, the marginal product of the fourth worker is 50 fancy glasses

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Particle 0 experiences a repulsion from particle 1 and an attraction toward particle 2. For certain values of d_1 and d_2, the repulsion and attraction should balance each other, resulting in no net force. For what ratio d_1/d_2 is there no net force on particle 0?
Express your answer in terms of any or all of the following variables: k, q0, q1, q2.
d1/d2 =
I need help with this please. I will rate expert. I only have one try left. I get that p1 has a weaker effect on p0 than p2 because it is further away. Here are the answers I tried:

Answers

When there is no net force on the particle 0, the value of d₁/d₂ is √(q₂/q₁).

The distance of the particle 0 from the particle 1 is d₁ and the distance of the particle o from the particle 2 is d₂.

The particle 0 is experiences attraction from particle 2 and repulsion from particle 1.

The charges on the particle 1 and particle 2 are q₁ and q₂ respectively.

So, to experience no net force, the electrostatic forces on the particle 0 from both the particles should be equal, so we can write,

F₁ = F₂

Kq₁q₂/d₁² = Kq₁q₂/d₂²

Now, rearranging the equation,

d₁/d₂ = √(q₂/q₁)

So, the ratio of the distances is given as √(q₂/q₁).

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a horizontal force of 330 n is exerted on a 2.5-kg ball as it rotates (at arm's length) uniformly in a horizontal circle of radius 0.90 m. Calculate the speed of the ball!

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According to given question by applying the centripetal force, the speed of the ball is 12.18 m/s.

What does force, in brief, mean?

The definition of force in physics is: This push or draw on a massed object changes its velocity. An unseen factor is an agency that has the power to alter the resting or movement condition of a body. It has both a trajectory and a size.

What are examples of force?

There are several instances of energies in daily life, including: heft and drive (i.e. the weight of something) is force a swing applies to a ball. the pressure that a hair applies to hairs when stroking it. the pressure your foot applies to the pedal whenever you're riding your bike.

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find the frequency of revolution of an electron with an energy of 100 ev in a uniform magnetic field of magnitude 35.0 mt.

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The frequency of revolution of an electron with an energy of 100 ev in a uniform magnetic field of magnitude 35.0 mt is 9.78 x 10^5 Hz

What is cyclotron frequency?

A charged particle travelling perpendicular to the direction of an even magnetic field has a frequency that is known as the cyclotron frequency or gyrofrequency (constant magnitude and direction). The cyclotron frequency is determined by the centripetal force and magnetic Lorentz force being equal because that motion is always circular.

Kinetic Energy of the electron = 100 ev

                                                   = 100×(1.60×10^−19 J)

                                                   = 1.60×10 ^−17 J

The expression of kinetic energy of the electron in terms of the velocity-

E = mv^2/2

v = (2E/m)^1/2

 

Putting the values in the above expression we obtain the value of v,

v = ( 2 x 1.60 x 10 ^−17/ 9.1 x 10^-31)^1/2

  = 5.92 x 10^6 m/s

The radius of the circular path the electron moves inside a magnetic field is given as-

r = mv / eB

Putting the values we find,

r = (9.11×10^−31  kg)(5.92×10^6m/s)/ (1.6 x 10^-19 C)(35 x 10^-6 T)

 = 0.963 m

The orbital frequency is same as the velocity of the electron when it moves over the circular path, which is given as-

f = v / 2πr

 = (5.92×10^6 m/s)​/2π(0.963 m)

 = 9.78 x 10^5 Hz

Hence, the required frequency is 9.78 x 10^5 Hz

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what height does a frictionless playground slide need so that a 35 kg child reaches the bottom at a speed of 6.3 m/s ?

Answers

The height of the frictionless playground slide is 2.155 meters

What is kinetic and potential energy ?

An object possesses kinetic energy when it is in motion. A force needs to be applied if we want to accelerate an object. We must use effort to apply a force. The object will be moving at a new constant speed once the operation is finished and energy has been transferred to it.

Potential energy is a form of stored energy that is dependent on the arrangement of a system's components. When stretched or squeezed, a spring has higher potential energy. When lifted above the ground, a steel ball has more potential energy than when it is brought to rest on the ground.

Kinetic energy = Potential energy

K. E = 0.5m v² ; P.E = mgh

0.5mv² = mgh

Dividing both sides by m, we get ;

gh = 0.5v²

h = [(0.5v²) ÷ g]

h = (0.5 × 6.5²) ÷ 9.8

height = 2.155 m

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a container has the mass of 125g when a liquid is added the mass becomes 163g what is the mass of the liquid

Answers

the mass of the liquid is 38 grams

if you see a lightning bolt in the distance and 15 seconds elapse before you hear the corresponding thunder, how far away was the lightning bolt?

Answers

The distance of the lightning bolt from the point is 850m

What is speed of sound in air?

The speed of sound is defined as the distance through which a sound wave’s point, such as a compression travels per unit of time. The speed of sound remains the same for all frequencies in a given medium under the same physical conditions.

We can use echo formula to calculate the distance at which the sound in air travels. it is given by v= 2x/t

where v is the speed of sound in air which is 340m/s and x is the distance traveled and t is the time.

therefore,

340= 2x/5

2x= 1700

x= 1700/2

x= 850m.

Therefore the distance of the lightning bolt to the point of staying is 850m.

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What are the 10 conjunctive adverbs?.

Answers

Accordingly, also, additionally, similarly, likewise, therefore, specifically, yet, although, still, then, additionally, incidentally, next, subsequently, unquestionably, unquestionably, yet, nevertheless, therefore.

Conjunctive words: What are they?

Words that link other words or word groupings together are called conjunctions. Words, phrases, and sentences of equal significance are joined by a coordinating conjunction. There are three basic coordinating conjunctions: and, or, and but.

Which words that are conjunctions are some examples?

The term used to join words, phrases, and clauses is called a conjunction. Conjunctions come in many shapes and sizes in English, but some of the more popular ones include and, or, but, because, for, if, and when.

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The angular speed of a motor is 262 rad/s. The back emf generated by the motor is 89.4 V. Assuming all other factors remain the same, determine the back emf if the angular speed of the motor is reduced to 131 rad/s.
1) 32.3 V
2) 44.7 V
3) 52.5 V
4) 89.4 V
5) 152 V

Answers

The back EMF of the motor is 44.7 m.

We know that EMF is directly proportional to angular velocity, thus if angular velocity becomes half then the EMF also becomes half.

Number of field poles = p

Flux per pole = Ф

Number of armature conductor = Z

Number of parallel paths = A

Rotational Speed in rpm = n

Now,

Average EMF generated per conductor = dФ/dt

Flux cut by one conductor in one revolution = dФ = pФ Weber

Number of revolutions per second = N/60

Time required for one revolution = t

= t = dФ/dt = ( pФN ) /60 sec

EMF generated per conductor = dФ/dt = ( pФN ) /60 Volts

The EMF generated in one conductor of the generator. The conductors are connected in series per parallel path, and the emf across the generator terminals is equal to the generated emf across any parallel path.

Thus,

= E = ( pФNZ ) /60 Ampere

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Calculate the angular momentum of a olid uniform phere with a radiu of 0. 115 m and a ma of 15. 0 kg if it i rotating at 5. 70 rad/ about an axi through it center

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The angular momentum of a solid uniform sphere of radius 0.115 m and mass 15.0 kg if it rotates about an axis at its center at 5.70 rad/s

A uniform solid sphere of radius (r) = 0.115m

Mass of sphere (m)= 15kg

Rotation speed = 5.70 rad/s about an axis at its center

To find the angular momentum about its axis L =IW

I = moment of inertia = 2/5mr^2

W= speed of rotation

L= (2/5)*15*0.115*0.115*5.70

L = 0.452295kgm2/s

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The capacitors in each circuit are fully charged before the switch is closed. Rank, from longest to shortest, the length of time the bulbs (resistors) stay lit in each circuit.
(picture)

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The idea here is to simplify circuit analysis by using resistors and capacitors. Using the time constant for every circuit, rank the circuits from longest to shortest. The circuit's time constant is ranked as follows: C > A = E > B > DC > A = E > B > D.

A capacitor is a device that stores electrical energy in an electric field by building up electric charges on two nearby surfaces that are isolated from one another. It has two terminals and is a passive electronic part.

Capacitance is the name for a capacitor's effect. While there is some capacitance between any two electrical conductors that are close to one another in a circuit, a capacitor is a component made to increase capacitance. Condenser is still used in a few compound names for the capacitor, like condenser microphone. Capacitors are made from a wide range of materials and come in a wide variety of shapes, sizes, and designs. They all have at least two electrical conductors, known as plates, separated by an insulating layer (dielectric).

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A person pulls a block across a rough horizontal surface at a constant speed by applying a force F The arrows in the diagram correctly indicate the directions, but not necessarily the magnitudes of the various forces on the block: Which of the following relations among the force magnitudes Wk, N and F must be true? (a) F = k and N = W. (b) F = k and N > W, (c) F < k and N = W. (d) F > k and N < W. (e) None of the above:

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The relations among the force magnitudes Work, k, N and F is none of the above.

What is force?

Force is the push or pull on any given object that can change the velocity of the object. It has both magnitude and direction which has the formula F = ma, where F is force, m is mass and a is acceleration.

Let the force be at angle θ to be horizontal. The block is in equilibrium, so

∑Fx = 0

F cosθ - k = 0

F = k secθ (> k)

∑Fy = 0

F sinθ + N -W = 0

N = W - F sinθ (<W)

Therefore, the relation of force magnitudes can be written as F>k and N<W, the correct answer is e).

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We usually think about friction as a force that opposes motion, but under some circumstances it can be the force responsible for making an object accelerate. For example, consider hauling a log in the back of a flatbed truck. If there were no friction between the log and the truck, then when the truck accelerates the log would have no force acting on it to make it accelerate also, so it would just stay at rest and the truck would 'drive out from under it'! However, in reality there is friction between the log and the truck and so, providing the log does not slip, we rely on the static frictional force to make the log accelerate at the same rate as the truck.

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The frictional pressure opposes the movement of an item relative to its floor in contact unto which the force act upon.

However, the course of frictional pressure can be similar to the course of movement of the item. For example, at some point of on foot we observe a pressure withinside the backward course with our foot. When we carried out brake to the auto friction acts in contrary course of movement like if the auto circulate in east course the friction will act in west course.

We can say that friction act in contrary course hence,it continually opposes relative movement. Friction continually acts in contrary course to motion i.e it opposes the movement of an item. Air resistance is a frictional pressure which opposes movement thru air.

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the drill used by most dentists today is powered by a small air-turbine that can operate at angular speeds of 350000 rpm. these drills, along with ultrasonic dental drills, are the fastest turbines in the world-far exceeding the angular speeds of jet engines. suppose a drill starts at rest and comes up to operating speed in 2.2 s . you may want to review (pages 305 - 307) .

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The angular acceleration of the drill is 2651.5 rotation/s².

We need to know about angular acceleration to solve this problem. The angular acceleration can be defined as the change in angular speed per interval of time. It can be written as

α = dώ / dt

where α is angular acceleration, dώ is change in angular speed and dt is interval of time.

From the question above, the given parameters are

ώ = 350000 rpm

t = 2.2 s

Change the angular speed unit to rotation per second

ώ = 350000 rpm

ώ = 350000 / 60 rps

ώ = 5833.33 rps

Find the angular acceleration

α = dώ / dt

α = 5833.33 / 2.2

α = 2651.5 rotation/s²

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A 1.0kg block is placed on a 6.0kg wedge as shown. The block slides down the wedge and then to the right on the frictionless surface. The wedge moves to the left (without friction).If the speed of the wedge when the block reaches the flat surface is 0.28ms , what is the height of the wedge?

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The wedge moves to the left (without friction) If the speed of the wedge when the block reaches the flat surface is 0.28ms, the height of the wedge is 5m

A wedge is a simple machine that uses a small force P to lift a heavy weight W. To calculate the force required to push the wedge in or out, draw FBDs of the wedge and the object on top of it. = 0 to the wedge and the object, as well as the frictional equation for impending motion, F = S N. The desired angle of correction () and the actual tibial width () are used to calculate the actual wedge height (y) (x). Actual tibial width should be measured at 2.02.5 cm distal to the joint line and normalized based on magnification. Wedge Volume = Cross Sectional Area x Tank Breadth.

Distance needs to be calculated in meters

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