an 8.0 kg object has a moment of inertia of 1.00 kg m2. what torque is needed to give the object an angular acceleration of 1.5 rad/s2?

The oscillator's mass (m) and stiffness (k) are used to calculate the critical damping coefficient (cc) using the following formula: cc = 2(km).

The mass is increased to the starting amplitude position A0 before being let go. In a fluid with viscosity, the mass oscillates about the equilibrium position, but the amplitude gets smaller with each oscillation. According to this website, the formula for the damping force,

Fd, is Fd=-cv,

=100 * 60/30

=600

where c stands for the damping coefficient and v for the velocity. According to Hooke's Law, a spring's force is proportional to how far it has moved from its rest position. Where F is the force applied by the spring, F = -k * x x

is the displacement of the spring from rest in meters, and k is the "spring constant."

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Answer:

If we lived in a system with only one planet, Kepler's Third Law could never be discovered observationally.

The second vaulter clears the bar at speed of 7.43   m/s.

Velocity is the directional speed of an item in motion as an indication of its price of change in role as located from a particular body of reference and as measured by a specific general of the time.

The velocity of the first vaulter at jump   v1   =   7.50   m/s

   Horizontal component of v1         v1x   =   v1 * cos ?1

  1.00   =   7.50 * cos ?1

   ?1   =   cos-1 (1.00 / 7.50

        =   82.340

   Hence vertical component   v1y   =   v1 * sin ?1

 =   7.5 * sin 82.340

 =   7.43   m/s

Since both vaulters rise to the same height, their initial vertical velocity is the same. i.e.

  v2y   =   v1y   =   7.43   m/s

  then      v2y   =   v2 * sin ?2

        ?2   =   sin-1 (7.43 / 7.70)            

given    v2   =   7.70   m/s

                  =   74.780

Hence velocity of the second vaulter as he clears the bar   v2x   =   v2 * cos ? 2

  =   7.70 * cos 74.780

 =   2.02   m/s

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Energy is transferred by collisions during conduction and a)heat is transferred between particles.

Conduction heat transfer is the transfer of heat through matter without bulk motion of the matter. We can also say that, conduction is the transfer of energy from the more to less energetic particles of a substance due to interaction between the particles.

Process by which heat energy is transmitted through collisions between neighboring atoms or molecules is called conduction.

In conduction, heat is transferred through the vibration of molecules and as something gets warmer, it increases the vibration and movement of the molecules . Particles are closely packed together and are in direct contact in solids.

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The weight will be 80N.

Given :- Weak Gravitational field of moon relative to earth ,

F=1.6N

To find : Weight of a 50Kg mass on Moon .

Principle - Weight and mass although sounding same has different roles in Physics . Mass is the amount of matter that is utilized to build a material while talking about weight means its inclusive of an exertion of earth with the application of mass. Mathematically weight w= mg [Product of mass and gravity ]

Now in this question using basic unitary method we can resolve the ask of question. For example cost of one pen is 2rupee then cost of 2 pens is 4 rupees.

Reasoning- As per question , weight of 1 kg = 1.6N

so weight of 50Kg= 1.6 x 50⇒80N

Hence the amount of 80N equivalent weight is computed.

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with 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.

What is centripetal force?

A net force called a centripetal force keeps an object moving in a circle by acting on it.

Given,

Radius of Loop, r = 13.2 m

without the strap, roller coaster must have complete the loop.

At highest point

weight will provide centripetal force just to complete the loop

Thus mg = mv²/r

where v = minimum velocity possessed by roller coaster in order to cover the loop

v =  [tex]\sqrt{gr}[/tex]

v = [tex]\sqrt{9.8 X 13.2}[/tex]

v = [tex]\sqrt{129.36}[/tex] = 13.06 m

Therefore, with 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.

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With 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.

What is centripetal force?

A net force called a centripetal force keeps an object moving in a circle by acting on it.

Given,

Radius of Loop, r = 13.2 m

without the strap, roller coaster must have complete the loop.

At highest point

weight will provide centripetal force just to complete the loop

Thus mg = mv²/r

where v = minimum velocity possessed by roller coaster in order to cover the loop

v =  √9r

v = √9.8×13.2

v = √129.36 = 13.06 m

Therefore, with 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.

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Magnetic flux is zero

Magnetic flux (B) =

Magnetic field x area x cosစ

And စ being the angle between magnetic field and area vector

So we are given စ= 90°

B = magnetic field x area x cos(90)

B= 0

The quantity of magnetic field lines that travel through a specific closed surface is known as the magnetic flux. It offers a way to measure the total magnetic field that traverses a specific surface area.

The quantity of magnetic field lines that flow regularly through a surface is known as the magnetic flux associated with that surface. Weber is the SI unit for it.

The magnetic flux equation is provided by. When B = B A Cos,

The magnetic flux alters as the surface oscillates or spins between two poles of a magnet. According to Faraday's law, a change in magnetic flux results in the creation of an induced electric current with an electromotive force, or EMF.

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No, the kinetic energy of the electron will not change.

The electron receives no work from the magnetic force. In actuality, the magnetic force's work is provided by:

where F is the magnetic force, d is the electron's displacement, and is the angle between the force's direction and the electron's motion.

However, because the magnetic pull is always perpendicular to the charged particle's direction and velocity, there is no work done.

The work-energy theorem states that the change in an electron's kinetic energy is equal to the work that has been done on it; therefore, because there has been no work done, the electron's kinetic energy has not changed.

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The magnitude of the force that the object exerts on the child is 100 N.

Calculation:-

mass of object = 50 kg

Force exerted by child = 100 N

From newton's third law of motion, equal and opposite force is applied.

Hence, force the object exert is same 100 N.

Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e, to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.

The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.

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The frame interval will be 1/60th of a second.

Solution:

60f = 1sec

1f = x

x = 1/60 sec.

The 24 frames per second standard are prevalent in film and video technology. This frame rate allows a video from a series of images to be perceived as a fluid whole. The I-frame interval configures the number of fields that occur between frames in the video stream.

A timeframe is defined as a span of seconds minutes days, hours weeks months, or years in which something occurs or occurs. For example, a project with a two-week deadline indicates a timeframe. A time interval is the length of time between two specific points in time. For example, The time difference between 3:00 and 4:00 is 1 hour.

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The dwarf planet Eris orbits the Sun every 557 years. The average distance (semimajor axis) from the Sun is 67.7 a.u.

A line segment that passes through the center and periphery foci and terminates at the broadest points of the perimeter is known as an ellipse's main axis in geometry. The semi-major axis goes from the center via a focus and out to the periphery since it is one of the main axes. In essence, it is the radius of an orbit at its two farthest points. The radius serves as the semi-major axis for the unique instance of a circle. The semi-major axis can be compared to the long radius of an ellipse.

A line segment associated with most conic sections, such as ellipses and hyperbolas, and which forms right angles to the semi-major axis is known as the semi-minor axis (a semi-minor axis).

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Yes, as the car's speed rises, the acceleration will also. rate of change of velocity with time, both in terms of speed and direction

An object has positive acceleration when it is going faster than it was previously. Positive acceleration was demonstrated by the moving car in the first scenario. The acceleration will be in the same direction as that of the car's motion since the vehicle is moving ahead and accelerating.

Acceleration is the product of velocity and time. Therefore, velocity must be constant if acceleration is zero. Currently, that constant might be anything, such as 5 m/s. Additionally, a zero velocity also means a zero acceleration.

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The term "visual weight" refers to a visual power that emerges from the contrasts of light among some of the individual visual elements that make up an image.

Associating numerals with quantities and events is the process of measuring. The sciences, engineering, building, and other technological professions, as well as practically all daily activities, all depend on measurement.

Comparing a physical quantity to a recognized standard amount of the same kind is the activity of measurement. For instance, measuring length with Vernier Calipers and determining wire diameter with a screw gauge.

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Rank in order, from largest to smallest, the currents i1 to i7 at points 1 to 7 is I₄=I₇>I₁>I₂>I₃>I₄>I₅>I₆

Electric current refers to the perpetual motion of electrons in wire. Electric current for solid conductors is the flow of directed, negative-to-positive electrons from one atom to the next. Electrons and protons travel in the opposite directions in conductors such as liquids and gases where electric current is concerned. Electricity comes in two different forms: direct current (DC) and alternating current (AC) (AC). Electrons move just one way in direct current. DC is generated by batteries. Electrons flow both ways in alternating current. Always moving in the opposite direction are electrons. By convention, the direction of an electric current is the direction that a positive charge would move. Higher electric potential to lower electric potential is the direction in which current flows. Electrons move from a negative potential to a positive potential, and vice versa.

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After using the heat capacity 1130220 J temperature change be than the temperature change of the other metal.

What is heat capacity?

A physical feature of matter known as heat capacity or thermal capacity is the quantity of heat that must be applied to an object in order to cause a unit change in temperature. J/K is the metric unit for heat capacity. A broad property is heat capacity.

Q = m c dT

for constant heat, increased temperature observed in the material of lower heat capacity.

so the silver will be the correct answer.
dTs / dTa = 0.9 / 0.233 = 3.86
Q = 3* 4186* (90 - 0)
Q = 1130220 J

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If the total resistance is to be same, then the diameter of the new wire should be two times of the replaced wire.

The resistance of a wire is given by,

R = 4pL/πd²

Where,

R is the resistance,

p(rho) is the resistivity,

L is the length of the wire,

d is the are diameter of the wire.

The length of the replaced wire is four time of the previous wire and it is made up of same material. So, the resistivity will be same and it is said that the resistance has to be same,

So, we can write the new diameter d' in the relation as,

R = 4p4L/π(d')²

d'² = 4(4pL/πR

Putting, (4pL/πR) = d²,

d'² = 4d²

d' = 2d

The new diameter has to be two times of the previous diameter.

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The correct answer of mass of the block is 16.379 Kg.

How is energy conserved in a spring?

The mass's kinetic energy is converted into elastic potential energy as the spring contracts and it slows down. The complete amount of mechanical energy is conserved throughout this transformation.

Energy is conserved for the block-spring system between the maximum-displacement and the half-maximum points:

(K+U)i=(K+U)f

0+1/2  kA²=1/2 mv²+1/2 kx²

0.5 (3.3 N/m) (0.058 m) ²=1/2 m (0.26 m/s) ²+1/2(3.3 N/m) (2.90×10−² m) ²

=> 0.555 = 0.0338 m + 0.00138

=>   mass = (0.555 – 0.00138) / 0.0338 = 16.379 Kg                  

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Statements A and B have correctly described the information provided by quantum numbers.

A. The quantum number "n" indicates the principal energy level of an orbital.

B. The quantum number "l" indicated the shape of an orbital.

In quantum physics and chemistry, quantum numbers describe values of conserved quantities within the dynamics of a quantum system. Quantum numbers correspond to eigenvalues of operators that shuttle with the Hamiltonian—quantities that can be recognized with precision at the equal time as the system's strength—and their corresponding eigenspaces. collectively, a specification of all the quantum numbers of a quantum device absolutely symbolizes a basic kingdom of the system and might in principle be measured collectively.  

A crucial thing of quantum mechanics is the quantization of many observable quantities of the hobby. This leads to quantum numbers that take values in discrete units of integers or half-integers; even though they might technique infinity in a few instances. This distinguishes quantum mechanics from classical mechanics in which the values that signify the gadget which include mass, price, or momentum, all vary constantly.

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The acceleration of the car is 0.75 m/s².

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

Calculation:-

v = u +at

a = (v - u)/t

   = (32.5 - 28)/6

    = 0.75 m/s²

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Answer:

1200m

Explanation:

700+500=1200m

Yeah. Plants have hormones. There are five major types of plant hormones: auxins, cytokinins, gibberellins, ethylene, and abscisic acid.

-_-

The magnitude of the induced voltage in the coil is 2.06 V, 1.54 rad/s and perpendicular is 0.141 uA.

What is magnetic field?

The magnetic field is the region where the force of magnetism acts on a magnetic substance or a moving electric charge. a magnetic field diagram that shows how the magnetic force is distributed both inside and outside of a magnetic material.

What is magnitude?

Magnitude is "distance or quantity," to put it simply. It displays an object's size or motion in either an absolute or relative sense. It is a means of describing the size or breadth of something. Magnitude typically refers to a length or a size.

A=(6.9*10^-2)^2 =4.761*10^-3 m^2

E=NAB/t

E=3064*0.24*4.761*10^-3/1.7

E=2.06 V

A=L^2 =(2.43^2-0..51^2)=5.6448

E=(1/2)BAW

W=2E/BA

W=2*6.5/(1.5*5.6448)

W=1.54 rad/s

B=uoI/2pid =(4pi*10^-7)*9/2pi*13

B=1.3846*10^-5 T

E=BLV =1.3846*10^-5*0.7*0.2

E=1.94*10^-6 V

I=E/R =1.94*10^-6/13.8

I=0.141 uA

Therefore, the magnitude of the induced voltage in the coil is 2.06 V, 1.54 rad/s and perpendicular is 0.141 uA.

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The following forms of electromagnetic radiation in order of increasing wavelength: clear all infrared visible microwave shortest wavelength second longest wavelength longest wavelength visible<infrared<microwave.

In physics, the wavelength is the spatial period of a periodic wave—the gap over which the wave's form repeats. it is the distance between consecutive corresponding points of the identical segment at the wave, including two adjoining crests, troughs, or 0 crossings, and is a feature of both touring waves and standing waves, in addition to other spatial wave styles. The inverse of the wavelength is known as the spatial frequency. Wavelength is generally detailed with the aid of the Greek letter lambda (λ).

The term wavelength is also every now and then applied to modulated waves, and to the sinusoidal envelopes of modulated waves or waves formed by means of interference of numerous sinusoids. Assuming a sinusoidal wave moving at a hard and fast wave speed, wavelength is inversely proportional to frequency of the wave: waves with higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths.

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Mike is swinging from a vine. The net force on Mike will be vertical upward at the bottom of the swing.

A centripetal force is a force that causes a body to move in a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the path's instantaneous center of curvature.

Mike is on a swing, which means he must take a circle course. In a circular motion, centripetal force acts towards the motion's center, allowing it to travel in that direction.

As a result, the net force at each point on the circular part will be towards the center. The direction of net force will be vertical upward at the bottom position.

Therefore, the net force on Mike will be vertical upward at the bottom of the swing

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The density of a cube that measures 1. 00 cm on each side and has a mass of 2. 0g is 2 g/cm³.

calculation:-

length of each side = 1 cm

The volume of a cube = length × breath × height

                              = 1 × 1 ×1

                              = 1 cm³

mass = 2 g

Density = mass/ volume

             = 2/1

              = 2 g/cm³

Density is the substance's mass consistent with the unit of quantity. The symbol most customarily used for density is ρ, despite the fact that the Latin letter D can also be used. Density is the size of ways tightly a cloth is packed together. it's far defined as the mass consistent with unit quantity.

ρ = m/V, wherein ρ is the density, m is the mass of the item and V is the quantity of the object.

The density is of two types, one is absolute density, and the alternative is relative density. Relative density is also called unique gravity, which is the ratio of the density of a material to the density of a reference material. typically, the reference fabric is water.

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The acceleration, Distance is 7.407 m

What is acceleration?
The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities and accelerations. The direction of the net force acting on an object determines the direction of its acceleration.

Let the west direction is positive so the east direction is taken as negative.

initial velocity, u = 6.5 m/s
Final velocity, v = 1.5 m/s
acceleration, a = - 2.7 m/s^2
Let it travels a distance s during this acceleration.
Using the third equation of motion, we get

v²=u²+2as
1.5²= 6.5²-2x 2.7 xs
s = 7.407 m

Thus, the distance traveled is 7.407 m.

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The mechanical energy can be calculated by the sum of the kinetic energy and the potential energies,  θ = 9.8º

here, the case that there is no friction, this energy is constant

The kinetic energy is:        K = ½ m v²

The potential energy is:    U = m g (y-y₀)

The mechanical energy is Em = K + U

Where we know,

m is mass

v is linear velocity

g is the acceleration of gravity

y height.

The formula for simple harmonics motion for small angles -

θ = θ₀ cos (wt + Ф)

here,

θ is the angle of motion

w is the angular velocity

t time

Ф a phase constant

This indicate the system that has a length of

l = 1.0 m

which is released at the angle of θ₀ = 20º (π rad / 180º)  = 0.349 rad

Velocity is defined by the change in position or angles with respect to time.

 w = -θ₀  w sin (wt + Ф)

we know,  initial movement for

time t = 0 the velocity = 0

 0 = - θ₀  w sin Ф

The angular velocity is given  as

w² = g / l ( g = 9.8)

w = 3.13 rad/sec

Expression for the energies

K = ½ m v²

Linear and angular variables are related.

v = w l

calculations,

K = ½ m l² w²

the expression for the angular velocity.

K = ½ m l² ( -θ₀ w sin  wt) ²

for the potential energy, where we make the initial height  = 0

 U = m g θ₀ cos wt

kinetic energy = potential energy

K = U

½ m l² θ₀² w² sin² wt = m g θ₀ cos wt

when we solve this, we get

 θ = wt

when we calculate,

 sin² θ = 29.8/ 1^20.3493.13^2

sin² θ = 5.73  cos θ

The solution of

 θ' = 1.4 + 2π n        n= 0, 1, 2, ...

First occurs for n = 0

 θ = 1.40 rad = 80.2º

angle measured from vertical components-

θ = 90- 8.02

θ = 9.8º

we can say, by taking in account of definition of energy and simple harmonics motion, we can find the results for point at which KE and PE is equal.

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Answer:

the change in length of the spring.

Explanation:

E = W = 1 ⁄ 2kx²

The amount of work the spring performs is influenced by its length change. Equal amounts of compression and extension result in the same amount of work being completed by the spring.

The diameter of the coil turns, the number of turns per unit length, the total length of the spring, and the stiffness of the spring material will all affect the spring constant. It also depends on the thickness of the wire from which the spring is wound. Work performed by a Spring: When a spring is extended or compressed, it applies force to the object that is doing the stretching or compression. It is possible to employ this force to convert an object's energy into elastic potential energy.

Let's lengthen the spring a little way, say d x dx dx. If F is the force used to stretch the spring, then the work involved in doing so is given by the equation d W = F d x, dW=Fdx, and dW=Fdx.

Positive work is produced when a spring is stretched or compressed. Reason: When force is applied and displacement is in the same direction, work is said to be positive.

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The sets of vectors that may represent the momenta of two objects after the collision is shown in the image attached.

If a moving object strikes an object at rest at an angle, after collision both the objects will move at right angles to each other. The final momentum vector may or may not be same in magnitude. If the moving object strikes the stationary object head on instead of at an angle, the moving object will become stationary and the stationary object will follow the moving object path. In this scenario both the objects are considered to have same size and mass.

If the object have different size, they bot will move at different velocities. If the moving ball is bigger, they both will move in the same direction. If the stationary ball is bigger, the stationary ball will follow the path of moving ball and the moving ball will go in exactly opposite direction.

Therefore, the sets of vectors that may represent the momenta of the two objects after the collision is shown in the image attached.

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Answer:

One arrow slightly up and to the right; one arrow slightly down and to the right.

Explanation:

Look at the picture.

In this case if the velocity is too low, it might not feel a normal force at all, which means losing contact with the track.

How do we find the minimum height in terms of r.

Initial height can be defined as the minimum height attained by any object during its motion.

Using the energy conservation found in the first part, we can calculate the minimum height.

mgh = mg2R+ ½ mv2

mgh = mg2R + ½ m(gR)

gh = g2R + ½ (gR)

h = 2R + ½ R

h = 5 R/ 2

Hence, the given height will be h = 5 R/2.

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