a compound microscope has objective and eyepiece focal lengths of 6.0 mm and 1.6 cm , respectively. if the lenses are 8.6 cm apart, what is the magnification of the instrument?

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.

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

-_-

Answer:

1200m

Explanation:

700+500=1200m

Ignoring the Friction, the Acceleration of the block would be 2 [tex]ms^{-2}[/tex].

The relation of force with mass and acceleration is given by :

Force = Mass  *  Acceleration

Here the Force is 10N and the mass of the block is 5 Kg so substituting the values in the formula we get

Acceleration =  [tex]\frac{Force}{Mass}[/tex]  =  [tex]\frac{10}{5}[/tex] = 2 [tex]ms^{-2}[/tex] .

What is force-

According to physics. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P).

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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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center of mass of a solid hemisphere of radius R is 3R / 8 and the Mass of the solid is M.

An elemental disc at a height of h from the base of the hemisphere is taken.

The mass of the elemental disc is taken dM

and the width is taken dy.

et the solid hemisphere be of mass M and has the radius R.

The center of mass will lie vertically which passes through the center of the hemisphere.

Taking the elemental disc at a height h from the base of the hemisphere’s base. The DM is the mass of the elemental disc and the width is dy.

the radius of the disc is:

R = R²- y²

Mass of the disc dM

= (3 M/ 2π R³) × ( πr² dy )                                   …..(2)

eq.(1)   in    eq.(2)..................

 dM = ( 3M  /  2 π  R³ ) ×  π (  R²  –   y²  )   dy)

Y - coordinate  of Centre of mass,

 Yc  =   (1 / M)  ഽ y  dM

Here y is the y - coordinate representing the height of the elemental disc from the base.

Putting the dM and calculating the center of mass, we get

yc= (1/M) ഽ  y(3M  /2 R^3) × ( R^2  -  y^2) dy)

Integrating between    0⟶R

yc = (1/M)   ഽ y  (3M / 2 R^3) × (R^2  -  y^2) dy)

yc = (  3/2r^3  )  ഽ × (R^3 y-  y^3 ) dy

   = (  3/  2R2)[ (R4 / 2 ) – ( R4 /  4)] = 3R / 8

yc =  3 R /8

Centre of Mass of solid hemisphere (yc) = 3 R / 8.

Mass of solid  =  M

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A push or pull on an object is a force. All of the forces operating on an object are added together to form a net force. When an object is subject to a net force, the object will change its speed in that direction. The acceleration of an object reveals how much it accelerates or decelerates.

We can determine what occurs with the acceleration and force while maintaining the mass constant.

A connection between the mass of the cart and its acceleration. Taking into consideration Newton's second law, which states that

force = mass × acceleration

As a result, the force will change if the acceleration does. Keeping the mass constant will allow us to determine how changing the acceleration will affect the force. Once the mass is kept constant, you can determine what will happen. Therefore, if we want to maintain the acceleration constant while also changing, we must alter the mass of the car. This means adding mass to the cart—whether it be in the form of mass blocks or larger carts—or otherwise altering its mass.

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The flow speed in the wider section of horizontal pipe is 3 m/s

Based on the Law of Continuity which states that a flowing fluid will have a constant discharge, where this discharge has a formula:

Q = A × v

where

Q = fluid discharge (m³/s)

A = pipe area (m²/s)

v =  fluid speed (m/s)

From that formula, we can solve the problem by the formula of Q1 = Q2, here it is

A1 x v1 = A2 x v2

(π · r²) x 12 = (π · (2r)²) x v2

r² x 12 = (4) r² x v2

v2 = 12/4 m/s

v2 = 3 m/s

v2 is the speed from the pipe section that widens to twice from its original radius.

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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 value of work done on an object when a 70-newton moves it 9.0m in the same direction as the force is 6.3 * 10^2 J

In physics, it measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement. In its simplest form, for a constant force aligned with the direction of motion, it equals the product of the force strength and the distance traveled.

How to calculate the value of work done on an object?

The formula for work (w) done is = force * distance

f = 70 N

d = 9 m

w = 70 × 9m

w = 630 J = 6 × 10² J

work is positive because work is being done on the object.

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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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image is formed at a distance 10 cm in front of the mirror

the focal length of concave mirror is 8cm.

What is concave mirror ?

A concave or converging mirror has a reflective surface that is recessed inward (away from the incident light). A concave mirror reflects light inwards towards a focal point. They are used to focus light. Unlike convex mirrors, concave mirrors display different types of images depending on the distance between the object and the mirror.

The mirror is called a "collecting mirror". This is because they tend to collect the light that hits the mirror and refocus the parallel incident rays to a focal point. This is because the normal to the mirror surface is different at each point, so light is reflected at different angles at different points on the mirror.

Given u=40 cm (negative)

m=14 (negative for the real image)

a. From m=−vu,−14=−v(−40) or v=-10 cm

Thus the image is formed at a distance 10 cm in front of the mirror.

b. Now from relation 1u+1v=1f

1f=1(−40)+1(−10)

=−540

or f=−405=−8cm

i.e., the focal length of concave mirror is 8cm.

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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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Using induced emf inside the magnetic field which is Faraday’s Law of Induction, we can calculate the number of turns a coil wrapped around the outside of the solenoid should have is 127 turns to induce 15v.

According to the Faraday’s Law of Induction, Faraday's law of induction is a basic law of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force (emf) a phenomenon known as electromagnetic induction.

Induced emf = N ( dФ / dt )

where, N is the number of coil

and dФ is the change in magnetic flux

again, as we know,

dФ / dt  =  A (db/dt)

so, Induced emf = N A ( db/dt )

where A is the area of solenoid

Area of solenoid = πr² = π * ( 0.125 )²    (diameter is 25cm)

putting the appropriate values, we get

15 = N x π x ( 0.125 )² x 2.4

N = [tex]\frac{15}{\pi * 0.015625 * 2.4}[/tex]

N = 15/0.11775

N = 127.38

N = 127 turns

hence 127 turns is needed to generate 15 v emf.

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Yes, the force that will stretch is rights to the breaking point equal to 5000 N. Because the longer wire will аlso breаk аt 5000 N. The force per unit аreа is the sаme in both cаses.

When а stress is аpplied to а piece of mаteriаl, the mаteriаl undergoes а corresponding deformаtion or strаin. Under а tensile stress, the mаteriаl stretches. Initiаlly, the аmount by which it stretches is proportionаl to the аpplied force. Thаt is, the mаteriаl obeys Hooke’s Lаw, which is expressed by the equаtion F = -kx, where k is а constаnt аnd x is the chаnge in the length of the mаteriаl.

Your question is incomplete, but most probably your full question was

A wire is stretched right to the breaking point by a 5000 N force. A longer wire made of the same material has the same diameter. Is the force that will stretch it right to the breaking point larger than, smaller than, or equal to 5000 N?

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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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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 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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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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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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The kinetic energy of an object will be halved when the mass is cut in half.

Kinetic energy may be described as the energy that an object possesses due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change.

Kinetic energy (KE) is the energy that moves matter. Everything that moves has kinetic energy. The amount of kinetic energy of a moving object is directly related to its mass and velocity.

KE = 1/2 mass × velocity²

For the given question:

Since,

KE = ¹/₂ mv²

If mass is cut in half i.e m/2, then the KE will be:

KE = ¹/₂ m/2 v²

KE = ¹/₄ mv²

KE =  ¹/₂ (¹/₂ m/2 v²)

This indicates that kinetic energy is halved as the mass is cut in half.

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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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The wavelength of UV radiation is longer than that of x-rays and gamma rays but shorter than that of radio waves, microwaves, infrared, and visible light.

The frequency of UV radiation is higher than that of radio waves, microwaves, infrared light, and visible light, but it is lower than that of x-rays and gamma rays.

UV radiation has a lower level of hazard.

Wavelength:

Distance between the crests of two waves, or from one wave's point to the same of the second.  

Frequency:

Wavelength and frequency are inversely proportional, the larger the wavelength the lesser the frequency

Energy: The relationship between frequency and energy is straightforward.

From longest to shortest wavelengths, this is a list of electromagnetic waves.

Radio wave, Microwave, Infrared, Access to light, Ultraviolet rays, X-ray, Gamma rays

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As a shot putter in track,  if you want to throw far then throw it fast and at angle approximately 45 degrees.

As a thrower spins, his body acts as an axis of rotation and therefore, farther the object is from the axis of rotation, larger is its moment of inertia.

The angle of release in the shot-put event is of great importance. The estimation of the optimum angle of release such that the distance thrown is maximized is a  key. Theory has shown that the optimum angle of release is between 41 to 43 degrees.

Release velocity is also a important factor in determining the distance of a throw. Release velocities of about 13 m/s are necessary for elite-level throws.

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The mass of the block on the frictionless horizontal surface is 5 kg.

The mass of the block is determined by applying Newton's second law of motion:

F = ma

The given parameters are

the magnitude of the first force, F₁ = 12 N

the magnitude of the second force, F₂ = 2 N

acceleration of the block, a = 2 m/s²

So, determining the mass of the block is

F = ma

∑F = ma

F₁ - F₂ = ma

12 - 2 = 2m

10 = 2m

m = 5 kg

Thus, the mass of the block on the frictionless horizontal surface is 5 kg.

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With the use of equation of motion formulas, the time taken for him to fall is 0.64 s and his final velocity when hitting the floor is 6.3 m/s

The motion of an object under gravity is the vertical motion of the object under the influence of acceleration due to gravity.

Given that a man falls 2.0 m to the floor and it is assumed that downward direction to be the negative direction.

To know how long it will take the object to fall, we will make use of the formula h = ut + 1/2gt²

Where

Substitute all the parameters into the formula

2 = 1/2 × 9.8 × t²

2 = 4.9t²

t² = 2/4.9

t² = 0.408

t = √0.408

t = 0.64 s

His velocity when he hits the floor can be calculated by using the formula

v = u + gt

where u = 0

v = 9.8 × 0.64

v = 6.3 m/s

Therefore, it takes 0.64 s to fall and his velocity when he hits the floor is 6.3 m/s

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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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