What does net force equal?.

The transitional speed of the rotating is 33.8 rad/s

The term "angular momentum" refers to the characteristic of any rotating object that is determined by the product of the rotating item's angular velocity and moment of inertia. It is a vector with a direction and a magnitude. The rotation and revolution of the Earth are common instances of angular momentum.

The angular momentum of a body in classical mechanics is a vector that can have any length and any direction. Imagine a bicycle wheel spinning. The direction of its angular momentum is along its axle, and the length of it is proportional to its angular velocity (number of revolutions per unit time).

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The correct answer is : Option E : total mechanical energy

Any location (in our case, the x location) as a function of time, with the following two components, can be used to express simple harmonic motion: Amplitude: The distance between the motion's center and either extreme. Period: The length of time it takes for a motion to complete one cycle.

The greatest deviation from the mean position is the amplitude of oscillation for a body that oscillates. It is the distance between the peak or trough of the wave and its mean position. The loudness of a sound will increase with increasing sound wave amplitude.

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Kepler's third law, p^2 is a^3, means that the square of the total time period of a planet's revolution the sun is directly proportional to the cube of its mean distance from the Sun.

The orbits of planets around the Sun are described by Kepler's laws of planetary motion, which he published between 1609 and 1619.

A planet's orbit is an ellipse with the sun at one of its foci. Equal areas are covered by the position vector r(t) from the sun to the planet in an equal amount of time. The semi-major axis of an orbital planet's semi-major period of revolution around the sun is proportional to the cube of that semi-major period's length.

They were essential in the discovery of dark matter in the Milky Way and have been used to forecast the orbits of several objects, including comets and asteroids.

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Like classical novae , X-ray bursters suddenly brighten when accreted material hits the surface of the compact object and undergoes runaway nuclear fusion.

A Nova is a transient astronomical event that causes the sudden appearance of a bright, apparently "new" star (hence the name "Nova", which is a Latin word means "new") that slowly fades over weeks or months. Classical nova eruptions are the most common type. They are likely created in a close binary star system. Classical novae are the result of a hydrogen, thermonuclear runaway on top of an accreting white dwarf, in a close binary system (cataclysmic variable). Classical nova explosion are the 3rd most violent explosions than can occur in a galaxy.

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The x-component of the total momentum of the system at time t can be expressed as [tex]m_{1} v_{1} (t)+ m_{2} v_{2} (t)[/tex] in terms of m1 , m2 , v1(t) , and v2(t) .

The momentum of the body is represented as the product of its mass and velocity;

p= m×v

Where, m is the mass of a particle and v is its velocity

The momentum of the whole system is the vector sum of individual momentum of all the particles, which can be represented as

[tex]p_{net}[/tex]=[tex]p_{1}[/tex] + [tex]p_{2}[/tex] + [tex]p_{3}[/tex] +...

The X-component of the momentum of the system is:

[tex]p_{net}[/tex] (x) = [tex]m_{1} v_{1}[/tex](t)+ [tex]m_{2} v_{2}[/tex](t)

Hence, the total momentum of the system of particles will be [tex]m_{1} v_{1} (t)+ m_{2} v_{2} (t)[/tex].

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(a) The total volume of the sample in the given water is [tex]$6.43 \times 10^{-4} \mathrm{~m}^3$[/tex]

(b) The density of the given sample is [tex]$\mathbf{2 , 7 7 7 . 6} \mathrm{kg} / \mathrm{m}^3$[/tex].

The given parameters;

weight of the object in air = 17.5 N

weight of the object in water = 11.2 N

The mass of the object is calculated as;

[tex]m=\frac{W}{g}=\frac{17.5}{9.8}=1.786 \mathrm{~kg}$$[/tex]

The upthrust on the object when immersed in water is calculated as follows;

[tex]$$\begin{aligned}& F_n=17.5 \mathrm{~N}-11.2 \mathrm{~N} \\& F_n=6.3 \mathrm{~N}\end{aligned}$$[/tex]

The volume of the object is calculated as follows;

[tex]$$\begin{aligned}& F_n=\rho V g \\& V=\frac{F_n}{\rho g} \\& V=\frac{6.3}{9.8 \times 1000} \\& V=6.43 \times 10^{-4} \mathrm{~m}^3\end{aligned}$$[/tex]

The  density of the sample is calculated as follows;

[tex]$$\begin{aligned}& \rho=\frac{\text { nass }}{\text { volume }} \\& \rho=\frac{1.786}{6.43 \times 10^{-4}} \\& \rho=2,777.6 \mathrm{~kg} / \mathrm{m}^3\end{aligned}$$[/tex]

Complete question: an ore sample weighs 17.50 N in air whan the sample is suspended by a light cord and totally immersed in water the tension in the cord is 11.20 N find the total volume and density of the sample?

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In drinking soda or water through a straw, we make use of atmospheric pressure; option C

Pressure is the force exerted per unit area on the surface of an object.

Mathematically;

The pressure due to gases is a result of the molecules of the gas colliding with one another and with the surface of their container.

The atmospheric pressure is the pressure due to the weight of molecules of gas above us.

When using a straw to drink water or soda, the sucking action results in a decrease in pressure, hence, the atmospheric pressure will force the liquid up the straw.

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The distance formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

We want to find the distance between (a,b) and (x,y).

The center of the habitat is missing in the question.

Assuming the center is (a,b) where a and b are real numbers, then we can use the distance formula to obtain:

d = √[(x - a)² + (y - b)²]

For instance if the center of your habitat us (2,-1), then

d = √[(x - 2)² + (y + 1)²]

Therefore, the equation of line with distance formula can be written as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

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The angle's rate of change when the bottom of the ladder is 6 ft from the wall is 0.37 rad/s.

Let at any moment of time the foot of the ladder is at distance "x" from the wall and if the length of the ladder is L = 10 ft.

so we have

x / L = cos θ

so we have

x = L cos θ

now differentiate the above equation with time

dx / dt = -L sinθ (dθ/dt)

so we have

dθ / dt = -v(s) / L sin θ

dθ / dt = - 1.5 / 10 sin θ

as we know that

cos θ = 0.9

cos θ = cos 57

θ = 57 degrees

dθ / dt = - 1.5 / 10 sin 57

dθ / dt = - 0.37 rad / s

Therefore, the angle's rate of change when the bottom of the ladder is 6 ft from the wall is 0.37 rad/s.

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Answer:

Wavelength = 1074 nm

Explanation:

Given:

T = 2700 K

b = 2.9·10⁻³ m·K - Wine's constant

___________

λm - ?

Wine Law:

λm =  b / T

λm =  2.9·10⁻³ / 2700 ≈ 1074·10⁻⁹ m     or  λm = 1074 nm

0.33 m/s is the minimum speed of the ball at the bottom of its swing (point b) in order for it to reach point a, which is 1.0 m above the bottom of the swing.

distance=1 m

v=?

time= 3 second

velocity =distance/time

velocity=1/3

velocity=0.33 m/s

When describing how quickly something moves or how much its location changes over time, the scalar variable speed can be utilized. It is frequently abbreviated to "s." By dividing the entire distance traveled by the period's duration, the average speed of an object is determined.

The unit of measurement for speed is time divided by distance. Although the unit of speed most frequently employed in daily life is the kilometer per hour (kph), the meter per second (m/s) is the SI unit of speed.

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The possible distance between Chadwick and Barkersville is 120 miles.

The Triangle Inequality Theorem states that the sum of any two lengths of triangle sides is larger than the length of the third side. Here, the length of one side is 70 miles and another side is 90 miles.

Let the third side be x. So, to find the third side, follow the below two steps:

Therefore, the sum of the two sides is 70 + 90 = 160 miles.

And the difference is 90-70=20 miles.

So the value of x should lie in the range 160>x>20.

Here, option 3 lies in this range. So, the answer is 120 miles.

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A diver bounces straight up from a diving board, avoiding the diving board on the way down, and falls feet first into a pool. She starts with a velocity of 5 m/s and her takeoff point is 1.3 m above the pool. The highest height she reaches is 1.25 m.

Given that, initial velocity of the diver is 5 m/s

Final velocity will be zero at the highest point

Acceleration due to gravity is taken as 10 m/s²

Using one of the equations of motion, v²- u² = 2as

where, v is the final velocity = 0

u is the initial velocity

a is the acceleration

s is the distance (here it is the height reached)

v²- u² = 2as

Making 's' as the subject, we have

s = v²- u²/ (2a)

s = 0 - (25)/(2*-10)

s = 1.25 m

Thus, the height height reached by her is 1.25 m.

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Light passes from a material with index of refraction 1.33 into one with index of refraction 1.20. compared to the incident ray, the light ray bend away from the normal.

Hence, the light ray bend away from the normal after the refraction.

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Answer:

200 meters

Explanation:

We are given that the speed is the object is 20 m/s and we are asked to solve for the distance it goes in 10 seconds.

To do this we will use rate X time = distance

The rate = speed = 20 m/s

The time = 10 s

(20 m/s)x(10s)= 200 meters

Upon unit analysis we can see that our answer is in meters, and distance is indeed in meters, helping us know our answer is correct.

The displacement that the wave travels is y = sin{5.23t - 2.42x + (π/2)}.

As we know that the wave equation is given as

y = A sin(ωt - kx + Φ₀)

now we have

A = 0.19 m

λ = 2.6 m

so we have to find k for the wave equation for displacement

k = 2π/λ

k = 2π / 2.6

k = 2.42 rpm

also we have the time as

T = 1.2 s

So, we have the ω as

ω = 2π / t = 2π / 1.2

ω = 5.23 rad/s

now we know that at t = 0 and x = 0 wave is at y = 0.19 m

so we have

Φ₀ = π / 2

Now the wave equation will be given as

y = sin{5.23t - 2.42x + (π/2)}

Therefore, the displacement that the wave travels is y = sin{5.23t - 2.42x + (π/2)}.

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A string is wound around a hollow, cylindrical drum with a mass of 2 kg. it is then threaded through a solid pulley with the same mass then angular acceleration will be  37.5 rad/[tex]s^2[/tex]

Angular acceleration = (30×0.4)/2×(0.4[tex])^2[/tex] =37.5 rad/[tex]s^2[/tex]

A torque that does not result in an angular acceleration is called static. Here are a few instances of static torque:

Static torque can be applied in a number of ways, like pushing a closed door while it is still in place and pedalling a bicycle at a constant speed when there is no acceleration.

As a racing vehicle accelerates off the line, the drive shaft must be accelerating the wheels in an angular direction since the vehicle is moving quickly along the track.

Torque about centre line of cylinder

=F×R

=(30×0.4)Nm

Angular acceleration = (30×0.4)/2×(0.4[tex])^2[/tex]

=37.5 rad/[tex]s^2[/tex]

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The wavelength of the light is 663nm.

What is double slit interference pattern?

The wave effectively separates into two new waves that each expand out from one of the slits as it travels through both openings. Then, there is interference between these two waves. The interference pattern is made up of alternate bright and dark lines; the bright lines are referred to as fringes. The wavelength in a double-slit experiment can be calculated using the following equation:

λ [tex]= yd / D[/tex]

where,

λ = wavelength of light source

D = distance between the screen and the slit

d = slit separation

Given,  

[tex]y = 0.550 mm, d = 2.05 mm, D = 1.70m[/tex]

Subsituting the values in equation:

λ [tex]= yd / D[/tex]

λ = [tex](0.550* 10^{-3} )(2.05* 10^{-3}) / 1.70[/tex]

λ [tex]= 663nm[/tex]

The wavelength of the light is 663nm.

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when there is friction, Fs=784 An object's kinetic friction coefficient with the surface it is sliding along is 0. 10. 8.0 kg make up the object's weight.

The static friction that prevents the box from moving on its own must be overcome with an adequate opposing force for the box to move. The force that opposes the relative displacement of surfaces once they are moving is known as kinetic friction, sometimes known as dynamic friction.

w = mg = (12 kg)(9.8 m/s²)

w = 117.6 N

The weight force is equal to 117.6 N, and since the normal force is equal to the weight force, we can say that the normal force is also equal to 117.6 N.

Now that we have the normal force, we can plug it into the formula for the force of kinetic friction:

fₖ = μₖ * n  

fₖ = (0.6) * (117.6)

fₖ = 70.56 N

The four basic types of friction are fluid friction, rolling friction, sliding friction, and static friction. Normal force and friction are exactly proportional to the surfaces in contact; they are independent of hardness of the touching surface.

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The change in linear momentum of the child plus disk system just before and just after the impact is 86.4 kgm/s.

The mass of the disk in the playground is 32 kg and its radius is 1.7 m.

The child of mass 24kg runs tangentially to the disk at a speed of 2.7m/s.

Now, the initially just before the impact, the initial linear momentum of the boy plus disk system is,

P = Mass of child x speed

P = 24 x 2.7

P =64.8 kgm/s

Now, when the child engages with the disk, then finally just after the impact the speed of the system of child plus disk will be,

P' = Mass of system x speed

P' = (24+32) x 2.7

P' = 151.2 kgm/s.

Now, the change in linear momentum is,

Change in momentum = P' - P

Change in momentum = 151.2 - 64.8

Change in momentum = 86.4 kgm/s.

So the change in momentum of the system is 86.4 kgm/s.

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Approximately 5,000 light-years separate the galactic center from the central bulge. The distance to the center of the disk, or halfway through it, is around 28,000 light-years, or our solar system.

The Sun and the things that circle it make up the solar system, which is gravitationally linked. The gravitational collapse of a massive interstellar molecular cloud gave it birth 4.6 billion years ago. The Sun is the system's primary mass, accounting for 99.86% of its total mass, with Jupiter making up the majority of the remaining mass. Mercury, Venus, Earth, and Mars are the four planets in the inner solar system, and they are all terrestrial planets with rocky and metallic cores. In comparison to the terrestrial planets, the four giant planets of the outer solar system are significantly bigger and more massive. The two biggest, Jupiter and Saturn, are gas giants made primarily of hydrogen and helium; the next two, Uranus and Neptune, are ice giants made primarily of combustible materials.

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Displacement is a verb that denotes movement or displacement of an object.The definition of displacement is the modification of an object's position.

         v = dx/dt.

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The position of an object moving in a straight line is given by x(t), where t is the time. Find the instantaneous velocity when t = t0.

What is velocity?
Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics which deals with the motion of bodies, velocity is a fundamental idea. A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a cohesive derived unit whose quantity is assessed in metres per second (m/s or m/s1) in the SI (metric system). In contrast to "5 metres per second east," which is a vector, "5 metres per second," for instance, is a scalar.

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The erosive power increases as the velocity increases of the stream.

Power is the rate of job completion or energy delivery in science and engineering. It is denoted by the symbol W/t, which is the product of the amount of labor (W) or energy (E) transported divided by the amount of time (t).

Any given amount of work can be finished fast with a high-powered motor or slowly with a low-powered motor. Units of power, which measure work (or energy) per unit of time, include joules per second (or watts), ergs per second, and foot-pounds per minute.

For picking up material as opposed to carrying it in suspension, more velocity is required. The rate of erosion and velocity both rise during the peak discharge. Deposition and transportation are barely separated. It follows that merely a slight drop in velocity causes sedimentation.

Therefore, the erosive power decreases as the velocity increases of the stream.

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The erosive power of a stream as velocity increases because no force of interaction between positive and neutral object.

Coulomb's law states that the electric force is directly proportional to the product of the charged objects.

The electric force is also inversely proportional to the square of the distance between the charges and is denoted below:

F= kq1q2/ r² (Newton)

where,

F=electric force

k=Coulomb constant

q1, q2=charges

r=distance of separation

So, here we know that when two objects are charged and placed at some distance "d" apart then the two objects will either attract or repel each other.

If the charges are of similar type then the two objects will repel while if the charges are of opposite nature then two objects will attract each other.

So here when a charge object is near the neutral then there is NO force between two objects.

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The distance of inside from the center of the sphere is R/2 and distance of outside from the center of the sphere is  √2 R when the gravitational acceleration is R/2.

What is gravitational acceleration?

Gravitational acceleration within a vacuum is the acceleration of an object within the vacuum which is used to indicate the intensity of the gravitational field.

Inside the sphere with gravitational acceleration,

ag = GrMe / R^3

R / 2 = r

Outside the sphere,

ag / 2 = GMe / r^2

r = √2 R.

Therefore, the distance of inside from the center of the sphere is R/2 and distance of outside from the center of the sphere is  √2 R when the gravitational acceleration is R/2.

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when an object is placed in a fluid and then released ,The object will float if the density of object ( Pobject )is less than the density of fluid ( Pfluid ) .Pobject < Pfluid -> object will float .

The object will sink if density of object ( Pobject ) is more than the density of fluid ( Pfluid ) .Pobject > Peluid - object will sink

Here , the object is floating on the surface of liquid of first container . So , the density of object is less than the density of liquid .

object < Pliquid 1

Now , the object is removed and placed in second container with Liquid 2 having density greater . Puquid 1 < Pliquida

so ,Pobject < Pliquids < Pliquidz

In this case , object well float also , but its depth will be less than it was in thefirst container,( Liquid 2 is denser).

Here , in this case, we will observe :The object will float submerged less deeply than in the first containers.

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After collision, " 4.58m/s" would be the speed of the 2nd ball.

According to the question,

Before collision,

Speed of 1st ball = 5.00 m/s

After collision,

Speed of 1st ball = 4.35 m/s

By using the energy conservation, we get

Ef = 1/2mv₁² + 1/2mv₂²

⇒  1/2mv² = 1/2mv₁²V + 1/2mv₂²

⇒  v² =  v₁²  + v₂²

    v² =  √(v₂² - v₁²)

By substituting the values, we get

⇒ v² = √(5²-2²)

= 4.58 m/s

Between two surfaces that are sliding or attempting to slide over one another, there is a force called friction.

In physics, collision, often known as impact, is the sudden, powerful coming.

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When the ball reaches maximum height it will have zero kinetic energy. When the ball begins to fall its kinetic energy again starts to increase. So it will have maximum kinetic energy at t= 5s.

Kinetic energy (KE) can be described as the energy possessed by a moving object because of its motion. Work done must be equal to change the kinetic energy. The kinetic energy of the object is represented as K.E = ½ mv²  where ‘m’ is the mass and ‘v’ is the velocity.

Potential Energy (P.E) can be defined as the energy that is stored by an object due to its position and is equal to P.E = m×g×h where ‘m’ is the mass, ‘h’ is the height and g is the acceleration due to gravity.

The kinetic energy of the baseball is maximum at time t=0. When the baseball reaches maximum height its kinetic energy is equal to zero. When the ball starts to fall its kinetic energy again starts to increase. So it has maximum kinetic energy at t= 5s.

The complete question is : A baseball is thrown directly upward at time t= 0 and is caught again at time t=5s. Assume that air resistance is so small that it can be ignored and that the zero point of gravitational potential energy is located at the position at which the ball leaves the thrower's hand.

Sketch a graph of the kinetic energy of the baseball.

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The device that determines a cable break or short exists is Time domain reflectometer.

What is a Time domain reflectometer?

The location of defects in transmission lines and coaxial cables can be found using a Time Domain Reflectometer (TDR). The TDR scans the transmission line with a low-voltage pulsed signal to look for any impedance-related reflections. No reflections will occur if there is no impedance mismatch over the entire length of the line, but if the transmission line is interrupted at a specific location, portion of the pulsed signal will be reflected back to the TDR. The TDR can pinpoint the precise position of a problem and determine its type, such as an open circuit, short circuit, or impedance mismatch, by monitoring the timing and propagation velocity of the received pulse.

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When space heating equipment uses electric resistance heating elements, the protection for the resistance elements shall not exceed 60 Amperes.
Understanding Heating Element
Heating element Is a device that is used as a source of heat, which is obtained by converting electrical energy into heat, also called "electric heating elements".
Electric heating elements are widely used in everyday life, both in households, or in industrial equipment and machines.
The shape and type also vary according to function, place of installation and type of media to be heated.

The basic shape of the electric heating element
The heat generated by this electric heating element comes from a wire or electrical resistance tape.
This wire or ribbon is generally made of nickel (NiCr) which is wound into a coil.
This nickel coil winding is the most basic type of electric heating element.
Advanced form Electric heating element
There are 2 types of advanced forms of electric heating elements, namely:
1. The first type is a heating element made of nickel coils covered with a sheath only with an electrical insulating material that is resistant to high temperatures and has good heat transfer properties.
These materials can be ceramic, alumina, teflon, silica, glass and others.
2. The second type is the coil or nik coil
Lin which after being given a sleeve or coated by an electrical insulating material is then covered again by a sleeve (sheath) made of metal.
In this second type, it is the outermost heater wrap that is in direct contact with the heated media.

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