if a ball is given a push so that it has an initial velocity of 4 m/s down a certain inclined plane, then the distance it has rolled after t seconds is given by the following equation.

Craig is trying to push a heavy crate up a wooden ramp, but the crate won't budge Up the ramp.

Frictional force refers to the pressure generated via two surfaces that touch and slide toward every other. a few factors affect the frictional pressure: those forces are specifically stricken by the surface texture and the amount of pressure impelling them together.

Friction can gradually things down and prevent desk-bound matters from shifting. In a frictionless global, extra gadgets would be sliding about, clothes and footwear might be difficult to keep on and it might be very difficult for human beings or vehicles to get shifting or change direction.

using lubricants such as oil or grease can reduce the friction between the surfaces. by using polishing the floor, sprucing makes the floor easy and friction may be decreased.

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A 2300-kg car slows down at a rate of 3. 0 m/s2 when approaching a stop sign. The magnitude of the net force causing it to slow down will be 6900 N

given

mass = 2300 kg

acceleration = 3 [tex]m/s^{2}[/tex]

force = mass * acceleration

         = 2300 * 3 = 6900 N

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The new diameter must be 1.414 mm in order to double the length of the wire without changing how far the wire stretches. This is because the diameter of the new wire must be proportional to the square root of the length of the new wire.

What is the diameter?

The diameter of a circle is the distance along which the circumference begins at one end and ends at the other. Its length is twice that of the circle's radius. In those other words, the line that divides a circle in to the two equal parts and runs through its centre is the diameter of the circle. In this article, let's learn more about the definition and characteristics of diameter. Any straight segment that traverses a circle's centre and has its endpoints on its circumference is said to have a diameter of that circle. The diameter also is referred to as the circle's longest chord.

Hence, the diameter is 1.414 mm.
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Units that can be used to describe vector quantities are :

For velocity B.) Miles per hour

For displacement C.) Meters

The physical quantities for which magnitude and direction are defined are known as vector quantities. Some examples are displacement, force, torque, momentum, acceleration and velocity.

Meter is the only basic SI unit that is a vector and others are scalars. Derived quantities can be vector or scalar, but vector quantity must have meters in its definition and unit. Although speed is a scalar quantity but velocity is a vector quantity that specifies both a direction and magnitude.

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Sodium Hydroxide and water combination of should be used to built devices.

Sodium hydroxide (NaOH), often known as caustic soda or lye, is a caustic white crystalline solid made up of the sodium cation (Na+) and the anion of hydrogen peroxide (OH). It rapidly takes in moisture and eventually disintegrates. The most used industrial alkali is sodium hydroxide, which is frequently used in oven and drain cleaners. The tissue of both plants and animals is severely corroded by it. When dissolved in water, it produces alkaline solutions that balance acids in a variety of industrial processes.

Sulfuric and organic acids are eliminated during the refinement of petroleum. It reacts with natural fats or oils, such tallow or vegetable oil, in the process of creating soap to form sodium fatty acid salt (soap) and glycerin (or glycerol); this saponification reaction is the fundamental step in the production of all soaps.

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The velocity of the elevator would be v₂ = 2.568 m/s

Given that,

mass of Corey = 95 Kg

reading of sale for first 3 s when elevator start to move = 890 N

scale reading for the next 3.0 s = 930 N

Gravitational force acting =  F = m g

 F = 95 x 9.8

 F = 931 N

using Newton's second law, due to movement of elevator

  F. = m a

W - N = m a₁

930- 890 = 95 x a₁

  a₁ = 0.421 m/s²

Now,

velocity calculation

v₁ = a₁t

v₁ = 0.421 x 3 = 1.263 m/s

For second case

931 - 930 = 95 x a₂

a₂ = 0.011 m/s²

now, velocity after 4 s

v₂ = v₁ + a₂ t

v₂ = 2.557+ 0.011 x (4 - 3)

Because velocity after 3 seconds is calculated we need to calculate velocity after 4 s from beginning.

v₂ = 2.557 + 0.011

v₂ = 2.568 m/s

velocity of the elevator is equal to v₂ =2.568 m/s

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An object accelerates to a velocity of 230 m/s over a time of 2. 5 s. The acceleration it experienced was 42 m/s2. Its initial velocity will be 125 m/s  

final velocity = 230 m/s

time = 2.5 second

acceleration = 42 [tex]m/s^{2}[/tex]

initial velocity = ?

acceleration = final velocity - initial velocity / time

42 = (230 - u) / 2.5

u = 125 m/s

Its initial velocity will be 125 m/s

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The lens' focal length is 1.5 cm, and its focal length is equal to half its radius of curvature, as shown by the formula f=R2 f = R 2, where f seems to be the focal length as well as R is indeed the radius of curvature.

When a lens is focussed at infinity, the focal length of the lens is discovered. We can determine the angle of view, or the amount of the scene will be caught, and the magnification, or how big the individual elements will be, by measuring the focal length of the lens. A narrower field of view and a higher magnification result from a longer focal length.

As wavelength and refractive index are inversely connected, the focal length of a lens varies inversely with each of them. The focal length of a lens varies directly with wavelength of light employed. The main reason chromatic aberration occurs is due to this. No relationship exists between the focal length and the frequency of a light.

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To learn about the parallax and solar system.

What is parallax?

An object's apparent displacement or apparent direction difference when viewed from two separate positions that are not in a straight line with the object Specifically: the angle between the directions of two celestial bodies as seen from two locations on the earth's orbit.

What is solar system?

The solar system includes the Sun and all the celestial bodies that revolve around it. The solar system is made up of many different objects, such as planets, comets, asteroids, and meteors.

Distance between the Earth and the Sun. Explanation: The Earth-Sun distance is the baseline measurement that we need to be aware of in order to estimate parallax.

Therefore, the Earth-Sun distance is the baseline measurement that we need to be aware of in order to estimate parallax.

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Answer:

The ball's vertical displacement 0.64 m

Explanation:

Given:

V₀ = 46.0 m

D = 16.7 m

g = 9.8 m/s²

____________

ΔH - ?

Time:

t = D / V₀ = 16.7 / 46.0  ≈ 0.36 s

Vertical displacement:

ΔH = g·t² / 2

ΔH = 9.8·0.36² / 2 ≈ 0.64 m  

The moment of inertia of large ring is 2MR².

What is inertia?

Inertia is the propensity of a body to resist any alteration to its state of regular motion or of rest.

Given that,

Mass of ring = M

Radius of ring = R

Therefore, moment of inertia of ring = MR²

as we need to calculate the moment of inertia of large ring

Therefore, we need to use the formula of moment of inertia

I = I + MR²

Where I = moment of inertia at centre of mass

As we said,

Mass of ring = M

Radius of ring = R

By puting the value of above into the formula, we get

I = MR² + MR²

I = 2MR²

Therefore, The moment of inertia of large ring is 2MR².

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The moment of inertia of large ring is 2MR².

What is inertia?

Inertia is the propensity of a body to resist any alteration to its state of regular motion or of rest.

Given that,

Mass of ring = M

Radius of ring = R

Therefore, moment of inertia of ring = MR²

as we need to calculate the moment of inertia of large ring

Therefore, we need to use the formula of moment of inertia

I = I + MR²

Where I = moment of inertia at centre of mass

As we said,

Mass of ring = M

Radius of ring = R

By puting the value of above into the formula, we get

I = MR² + MR²

I = 2MR²

Therefore, The moment of inertia of large ring is 2MR².

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The principles of angular motion's equations of motion are relevant to this query.  

a) An angular acceleration of "80 rad/s2" will occur.

b) During the procedure, it completes "1.02 revolutions."

Acceleration is the effect of a changing velocity. We refer to an object as speeding angularly if it is spinning and its speed is changing

To determine the angular acceleration, we shall utilize the first equation of motion for angular motion:

where,

= angle-moving speed =?

= 32 rad/s for the final angular speed

= 0 rad/s for the initial angular speed

t = time spent = 0.4 s

Therefore,

b)To determine the number of rotations, we will now utilize the second equation of motion for the angular motion:

where,

Angle displacement equals:?

Therefore,

Following are the numbers for the number of revolutions (N):

1.02 rotations per N

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kinetic friction between tires and dry pavement is 0.80 then u = 16.26 m/s is the shortest distance in which you can stop an automobile by locking the brakes when traveling at 28.7 m/s.

μk = 0.80, intial speed u=28.7.m/s final velocity   v=0

by applying newton's law to the body

-μk mg = ma

a = -μk g = - 7.84 m/s^2

from v^2 - u^2 = 2as

s = v^2 - u^2 /2a = 54 m

2).μk = 0.25 , s = 54 m ,v=0 , intial speed u =?

a = -μk g = -2.45 m/s^2

v^2 - u^2 = 2as

u^2 = 2*2.45 *54

we get   u = 16.26 m/s

In most cases, kinetic friction is less intense than the amount of force required to overcome static friction. When an object is already moving, kinetic friction occurs. A force must be applied to an object that precisely balances the force from kinetic friction in order to maintain that object's motion at a constant speed.

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A given convex lens has a focal length that varies slightly with the wavelength of the light passing through it. when the a lens is used as the objective of a telescope, this results in chromatic aberration.

Chromatic aberration is a phenomenon in which light rays passing through a focus of lens at different points, depending on their wavelength. It is a failure of a lens to focus all colors to the same point. It is also called chromatic distortion and spherochromatism. The focal length of the lens varies directly with the wavelength of the light so focal length increases with wavelength but decreases with refractive index as wavelength is inversely related to it. This is the principal cause of chromatic aberration phenomena.

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Answer:

Below

Explanation:

          Frictional force = Fn * coeff  =   50 kg * 9.81 * .15 = 73.57

 then F = ma  

       73.57 = 50 * a    shows a = 1.5 m/s^2   ( de-celeration magnitude)

Answer: Force = 870 N  

Explanation:

acceleration = a = (final velocity - initial velocity) / time elapsed

a = (0-30)/.005 = -6000 m/s2 (negative sign means the ball is slowing down)

Force = F = mass x acceleration = ma

F = (0.145 kg)(6000 m/s2) = 870 N away from the player throwing the ball

The magnitude of the force on the player catching the ball is equal, 870N.  The mitt acts on the ball with an equal and opposite force (Newton's 3rd Law of Motion)

0.09 Nm is net torque about the axle

F=9 N

r=10 cm= 0.01 m

Torque= rF

Torque=9×0.01

Torque=0.09 Nm

In physics, torque, which is also known as the moment of a force, is the propensity of a force to rotate the body to which it is applied. According to the rotational axis, the torque is determined by multiplying the force component's magnitude in the plane perpendicular to the axis by the shortest distance between the axis and the force component's direction. The force vector may always be located in a plane parallel to the axis, regardless of its orientation in space. In SI units, torque is expressed in newton meters.

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These are the condition of the refrigerant at the following points of the refrigeration cycle:

A vapor compression refrigeration system is a system consisting of circulating refrigerant through stages of a closed system to create a cold environment that's conducive to preserving and storing products.

There are several parts in a refrigeration system that can change the condition of refrigerant during certain points of the cycle.

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The acceleration of the crate is 1.83 m/s² and the upward force is 40 N.

We need to know about force to solve this problem. According to second Newton's Law, the force applied to an object will be proportional to mass and acceleration. Hence, it can be written as

F = m . a

where F is force, m is mass and a is acceleration

From the question above, we know that

Fy = 40 N

F = 100 N

m = 50 kg

Find the horizontal force

F² = Fy² + Fx²

100² = 40² + Fx²

Fx² = 100² - 40²

Fx² = 8400

Fx = 91.65 N

Find the acceleration of the crate

Fx = m . a

91.65 = 50 . a

a = 1.83 m/s²

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Given,

Capacitance of capacitor = 15.0 mf

Voltage = 150.0-V

Inductance = 0.280 m H

What is oscillation?

The act of any variable or measure fluctuating repeatedly about its equilibrium position in time is known as oscillation. A periodic change in a substance's value between two values or around its central value is another way to define oscillation.

(a) In the circuit, the oscillation of frequency is,

f = 1/2[tex]\pi[/tex] sqrt 1/ 0.280×10⁻3×20×10⁻6

f = 2126.9 Hz

(b) U = 1/2 CV²

    U = 1/2(20×10⁻6)(150)²

    U = 0.225J

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a) The oscillation frequency of the circuit is 2126.9 Hz.

b)The energy stored in the capacitor at time t is 0.225J.

What is oscillation?

The act of any variable or measure fluctuating repeatedly about its equilibrium position in time is known as oscillation. A periodic change in a substance's value between two values or around its central value is another way to define oscillation.

Given,

Capacitance of capacitor = 15.0 mf

Voltage = 150.0-V

Inductance = 0.280 m H

(a) In the circuit, the oscillation of frequency is,

f = 1/2 sqrt 1/ 0.280×10⁻3×20×10⁻6

f = 2126.9 Hz

(b) U = 1/2 CV²

   U = 1/2(20×10⁻6)(150)²

   U = 0.225J

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Ball B will experience greater buoyant force than ball A

The upward buoyant force that is exerted on a body immersed in a fluid, whether partially or fully submerged, is equal to

According to Archimedes principal , the buoyant force experienced by a body immersed in a fluid will be equal to the weight of the fluid that the body displaces .

The more dense is the body , the more fluid will get displaced .

correct option will be

ball B will experience greater buoyant force

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0.2 is the value of coefficient of friction (k)

F=kN

F=horizontal force

n=Normal Force

k=coefficient of friction

k=F/N

k=200/1000

k=0.2

The ratio of the normal force pushing two surfaces together to the frictional force preventing motion between them is known as the friction coefficient. Usually, the Greek letter mu is used to indicate it .N is the normal force, and F is the frictional force, hence F = N/N.

Due to the fact that both F and N are measured in units of force, the coefficient of friction has no dimensions (such as newtons or pounds). The coefficient of friction can have a variety of values for both static and dynamic friction. Static friction occurs when an object encounters friction that resists any applied force, keeping the object at rest until the static frictional force is released. In kinetic friction, the frictional force resists the motion of the object.

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F(min) = μsg(m1+m2) the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box.

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The type of synthetic material that mayonnaise can be is emulsion and the egg yolk acts as a stabilizer.

We know that there is a difference true and false solutions. A true solution is one in which we do not have the particles of the solute still visible in the solution after it has dissolved. However, in a false solution, the particles of the solute would still remain largely visible.

Now there are various kinds of false solutions and one of them is an emulsion. When we talk about an emulsion, we are talking about a situation where a liquid has been dispersed in a liquid.

In many cases, there is the need for a stabilizer which prevents the emulsion from separating into layers. In the absence of the stabilizer we would notice that the oil and vinegar will eventually separate into an oil layer and a vinegar layer.

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The buoyant force on the hippo is 14,300 N

The density of the hippo = 1030 kg/m³

The mass of the hippo = 1500 kg

The buoyant force on the submerged hippo can be found using the formula

                        F = ρ V g

where F is the buoyant force

           ρ is the density of the water

           V is the volume

           g is the acceleration due to gravity

The volume dispersed can be found by

                  V = m / ρ

                     = 1500 / 1030

                     = 1.456

Now, let us substitute the known values in the above equation, we get

              F = 1000 x 1.456 x 9.8

                 = 14,268.8 N

                 ≈ 14,300 N

Therefore, the buoyant force is 14,300 N

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The positive velocity at 0.0 s on the graph is equal to the mass moving upward and at the origin in 0.0 s.

Velocity is a vector quantity that has both magnitude and direction. Velocity ​​can be positive and negative. Velocity is positive if the direction of motion is up and negative if the direction of motion is down.

On a speed-time graph, a horizontal (flat) line indicates that the object is moving at a constant speed. The diagonal straight line shows the speed of the object changes.

This question is an of choice

The mass moves down and at the origin at 0.0 s.

The mass moves up and at the origin at 0.0 s.

The mass moves upward but not at the origin in 0.0 s.

The mass moves down but not at the origin in 0.0 s.

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Answer: 472.556m⋅s−1

Explanation: λ=7.83cm=7.83⋅(1cm)=7.83⋅(1cm×0.01m1cm)=0.0783m

If an object is moving in such a way that the force of gravity is increasing its kinetic energy, you can conclude that the object is accelerating.

Fg = m g

KE = 1 / 2 m v²

Fg = Force of gravity

m = Mass

g = Acceleration due to gravity

KE = Kinetic energy

v = Velocity

Since mass cannot change and will remain constant,

KE ∝ v

As KE increases v increases meaning that there is change in velocity with respect to time.

a = dv / dt

a = Acceleration

dv = Change in velocity

dt = Change in time

Acceleration is the rate of change of velocity with respect to time. If velocity change there will be either acceleration or deceleration based of how the velocity changes.

Therefore, if an object is moving in such a way that the force of gravity is increasing its kinetic energy, you can conclude that the object is accelerating.

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(a) Temperature in state 2 = 26.153°C

    Temperature in state 3 = 19.9°C

(b) Net work done = 0. 143 K J

The ideal gas law, also called the general gas equation, is the equation of state for a virtual ideal gas. But it has some limitations, but is a good approximation of the behavior of many gases under many conditions.

V = 1 m³

P₁ = 100 KPa

T₁ = 20°C

For process 1-2:

P₂ = 500 kPa

PVˣ = constant (X = 1.2)

For process 2-3:

P₃ = 100 kPa

To determine temperature in state 2:

T₂/T₁ = P₂/P₁

T₂ =  P₂/P₁ × T₁

T₂ = 20(500/100)

T₂ = 26.153°C

Since process 1-2 is poly-tropic system

Work done W₁₋₂ = (P₁V₁ - P₂V₂)/X - 1

= (mRT₁ - mRT₂)/(X - 1)

= mR(T₁ - T₂)/(1.2 - 1)

= mR (20 - 26.153)/(0.2)

To determine temperature in state 3:

T₃/T₂ = [tex](\frac{P_{3} }{P_{2} } )^{\frac{X-1}{X} }[/tex]

Now, substitute the values:

T₃ = 19.9°C

Work done W₂₋₃ = (P₂V₂ - P₃V₃)/X - 1

= (mRT₂ - mRT₃)/(X - 1)

= mR(T₂ - T₃)/(1.2 - 1)

= mR(26.153 - 19.9)/(0.2)

Net work done (Wₙ) = W₁₋₂ + W₂₋₃

mR (20 - 26.153)/(0.2) + mR(26.153 - 19.9)/(0.2)

Wₙ = 0. 143 K J

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The third one maybe??

If not then my bad