What is the coefficient of static friction if it takes 44 N of force to move a box that weighs 86 N?​

A stone is dropped from rest at an initial height h above the surface of the earth. Show that the speed with which it strikes the ground is v= 2gh.

Let x(t) be the position of the stone above the ground.

The differential equation x'= - g relates the position of the stone to the acceleration due to gravity.

A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable)

dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable

For example, dy/dx = 5x

A differential equation contains derivatives which are either partial derivatives or ordinary derivatives. The derivative represents a rate of change, and the differential equation describes a relationship between the quantity that is continuously varying with respect to the change in another quantity. There are a lot of differential equations formulas to find the solution of the derivatives.

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Since the velocity at the highest location is 0, we are searching for the beginning velocity. The kangaroo will thus be moving vertically at a speed of 7 m/s when it leaves the ground.

The formula v = may be used to determine a kangaroo's vertical speed as it takes off from the ground (2gh). where h is the height of the kangaroo's leap, g is the acceleration caused by gravity (9.8 m/s2), and v is the vertical speed (2.5 m). After entering the numbers, we obtain the following: v = (49) = 7 m/s (2 * 9.8 * 2.5)

Therefore, the kangaroo's vertical speed when it lifts off the ground is 7 metres per second.

The equation t = (2h/g), where t is the duration in the air and h is the height the kangaroo is jumping from, may be used to determine how long it has been in the air (2.5 m). The values are entered, and the result is: t = ((2 * 2.5 / 9.8)) = (0.51) = 0.71 s.

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The amount of energy required to compress spring A and spring B would be the same.

Energy is the capacity to do work. It is the ability to cause change and is found in many forms, including chemical, electrical, mechanical, nuclear, radiant, and thermal energy. It is often referred to as the "lifeblood" of our modern society, as it is necessary for everything from powering homes and businesses, to providing energy for transportation and communication.

This is because the springs are identical and the amount of compression (d) is the same. The masses of the objects don't affect the energy required to compress the springs since the objects are lying on a frictionless surface and will not resist the springs being compressed.

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The reason bulb A is brighter than bulbs B and C is because it has a higher voltage and a lower resistance than either of them.

Lower resistance is the measure of how easily an electrical current can flow through an object or circuit. It refers to how much opposition a material presents to the flow of an electric current. The lower the resistance of a material, the easier it is for an electric current to flow through it, and the higher its conductivity.

This is because the circuit containing bulb A has the least overall resistance, meaning more current is able to flow through it and it is able to operate at a higher voltage. This means that the current is able to provide more energy to the bulb, causing it to be brighter than bulbs B and C.

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The electric field strength from the origin is  1.95 x 10¹² q ( N/C ).

The electric field of a charged particle is the region of space where the influence of electric force is felt.

Mathematically, the formula for electric field strength is given as;

E = kq / r²

where;

The electric field strength from the origin is calculated as follows;

E = ( 9 x 10⁹ x q ) / ( 0.068 m )²

E = 1.95 x 10¹² q ( N/C )

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The machine does 3000 J of work.

This is 80% of the energy that was put into the machine.

3000 J = 0.80 x (Input energy)

Divide both sides of the equation by 0.80 .

Input energy = 3000 J / 0.8

Input energy = 3750 J

True. Skills, which include balance and reaction time, are the talents or abilities that allow one to perform task.

Skills are the ability to perform a task due to training and experience.

The term skill is used to describe specific action or level of performance of an individual.

There are three types of skills and they include;

Functional skills are abilities or talents that are inherited at birth and developed through experience and learning

Thus, we can conclude that Skills, which include balance and reaction time, are the talents or abilities that allow one to perform task.

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The density of the spheres is 1.004 gm/cm³.

The maximum velocity attained by an object as it falls through a fluid is known as terminal velocity.

It occurs when the sum of the drag and buoyancy forces acting on the object equals the downward force of gravity. Because the object's net force is zero, it has no acceleration.

The  terminal speed = 2.34 cm/s.

The viscosity of water =  1.00 × 10⁻³ CGS unit.

Terminal velocity: v =  (2/9)(σ − ρ)gr²/η.

σ = 9vη/{2gr²} + ρ

= (9 × 2.34 × 1.00 × 10⁻³)/(2×980×(0.105/2)²) + 1

= 1.004 gm/cm³

Hence, The density of the spheres is 1.004 gm/cm³.

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When the same force was supplied to the loaded and unloaded cars, the loaded car accelerated less, which was visible since the laden car arrived at the track's finish more slowly. and after a little while, she started moving less swiftly.  so Option B  and option Dare correct

The rate at which an object's velocity with respect to time changes is referred to as the mechanics of acceleration. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it.According to Newton's Second Law, an object's acceleration is determined by a combination of two factors: its mass, which depends on the materials it is made of, and the net balance of all external forces acting on it. The magnitude of an object's acceleration is inversely proportional to the mass of the object.

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The work done by gravity on the sliding crate is 176.6 J.

The work done by gravity on the sliding crate is calculated by applying the following formula.

W = Fd cosθ

W = mg x d cosθ

where;

W = ( 14 kg x 9.8 m/s² ) x ( 1.61 m ) x cos ( 36.9 )

W = 176.6 J

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The volume of the Erlenmeyer flask when filled with water is 249 cm^3.

Volume is a measure of the amount of three-dimensional space an object occupies. It is measured in cubic units, such as cubic centimeters (cm3) or cubic meters (m3). Volume is an important concept in many areas of science, including physics, chemistry and geology. It can also be used to describe the capacity of a container, such as a bottle, or the amount of liquid it can hold. Knowing the volume of a substance or object is important in many everyday situations, from measuring food portions to calculating the amount of paint needed to cover a wall.

This is calculated by subtracting the weight of the empty flask (246.3 g) from the weight of the flask filled with water (495.0 g) and then dividing by the density of water (1.00 g/cm^3).

When filled with chloroform, the flask and its contents weigh 581.1 g. To calculate this, we multiply the density of chloroform (1.48 g/cm^3) by the volume of the flask (249 cm^3), which gives us 371.52 g. We then add the weight of the flask (246.3 g) to the weight of the chloroform (371.52 g), which gives us a total of 617.82 g. The weight of the flask when filled with chloroform is 581.1 g.

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The speed of the car will remains the same but the direction will be changed, if the force applied by the wall is 20 N for 0.2 s.

Mass of the toy car, m = 2 kg

Initial velocity of the car, v₁ = 1 m/s

The force applied by the car, F = 20 N

Duration of the applied force, Δt = 0.2 s

So the impulse applied by the wall, = F×Δt = 20 × 0.2 = 4 N-s

We know, impulse =  change in momentum

Let the final velocity of the car is v, then

4 = m₁v₁ - m₁v₂

4 = 2 × 1 - 2 × v₂

4 = 2 - 2v₂

v₂ = (4-2)/-2 = -1 m/s

So v₂ = -1 m/s

A negative sign indicates that the direction of the car will be opposite to the initial velocity.

Hence the correct option is C.

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The final momentum of the t-shirt can be evaluated by multiplying the mass of the t-shirt (from part a) by its final velocity (from part b). Final momentum = (1.0 kg) x (20.0 m/s) = 20 kg m/s.

Final momentum is the momentum of an object after it has been acted upon by an external force. It is calculated by taking the initial momentum of an object and adding or subtracting the force of the external force to determine the final momentum. The final momentum is equal to the initial momentum plus the change in momentum caused by the external force. Final momentum can be calculated using the equation pfinal = pinitial + FΔt, where pfinal is the final momentum, pinitial is the initial momentum, F is the force of the external force, and Δt is the change in time caused by the force.

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The final current will be 32.7 A and Yes, the fuse will melt if the microwave and the coffeemaker are both on at the same time.

How to determine current and whether or not a fuse has melted?

To determine the current, we can use Ohm's Law, which states that current (I) is equal to power (P) divided by voltage (V).

I = P/V

The total power of the three appliances is 1800 W + 1000 W + 800 W = 3600 W.

Therefore, the current is:

I = 3600 W / 110 V = 32.7 A

The fuse is rated at 20 A, so it will melt if the current exceeds 20 A. Since the current is 32.7 A, the fuse will melt if the microwave and the coffeemaker are both on at the same time.

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Formula for acceleration:

[tex]a=\dfrac{Vf-Vi}{t}[/tex]

acceleration(measured in m/s^2) = Final velocity(measured in m/s) - Initial velocity(measured in m/s) / time(measured in seconds)

__________________________________________________________

Given:

[tex]Vi=40m/s[/tex]

[tex]Vf=12m/s[/tex]

[tex]t=30s[/tex]

[tex]a=?[/tex]

__________________________________________________________

Finding acceleration:

[tex]a=\dfrac{Vf-Vi}{t}[/tex]

[tex]a=\dfrac{12-40}{30}[/tex]

__________________________________________________________

Answer:

[tex]\fbox{a = -0.93 m/s squared}[/tex]

4.33×103 N/C, 35.0∘ below the positive x-axis if qa=+2.50 nC, qb=−8.00 nC, and qc=+1.50 nC are the charges on all the three vertexes of an equilateral Triangle.

As we know the electric field at a point due to a charged particle is E = F/q where f is the force and q is the charge. If the orientation of charges is the same as shown in the image attached then

E = KQq/[tex]r^{2}[/tex]q  where k = 8.99 × 10 9 N ⋅ m 2 /C 2.

where Q is charged  particle and q is another charge so

E = 8.99 × 10 9*2.50*8.00 /3/4r*2.5

which results in

4.33*10^3 N/C

that is the net electric field at the center of the Triangle with charges on all the vertexes.

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It might be limited to Region I exclusively. The electric field caused by the charge +2C is directed away from the charge, but the one caused by the charge -4C is directed towards it.

When put in an electromagnetic field, the physical feature of matter known as electric charge causes that matter to experience a force. A positive or negative electric charge can exist. Like charges repel one another, whereas unlike charges attract one another. A neutral object is one that does not have any net charge. Charge, also known as electric charge, electrical charge, or electrostatic charge, and denoted by the symbol q, is a property of matter that reflects the amount to which it contains more or less electrons than protons.

Here,

It may only be available in Region I. The electric field caused by charge +2C is directed away from the charge, but the one caused by charge -4C is directed towards it.

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The option that will be true regarding the relative values of the partial pressures of the gases remaining in the vessel after some of the gas mixture has effused is;

A) Pressure He < Pressure Ne < Pressure Ar

Pressure is defined as the force applied perpendicular to an object's surface per unit area across which that force is dispersed. Gauge pressure is the pressure in relation to the surrounding atmosphere. Pressure is expressed using a variety of units. Pressure is the force acting on a unit area of a surface. It works perpendicular to the surface under pressure. Pressure = force multiplied by the area on which it operates. Pressure is defined as the amount of force exerted perpendicular to an object's surface per unit area, and the symbol for it is p. (or P). The pascal is the SI unit of pressure (Pa).

Here,

The option that will be true in terms of the relative partial pressures of the gases remaining in the vessel after some of the gas mixture has been effused is;

A) Pressure He < Pressure Ne < Pressure Ar

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The white residue on aquariums could be mineral , such as hard water stains, and it formed as a result of the hard substance remaining after water evaporation. It is from the water, and to remove it, a white vinegar and water mixture should be used.

Its significance includes that an aquarium can be a place for people to learn about aquatic animals, for the conservation of some animals, for entertainment, and also for use in research proposals, etc.

Hence, the white residue on aquariums could be mineral , such as hard water stains, and it formed as a result of the hard substance remaining after water evaporation. It is from the water, and to remove it, a white vinegar and water mixture should be used.

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The magnitude and direction of the ball's total displacement is 119.6 cm and 29.8⁰ respectively.

The magnitude of the ball's total displacement is calculated by applying the following formula.

The sum of the horizontal displacement is calculated as follows;

∑X = 83 cm x cos (90)    +    57 cm  x  cos (159)  +  67 cm x cos (221)

∑X = -103.78 cm

The sum of the vertical displacement is calculated as follows;

∑Y = 83 cm x sin (90)    +    57 cm  x  sin (159)  +  67 cm x sin (221)

∑Y  = 59.47 cm

The magnitude of the displacement is calculated as follows;

d = √ [ ( -103.78 )² + ( 59.47)² ]

d = 119.6 cm

The direction of the displacement is calculated as follows;

θ = arc tan ( 59.47 / 103.78 )

θ = 29.8⁰

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• The position vector at location D: 1

• The change in position (the displacement) between location D and location F: 3

• The change in velocity between location D and location F: 2

• The change in momentum between location D and location F: 4

• The average net force between location D and location F: EP (zero magnitude)

The position vector at location D is represented by arrow 1, as it indicates the location of the object at that point. The change in position, or displacement, between location D and location F is represented by arrow 3, as it shows the overall change in position of the object from one location to the other. The change in velocity between location D and location F is represented by arrow 2, as it shows the overall change in the object's velocity during that time.

The change in momentum between location D and location F is represented by arrow 4, as it shows the overall change in the object's momentum during that time. The average net force between location D and location F cannot be determined with the information given.

The complete question is given below in the image.

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The following is required to have a successful collision: ii. A collision of the appropriate orientation must occur,  iii. Transfer of energy must occur in a collision such that the molecule has energy equal to or greater than the activation energy, v. Formation of products.

Collision is when two objects come in contact with one another and experience a force as a result. This force can be a direct result of the objects hitting each other, or it can be the result of the objects exerting a force on one another in order to move away. In either case, the objects experience a momentary change in their respective velocities.

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The wall reaction at point A in newton is most nearly calculated to be equal to 60 N.

Wall reaction means that when you push on a wall, the wall pushes back on you with force equal in strength to the force you exerted.

Cylinder is in a state of static equilibrium, which means that net force and net torque acting on it are both zero. Force exerted by the wall at point A is equal in magnitude but opposite in direction to force exerted by the cylinder on wall at point A. Since the cylinder is not accelerating, net force acting on it is zero.

Since the force exerted by the wall at point A is equal in magnitude but opposite in direction to the weight of the cylinder, we say that the wall reaction at point A = 1/2 * weight of cylinder = 1/2 * 120 N = 60 N.

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Inferential statistics is used to determine whether a process that fills bottles with soda is working properly by weighing a sample of bottles, so the given statement is true.

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(a) The electric field strength inside the capacitor is 2,519.35 N/C.

(b) The smallest possible spacing between the plates is 2 cm.

The time of motion of the electron is calculated as follows;

X = Vₓt

t = X / Vₓ

where;

t = ( 0.04 m ) / ( 5 x 10⁶ x cos 45 )

t = 1.13 x 10⁻⁸ s

The force of the electron is calculated as follows;

F = mv / t

where;

F = ( 9.11 x 10⁻³¹ x 5 x 10⁶ ) / ( 1.13 x 10⁻⁸ )

F = 4.03 x 10⁻¹⁶ N

The electric field strength inside the capacitor is calculated as follows;

E = F / q

E = ( 4.03 x 10⁻¹⁶  ) / ( 1.6 x 10⁻¹⁹ )

E = 2,519.35 N/C

The smallest possible spacing between the plates is calculated as follows;

vertical acceleration of electron;

a = ( Vy ) / t

a = ( 5 x 10⁶  x sin45 ) / ( 1.13 x 10⁻⁸ )

a = 3.13 x 10¹⁴ m/s²

The vertical displacement of the electron;

0 = Vy² - 2ay

y = Vy² / 2a

y = ( 5 x 10⁶ x sin 45 )² / ( 2 x  3.13 x 10¹⁴ )

y = 0.02 m

y = 2 cm

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(a) Work function of the metal is 2.74 eV. (b)  maximum speed of the ejected electrons is 1.15 x 10^6 m/s (1.15 million m/s)

The work function is the minimum energy required to remove an electron from the surface of a metal.

AS, Work function (Φ) = hν - eV0

(V0) is stopping potential  and  (ν) is the frequency of the incident light

Given, wavelength of the incident light is 437 nm,

ν = c / λ = 3.00 x 108 m/s / 437 x 10-9 m = 6.87 x 1014 Hz

Hence, Φ = hν - eV0 = 6.626 x 10-34 J ∙ s * 6.87 x 1014 Hz - 1.60 x 10-19 C * 1.67 V = 4.36 x 10-19 J = 2.74 eV

So the work function of the metal is 2.74 eV.

(b) Maximum speed of the ejected electrons can be calculated using the formula: Vmax = √(2eV0/mel)

Vmax is the maximum speed of the ejected electrons, e is charge of an electron, V0 is stopping potential and mel is mass of the electron.

Vmax = √(2 * -1.60 x 10^-19 C * 1.67 V / 9.11 x 10^-31 kg) = 1.15 x 10^6 m/s

So, the maximum speed of the ejected electrons is 1.15 x 10^6 m/s (1.15 million m/s)

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Traces gases and heavy elements are the examples of the substances that could be in the earths spectrum. They cannot be detected because the technology to do this is not available.

There are several substances that could be present in Earth's spectrum, but it is difficult to say that they are definitely present due to the limitations of current technology and methods for detecting and analyzing these substances. Some examples include:

Trace gases: Gases such as methane, nitrous oxide, and carbon monoxide can be present in small concentrations in the Earth's atmosphere, but it is difficult to detect them with high accuracy due to the limitations of current sensing technology.

Heavy elements: Elements such as gold, platinum, and mercury are present in trace amounts in the Earth's crust, but it is difficult to detect them using current analytical methods.

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The resistance between two points on the same finger is likely due to the resistance of the skin and the small amount of muscle and fat that is present in the finger.

The resistance between two points on opposite hands is likely due to the resistance of the skin and the larger amount of muscle and fat that is present in the hand. The resistance decreases when more skin is brought into contact with the probes of the ohmmeter because more skin in contact means more surface area for the current to flow through, thus reducing the resistance. The dramatic drop in resistance when the skin is wet is likely due to the fact that water is a better conductor than dry skin. This observation suggests that the resistance of the human body is largely due to the resistance of the skin, and that the internal resistance of the body (i.e., the resistance of muscles, bones, etc.) is relatively low in comparison.

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Answer: d

Btw if you get it wrong, sry.. :(

I think its d because overly permissive means that you give people freedom and if a parent gives their kid freedom they would be very dependent and immature. (freedom as in the parent dosen't care what the kid does and gives into the kid.)

Since the cart moves along the track at a constant speed, its velocity vector at points a, b, and c will have the same magnitude and direction.

The velocity vector can be represented as an arrow pointing in the direction of motion with the magnitude being the speed of the cart.

The acceleration vector at points a, b, and c will be zero since the cart is moving at a constant speed. The acceleration vector can be represented as a zero vector or a vector of length 0 with no direction.

So, the velocity and acceleration vectors at points a, b, and c can be represented as:

Point a:

Point b:

Point c:

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