The sum of two point charges is -15µC. They attract each other with a force of 9 x 10-2 N when kept 5m apart. Find their charges.​

Gravity does 62.72 J of work on the block during this process.

What is work done?

Work is defined as the energy transferred to or from an object by the application of a force over a distance. In other words, work is done when a force acts on an object to cause it to move in the direction of the force.

To calculate the work done by gravity on the block, we need to find the change in the gravitational potential energy of the block as it moves down the incline. We can do this by using the formula:

ΔU = mgh

where ΔU is the change in potential energy, m is the mass of the block, g is the acceleration due to gravity, and h is the height change of the block.

The height change of the block is equal to the vertical distance it moves down the incline, which can be found using trigonometry:

h = d sin θ

where d is the distance the block moves down the incline and θ is the angle of the incline.

We are given that the block moves a distance of 1.6 m down the incline, but we are not given the angle of the incline. However, we can use the given information about the block's velocity to find the angle.

The block starts from rest and acquires a velocity of 4.0 m/s after moving a distance of 1.6 m in 0.80 s. We can use the kinematic equation:

v2 = v1 + 2ad

where v1 is the initial velocity (which is zero), a is the acceleration, and d is the distance.

Rearranging this equation gives:

a = (v2 - v1) / (2d) = 5.0 m/s^2

The acceleration of the block is equal to the component of gravity parallel to the incline, which is g sin θ, where g is the acceleration due to gravity (9.8 m/s^2). So we have:

g sin θ = a

sin θ = a / g = 0.51

Taking the inverse sine of both sides gives:

θ = 30°

Now we can calculate the height change of the block:

h = d sin θ = 1.6 m * sin 30° = 0.8 m

Finally, we can calculate the work done by gravity:

ΔU = mgh = (8.0 kg) * (9.8 m/s^2) * (0.8 m) = 62.72 J

Therefore, gravity does 62.72 J of work on the block during this process.

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The nondimensional initial and boundary conditions are: At ξ=0, θ(0,t)=0, At ξ=1, θ(1,t)=1 ,At t=0, θ(ξ,0)=0

A boundary is an imaginary line that marks the limits of an area. It is used to separate different areas and to define ownership. Boundaries can be physical, such as a fence or an invisible line that marks a property line. Boundaries can also be social, such as the division between two countries or cultures.

(i) The 1-D steady-state energy equation for conduction of heat in a slab is:

d2T/dx2 = (1/k) (q''/A)

where T is the temperature, x is the position, k is the thermal conductivity, q'' is the heat flux per unit area, and A is the area of the slab.

The initial and boundary conditions for the slab are:

At x=0, T(0,t)=T0=303 K

At x=D, T(D,t)=T1=623 K

At t=0, T(x,0)=T0=303 K

(ii) Nondimensionalizing the equation, we obtain:

d2θ/dξ2 = (1/β) (Φ/A)

where θ is the nondimensional temperature (θ=T-T0)/(T1-T0), ξ=x/D is the nondimensional position, β=kD/[A(T1-T0)] is the Biot number, and Φ=q''D/(A(T1-T0)) is the nondimensional heat flux.

The nondimensional initial and boundary conditions are:

At ξ=0, θ(0,t)=0

At ξ=1, θ(1,t)=1

At t=0, θ(ξ,0)=0

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Answer: Thermal energy is a physical content thermal energy can come from friction or something hot or cold

Explanation:

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If the mass of the object is high then there will be less acceleration and vice verse. mass is offers inertia and resistance to motion of the object. high mass leads to high force to produce acceleration.

Force is responsible for the motion of an object. it produces acceleration in the body. According to newton's second law force is mass times acceleration i.e. F =ma. Its SI unit is N which is equivalent to kg.m/s². There are two types of forces, balanced force and unbalanced force. Balanced forces are those forces which are opposite in direction and equal in magnitude. When Net force acting on a body is zero then we call it as balanced force. Balanced force is not responsible for the motion of the body. ex. when two persons pulling rope on both end with equal magnitude which cause them to be balanced force have 0 net force.

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Scientific question can be resolved by experimentation, observation, or other data collection methods.

A scientific investigation is an effort to use the scientific method to resolve a topic.

Since, they must be testable and objective, scientific questions vary from other types of questions. This implies that a scientific theory must be able to be frequently verified as true.

By examining quantifiable data and supporting evidence, it can be resolved by experimentation, observation, or other data collection methods.

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The height of the luggage with work done of 100J with a mass of 10.5 kg is 0.97m.

Work done equals the product of force and displacement. The energy that gets transferred by the force to move a object is called work done. Work done is equal to the potential energy of the object.

Work done = potential energy

                   = m×g×h

m is the mass of the luggage = 10.5 kg

g is the acc. due to gravity = 9.8 m/s

W is the work done = 100J

h (height) = W / (m×g)

               = 100 / ( 10.5×9.8)

              = 0.97 m

Thus, the luggage rises above the ground with a height of 0.97 m.

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Answer:

We can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration, to solve this problem.

The force on the tackle dummy can be calculated as follows:

F = m * a

F = 75.0 kg * 3.00 m/s^2

F = 225 N

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. Therefore, the force on the football player is also 225 N, but in the opposite direction to the force on the tackle dummy.

So the force on the football player is 225 N, directed opposite to the direction of the tackle dummy's acceleration.

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The force on the football player is 150.0N.

To calculate the force on the football player, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. In this case, the mass of the football player is 50.0kg and the acceleration is 3.00 m/s2. Therefore, the force on the football player is:

Force = mass x acceleration

Force = 50.0kg x 3.00 m/s2

Force = 150.0 N

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The work done on the environment by the gas as the balloon expands is 30495 J.

Define work done ?

In physics, work is defined as the energy transferred when a force applied to an object moves that object. In other words, work is done on an object when a force causes a displacement in the direction of the force.

According to the first law of thermodynamics:

ΔU = Q - W,

where ΔU is the change in internal energy of the gas, Q is the heat added to the gas, and W is the work done by the gas on the environment.

In this problem, ΔU = 7949 J and Q = 38444 J. Solving for W, we get:

W = Q - ΔU = 38444 J - 7949 J = 30495 J

Therefore, the work done on the environment by the gas as the balloon expands is 30495 J.

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The basic machine in the question has a mechanical advantage of 4.9, B.

To determine the mechanical advantage of the simple machine, use the formula:

Mechanical Advantage (MA) = output force / input force

Use the formula for the lever arm:

lever arm = distance from pivot to point of force

For the input force, the lever arm is 0.7 meters. For the output force, the lever arm is 3.4 meters.

So, the mechanical advantage is:

MA = output force / input force = lever arm of output force / lever arm of input force = 3.4 / 0.7 = 4.9

Therefore, the mechanical advantage of the simple machine shown in the question is 4.9.

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The force acting on the object is the weight of the object, which is given by:

F = m * g

where m = 3.0 kg is the mass of the object and g = 9.81 m/s^2 is the acceleration due to gravity.

F = 3.0 kg * 9.81 m/s^2 = 29.43 N

The net force acting on the object when the lift goes down is the difference between the weight of the object and the force required to accelerate it downward:

Fnet = F - m * a

where a = 0.1 m/s^2 is the acceleration of the lift.

Fnet = 29.43 N - 3.0 kg * 0.1 m/s^2 = 29.13 N

The reading on the spring balance is equal to the net force acting on the object, which is 29.13 N.

Answer:

Today's stereotyping, bias, and racial profiling can intersect with religion in several ways. In many cases, individuals who are members of certain religious groups may be subject to stereotyping and prejudice based on their beliefs, dress, or appearance. This can lead to bias and discrimination in employment, housing, and other areas of life.

Racial profiling, or the use of race or ethnicity as a factor in law enforcement practices, can also intersect with religion in cases where individuals of certain religious groups are targeted for surveillance or scrutiny based on their perceived association with terrorism or other criminal activities. This can lead to a breakdown of trust between law enforcement and the affected communities, and can have negative consequences for public safety.

Personal opinions fueled by social media outlets can also affect how we understand or view religious beliefs. Social media can provide a platform for individuals to express their opinions and beliefs, but it can also perpetuate stereotypes and misinformation about certain religious groups. This can lead to polarization and divisiveness, and can contribute to a climate of fear and suspicion towards certain religious groups.

To address these issues, it's important to promote education and awareness about different religious beliefs and practices, and to work towards building inclusive and respectful communities. This can involve engaging in dialogue with individuals from different religious backgrounds, challenging stereotypes and prejudices, and advocating for policies that promote equity and justice for all.

Explanation:

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Answer:

The force applied to the large piston is 1.34 x 10^8 N.

The magnitude of horizontal force, is 33.27 N.

Length of the uniform bar, L = 24 m

Mass of the uniform bar, m = 5 kg

Angle between the cord and the bar, θ₁ = 90°

Angle between the cord and the wall, θ₂ = 50°

For the horizontal equilibrium,

Hₓ = T sinθ₂

Hₓ = T x sin 50

Hₓ = 0.766 T

For the vertical equilibrium,

Hy + T cosθ₂ = mg

Hy + T cos 50 = 5 x 9.8

Hy + 0.642 T = 49 N

For rotational equilibrium,

mg (L/2) = T x L

So,

T = mg/2 = 5 x 9.8/2

T = 24.5 N

Therefore, the magnitude of horizontal force,

Hy = 49 - (0.642 x 24.5)

Hy = 49 - 15.73

Hy = 33.27 N

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Two inertial observers with relative velocity c=2 have different time measurements due to time dilation and relativity of simultaneity.

Define time dilation ?

Time dilation is a phenomenon predicted by Einstein's theory of relativity, where time appears to pass slower for an observer in motion relative to a stationary observer.

a) The event where your watch ticks t=1 second would be one second above your worldline, and the event where your friend's watch ticks t=1 second would be 2 seconds to the left of that point on your friend's worldline. Therefore, the event where your friend's watch ticks t=1 second is at t=-1 seconds in your reference frame. The event is drawn correctly.

b) To sketch the line of events at t=1 second as determined by your frame of reference, we draw a horizontal line across the diagram one second above your worldline. This line represents all events that are simultaneous with your watch ticking t=1 second.

c) To sketch the line of events at t=1 second as determined by your friend's frame of reference, we first need to find out at what time in your frame of reference his watch ticks t=1 second. Since your friend's watch is moving with velocity c=2 relative to you, time dilation occurs, and his watch appears to tick slower than yours. Therefore, the time in your frame of reference when his watch ticks t=1 second is given by:

[tex]t' = t / \sqrt{(1 - v^2/c^2)} = 1 \sqrt{(1 - 2^2/3^2)} = 3/5 seconds[/tex]

So, the line of events at t=1 second in your friend's frame of reference is a diagonal line sloping upwards to the right with a slope of 3/2.

d) The event where your friend's t=1 second line of simultaneity crosses your worldline is the event where your friend sees your watch ticking t=1 second. In your frame of reference, this event occurs at t'=1/5 seconds (since your friend's watch appears to tick slower). In your friend's frame of reference, he assigns a time of t=2 seconds to this event, since that is the time shown on his watch when he sees your watch ticking.

e) The event where your t=1 second line of simultaneity crosses your friend's worldline is the event where you see your friend's watch ticking t=1 second. In your frame of reference, this event occurs at t'=1/5 seconds. In your friend's frame of reference, he assigns a time of t=-2 seconds to this event, since that is the time shown on your friend's watch when you see his watch ticking.

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The potential difference of a cell or battery tells you the size of the voltage, and how much energy can be transferred by the charges.

Energy is the ability to do work. It is a fundamental part of nature and it takes several different forms. These forms include kinetic energy, potential energy, thermal energy, electrical energy, chemical energy, and nuclear energy. Kinetic energy is the energy of motion and it can be found in moving objects. Potential energy is the stored energy an object has due to its position or state. Thermal energy is heat and it is related to the motion of molecules. Electrical energy is the energy of electric current and it is carried by electrons. Chemical energy is the energy stored in the bonds of atoms and molecules. Nuclear energy is the energy stored in the nucleus of an atom, released through nuclear reactions such as fission and fusion. In order to do work, energy must be transformed from one form to another. This is done through energy conversion, which involves the transfer of energy from one form to another.

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Answer:

The potential difference of a cell or battery tells you the size of the voltage, and how much energy can be transferred by the charges.

Explanation:

Potential difference is defined as the amount of work done per unit charge in moving a charge from one point to another in an electric field. In the case of a cell or battery, the potential difference between its terminals is a measure of the electrical energy that can be transferred by the charges as they flow through an external circuit. The higher the potential difference, the more electrical energy can be transferred per unit charge.

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If G = 0 and the forces are in equilibrium, then the net force on the object must be 0. This means that the sum of the forces must be 0. The values of F and α are 8N and -19.47° .

Force is a physical quantity that describes the interaction between two or more objects. It is a vector quantity, meaning it has both magnitude and direction. Forces can cause an object to accelerate, decelerate, change direction, or remain in its current state of motion. Some examples of forces include gravity, friction, and electromagnetic forces. Force is one of the most fundamental concepts in physics and is the basis of many physical phenomena. It is essential to understand forces in order to understand how the universe works.

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Explanation:

Reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves.

Answer:

The image formed by a thin convex lens with a focal length of 9.00 cm when an object is placed at a distance of 27.0 cm away from the lens is located 18 cm away from the lens. The image formed is an upright, virtual image.

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The radius of the electron beam when the accelerating voltage is 150 V and the coil current is 1.3 A is 0.0054 meters.

An electron beam is known as a stream of electrons that an electric field has rapidly accelerated. It is commonly produced by an electron cannon, which releases electrons from a heated cathode and accelerates and concentrates the electron beam using a series of electrodes.

The following equation can be used to determine an electron beam's radius: r = (m x v / (B x q)

r is the radius of the beam

m is the mass of the electron

v is the velocity of the electron

B is the magnetic field strength

q is the charge of the electron

Finding the electron's velocity is necessary to solve for the electron beam's radius. The rate of an electron can be determined using the following equation:

v = (2 x e x V / m)²

e is the electron's basic charge.

V is the accelerating voltage

m is the mass of the electron

v =  [tex]\sqrt{2 * 1.602 * 10 ^{-19} * 150 / 9.109 * \ 10^{-31}[/tex]

= 3.23 x  m/s

The radius can now be obtained by substituting this value into the first equation together with the other supplied values:

r = (9.109 x 10⁻³¹ kg × 3.23 x 10⁶ m/s) / (0.2 T × 1.602 x 10⁻¹⁹ C)

= 0.0054 m

As a result, the electron beam's calculated radius is around 0.0054 meters.

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Answer: The answer would be B since the students have only tested the smaller ramp so far.

Explanation:

The speed of the first crate (m1) immediately before the first collision is 8.97 m/s. The mass of the second crate (m2) is 4.00 kg.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in units of distance per unit of time, such as miles per hour or meters per second. Speed is a scalar quantity, meaning it only has magnitude and not direction. This means that when an object moves faster, its speed increases, but its direction remains the same. Speed can also refer to the rate at which something happens, such as the speed at which a chemical reaction occurs.

The speed of the third crate (m3) after its collision is 2.40 m/s.The energy lost in the first collision is 271.4 J.The energy lost in the second collision is 89.8 J.

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The magnitude of resulting acceleration of the block on frictionless surface is found to be 3.99 m/s².

The force applied at an angle can be resolved into its components along the x and y directions,

Fx = Fcos(30°)

Fx = (23N)cos(30°)

Fx = 19.95 N

Fy = Fsin(30°)

Fy= (23N)sin(30°)

Fy = 11.5 N

Since the horizontal surface is frictionless, the only force acting on the block is the component of the applied force in the x direction. Therefore, the net force acting on the block is Fnet = Fx.

Fx = 19.95 N

Using Newton's second law of motion, we can find the acceleration of the block Fnet = Ma, mass of the block is M and resulting acceleration is a. Solving for a, we get,

a = Fnet / M

a = 19.95 N/5.0 kg ≈ 3.99 m/²

Therefore, the magnitude of the resulting acceleration of the block is approximately 3.99 m/s².

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When you climb a ladder, your potential energy increases as you move upwards against gravity. Therefore, the energy transformation that takes place when you climb a ladder is:

Potential energy transforms into kinetic energy.

So, the correct answer is C.

The final velocity with which the car strike the train is 15 m/s.

Velocity of an object is the time rate of change of displacement covered by the object.

Here,

Initial velocity of the car, u = 25 m/s

Time taken, t = 3 s

Displacement of the car after applying the brake, s = 60 m

The average velocity ,

v' = displacement/time

v' = s/t

Also, the average velocity can be given as,

v' = (u + v)/2

So,

s/t = (u + v)/2

Therefore, the final velocity with which the car strike the train,

v = (2s/t) - u

v = (2 x 60/3) - 25

v = 15 m/s

Hence,

The final velocity with which the car strike the train is 15 m/s.

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A fox getting its energy from a mouse and a mouse getting its energy from the grass  shows evidence of the carbon cycle

The carbon cycle is a necessary component within the global interchange between living species and the environment.

Through photosynthesis, plants absorb carbon dioxide from the atmosphere and convert it into vitalizing organic matter for consumption by animals; these organisms expend the energy obtained and consequently expel carbon dioxide back up into the air via respiration.

Moreover, when animals meet their demise and decompose, the carbon in their bodies is redeposited into Earth's soil only to eventually be delivered once again to the atmosphere through erosive activities or those generated from volcanoes.

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Q 17. The high-temperature reservoir has a temperature of 689.39°C.

Q 18. (Rounded to two decimal places) The frictional coefficient between the plane and the body is 0.51.

For Q17:

Efficiency of real engine = 80% of efficiency of Carnot engine

η_real = 0.8η_Carnot

Efficiency of Carnot engine = 1 - T_Low/T_High

η_Carnot = 1 - (273+30)/(T_High+273)

Output power of engine = rate of heat discharge into low temp reservoir x efficiency

250 W = 450 J/s x 0.8η_Carnot

η_Carnot = 0.6944

0.6944 = 1 - 303/T_High

T_High = 962.39 K

Temperature of high-temperature reservoir = 962.39 - 273 = 689.39°C

Therefore, the temperature of the high-temperature reservoir is 689.39°C.

For Q18:

Let u be the initial velocity of the body

Let f be the frictional coefficient between the plane and the body

Let g be the acceleration due to gravity

Using the equations of motion:

Time of ascent = t₁ = usin30/g

Time of descent = t₂ = usin30/g

Given that t₁ = (1/2)t₂

Therefore, t₂ = 2t₁ = 2×(u×sin30/g)

Using the law of conservation of energy:

Initial kinetic energy + initial potential energy = final kinetic energy + final potential energy + work done against friction

(1/2)3u² + 39.81usin30 = (1/2)3(ucos30)² + 0 + f39.81×cos30

Simplifying this equation:

(3/2)u² + 44.145u - 44.145×f = 0

Given that t₁ = (1/2)t₂:

t₁ = usin30/g = (1/2)usin30/g

Simplifying this equation:

u² = (2g×sin30)t1

u^2 = 9.81t1

Substituting this value of u² in the previous equation:

(3/2)9.81t₁ + 44.145√(9.81t1) - 44.145×f = 0

Solving for f:

f = 0.505 Ns/m

Therefore, the frictional coefficient between the plane and the body is 0.51 (rounded to two decimal places).

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