Three charges Q1 = -2uC(0,0) cm, Q2=4uC(0,10)cm and Q3=-3uC(15,0)cm acts on one another. Find the magnitude of the total electric force and the angle that the total electric force makes with the positive x axis.​

The  Kinetic energy of the system T = 6m * b² * ω² / 2

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force.

To find the kinetic energy of the system;

The kinetic energy of the bar OC is given by:

T_OC = 1/2 * m * b² * ω²

Note that:

m= Metre

b= Bar

ω = omega

The kinetic energy of the bar AB is given by:

T_AB = 1/2 * (2m) * (2b)² * ω²

The kinetic energy of the sliders A and B is given by:

T_A+B = 1/2 * m * v_A² + 1/2 * m * v_B²

where v_A and v_B are the velocities of sliders A and B, respectively.

To find the velocities of the sliders, we can use the relationship between the angular velocity of the bar OC and the linear velocities of the sliders:

v_A = b * ω * cos(φ)

v_B = b * ω * sin(φ)

Substituting these expressions into the equation for T_A+B, we get:

T_A+B = 1/2 * m * (b * ω * cos(φ))² + 1/2 * m * (b * ω * sin(φ))²

= 1/2 * m * b² * ω² * (cos^2(φ) + sin²(φ))

= 1/2 * m * b² * ω²

Since cos²(φ) + sin²(φ) = 1, the kinetic energy of the sliders is equal to the kinetic energy of the bar OC.

Finally, the total kinetic energy of the system is the sum of the kinetic energies of the three parts:

T = T_OC + T_AB + T_A+B

= 1/2 * m * b² * ω² + 1/2 * (2m) * (2b)^2 * ω² + 1/2 * m * b² * ω²

= (m+4m+m) * b² * ω²/ 2

= 6m * b² * ω² / 2

Therefore, the total kinetic energy of the system is given by:

T = 6m * b² * ω² / 2

Therefore, one should note  that this result does not depend on the value of φ, so it is not necessary to know the value of φ in order to find the kinetic energy of the system.

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Answer:

\(\boxed {\tt 14.7 \ Newtons}\)

Explanation:

Weight is force due to gravity.

The formula for weight is:

\(W=m*g\)

where m is the mass and g is the acceleration of gravity.

On Earth, the acceleration due to gravity is 9.8 meters per seconds squared.

The mass of the book is 1.5 kilograms. Therefore:

\(m= 1.5 \ kg \\g=9.8 \ m/s^2\)

Substitute the values into the formula.

\(W= 1.5 \ kg *9.8 \ m/s^2\)

Multiply.

\(W=14.7 \ kg*m/s^2\)

1 kg meter per second squared is equal to 1 Newton, so our answer of 14.7 kg*m/s² is equal to 14.7 Newtons.

\(W=14.7 \ N\)

The weight of a 1.5 kilogram book on Earth is 14.7 Newtons.

Answer:

Answer:

Explanation:

Weight is force due to gravity.

The formula for weight is:

where m is the mass and g is the acceleration of gravity.

On Earth, the acceleration due to gravity is 9.8 meters per seconds squared.

The mass of the book is 1.5 kilograms. Therefore:

Substitute the values into the formula.

Multiply.

1 kg meter per second squared is equal to 1 Newton, so our answer of 14.7 kg*m/s² is equal to 14.7 Newtons.

The weight of a 1.5 kilogram book on Earth is 14.7 Newtons.

Explanation:

The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 then, Mass of A = 8m/5 kg.

Let the mass of the body A be ‘m’.

The two strings are taut so they exert a tension ‘T’ on body A.

Let ‘a’ be the acceleration produced in the system.

The free body diagram of body A is given below: mA + 2T = mA + ma = mA + m(2)mA + 10T = mA + ma = mA + m(2)

As the two strings are taut, we can say that tension in both strings is equal.

Therefore 2T = 10T or T = 5T As the body A is resting on a smooth horizontal table, there is no friction force acting on the body A.

The net force acting on body A is the force due to tension in the strings. ma = 2T – mg …(1)

As per the given problem, the system is released from rest.

Hence the initial velocity is zero.

Also, we are given that the system accelerates at 2 m/s2.

Therefore a = 2 m/s2 …(2)

From the equations (1) and (2), we get, m(2) = 2T – mg …(3)⇒ m(2) = 2×5m – mg⇒ 2m = 10m – g⇒ g = 8m/5

Thus, the mass of A is 8m/5 kg.

Answer: Mass of A = 8m/5 kg.

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Answer thermodynamic temperature T kelvin

A Kelvin

Explanation The kelvin is the SI unit of thermodynamic temperature and one of the seven SI base units. Unusually in the SI we also define another unit of temperature called the degree Celsius (°C).

Answer:

Explanation: The moon of the Earth is much lighter in mass than the planet itself. In addition to being smaller than Earth, the Moon is also only approximately 60% as dense. A human weighs less on the Moon because there is less gravitational attraction there than there is on Earth.

Moon has lesser mass as conpared to earth, therefore gravitational force exerted by moon on any object is lesser than that of gravitational force exerted by earth on the same object, hence we can say that astronauts weight less on moon, i.e approximately 1/6 th of their weight on earth.

The pulleys can be attached in such a way that the force required to lift the object will be less, and the direction of the pulley can be shifted systematically.

In the body, force is the result of either a push or a pull. The three main categories of forces are friction, nuclear, and gravitational. For instance, when a hand strikes a wall, the hand puts force on the wall and the wall also exerts a force on the hand. Newton was given a variety of laws to help him understand force.

We can move objects much more easily because of simple machinery called pulleys that can shift the direction of the force. When we employ many pulleys together, they also boost mechanical advantage. By using this method, less force is needed to raise an object.

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Answer:

a) Option D

b) Option A

Explanation:

a) Option D

Because a massive car will have more inertia which will make the car move faster but a massive car simultaneously will have more friction thereby restricting its movement in the forward direction. Hence, all the three cars will move equal distance.

b) Option A, Car F

Being most massive car, the frictional force required to stop the car will be highest.  

Given data:

* The weight of the object is 88 N.

* The force acting on the object is 100 N.

Solution:

The weight of the object in terms of the mass of the object is,

where m is the mass of the object, and g is the acceleration due to gravity,

Substituting the known values,

According to Newton's second law, the acceleration of the object in terms of the force acting on the object is,

where a is the acceleration of the object,

Substituting the known values,

Thus, the acceleration of the object is 11.14 meters per second squared.

The interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.

To determine the interval between the first and second echo, we need to consider the time it takes for sound to travel from the student to the first cliff, and then from the first cliff to the second cliff, and finally back to the student.

Let's break down the distances and calculate the time for each part of the journey:

Distance from the student to the first cliff: 330 meters

Time taken: t₁ = distance / speed = 330 m / 330 m/s = 1 second

Distance from the first cliff to the second cliff: 990 meters

Time taken: t₂ = distance / speed = 990 m / 330 m/s = 3 seconds

Distance from the second cliff back to the student: 990 meters

Time taken: t₃ = distance / speed = 990 m / 330 m/s = 3 seconds

Now, we can calculate the total interval between the first and second echo by adding up the individual times:

Interval between first and second echo = t₁ + t₂ + t₃ = 1 s + 3 s + 3 s = 7 seconds

Therefore, the interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.

It's important to note that this calculation assumes a straight path for the sound waves and neglects factors such as air temperature and wind that can affect the speed of sound. Additionally, it assumes perfect reflection of sound waves off the cliffs, which may not be the case in real-world scenarios.

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Note the complete questions is:

A student stands 330m from a tall cliff which is 990m from another tall cliff. If the speed of sound between the cliffs is 330m/s.What is the interval between the first and second echo?

The net force on particle 1 or charge 1 is determined as 32.73 N.

The net force acting on charge 1 is calculated by applying Coulomb's law as shown below;

Force due to charge 2;

F12 = (9 x 10⁹ x 5.16 x 10⁻⁶ x 8.99 x 10⁻⁶)/ (0.22²)

F12 = 8.625 N

Force due to charge 3;

F12 = (9 x 10⁹ x 89.9 x 10⁻⁶ x 8.99 x 10⁻⁶)/ (0.55²)

F12 = 24.1 N

The net force on charge 1 is calculated as;

F (net) = 8.625 N + 24.1 N

F (net) = 32.73 N

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Answer:

   a = 8.4 m / s²

Explanation:

The mean acceleration is defined by

          a = (v_f- v₀) / (t_f - t₀)

where v are the final and initial velocities, respectively and t is the time interval

Let's apply this equation to our case

the final velocity is 99 m / s and the initial velocity is 57 m / s

         a = (99 - 57) / (15 - 10)

         a = 8.4 m / s²

The speed of light in material B is 1.6625 × 108 m/s.

The refractive index of a material is its optical density relative to that of a vacuum.

Material B has a refractive index of nB, and its speed of light is vB.

The speed of light in material A is given as 1.25 x 108 m/s.

The refractive indices of materials A and B have a ratio of nA/nB = 1.33.

We will use the formula:

nA/nB = vB/vA = nA/nB.

Therefore, nA/nB = vB/1.25 x 108 m/s.

This equation can be rearranged to give the speed of light in material B:

vB = nA/nB × 1.25 x 108 m/s.

Therefore, vB = 1.33 × 1.25 × 108 m/s.

We will perform this calculation:

vB = 1.6625 × 108 m/s.

Therefore, the speed of light in material B is 1.6625 × 108 m/s.

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I'll assume you mean the hill is 150 m along its slope, since that's the direction the ball rolls.

The distance x it rolls after time t is

x = (2.5 m/s) t + 1/2 (6.3 m/s²) t²

Set x = 150 m and solve for t :

150 m = (2.5 m/s) t + 1/2 (6.3 m/s²) t²

(3.15 m/s²) t² + (2.5 m/s) t - 150 m = 0

t = 1/2 [(-2.5 m/s) + √((2.5 m/s)² - 4 * (3.15 m/s²) * (-150 m))]

(Use the quadratic formula, and take the positive root)

t ≈ 6.52 s

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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Answer:

b and d

Explanation:

The correct answer choice concerning weight and energy balance which is most accurate is the optimal amount of physical activity needed to maintain weight is unclear.

Energy balance refers to the way in balance is achieved when intake of energy is equal to energy expended.

Energy refers to the impetus behind all motion and all activity. If is also the capacity to do work. Energy is measured in a unit dimensioned in mass × distance²/time² (ML²/T²) or the equivalent.

So therefore, the correct answer choice concerning weight and energy balance which is most accurate is the optimal amount of physical activity needed to maintain weight is unclear.

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Answer:

\(thank \: you\)

Question:-

Convert 4cm to m

Solution:-

Lets do

First note down the below formula

\(\boxed{\sf 1m=10^{2}cm}\)

Then

\(\boxed{\sf 1cm=10^{-2}cm}\)

Now we are given 4cm

So convert

\(\\ \sf\longmapsto 4\times 10^{-2}m\)

If we simplify to decimal

\(\\ \sf\longmapsto 4cm=0.04m\)

Hence done .

The centripetal force in Newtons provided by the friction between the blade of the skate and the ice is 490 N

The following data were obtained from the question:

The centripetal force can be obtained as illustrated below:

F = mv²/r

= (50 × 7²) / 5

= (50 × 49) / 5

= 2450 / 5

= 490 N

Thus, we can concluded that the centripetal force is 490 N

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Answer:

hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello

I assume this is the motion of the simple pendulum

T = 2π × \(\sqrt{\frac{L}{g } }\)

=> \(\frac{T1}{T2 }\) = \(\sqrt{\frac{g2}{g1} }\)

Given T1= 3s g1= 9.79 g2= 9.82

=> T2 = 3.00459 s

Answer:

Hydrochloric and Hydrofluoric Acids.

(a) The height above point A will be the tray when the metal ball leaves the tray is 29.24 cm.

(b) The total time elapses between releasing the system at point A and the ball leaving the tray is 0.09 seconds.

(c) The speed of the ball moving just as it leaves the tray is 1.16 m/s.

A) F= gx

ma=gx

(2.295)(9.8)=190x

X= 11.84 cm

B) h= 11.84+17.4 = 29.24 cm

Y=Acos√kt/m-0

T= 0.09s

C) ½ mv² + ½ ky² = ½ kA²

v² = 1.16m/s

What is speed?

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It means that a material transmits waves can pass through the material and propagate or travel through it. without being absorbed or reflected.

When a material is said to transmit waves, it means that the wave can pass through the material and propagate or travel through it. The material allows the wave to pass through it without being absorbed or reflected. This means that the wave maintains its amplitude, frequency and wavelength as it travels through the material, and it doesn't lose energy. For example, light waves can pass through a transparent material such as glass and air, while they are absorbed by opaque materials such as wood and metal. Solids, liquids, and gases can all be penetrated by sound waves. Some materials, such as anisotropic materials, can transmit waves in different directions. For example, a material that is more conductive in one direction than in another, a wave that is propagating through it will travel differently depending on the direction it's coming from. The properties of a material that allow it to transmit waves are determined by the material's elastic and electromagnetic properties, density, and structure.

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Answer:

It is longer

Explanation:

According to the theory of special relativity, moving clocks run slower. So, the construction worker moving at a constant speed observers a time much longer than the time I observe since I am stationary. If t is the time observed by me and v is the speed of the construction worker, then, the time observed by the construction worker, t' is given by

t' = t/√[1 - (v/c)²] where c = speed of light

So, the construction worker reports a longer time interval than me since his time runs slower.

Explanation:

KE = q

½ mv² = mCΔT

ΔT = v² / (2C)

ΔT = (200 m/s)² / (2 × 236 J/kg/°C)

ΔT = 84.7°C

This question involves the concepts of the law of conservation of energy.

The temperature change of the bullet is "84.38°C".

According to the law of conservation of energy, total energy of the system must remain constant. Therefore, in this situation.

\(Kinetic\ energy\ of\ bullet\ before\ impact=heat\ absorbed\ in\ bullet\\\\\frac{1}{2}mv^2=mC\Delta T\\\\\Delta T = \frac{v^2}{2C}\)

where,

Therefore,

\(\Delta T = \frac{(200\ m/s)^2}{2(237\ J/kg.^oC)}\)

ΔT = 84.38°C

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Explanation:

The unified cell theory states that: all living things are composed of one or more cells; the cell is the basic unit of life; and new cells arise from existing cells.

hope it helps

plz mark as brainliest

Answer:

Egg, Embryo, infant, adolescent and adult

Answer:

egg,embryo,infant,adolesent,adlt /B

Explanation: