3) A tolley of mass 4kg, moving with a velocity
of 4 m/s collides with a trolley of mass 3kg moving
with a velocity of 3 m/s in opposite direction. If both
stick together after collision, Calculate the common
velocity​

Answer:

Explanation:

A scenario in which an authoritarian leadership would be beneficial is in law enforcement in emergency cases (that has to do with public safety or national security) without the bureaucratic bottlenecks of the legislature and judiciary. For example, the recent coronavirus pandemic, authoritarian leaderships would find it easier to enforce the laws on wearing of masks and also prevent producers of personal protective equipment (PPE) from unreasonably inflating prices of there PPEs.

As explained above, it would work well because there will be no legislative bottleneck that will start a hearing at the expense of public safety neither will there be a court that will stall the process at the same expense.

The risks here is that businesses (in this case that of producing PPEs) may find it difficult to survive since the "tone" of the pricing of PPEs will now be determined by government. It may even hinder healthy business competition. It may also lead to production of substandard PPEs in order to generate enough profit (since the main aim of any business is to generate profit).

Answer:

V = S / t     speed of wave

V = 2 * 180 m / 1 sec = 360 m/s       speed of sound wave

The inductive reactance of the series circuit of inductance 0.1 H is 37.68 Ohms.

The circuit diagram is attached below

Inductive reactance is the opposition offered by the inductor in an AC circuit to the flow of ac current.

To calculate the inductive reactance of the series circuit, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the inductive reactance is 37.68 Ohms.

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The possible energy of the emitted photons of the hydrogen atom in first energy level is -3.41 eV.

Hydrogen atom will emit electrons of certain energy when the hydrogen atom is in excited state.

Let a dot represent first energy level, the possible energy of the emitted photons is calculated as follows;

\(E = \frac{R_h}{n^2} \\\\E = \frac{-2.18 \times 10^{-18}}{(2)^2} \\\\E = - 5.45 \times 10^{-19} \ J\)

\(E = \frac{-5.45 \times 10^{-19}}{1.6 \times 10^{-19}} \\\\E = -3.41 \ eV\)

Thus, the possible energy of the emitted photons of the hydrogen atom in first energy level is -3.41 eV.

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The magnitude of the electric field at the midpoint between the two charged rings is zero.

The magnitude of the electric field at the midpoint between two charged rings can be calculated using the principle of superposition.

The electric field at the midpoint will be the sum of the electric fields produced by each ring individually. Since the charges on the rings are equal in magnitude and opposite in sign, the electric fields produced by each ring will have the same magnitude but point in opposite directions.

The electric field produced by a uniformly charged ring at a point on its axis can be calculated using the formula:

\(E = (k * Q * x) / (2 * π * ε * R^2 * (R^2 + x^2)^(3/2))\)

Where:

E is the electric field

k is Coulomb's constant\((8.99 x 10^9 N m^2/C^2)\)

Q is the charge on the ring

x is the distance from the center of the ring to the point on its axis

ε is the permittivity of free space \((8.85 x 10^-12 C^2/N m^2)\)

R is the radius of the ring

Since the rings have the same charge and are equidistant from the midpoint, the electric fields produced by each ring will cancel each other out, resulting in a net electric field of zero at the midpoint. Therefore, the magnitude of the electric field at the midpoint between the two charged rings is zero.

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Answer:

According to our principle, when an object is slowing down, the acceleration is in the opposite direction as the velocity. Thus, this object has a negative acceleration.

An object is moving to the left and is slowing down. its acceleration is acting in opposite direction of motion, that is, in right direction.

The rate at which velocity changes with time in terms of both speed and direction is referred to as acceleration. A point or object moving in a straight line is accelerated if it accelerates or decelerates. Even if the speed is constant, motion on a circle is accelerated because the direction is constantly changing. Both effects contribute to acceleration in all other types of motion.

Acceleration is a vector quantity because it has both a magnitude and a direction. Velocity is a vector quantity as well. The change in the velocity vector in a time interval divided by the time interval is defined as acceleration.

Hence, an object is moving to the left and is slowing down. its acceleration is acting in opposite direction of motion.

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simple methods to carry a sufferer encompass the four-hand seat, backpack carry, ski pole or tree limb backpack carry, and coiled rope seat. In the first method, two rescuers interlock hands. Each rescuer first grasps his right wrist with his left hand.

With a constant applied force, the energy goes into the category of mechanical work.

When a constant force is applied to an object, work is done on the object, transferring energy to it. In this case, as the object moves from position 0 m to 15 m, work is continuously being input into the system. The energy associated with this work is classified as mechanical work.

Mechanical work refers to the transfer of energy through the application of a force over a distance. In this scenario, the applied force is constant, and the object is displaced by 15 m. The work done is given by the equation:

Work = Force × Distance × cos(θ),

where θ is the angle between the applied force and the direction of displacement. Since the applied force is constant, the work done is proportional to the distance traveled.

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Answer:

d and a

Explanation:

The embryo's cells grow larger in size, and the embryo's cells take in water and nutrients. The correct options are A and D.

The two processes that occur when the sea urchin embryo matures, according to the information presented, are:

The embryo's cells grow in size: During the embryo's growth and development, individual cells divide and grow in size, contributing to the organism's total growth.

The embryo's cells actively take in water and nutrients from the surrounding environment: As the embryo grows, its cells actively take in water and nutrients from the surrounding environment to support metabolic processes and offer the essential resources for growth and development.

Thus, choices A and D represent the proper processes that occur while the sea urchin embryo develops.

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When rising from a chair or getting up from the floor, the human body moves primarily in the sagittal plane around the mediolateral axis. The plane of motion are different types like Transverse Plane, Frontal Plane and Sagittal Plane.The movement primarily occurs along the mediolateral axis, which runs from side to side.

The human body moves in three planes of motion: sagittal, frontal, and transverse. The sagittal plane divides the body into left and right halves, the frontal plane divides it into front and back halves, and the transverse plane divides it into upper and lower halves.

When rising from a chair or getting up from the floor, the predominant movement occurs in the sagittal plane. This is because the main action involves flexing the hip and knee joints to lift the body upward. The movement primarily occurs along the mediolateral axis, which runs from side to side.


To summarize, when rising from a chair or getting up from the floor, the human body moves in the sagittal plane around the mediolateral axis. This movement involves flexing the hip and knee joints to lift the body upward.
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Therefore, 75.2 kcal is equivalent to 314,316.8 J or 314.32 kJ. Therefore, 1.41 kcal is equivalent to 5,891.44 J or 5.891 kJ.

Joule is the unit of energy in the International System of Units (SI). It is named after James Prescott Joule, a British physicist who made important contributions to the study of thermodynamics. One joule (J) is defined as the amount of energy transferred when a force of one newton is applied over a distance of one meter in the direction of the force. In other words, it is the energy required to perform work of one newton-meter (N·m). Joules are commonly used to measure a variety of energy-related quantities, such as mechanical work, heat, and electromagnetic radiation. For example, the energy consumed by an electrical appliance is measured in joules, and the amount of heat absorbed or released during a chemical reaction is also measured in joules.

Here,

a. To convert 75.2 kcal to joules, we can use the conversion factor 1 kcal = 4,184 J:

75.2 kcal x 4,184 J/kcal = 314,316.8 J

To convert this to kilojoules, we divide by 1000:

314,316.8 J ÷ 1000 = 314.32 kJ

Therefore, 75.2 kcal is equivalent to 314,316.8 J or 314.32 kJ.

b. To convert 75.2 cal to joules, we can use the conversion factor 1 cal = 4.184 J:

75.2 cal x 4.184 J/cal = 314.6368 J

To convert this to kilojoules, we divide by 1000:

314.6368 J ÷ 1000 = 0.3146 kJ

Therefore, 75.2 cal is equivalent to 314.6368 J or 0.3146 kJ.

c. To convert 1.41 × 10³ cal to joules, we can use the conversion factor 1 cal = 4.184 J:

1.41 × 10³ cal x 4.184 J/cal = 5,903.24 J

To convert this to kilojoules, we divide by 1000:

5,903.24 J ÷ 1000 = 5.903 kJ

Therefore, 1.41 × 10³ cal is equivalent to 5,903.24 J or 5.903 kJ.

d. To convert 1.41 kcal to joules, we can use the conversion factor 1 kcal = 4,184 J:

1.41 kcal x 4,184 J/kcal = 5,891.44 J

To convert this to kilojoules, we divide by 1000:

5,891.44 J ÷ 1000 = 5.891 kJ

Therefore, 1.41 kcal is equivalent to 5,891.44 J or 5.891 kJ.

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Answer:

A blood transfusion is the process of transferring blood or one of its components from one person to another.

Answer:

If you threw a baseball at the speed of light, the ball would move 299,792,458 kilometers per second. Unlike light, a baseball has mass as it approaches the speed of light, its mass would increase towards infinity. As nothing can go faster than the speed of light, it is known as the speed limit of the universe.

Explanation:

The density of a substance that can be raised to a column height of 12.3 cm under vacuum by atmospheric pressure is 8.4 × 10⁴ kg/m³.

Density is a measure of how much "stuff" is in a given space. For instance, a block of the heavy element lead (Pb) is denser than the softer, lighter element gold (Au). Styrofoam blocks are less dense than bricks. Defined as mass per unit volume. You can imagine how tightly packed the substance is, how loosely packed, or how compact it is. Solids are generally denser than liquids, and liquids are denser than gases, but there are many exceptions.

It is a physical property defined by mass to volume. Physical properties can be observed without altering the chemical composition of matter. Other physical properties include melting and boiling points. Each substance, element, and compound has a unique density associated with it.

P = ρ × g × h

ρ = P/(g × h)

Where, ρ = Density of the substance

P = Atmospheric pressure (101,325 pa)

g = Gravitational constant (9.8 m/s)

h = Height of the column of substance (12.3 cm)

Now, substitute the values:

ρ = 101,325/(9.8 × 12.3)

ρ = 101,325/120.54

ρ = 83974 kg/m³

ρ ≈ 84000 kg/m³

ρ ≈ 8.4 × 10⁴ kg/m³

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Answer:

5 sq. root 3

Explanation:

theta= 60°

=> u sin theta = 10 × sin 60

= 10× sq. root 3/2

= 5 sq. root 3

we have that from the Question"A projectile is launched at an angle of 60 degrees to the horizontal at an initial speed of 10 meters per second" it can be said that  

the magnitude of the vertical component of its initial velocity is

From the Question we are told

A projectile is launched at an angle of 60 degrees to the horizontal at an initial speed of 10 meters per second. What is the magnitude of the vertical component of its initial velocity?

Generally the equation for  vertical component is mathematically given as

The  vertical component will be the resolution of the vertical axis

Therefore

Fy=10sin60

Fy=8.660N

Therefore

the magnitude of the vertical component of its initial velocity is

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At equilibrium, a si pn junction is formed with n’_d = 5 × 10¹⁵ cm⁻³ in the n-type region and n’_a = 2 × 10¹⁷ cm⁻³ in the p-type region.

The n-type region has a higher concentration of electrons compared to the p-type region which has a higher concentration of holes. As a result, electrons diffuse from the n-type region to the p-type region while holes diffuse from the p-type region to the n-type region.

This diffusion creates a depletion region near the junction where there are no free carriers. The width of the depletion region depends on the doping concentration and the magnitude of the applied bias voltage. When a forward bias is applied, the width of the depletion region decreases and the junction conducts current. When a reverse bias is applied, the width of the depletion region increases and the junction does not conduct current.

The si pn junction is an essential component in electronic devices such as diodes, solar cells, and transistors.

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Answer:

Scientists are developing techniques to detect signatures from space in their search for alien life.

The Very Large Array (VLA) telescope, at the National Radio Astronomy Observatory (NARO) site in Socorro, New Mexico, will be used to constantly seek evidence of technosignatures.

Hope this helps

Main answer: The tension in the rope is 59 N.

The tension in the rope can be determined using Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the mass of the object is 5 kg and the acceleration is 2 m/s². Plugging these values into the equation, we have:

Net force = mass × acceleration

Tension - weight = mass × acceleration

The weight of the object can be calculated using the formula weight = mass × gravitational acceleration, where the gravitational acceleration on Earth is approximately 9.8 m/s². Therefore, the weight of the object is:

Weight = mass × gravitational acceleration

Weight = 5 kg × 9.8 m/s²

Weight = 49 N

Substituting the weight value into the previous equation, we can solve for the tension:

Tension - 49 N = 5 kg × 2 m/s²

Tension - 49 N = 10 N

Tension = 10 N + 49 N

Tension = 59 N

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The braking force needed to bring the car to a halt in 2.0 seconds, given that the car has amass of 1100 Kg and was moving at 24 m/s is -13200 N

We'll begin our calculation by obtaining the deceleration of the car. This is shown below:

a = (v - u) / t

a = (0 - 24) / 2

a = -24 / 2

a = -12 m/s²

Haven obtained the deceleration, we shall determine the breaking force needed to halt the car. Details below:

Force = mass × deceleration

Breaking force = 1100 × -12

Breaking force = -13200 N

Thus, the breaking force needed to stop the car is -13200 N

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Answer:

1. 59 Ω

2. 3 Ω

3. 0.625 kΩ

Explanation:

1. The total resistance in a series circuit is equal to the sum of the resistance.

\(R_T=R_1+R_2+R_3...\\R_T=20+19+20\\R_T=59\)

Therefore, the total resistance in the first circuit is 59 Ω.

2. The total resistance in a parallel circuit is equal to the sum of the reciprocals of the resistance.

\(\frac{1}{R_T} = \frac{1}{R_1} +\frac{1}{R_2} +\frac{1}{R_3} ...\\\frac{1}{R_T} = \frac{1}{6.0} +\frac{1}{12} +\frac{1}{36}+\frac{1}{18} \\\frac{1}{R_T} = \frac{1}{3} \\R_T=3\)

Therefore, the total resistance in the second circuit is 3 Ω.

3. This is another parallel circuit, so we use the same equation from above:

\(\frac{1}{R_T} = \frac{1}{R_1} +\frac{1}{R_2} +\frac{1}{R_3} ...\\\frac{1}{R_T} = \frac{1}{10} +\frac{1}{2} +\frac{1}{1} ...\\\frac{1}{R_T} =1.6\\R_T=\frac{1}{1.6}\)

Therefore, the total resistance in the third circuit is \(\frac{1}{1.6}\) kΩ, or 0.625 kΩ.

I hope this helps!

A fixed system of charges exerts a force of magnitude that is proportional to the product of the charges' magnitudes and inversely proportional to the square of the distance between them. This force is known as the Coulomb force.

The force that a fixed system of charges exerts on another fixed system of charges is known as the Coulomb force, which is described by Coulomb's law, which is expressed as F = kq₁q₂/r², where F is the force, k is Coulomb's constant (9.0 x 10⁹ Nm²/C²), q₁ and q₂ are the two point charges, and r is the distance between them. This force is inversely proportional to the square of the distance between the charges, and it is proportional to the product of the charges' magnitudes.

Two point charges exert a force of 9.0 x 10⁹ N on one another. The charges have opposite signs, which indicates that they are of opposite polarity. The force between two point charges is described by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

Coulomb's law states that two charged objects will experience an electrical force between them proportional to the quantity of electric charge on each object and inversely proportional to the distance between them. The forces that two point charges exert on one another are proportional to the product of their magnitudes, and the magnitude of this force is also proportional to the inverse square of the distance between them.

Coulomb's law can be used to explain the behavior of electrostatic forces in situations where there are two or more charges present. The force on a charged particle due to other charged particles is simply the vector sum of the forces exerted by each individual charge on that particle.

In conclusion, a fixed system of charges exerts a force of magnitude that is proportional to the product of the charges' magnitudes and inversely proportional to the square of the distance between them. This force is known as the Coulomb force, and it is described by Coulomb's law. Coulomb's law is used to describe the behavior of electrostatic forces in situations where there are two or more charges present.

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Answer:

The object will likely start moving with a nonzero acceleration.

The type of play that is NOT identified by Mildred Parten is cooperative play. Option 4.

Parten identified four types of play, which are solitary play, onlooker play, parallel play, and associative play. Solitary play involves a child playing alone, while onlooker play involves a child observing other children playing without actively participating. Parallel play is when children play next to each other but do not engage with each other. Associative play involves children playing together but without a common goal or organized activity. Cooperative play, on the other hand, involves children working together towards a common goal and is often seen in team sports or group projects. Answer option 4.

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Answer:

4.71m/s

Explanation:

Average speed = Total distance travelled ÷ Total time taken.

80/17=4.71

4.71m/s

Answer:

In this question,

                                                = 80m.

                                     = 17s

So, Average speed would be 80 ÷ 17

= \(\frac{80}{17}\)

 = 4.71 m/s. or 4.71 meter per second.

To find the kinetic energy of the solid cylinder with a radius of 10 cm, mass of 3.0 kg, and angular speed of 3.5 rad/s, you'll need to use the formula for kinetic energy and the given moment of inertia formula (I=½MR^2).


1. Convert the radius to meters: 10 cm = 0.1 m
2. Calculate the moment of inertia (I) using the formula I=½MR^2:
  I = 0.5 × 3.0 kg × (0.1 m)^2
  I = 1.5 kg × 0.01 m^2
  I = 0.015 kg m^2
3. Calculate the kinetic energy using the formula KE = 0.5 × I × ω^2:
  KE = 0.5 × 0.015 kg m^2 × (3.5 rad/s)^2
  KE = 0.0075 kg m^2 × 12.25 rad^2/s^2
  KE = 0.091875 J

So, the kinetic energy of the solid cylinder is approximately 0.091875 Joules.

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The acceleration of the beach ball would be 60 m/s² when the same force acts on it.

Given: Mass of soccer ball, m = 2.5kg

Acceleration of soccer ball, a = 1.2 m/s²

Mass of a beach ball, m1 = 0.05 kg

To find:

Acceleration of beach ball, a1

Formula:F = ma (Newton's second law of motion)

Acceleration of the beach ball will be: Substitute the given values in the above equation:

F = ma => a = F/m … equation (1)

Let's use equation (1) to find the acceleration of the beach ball;

F = ma, here F is the same force acting on the beach ball and soccer ball

a1 = F/m1 = F/0.05 kg

Now, let's find the force F using the relation between acceleration, mass, and force of the soccer ball.

F = ma= 2.5 kg x 1.2 m/s²= 3 N

Putting the value of F in the above equation: F = ma => a1 = F/m1= 3 N / 0.05 kg= 60 m/s²

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Answer:

lCdfKFBWRblNLWFNJLBe

Explanation:

jk jk Refraction is an effect that occurs when a light wave, incident at an angle away from the normal, passes a boundary from one medium into another in which there is a change in velocity of the light

Measurement tools improve the quality and quantity of our lives by making them easier and safer. The ability to precisely quantify physical qualities has arguably enormous survival value, providing humans with an adaptive, evolutionary advantage refined over thousands of years of natural selection.

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Answer:

2.27 m/s²

Explanation:

Recall that one of the equations of motion can be expressed as

v² = u² + 2as

where

v = final velocity = takeoff speed = 33m/s

u = initial velocity = rest = 0 m/s

a = acceleration ( we are asked to find this)

s = distance traveled = length of takeoff run = 240m

substituting the known values into the equation above,

v² = u² + 2as

33² = 0² + 2a(240)

1089= 480a

a = 1089/480

a = 2.27 m/s²

ANSWER

2.27 m/s^2

EXPLANATION

We can use the general relationship from kinematics:

vf^2 = vi^2 + 2as

where:

s = distance;

a = acceleration;

vi = 0m/s is the initial velocity;

vf=33ms is the final velocity.

So:

33^2 = 0^2 + 2 ⋅ a ⋅ 240

a= 1089/480

= 2.27m/s^2