Problem-1 A gelatin block with mass 1.00kg is sitting at rest on top of a horizontal surface. The
coefficient of kinetic friction between the block and the surface is 0.70.
A small steel ball with mass 10.9g is moving horizontally directly at the center of the block with a speed
of 853m/s. The ball then collides with the block and gets stuck inside of it.
(a) Assuming that the block stays in one piece, how much of the initial kinetic energy of the ball was
converted into overall (heat + light + sound + material distortions) energy during the collision?
KE = 1/2
KE=
- lov
ми
2
10-9x 853
bo
= 3.9655X 10

The Hubble time for a Hubble constant of 100 km/s.Mpc would be equal to 10  billion years.

Hubble’s law can be described as the velocity of the galaxy, which is called the redshift, is directly proportional to its distance.

Hubble time can be described as the age taken by the universe to expand if the expansion was linear. Hubble time is dependent on the dimensionless factor, mass, and energy of the universe.

Hubble time for the Hubble constant is given as follows:

[tex]{\displaystyle t_H =\frac{1}{H_o}[/tex]

Given the Hubble constant, H₀ = 100 Km/s.Mpc

[tex]{\displaystyle t_H =\frac{1}{H_o} =\frac{1}{100}\times 3.16 \times 10^{19}[/tex]

[tex]{\displaystyle t_H =3.16 \times 10^{17}s[/tex]

[tex]{\displaystyle t_H =\frac{3.16 \times 10^{17}s}{3.16\times 10^{7}}[/tex]

[tex]{\displaystyle t_H = 10^{10}\;years[/tex]

[tex]{\displaystyle t_H = 10 \; billoin \; years[/tex]

Therefore, the Hubble time for a Hubble constant of 100 km/s Mpc is 10 billion years.

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(i) The pressure due to 25m of water is 250,000 Pa.

(ii) The atmospheric pressure is 100,000 Pa.

Pressure can be defined as the force per unit area of an object.

Mathematically, the formula for pressure of an object is derived as;

P = F/A

where;

P = (mg) / (V/h)

P = (mgh) / V

P = (m/V)gh

where;

Density of an object or a substance is known as mass per unit volume of the substance.

P = (ρ)gh

where;

The pressure due to 25m of water is calculated as follows;

pressure = (ρ)gh

pressure = 1000 kg/m³   x   10 N/kg    x    25 m
pressure = 250,000 Pa

The atmospheric pressure is calculated as;

P(atm) = P(total) - P(water)

P(atm) = 350,000 Pa  -  250,000 Pa

P(atm) = 100,000 Pa

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The point where the mass have the most kinetic energy is point zero (0).

option C is the correct answer.

The kinetic energy of an object is the energy possessed by the object due to its motion.

Mathematically, the formula for kinetic energy of an object is given as;

K.E = ¹/₂mv²

where;

In a simple harmonic motion, the kinetic energy of the object increases as the speed of the object increases.

At maximum displacement of an object under going simple harmonic motion, the potential energy of the object is maximum while the kinetic energy is zero.

At minimum displacement or half of the maximum displacement, the kinetic energy of the object is maximum while the potential energy of the object is zero.

(-5)-------------------0-----------------------(+5)

Kinetic energy energy of the object at the various positions;

Thus, option C is the correct answer because position zero (0) is the half or center of the two maximum displacement positions.

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The setup time of a clocked flip-flop is:

The minimum amount of time that an output must remain stable before an active clock transition.

A flip-flop is a device that can hold a single bit of data (a binary digit); one of its two states corresponds to a "one," and the other to a "zero." Such data storage can be used to store state, and in electronics, such a circuit is known as sequential logic.

The output state changes of a timed flip-flop can be synced to a clock pulse thanks to an additional input.

Data must be at a valid logic level at setup time (tS), which is defined as the time before the DAC clock shift.

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The intensity of the pattern is measured, and a plot of intensity versus position is A) - 40 cm , + 40 cm , - 10 cm , 0.0 cm , + 30 cm , - 30 cm

A) - 40 cm , + 40 cm , - 10 cm , 0.0 cm , + 30 cm , - 30 cm

B) - 5cm, +5cm, -15cm, +15cm, -25cm, +25cm, -35cm, +35cm, -45cm, + 45cm

C) 0.0 cm

D) -40 cm, + 40cm

E) -25cm, + 25cm.

Intensity is the amount of energy a wave transports in one unit of area per unit of time and is also equal to the energy density multiplied by the wave velocity. Usually measured in watts per square meter. Intensity depends on wave strength and amplitude.

Wave strength is defined as the speed at which a wave transfers energy divided by the area over which the energy travels. In other words, intensity is the rate of energy flow per unit area. The term intensity is used to describe the speed at which light travels across a given area of ​​the surface at some distance from the light source.

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While walking down Madison Avenue, Thomas smelled smoke. Soon, Thomas saw flames leaping out of a third story apartment window. In a flash, Thomas saw another man run into the burning building and emerge, only a minute later, with a young girl in his arms. Witnessing this made Thomas feel hopeful about humans and our ability to help each other. Thomas felt the diffusion of responsibility

When there are additional witnesses or bystanders present, a person is less likely to accept responsibility for their actions or inaction, which is known as the "diffusion of blame" sociopsychological phenomenon.

When those who need to decide wait for someone else to take action in their place, responsibility is diffused. The more people participating, the more likely it is that no one will take action because they assume someone else in the group will probably take the initiative.

Diffusion of responsibility in the workplace can be seen, for instance, when an employee engages in offensive behavior toward another and they fail to report it because they feel it is not their place to do so.

The "bystander effect" and "diffusion of culpability" are two terms for the same psychological phenomena

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The energy of electrons of three states are 15.06 meV, 60.24 meV and 0.54 eV

Different orbits in which electrons are revolving are called energy levels or stationary states. These  energy/ stationar state levels for an electron are given as n= 1, 2, 3….. .These numbers are called the principal quantum numbers.

The energy of the levels for the electron in the box with length 5 nm is:

[tex]E_{n[/tex] = [tex]h^{2}[/tex]×[tex]n^{2}[/tex]/ 8 m [tex]L^{2}[/tex]

    =6.626×[tex]10^{-34[/tex] j[tex]s^{-1[/tex]/8 ( 9.11×[tex]10^{-31[/tex] kg )×([tex](5.10^{-9[/tex] )2 ×[tex]n^{2}[/tex]

 = 2.41 ×[tex]2.41^{-21[/tex] j [tex]n^{2}[/tex]

 = 15.06 me V[tex]n^{2}[/tex]

The energies of the first three states are:

E1 =15.06 meV

E2 = 60.24 meV

E3 = 0.54 eV

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Answer:

Time=Distance÷Speed

Time=250m(50m×5)÷5m/s

Time=50s

The speed of 1.25 ×10³ ft³/min of the airflow is equivalent to 0.56 m³/s.

The speed of a moving body can be defined as a measurement of how quickly the distance a body traveled changes with time. Speed is defined as a scalar parameter as it exhibits magnitude but no direction.

A body that travels faster and with high speed, can travel a lot of ground in a lesser time.

Given, the speed of the airflow of the fan = 1.25 ×10³ ft³/min

We have to express the  ft³/min  into  m³/s:

We know that 1 foot = 0.3 m  and 1 min = 60 s

1.25 ×10³ ft³/min  = 1.25 ×10³ (0.3 m)³/ 60 s

1.25 ×10³ ft³/min  = 0.56 × 10³ ×10⁻³ m³/s

1.25 ×10³ ft³/min  = 0.56 m³/s

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The x-component of the velocity of the bowling ball at the instant before it strikes the ground is 12 m/s.

The horizontal velocity of a projectile motion is the velocity of the projectile along the horizontal axis or x component of the velocity.

During a projectile motion, the vertical velocity of the projectile decreases as the projectile moves upwards and eventually becomes zero as the object reaches the maximum height. The vertical velocity also increases as the projectile moves downward and becomes maximum before the projectile hits the ground.

However, the horizontal velocity of a projectile remains constant since horizontal motion is not affected by gravity. This means that the initial horizontal velocity is equal to final horizontal velocity.

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The potential of the athletes gravitational potential energy during running up a hill increases by 245000 Joules.

The energy that an object stores as a function of its height or vertical position is known as gravitational potential energy. Because of the Earth's gravitational pull on the object, the energy is stored.

The relationship between mass, gravity, and change in height is defined mathematically. The formula is used to calculate it is:

PE = m × g × h

Here, it is given that-

The mass of the athlete = 50 Kg

The Initial height, h1 = 400 m

The final height, h2 = 900 m

Firstly, gravitational potential energy is calculated when athlete is at a height of h1 that is 400 m. On the putting the given values in the formula-

PE1 = 50 × 9.8 × 400

PE1 = 196000 Joules

Next, we will calculate the gravitational potential energy when athlete is at a height of h2 that is 900 m. By putting the values in the formula, we get-

PE2 = 50 × 9.8 × 900

PE2 = 441000 Joules

Now, to calculate the increase in gravitational potential energy when athlete runs up a hill from a height of 400m to 900m we can subtract the potential energies-

Potential by which athlete's gravitational potential energy increases = PE2 - PE1 = 441000 - 196000 = 245000 Joules or 245 kilo joules

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The complete question is:

An athlete with a mass of 50 kg runs up a hill. The foot of the hill is 400 m above sea level and the summit is 900 m above sea level. Calculate by how much the athlete's gravitational potential energy increases.

While running up a hill, an athlete's gravitational potential energy increases by 245,000 joules.

How much energy does gravity potentially hold?

Gravitational potential energy is the amount of energy an object may hold depending on its height or vertical position. The energy is trapped by the gravitational pull of the Earth on the object.

Mathematical formulas are used to define the relationship between mass, gravity, and height change. It is calculated using the following formula:

PE = m × g × h

It is said here that-

The athlete weighs 50 kg.

Initial height, 400 m (h1)

H2 = 900 metres is the final height.

First, the athlete's gravitational potential energy is determined when they are 400 metres above the ground (h1). Upon entering the specified values into the formula:

PE1 = 50 × 9.8 × 400

196000 Joules for PE1.

The gravitational potential energy for an athlete at a height of h2 of 900 m will then be determined. When we enter the values into the formula, we obtain:

PE2 = 50 × 9.8 × 900

PE2 equals 441,000 Joules

Now, we can subtract the potential energies to determine the increase in gravitational potential energy that occurs when an athlete sprints up a hill from a height of 400 to 900 metres.

PE2 - PE1 = 441000 - 196000 = 245000 Joules, or 245 kilojoules, is the potential by which an athlete's gravitational potential energy increases.

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An insulated vessel containing a quantity of hot water at temperature T₁  mixed with different amounts of cold water at temperature T₂, After equilibrium is established the vessel contains water at a mixture temperature between T₁ and T₂.

Thermal equilibrium is a state reached by two (or more) systems characterized by limited coordinate values of the systems after the systems interact with each other through the diathermic wall.

When hot water and cold water are mixed, heat will flow from hot water (higher temperature) to cold water (lower temperature). In other words, hot water "gives" heat to cold water or cold water "receives" heat from hot water.

The direction of heat transfer is from an object or place with a higher temperature to a place with a lower temperature. Temperature transfer occurs until temperature equality is achieved between the two objects.

Hot water has a higher temperature than cold water, so heat moves from hot water which provides heat, to cold water which absorbs heat.

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In the circuit below, the resistors are connected in the series combination and the battery is parallel to the resistor.

Circuit is defined as a closed circuit or route that connects electrical parts and permits the movement of electrons.  The term "circuit" can broadly be used to describe any ongoing path via which electricity, data, or a signal might go.

The current flowing through each resistor when two resistors are linked in series is the same. The two resistors divide the voltage from the battery. More resistors in a series circuit increase total resistance, which reduces current.

Thus, in the circuit below, the resistors are connected in the series combination and the battery is parallel to the resistor.

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Answer:

Weight = Mass × Gravity ( = Weight )

Explanation:

I'm not really sure why it says = W two times but anyways:

W is used to represent the weight of something

M is used to represent the mass of something

G is used to represent gravity ( in simple terms )

G more specifically means gravitational acceleration

Note: W can also mean watt but in this case it means weight

:)

When a net force of 140 Newton's is applied to a wagon for 10 seconds, this causes the wagon to undergo a change of momentum of  1400 Newton-second.

momentum is the product of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.

Given that:

Net force acting on the wagon: F = 140 Newton.

Time duration: t = 10 seconds.

According to Isaac Newton's second equation of motion:

Force acting on the wagon = change in momentum/time duration

⇒ Change in momentum =  Force acting on the wagon × time duration

= 140 × 10 Newton-second.

= 1400 Newton-second.

Hence, The wagon  undergoes a change of momentum of 1400 Newton-second.

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The statement that best describes the process that happens when water evaporates from a lake is as follows: As water evaporates from a lake, it becomes a gas that spreads throughout the air. This gas sometimes cools as it rises, condenses, and helps form clouds (option A).

Evaporation is the process in which all or a portion of liquid (in a container) is turned into vapour, in order to increase the concentration of solid matter in the mixture.

Evaporation is the process that changes liquid water to gaseous water (water vapor). Water moves from the Earth's surface to the atmosphere via evaporation.

Evaporation occurs when energy (heat) forces the bonds that hold water molecules together to break. Condensation is the direct opposite of evaporation and is the process whereby water vapor (gas) turns back into liquid water.

Condensation occurs when saturated air is cooled, such as on the outside of a glass of ice water. Therefore, option A is what occurs when evaporation occurs in a lake.

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Hello,

I hope you and your family are doing well!

The weight of an object is the force exerted on the object due to gravity, and it is calculated as the mass of the object multiplied by the acceleration due to gravity. In this case, we are given that the weight of a 1 kg mass is 10 N at a certain place, which means that the acceleration due to gravity at that place is 10 N/kg.

If we want to find the weight of a 100 g mass at that place, we can use the same equation:

Weight = Mass * Acceleration due to gravity

In this case, the mass is 100 g, which is equivalent to 0.1 kg. Therefore, the weight of the 100 g mass is:

Weight = (0.1 kg) * (10 N/kg)

= 1 N

Thus, the weight of a 100 g mass at the given place is 1 N.

--

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The effective current flowing through the coil is 53.1°.

Current is the rate of flow of electrons in a conductor. Current, any movement of charge carriers. B. Subatomic charged particles (z is understood to be a positive particle).

Current in a wire where the charge carriers are electrons is a measure of the amount of charge that passes through any point on the wire per unit time. In alternating current, the charge movement is periodically reversed. Not so with direct current. The direction of current flow in electrical circuits is often taken to be the direction of positive charge flow, which is opposite to the actual electron drift. A current defined in this way is called a conventional current.

As per the question the

Inductance =0.1H

Series of placed across=200v

AC=50HZ

We have to find the current in the circuit and phase angle between current and voltage.

XL=WL

= 2×3×50×0.1

XL= 30 ohm

Z= √R²+(Xc-Xl)²

√(12)²+(30-14)² = 20

(i) l=Eu/z

=200/20

=10 A

Tan = 30-14/2

Tan = 1.33

= Tan⁻¹(1.33)

=53.1° C

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Answer:4.ENERGY IS NOT ORIGINALLY FROM THE SUN

Explanation: GEO -EARTH,THERMAL-HEAT

Geothermal energy is heat that is generated within the earth .it is a renewable resource. most of the earths geothermal energy does not bubbl e out as water or stream.

The change in its gravitational potential energy is -mgh and Gravitational potential energy depends on the reference level.

The gravitational force is of course vertically downwards F = mg . To raise a mass m, we must apply an upward force −F, balancing gravity, so the net force on the body is zero and it can move upwards at a steady speed (ignoring air resistance, of course, and assuming we gave it a tiny extra push to get it going).

Applying the steady force −F as the mass moves a small distance takes work − F.Δr , and to raise the mass m through a height h takes work mgh. This energy is stored and then, when the object falls, released as kinetic energy. For this reason it is called potential energy, being “potential kinetic energy”.

That depends on how far we will allow the raised object to fall and convert its potential energy to kinetic energy—but the main point is it doesn’t matter where the zero is set, the quantity of physical interest is always a difference of potential energies between two heights—that’s how much kinetic energy is released when it falls from one height to the other.

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Answer:

Explanation:

Given:

F₁ = 1400 N

D₁ = 9.1 m

η = 68%;    η = 0.68

F₂ 110 N

__________

D₂ - ?

If the pulley system is 100% efficient:

D₂'  = F₁·D₁  / F₂ = 1400·9.1 / 110 ≈ 115.8 m

If the pulley system has the code 68% :

D₂ = D₂' / η = 115.8 / 0.68 ≈ 170 m

Answer: Negative

Explanation: The acceleration along the y-axis for any projectile motion will always be -9.8m/s^2.

Answer: how long it took.

Explanation: i know nothing is really instant, but its ridiculous that it took over 1.6 million years for the temperature to drop to a thousand degrees after the big bang expansion. and then even after that, it took millions of years to make the first one. regardless, it is still incredible.

Answer

due to balanced forces, an object in motion cannot change its direction or speed, and also the net forces act a zero in balanced forces.

Explanation:

Unbalanced forces have a change in motion and they have a resultant force in a direction. Whereas, a balanced force does not change in direction and the resultant force is zero.

Force is an external agent acting on  a body to make it changed in its state of motion or rest or to deform it. There are various kinds of forces such as magnetic force, nuclear force, gravitational force, frictional force etc.

If there are two or more forces acting on a body from the same direction, then the net force will be the sum of all the forces. If the two forces are equal in magnitude and if act from the opposite directions they will cancel each other and will not make a displacement. Such forces are called balanced forces.

The imbalance in force on a body is made by the change in direction or in magnitude of the forces. Then there will be a net force and will make the body a change in its motion.

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The acceleration due to gravity is the acceleration gained by an object due to gravitational force.

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. Its vector nature which includes both magnitude and direction makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s².

The distance a body's entire mass can be concentrated without changing its moment of rotational inertia about an axis through its center of mass is known as the radius of gyration.

Note that your information was incomplete and an overview was given.

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1) Babies with congenital heart disease and congestive heart failure tend to tire very quickly, making breastfeeding difficult. It is represented by the suck, rest, suck cycle, which is equivalent to dyspnea on exertion in adults. Since the baby cannot suck for a long time and is very tired for some time after sucking, the feeding is not maintained well and the baby does not gain weight and manifests as stunted growth. To do so, you need to feed your child more often. The nurse tells the patient to breastfeed more often, usually every two hours. This ensures that the child is well fed and also allows the child to wake her up every two hours to breastfeed at night. Bottle feeding is done in a similar way.

Breastfeeding is usually 8-12 times a day, and if the child has at least 6-8 wet diapers and is consistently gaining weight, breast milk or bottle feeding should be sufficient. can be assumed to exist.

Do not breastfeed for a long time at a time as this will tire your baby.

When using formula foods, high calorie foods should be used so that children can get more energy with less effort.

2) frequent negative responses.

A 2 year old child usually demands too often for  things and they want what they want when they want .

It's also an age when they understand themselves as different individuals. They become less dependent more emotionally labile and  may give frequent negative responses.

3) I should limit the use of fingers of broken arm .

Broken arms are splinted so that they get adequate rest to to heal the fracture and wound.

The use of the particular arm have to be reduced.

It is usuall to have a mild swelling of the fingers for initial some days but it should not last for longer.

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Answer:6.897m/s

Explanation: velocity is the change of distance with time in a specified direction.

therefore to find velocity divide distance given by Time

V=distance/time

  =400m/58s

  =6.897m/s

The penetration coefficient of ultrasonic waves be non-dimensional quantity. So, this has no unit.

The depth to which light or any other electromagnetic radiation may permeate a material is known as the penetration depth. It is defined as the depth at which the radiation's internal intensity reaches 1/e (or, more precisely, just below) its initial value at (or just below) the surface.

The atoms and electrons inside the substance interact with this electromagnetic field. The electromagnetic field may penetrate a material very deeply or may disappear very fast, depending on the nature of the material. The depth of penetration for a given substance is typically a function of wavelength. So, the penetration coefficient of ultrasonic waves: non-dimensional quantity. So, this has no unit.

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The applied force on the block sliding on the frictionless inclined plane is 1.9 N.

Friction is the force that opposes the sliding or rolling motion of one body relative to another. For example, when you want to stop or slow down, you use your car's brakes because the friction created between the brakes and the wheels slows down or stops the car.

The unevenness of the two contact surfaces creates friction. When an object rides on another object, the surface irregularities become entangled and friction occurs. The rougher the surface, the more irregularities there are, and the greater the friction.

Equation of motion along an inclined plane:

Fₙ = (m×g×sinθ) - (m×a)

Where, Fₙ = applied force

m = mass of the block (2.0 kg)

g = gravitational acceleration (9.8 m/s²)

a = acceleration (1.5 m/s²)

θ = inclination of plane (15°)

Fₙ = (2 × 9.8 × sin15) - (2 × 1.5)

Fₙ = (19.6 × 0.25) - 3

Fₙ = 4.9 - 3

Fₙ = 1.9 N

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