A 5.31 kg object is swung in a vertical circular path on a string 2.99 m long. The acceleration of gravity is 9.8 m/s 2 . If the speed at the top of the circle is 6.2 m/s, what is the tension in the string when the object is at the top of the circle

Answer:

The difference between (a) and (b) is the deviation caused by the actual pulley not being a perfect solid disk. In (a), we took into account the additional frictional torque and calculated the more accurate moment of inertia. In (b), we made a rough estimate assuming the pulley to be a solid disk, which disregards factors such as the mass distribution and the presence of the axle. The difference between the two values is the deviation caused by these factors.

Answer:

312.5 ft

Explanation:

x = xo + vo t + 1/2 a t^2        xo = 0         v0 = 0

x = 1/2 a t^2 = 1/2 (25)(5^2) = 312.5 ft

Answer:

C. The poster provides an emotional picture of a young, innocent girl with a slightly worried expression to make protective feelings.

Explanation:

The girl looks quite worried in the poster. Attached is the image:

Answer:

201.5537 mph

Explanation:

Given the following data;

Speed = 90.1 m/s

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the formula;

Speed = distance/time

To convert this value into miles per hour;

Conversion;

1 meter = 0.000621 mile

90.1 meters = 90.1 * 0.000621 = 0.05595 miles

1 metre per second = 2.237 miles per hour

90.1 meters per seconds = 90.1 * 2.237 = 201.5537 miles per hour

90.1 m/s = 201.5537 mph

The acceleration of the block is 4.9 m/s².

The acceleration of the block is calculated by applying Newton's second law of motion as shown below.

Ff = ma

μmg = ma

μg = a

where;

The given parameters include;

the mass of the block, m = 40 kg

the coefficient of friction = 0.5

acceleration due to gravity = 9.8 m/s²

The acceleration of the block is calculated as follows;

a = μg

a = 0.5 x 9.8 m/s²

a = 4.9 m/s²

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Answer:

\(v_{B} = \frac{m_{A}v_{A}}{m_{B}}\)

Explanation:

We can apply the law of conservation of momentum on the nucleus in its initial and final state of nucleus:

Initial Momentum = Final Momentum

momentum of nucleus before bursting = momentum of piece A + momentum of Piece B

\((m_{nucleus})(velocity of nucleus) = m_{A}v_{A} + m_{B}v_{B}\\\)

since, nucleus was initially at rest. Therefore,

velocity of nucleus = 0 m/s

and due to opposite direction of forces:

Vb = - Vb

Therefore,

\((m_{nucleus})(0) = m_{A}v_{A} - m_{B}v_{B}\\\\m_{A}v_{A} = m_{B}v_{B}\\\\v_{B} = \frac{m_{A}v_{A}}{m_{B}}\)

Answer:

i need help with the same question

Explanation:

The speed of the roller coaster at the bottom of the hill if the track was frictionless is 34.04 m/s.

Given that the weight of the roller coaster is 2000 kg and the initial vertical drop of the ride is 59.3 m. We are to find the speed of the roller coaster at the bottom of the hill if the track was frictionless.We know that the roller coaster will lose potential energy due to the vertical drop. Assuming there is no friction, the potential energy will be converted into kinetic energy at the bottom of the hill.Considering the conservation of energy between the potential and kinetic energy, we can set the initial potential energy equal to the final kinetic energy. We can use the formula to calculate potential energy, which is PE = mgh where m = 2000 kg, g = 9.8 m/s², and h = 59.3 m. Therefore,PE = 2000 kg × 9.8 m/s² × 59.3 m = 1,157,924 JWe can use the formula to calculate kinetic energy, which is KE = 1/2mv² where m = 2000 kg and v is the final velocity. Therefore,KE = 1/2 × 2000 kg × v².The total energy remains constant as we know there is no friction. Therefore the final kinetic energy will be equal to the initial potential energy,1,157,924 J = 1/2 × 2000 kg × v²v² = (2 × 1,157,924 J) / 2000 kgv² = 1157.924v = √1157.924v = 34.04 m/s.

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The maximum potential energy of the system is equal to Kmax, so the answer is 2.16 J

The maximum potential energy of a simple harmonic motion system is equal to the maximum kinetic energy, and they are both equal to half of the maximum total energy of the system.

We will first find the maximum total energy of the system.

we can see that the amplitude of the motion is approximately 0.4 m and the period is approximately 2.4 s.

The angular frequency of the motion :

ω = 2π/T

ω = 2π/2.4

ω = 5π/6 rad/s

The maximum kinetic energy of the system :

Kmax = (1/2)mv²max

vmax is approximately 1.2 m/s.

Kmax = (1/2)(2+1)(1.2)² = 2.16 J

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The tension in the strings are 31.47 and 19.25 N respectively.

Mass of the block, m = 3 kg

From the figure, consider the vertical components,

T₁ sin45° + T₂ sin30° = mg

(T₁/√2) + (T₂/2) = 3 x 9.8 = 29.4

Also, consider the horizontal components,

T₁ cos45° = T₂ cos30°

T₁/√2 = T₂ x√3/2

T₁ = T₂ x √3/2 x √2

So,

T₁ = 0.612T₂

Applying in the first equation,

(T₁/√2) + (T₂/2) = 29.4

(0.612T₂/1.414) + 0.5T₂ = 29.4

0.434 T₂ + 0.5 T₂ = 29.4

0.934 T₂ = 29.4

Therefore, the tension,

T₂ = 29.4/0.934

T₂ = 31.47 N

So, the tension,

T₁ = 0.612 T₂

T₁ = 0.612 x 31.47

T₁ = 19.25 N

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Answer:

The atomic mass of an element is affected by the distribution of its isotopes because each isotope of an element has a different number of neutrons in the nuclei of its atoms.

Explanation:

please give me brainlyiest if its right

Answer:

1950 kpa

Explanation:

9 ÷ .6 = 15 times the speed. so 15 times the pressure 130 x15 = 1950 kpa

Explanation:

Given

The true weight of books is \(165\ N\)

Weight measured in the elevator is also \(165\ N\)

True weight=measured weight

Therefore, we can say that elevator is not accelerating

Had the lift is accelerating upwards, the measured weight would be more than the true weight.

Thus, it cannot be said with certainity that the lift is moving upward, downward, or at rest.

Answer:

The atomic number of the element in this notation is 15.

Explanation:

The X notation for an atom provides information about its atomic number and mass number. The atomic number is the number of protons in the nucleus of an atom, which determines its chemical properties and identity as an element. The mass number is the sum of the number of protons and neutrons in the nucleus.

In the notation "32 on 15 X", the number on the top (32) represents the mass number of the atom, which is the total number of protons and neutrons in the nucleus. The number on the bottom (15) represents the atomic number of the atom, which is the number of protons in the nucleus.

Therefore, the atomic number of the element in this notation is 15.

Let m be the mass of the second car, so the first car's mass is 2m.

Let K be the kinetic energy of the second car, so the first car's kinetic energy would be K/2.

Let u and v be the speeds of the first car and the second car, respectively. At the start,

• the first car has kinetic energy

K/2 = 1/2 (2m) u ² = mu ²   ==>   K = 2mu ²

• the second car starts with kinetic energy

K = 1/2 mv ²

It follows that

2mu ² = 1/2 mv ²

==>   4u ² = v ²

When their speeds are both increased by 2.76 m/s,

• the first car now has kinetic energy

1/2 (2m) (u + 2.76 m/s)² = m (u + 2.76 m/s)²

• the second car now has kinetic energy

1/2 m (v + 2.76 m/s)²

These two kinetic energies are equal, so

m (u + 2.76 m/s)² = 1/2 m (v + 2.76 m/s)²

==>   2 (u + 2.76 m/s)² = (v + 2.76 m/s)²

Solving the equations in bold gives u ≈ 1.95 m/s and v ≈ 3.90 m/s.

Part 1

Since there is no friction, there is n force opposing the downward movement of the block. The freebody diagram of the block is shown below

The force pulling the block down the ramp = mgSinθ

From the information given,

θ = 30

m = 9

g = 9.8

Thus,

Force = 9 x 9.8Sin30 = 44.1

Recall, Force = mass x acceleration

acceleration = force/mass = 44.1/9 = 4.9 m/s^2

The block accelerated to the bottom at 4.9 m/s^2

The block started from rest, thus, initial velocity = 0

Distance travelled = 11 m

We want to calculate the final velocity at the bottom. We would apply the formula,

v^2 = u^2 + 2as

where

v = final velocity

u = initial velocity

a = acceleration

s = diatance

Thus,

v^2 = 0^2 + 2 x 4.9 x 11 = 107.8

v = square root of 107.8 = 10.38

The speed of the block at the bottom of the ramp = 10.38 m/s

b) The movement of the block on the floor is opposed by friction. Fr represents frictional force. Fa is the frorce moving the block forward.

Recall, Fa = 44.1N

Frictional force = normal reaction x coefficient of friction

The block travels 20.8 m on the floor before coming to rest. Thus,

initial velocity = 10.38

final velocity = 0

We would find the acceleration by applying the formula

v^2 = u^2 - 2as

The negative sign is because the block was decelerating. Thus,

0^2 = 10.38^2 - 2 x a x 20.8

10.38^2 = 2 x a x 20.8

107.744 = 41.6

a = 107.744/41.6 = 2.59

Force with which the block moved on the floor = 9 x 2.59 = 23.31N

Recall, frictional force = 9 x 9.8 x coefficient of friction

Thus,

44.1 - 88.2 x coefficient of friction = 23.31

88.2 x coefficient of friction = 44.1 - 23.31 = 20.79

coefficient of friction = 20.79/88.2

coefficient of friction = 0.24

c) The height of the block above the ground is calculated by

height = 11 cos30 = 9.53

Potential energy = mgh

Potential energy of block at the top = 9 x 9.8 x 9.53 = 840.55 J

Kinetic energy of the block when it came to a stop = 0

Thus, Mechanical energy lost due to friction = 840.55 - 0 = 840.55 J

Answer:c

Explanation:

The rate at which heat is transported by conduction through with a material's unit cross-section area when a temperature gradient exits perpendicular to the area is known as thermal conductivity. Thus, option C is correct.

The pattern of thermal conductivity will alter as a result of the different rates at which atoms of various sizes or atomic weights vibrate. Less conductivity results from less energy transfer between atoms. Aluminum has a lower heat conductivity than pure silver and copper.

Therefore, As you can see, bronze and steel have the lowest thermal conductivity among the more popular metals, whereas copper and aluminum have the highest. When selecting a metal for a certain application, heat conductivity is an essential quality to consider.

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Answer:

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Answer:

Most of us have experienced some form of electric “shock,” where electricity causes our body to experience pain or trauma. If we are fortunate, the extent of that experience is limited to tingles or jolts of pain from static electricity buildup discharging through our bodies.

When we are working around electric circuits capable of delivering high power to loads, electric shock becomes a much more serious issue, and pain is the least significant result of shock.

As electric current is conducted through a material, any opposition to the current (resistance) results in a dissipation of energy, usually in the form of heat. This is the most basic and easy-to-understand effect of electricity on living tissue: current makes it heat up. If the amount of heat generated is sufficient, the tissue may be burnt.

The effect is physiologically the same as damage caused by an open flame or other high-temperature source of heat, except that electricity has the ability to burn tissue well beneath the skin of a victim, even burning internal organs.

Answer:

No because sugar is more sweet and it would not have the benefits of salt. Think of it like how people used to put salt on meat to preserve it. Would they put sugar on? No they would not because salt is a combination of things that sugar does not have.

Explanation

100

Explanation:

cause 400-300 : 100 pray it's correct

Explanation:

Effective communication with patients will enable one to know the needs of the patient better as well as reducing the barriers to understanding each other for both parties.

To be an effective communicator while educating patients, the person must:

Answer:

Weight of object on moon is 5N ,as we know. Weight of object on moon is 1/3 the of object on earth,so

let weight of object on earth = X

5N= X/3

X = 3×5 = 15N

Hence the weight of the object on earth will

be 15N

The Big Bang theory is the most widely accepted explanation for the origins of the universe, but it does not necessarily imply that the universe emerged from nothing.

It is possible that new discoveries or insights may shed light on this fundamental question in the future. The universe may have arisen from a pre-existing state or through some other natural process that we do not yet understand.

Instead, the theory describes how the universe underwent a rapid expansion from a very dense and hot state. The conditions and laws of physics that applied during the earliest moments of the universe may not necessarily be the same as those we observe today, and there are many unknowns and uncertainties in our understanding of these early stages.

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The electric force on the charges is determined as 33.75 N.

The electric force between the two spheres is determined by applying Coulomb's law of electrostatic force.

This law states that the electrostatic force between two charged bodies is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.

F = kq₁q₂/r²

where;

The given parameters

the magnitude of the first charge, q₁ = 0.003 C

the magnitude of the second charge, q₂ = 5 x 10⁻⁶ C

the distance between the charges, r = 2 m

Substitute the given parameters and solve for the electric force between the charges.

F = (9 x 10⁹ x 0.003 x 5 x 10⁻⁶) / (2²)

F = 33.75 N

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1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point ,  the heat of fusion of the substance is 548 joules .

Heat of fusion, also known as enthalpy of fusion or latent heat of fusion, is the amount of energy required to melt or freeze a substance under constant pressure conditions. When it comes to chemistry, "fusion" is basically synonymous with "melting." In the classroom, heat of fusion is typically used when a substance is at its melting or freezing point. In such instances, most people consider heat of fusion to be a constant.

Water, for example, has a heat of fusion of 334 J/g at its melting point of 0°C. At 0°C, one grams  of liquid water requires 334 Joules of energy to completely freeze into ice. In addition, one grams of ice requires 334 Joules of energy to melt entirely.

q = m×∆Hf

q: Total change in heat energy (in Joules)

∆Hf: Heat of fusion of substance (in Joules per gram)

m: Mass of substance (in grams)

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Answer: D. movement of material along a coast by waves that approach at an angle to the shore.​

Explanation:

Longshore drift is also referred to as the littoral druft and it means the sediment that is moved by the longshore current.

Longshore drift is the movement of material along a coast by waves which approach at an angle to the shore but then recede down the beach.

Therefore, the correct option is D.

The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.

To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.

The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.

The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.

By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:

The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.

The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.

The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.

Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.

Hence, the correct statement is: The graph shifts 2 units right and 7 units down.

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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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