3. if the rock is projected horizontally at the same speed (2.5 m/s) from a different cliff, and it lands at a point 7.5 m from the base of the cliff, how high is the cliff?

True. A diatomic ideal gas at pressure P and volume V is expanding to three times its initial volume under constant pressure.

The pressure of the gas will remain constant as the volume expands, therefore the ideal gas law states that the product of pressure and volume will remain constant, meaning the pressure will decrease as the volume increases.

As the diatomic ideal gas expands to three times its initial volume, the pressure of the gas will remain constant due to the ideal gas law, which states that the product of pressure and volume must remain constant. As the volume of the gas increases, the pressure must decrease in order to maintain the constant product. Therefore, although the pressure remains constant, the volume of the gas will increase three-fold.

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The bullet's kinetic energy is 4000N.

What exactly is kinetic energy?

To accelerate an item, we must apply force to it. We must make an attempt to utilise force. When work is done on an item, energy is transferred, and the object then travels at a new, constant speed. The energy conveyed is known as kinetic energy, and it is affected by the mass and speed obtained.

Kinetic energy is defined in physics as follows:

The amount of work an item can do while moving is measured by its kinetic energy.

According to the information provided:

mass=10g=10/1000=0.01kg

Initial velocity=u=200m/s

0 m/s final velocity

S=5cm=5/100=0.05m

Using the third equation of motion: V²-u²=2as

0²-(200) ²=2a*0.05

-40000=a/10

a=-400000m/s²

Newton's Second Law states:

F=ma

=0.01*(-400000)

=-4000N

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Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.

What exactly is kinetic energy?

To accelerate an item, we must apply force to it. We must make an attempt to utilise force. When work is done on an item, energy is transferred, and the object then travels at a new, constant speed. The energy conveyed is known as kinetic energy, and it is affected by the mass and speed obtained.

Kinetic energy is defined in physics as follows:

The amount of work an item can do while moving is measured by its kinetic energy.

According to the information provided:

mass=10g=10/1000=0.01kg

Initial velocity=u=200m/s

0 m/s final velocity

S=5cm=5/100=0.05m

Using the third equation of motion: V²-u²=2as

0²-(200) ²=2a*0.05

-40000=a/10

a=-400000m/s²

Newton's Second Law states:

F=ma

=0.01*(-400000)

=-4000N

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The velocity of the rode at the end of the time 4.33 seconds is 42.434 m/s.

Velocity is the rate of change of displacement.

To calculate the velocity of the, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the velocity at the end of the time is 42.434 m/s.

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The length of the pendulum is  128.57 feet.

The duration of time it takes for any string element to complete an oscillation is known as the time period of an wave oscillation.

The period T (in seconds) of a pendulum is given by: T = 2π√(l/g).

The period is 12.56 seconds.

Acceleration due gravity: g = 32.1741 feet/second².

Hence,  the length of the pendulum be = (T/2π)²g

=  (12.56/2π)²×32.1741 feet

= 128.57 feet.

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The forces which acts on a bucket of water when it pulled upward out of a well are:  b) Gravity force  e) Tension force and f) Air resistance force. So, correct listed options are b, e, f.

The forces imparted through a rope, string, or wire while two contradicting forces draw on it is known as Tension force. The pressure force pulls energy similarly on the bodies at the closures and is applied along the whole length of the wire. Gravity force is acted due to gravitational force acted by the gravity on the object.

Each actual article in touch with another applies a force to that item. In view of the sort of articles, names are given to these contact forces. You can allude to strain as one of the powers following up on an item, like a rope, link, or chain.

Hence, correct options are b, e, f.

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(Complete question) is:

Consider this situation: A bucket of water, attached to a rope, is being pulled upward out of a well. Of the forces listed, identify which act upon the bucket.

a. Normal Force

b. Gravity Force

c. Applied Force

d. Friction Force

e. Tension Force ​

f. Air Resistance Force

By using Archimedes Principle the Barge will sit at a depth of 0.7203 m

What is Archimedes Principle?

The buoyancy of any floating object partially or totally submerged in a fluid can be computed thanks to Archimedes' principle. The weight of the thing alone exerts a downward force on it. The upward or buoyant force acting on the object is what is meant by the aforementioned Archimedes' principle. The difference between the buoyant force and the object's weight is therefore the net force acting on it. In the event that this net force is positive, the item will rise; in the event that it is negative, the object will sink; and in the event that it is zero, the object will be neutrally buoyant, remaining stationary.

Calculation:

The harbour contains salt water while the river contains fresh water. So assuming that the densities of fresh water and salt water are:

density (salt water) = 1029 kg / [tex]m^3[/tex]

density (fresh water) = 1000 kg / [tex]m^3[/tex]

The amount of water (in mass) displaced by the barge should be equal in two waters.

mass displaced (salt water) = mass displaced (fresh water)

Since mass is also the product of density and volume,

therefore:

[density * volume] of salt water = [density * volume] of fresh water

First we calculate the amount of volume displaced in the harbour (salt water):

V = [tex]3.5 m\ X\ 24.0 m\ X\ 0.70 m[/tex]

V = [tex]58.8 m^3[/tex] of salt water

Plugging in the values into equation 1:

1029 kg /  [tex]m^3[/tex] × 58.8 m^3 = 1000 kg/[tex]m^3[/tex]× Volume fresh water

Volume fresh water displaced = 60.5052 [tex]m^3[/tex]

Therefore the depth of the barge in the river is:

60.5052 [tex]m^3[/tex] = 3.5 m × 24.0 m × h

h = 0.7203 m

By using Archimedes Principle the Barge will sit at a depth of 0.7203 m

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The rock thrown horizontally at 8.0 m/s from a bridge before it hits the water = 16.15 m.

Free fall motion is a motion that falls from a height without having an initial velocity. As long as the object is falling, air resistance is negligible, its acceleration is constant and the magnitude is equal to the acceleration due to gravity. In addition, the time it takes for an object to fall does not depend on its mass, but depends on its height.

We have,

The velocity of the rock = 8.0 m/s ⇒ v

Fall height of the rock = 20 m ⇒ h

And, to determine  how far does the rock travel horizontally before striking the water, we use the equation:

d = v x t

We have the velocity (v), but don't have the time (t).

So, determine the time first

Use the equation to determine the height:

h = ½ gt²

20 =  ½ (9.8)t²

t² = 4.08

t = [tex]\sqrt{4.08}[/tex]

= 2.01 s

So, the distance the stone traveled before striking to the water:

d = (8.0) (2.01)

= 16.15 m

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In order to balance the seesaw, John should sit at a distance of 1.7m from the center.

This question can be solved using the concept of moment. in order to balance on the seesaw the moment on the center of seesaw should be zero or in other words

∑M = 0

Now, the moment is expressed by the formula

∑M = F × d

where, ∑M is the Algebraic sum of moments in the center of the balance, M is the moment in the center point ( N*m), F is the Force (N) and d is the distance of the force to the the center point(N*m).

Now, we have

Mass of Anna (M) = 60kg

Mass of John (m) = 70kg

Distance from Anna to the center of the seesaw (dA) = 2m

Distance from John to the center of the seesaw (dJ) = ?

Acceleration due to gravity (g) = 9.8 m/s²

Also, W = mass × g. So, W = Anna's weight and w = John's weight

Now, to find the distance we write the Moment equation as

∑M = 0

(W)(dA) - (W)(dJ) = 0

(M*g)(dA) - (m*g)(dJ) = 0

We divide the equation by g

(M)(dA) - (m)(dJ)= 0

(M)(dA) = (m)(dJ)

dJ = M(dA)/m

dJ = 60×2/70

dJ = 120/70

dJ = 1.7m which is distance of John from center.

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Answer:

1.5 m

Explanation:

speed=frequency*wavelength

15=10*wavelength

5.29 kg is the mass of 4.87 x 10²⁵ atoms of Zn.

As a measure of inertia, which is a fundamental characteristic of all matter, mass is used in physics. It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force.The symbol for mass is m or M. The force exerted on a mass as a result of the acceleration brought on by gravity is measured as weight. W typically stands for weight.

As, we know

Mass of 1 mole of Zn = 65.38 gm/mole

= (65.38/1000) kg/mole

= 0.06538 kg/mole

We know,1 mole = 6.023 × 10²³ atoms.

Thus, moles of Zn = 4.87 × 10²⁵ / 6.023 × 10²³

= 80.87 moles

Therefore, mass of Zn = 80.87 moles × 0.06538 kg/mole

= 5.287 kg ≈ 5.29 kg

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Answer:

Below

Explanation:

KE = 1/2 mv^2

  soooo   ...

a) doubling m doubles KE
b) doubling 'v' makes KE 4 times greater (because v is v^2)

c) 1/2 *2^2 = double KE

d ) 1/2^2 = 1/4 KE

e)  3 * 1/2^2 = 3/4 KE

This means that the bumper's spring has a spring constant of     8.89×1058.89×105 N  k=8.889×105N/m

It believes that reality is a subject that can be investigated impartially.The researcher must maintain their independence and distance from the subject under study.Research was value-free; it should not be in any way influenced by the researcher's values.

In general, quantitative research makes the following assumptions:Truth is a phenomenon that can be investigated objectively because it is "out there," objective, and independent of a researcher;

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When she pulls her arms in close to her body, the thing that happens to her angular velocity is that When she pulls her arms in, her rate of spin increases significantly, which reduces her moment of inertia. She exerts effort to pull in her arms, which causes rotational kinetic energy to rise.

If there is no net external torque surrounding a location in a fixed inertial reference frame, the angular momentum of the system of particles around that point is conserved:

The overall angular momentum is conserved, as you can see. As long as the aggregate is constant, any one of the constituent angular momenta can change. When there is no external force acting on a system, this equation is equivalent to the conservation of linear momentum.

Therefore, since an ice skater performing a spin as an illustration of the conservation of angular momentum. Because there is hardly any friction between her skates and the ice, the net torque on her is almost nil. Additionally, the friction is applied quite near the pivot.

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When the source and observer are both moving towards each other, receive frequency will be same.

The change in frequency of a wave in proportion to an observer who is moving relative to the wave source is known as the Doppler effect, Doppler shift, or simply Doppler, depending on the context. It bears the name of the Austrian scientist Christian Doppler, who first characterized it in 1842.

The Doppler effect, also known as the Doppler shift, is a term used to explain changes in frequency caused by moving sources of sound or light with regard to an observer. As the source gets closer to the observer, the waves it is emitting become compressed and have a greater frequency.

Observer and source moving in same direction, then the frequency becomes:

f = (v ± v₀) × f/ [v ± v(s)]

Now, assume observer is behind the source ,source is moving towards observer and observer is moving away from source:

f₁ = (v - v₀) × f/[v - v(s)]

Here, received frequency will be same, thus Doppler effect occur due to relative motion.

Yes , the perceived frequency will be same as the source frequency.

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A bullet that has a mass of 9.81 g traveling at 1769 miles per hour has a wavelength of 0.85 x 10⁻³⁴ m

A physicist "Louis de Broglie" put forward a hypothesis that particles can also be treated as particles as well as waves. Using theoretical concepts from black body radiation, de Broglie showed a relationship expressing momentum with wavelength. This equation is derived from the energy equation for a photon in black body radiation. The energy of a photon is a function of the wavelength of the photon.

The equation is:

λ = h/p

We have,

Mass of the bullet = 9.81 g = 0.00981 kg

v = 1769 mph ⇒ 790.81 ms⁻¹

h =  Planck's constant ⇒ 6.63 x 10⁻³⁴ m²kg⁻¹

Determine the momentum (p) of the bullet first,

P = mv

= (0.00981) (790.81 )

= 7.75 kgms⁻¹

So, the wavelength of the bullet:

λ =  6.63 x 10⁻³⁴ / 7.75

= 0.85 x 10⁻³⁴ m

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The work is done by the force the viscous medium exerts on the object as it falls 85 cm is -26.35 joules.

   The mass of the object is m = 3.1kg

    The speed of fall is v = 2.5 m/s

    The depth of fall is d = 85cm

Now here given that the velocity is constant, then the work energy is zero.

So, work done by the potential energy of the object and that of the viscous liquid we have

      W = Wv + Wp

Where  Wv is work done by viscous liquid and

Wv is the work done by the object

           Wp = mgd

So  

      0  = Wv + mgd

 Wv = -mgd

substituting values

Wv = -3.1x10x85

Wv = 26.35 joules

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The enthalpy of vaporization as determined from the different temperatures is  23.6 kJ/mol.

The enthalpy of vaporization has to do  with the heat that is given out when a substances is converted from liquid to vapor under standard conditions.

We can use te formula;

ln(P2/P1) = -ΔHvap/R(1/T2 - 1/T1)

P2 = final pressure

P1 = initial pressure

ΔHvap = enthalpy of vaporization

T2 = final temperature

T1 = initial temperature

Then;

ln(135/24.3) = -ΔHvap/8.314 (1/325 - 1/273)

1.7 =  -ΔHvap/8.314 (0.0031 - 0.0037)

1.7 =  -ΔHvap/8.314 (-0.0006)

1.7 = 0.0006ΔHvap/8.314

To obtain the enthalpy of vaporization here;

ΔHvap = 1.7 * 8.314/0.0006

= 23.6 kJ/mol

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The  statements that I  think are true are:

Gravity can be described as the force by which a planet or other body draws objects toward its center however the force of gravity keeps all of the planets in orbit around the sun.

It should be noted that Gravity do depends on the material of the objects however the Gravity can not be regrded as force because it can't move objects but can be consdidered as the force because a force is a push or a pull, as it can be seen in hoiw the  moon has less gravity than the Earth because it has less mass than the Earth.

In conclusion, Gravity depends on the material of the objects and it should be noted that Gravity is a force because a force is a push or a pull.

Therefore, option A and C are correct.

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The distance between the slits and the fringe width are inversely proportional. When the distance between the slits is doubled, the fringe's width is reduced by half.

What diffraction and interference pattern is mixed on the screen?

Diffraction. Interference is described as occurring when waves from two different independent sources have differing wavefronts. Diffraction, on the other hand, is described as secondary waves that split off from the primary wave.

Therefore, each wavelength's waves will produce a different type of interference pattern if white light is employed in Young's experiment instead of monochromatic light. The overall result of all these designs may be seen on the screen. Consequently, the middle white fringe.

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It is true to say that the light passes through the entire thickness of the neural layer of the retina to excite the photoreceptors. So,correct option is A.

At the point when the light raises a ruckus around town (a light-touchy layer of tissue at the rear of the eye), extraordinary cells called photoreceptors transform the light into the electrical signs. These electrical signs travel from the retina through the optic nerve to the cerebrum.

The vision cycle depends intensely on the capacity of the eye to refract light. This happens at both the cornea and the focal point of the eye. The course of vision initially begins with the light going through the cornea. Since the cornea has a round surface it behaves like a uniting focal point.

Hence, option A is correct.

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The flywheel of a steam engine starts revolving at rest with a constant angular acceleration of 1.47 rad/s2, therefore the wheel has rotated across a total angle of 1709.67 rad after 59.5 seconds.

To answer the question, we write down the flywheel's motion equation as 2 = 1 + t.

Where:

Initial angular velocity for the body is 0 rad/s in equation (1) Initial and final angular velocities

Time is equal to 24.7 seconds and angle acceleration is 1.47 rad/s2.

After entering the values, we discover that 2 2 = 0 + 1.35 rad/s2* 24.7 s = 38.205 rad/s.

Thus, 540.60075 rad + 1169.073 rad = 1709.67375 rad 1709.67 rad is the equation for the total angle the flywheel covered in 59.5 seconds.

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The relationship between heat and pressure is that they are directly proportional to each other by Gay-lussac law.

Heat is the energy that moves from one thing to another when temperatures are different. Heat passes from the hotter to the colder body when two bodies with different temperatures are brought together. Usually, but not consistently, this energy transfer results in a rise in the heat of the colder body and a fall in the temperature of the hotter body.

By switching from one physical situation (or phase) to the other, such as melting from a solid to a liquid, sublimation from a solid to a vapor, boiling from a liquid to steam or changing from one stable state to another, a substance can absorb heat without increasing in temperature.

The relationship between pressure and temperature for a given volume of gas is straightforward. Pressure rises in systems when temperature increases, and vice versa. The Gay-law Lussac specifies the link between a gas's pressure and temperature.

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A 2 mm diameter meteor of specific gravity 2.9 has a speed of 6 km/s at an altitude of 50,000 m where the air density is 1.03 x 10-3 kg/m3. if the drag coefficient at this large number condition is 1.5, 5km/s is the deceleration of the meteor.

A material's density in respect to a standard substance is determined by its specific gravity, also referred to as relative density. When comparing the densities of solids like meteor and liquids, water is commonly used as a reference because it has a density of one kilogram per litre at 4 °C (39.2 °F) (62.4 pounds per cubic foot). At standard conditions (0 °C and 1 standard atmosphere), dry air, which is widely used to compare gases, has a density of 1.29 grams per litre (1.29 ounces per cubic foot). For instance, liquid mercury has a density of 13.6 kg per litre and a specific gravity of 13.6. Even though it has a standard density of 1.976 grams per litre, the gas carbon dioxide has a specific gravity of 1.53 (= 1.976/1.29). The ideas of specific gravity and buoyancy, or an object's propensity to float in water or the atmosphere, are interrelated.

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The first resonance frequency is 3400 Hz and the wavelength at second frequency is 3.33 cm. After the ear canal is full of water the first resonance frequency increases. The power of sound waves on the year is  840 X 10⁻⁹ W and if the intensity of sound is reduced by a factor of 4, then the intensity level will be 135 dB.

(a) The ear, being open at one end and closed at the other, is equivalent to a closed pipe. For a closed pipe, the first resonant frequency occurs when one quarter of the wavelength is equal to the length of the pipe.

= λ/4 = l

= λ = 4l

Now, Speed is given by

= v = fλ

where f = frequency

= f = v/λ

At the first resonant frequency,

= f = v/λ

= f = v/4l

= f = 340 / (4 X 2.5 X 10⁻²) m

= f = 3400 Hz

(b) At second resonance,

= (3/4)λ = l

= λ = (4/3) X l

= λ = (4/3) X 2.5 X 10⁻²

= λ = 3.33 cm

(c) Since, sound travels faster in a liquid than in gas, the first resonance frequency increases when the ear canal is filled with water as speed increases. This is because, speed is directly proportional to intensity.

(d) Intensity = i = 4 X 10⁻⁶ W/m²
Surface area = a = 210 X 10 ⁻³ m²

Power of the sound waves = p =

= p = i X a

= p = 4 X 10⁻⁶ X 210 X 10 ⁻³

= p = 840 X 10⁻⁹ W

(e) Intensity level = l = 100 dB

If the intensity is reduced by 4, then using the relationship between decibel and sound intensity is :

= β = 10 X log(I₁ / I₂)

= β = 10 log (0.25/10⁻¹²) dB

=  β = 135 dB

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The maximum transverse acceleration of a point on a wire is 47410.0839m/sec² having mass of 10g.

Transverse Wave travels from highest point of positive amplitude to negative highest point amplitude. Amplitude is the point where potential energy of wave is highest. Transverse wave travels in definite direction. We have mass=10g=0.001kg,length of wire is 8m,frequency of transverse wave is 570Hz,wavelength =0.10m

Now, we need to transverse wave acceleration, for this we need angular frequency because there is co-relation between transverse wave acceleration and angular frequency.

We know that angular frequency=2πf where f is the angular frequency.

ω=2×π×570

=>ω=2×3.14×570

=>ω=6.28×570

=>ω=3579.6/sec

Now, for acceleration we know that =ω²A where A is the amplitude of the wave.

=>a = (3579.6)²×3.7mm

=>a=((3579.6)²×3.7×1/1000)m/sec²

=>a=[(12813,536.2)×3.7×1]/1000m/sec²

=>a=47410083.8/1000m/sec²

=>a=47410.0839m/sec²

Hence, maximum transverse acceleration is 47410.0839m/sec²

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True,  Mechanical energy is chosen because the roller coaster chooses one energy owing to friction and air resistance as it travels down the track.

Mechanical energy is the sum of kinetic energy and potential energy in an object that is used to do some work.

Mechanical energy is chosen because the roller coaster chooses one energy owing to friction and air resistance as it travels down the track. Therefore the given statement is true.

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Answer:

The mass of the truck is 1500 Kg.

Explanation:

We know that,

F = mg

m = F/g

m = 15000/10

m = 1500 Kg

m = 1500 KgThus, The mass of the truck is 1500 Kg.

There are 26.88 minutes left before Jacky's scheduled time.

Let x be the separation between Jacky & her buddies.

Let t be the typical travel time that Jacky would take to go to her friend's house.

Time = Distance ÷ Speed

He will arrive at the meeting three minutes late if she rides at a speed of 10 mph.

Time of lateness in hours = 3 ÷ 60 = 0.05 hours

t  +  0.05  =  x ÷ 10

10t  +  0.5  =  x

She will arrive two minutes before the scheduled meeting time if she rides at a speed of 12 mph.

2 seconds equal 0.033 hours

t  -  0.033 = x ÷ 12

12t  -  0.396  =  x

Compare equations from 10t  +  0.5  =  x and 12t  -  0.396  =  x.

10t  +  0.5   =  12t  -  0.396

12t  -  10t  =  0.5  + 0.396

2t   =  0.896

t   =  0.896/2

t  =  0.448 hours

t  =  0.448  x  60

t   =  28.88 minutes

Jacky has 27 minutes well before the scheduled time or 26.88 minutes.

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The coating should be made 0.5 cm thick.

Wavelength of the radar waves = λ = 3 cm

Index of refraction of the polymer = n = 1.50

Thickness required = t

Generally the equation for Destructive interference for Normal incidence is mathematically given by:

= 2 X n X t = 0.5 X m X λ

If we calculate at minimum thickness, then m = 1.

Thus, thickness = t =

= 2 X n X t = 0.5 X  λ

= 2 X 1.5 X t = 0.5 X 3

= t = (0.5 X 3) / (2 X 1.5)

= t = 0.5 cm

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