(a) is positive or negative work done by a constant force f with arrow on a particle during a straight-line displacement d with arrow if the angle between f with arrow and d with arrow is 27°?

Assume that similar quantities of heat are transferred into various masses or mercury and water, resulting in equivalent temperature variations. Mercury's mass is 0.033 times that of water.

Of such eight moons of jupiter, Mercury is the smallest and one that is closest to the Sun. Mercury completes three spins of its axis for each of the two circuits it makes around the Sun, so takes around 96 Earth days. This rotation is exclusive to the solar system and is gravitationally locked.

According to the statement we have Mass of mercury = M(Hg), and

Mass of Water = M(H₂O)

M(cu) / M(H₂O) , heat transfer and mass are related as we have the formula : Q=mcΔT

according to the formula we have , Q(Hg) = M(Hg) C(Hg)ΔT(Hg)...........(1)

for water ,  Q(H₂O)= M(H₂O) C(H₂O)ΔT(H₂O)..............................(2)

therefore dividing by specific heat in the temperature = C T from both sides .

we Get :      [tex]\frac{ Q(Hg)}{CT} =[/tex][tex]\frac{ M(Hg) C(Hg)ΔT(Hg)}{CT}[/tex] , [tex]\frac{Q(H2O) }{CT} =[/tex] [tex]\frac{C(H2O) Δ TH2O}{CT}[/tex]

∴ Q(Hg)=[tex]\frac{Q(Hg)}{Q(Hg)ΔT(Hg)}[/tex]  ,    Q(H₂O)= [tex]\frac{ Q(H2O)}{C(H2O)ΔTH2O)}[/tex]

      by solving we get = Q(Hg)/C(Hg)ΔT(Hg)/Q(H₂O) / C(H₂O)ΔT(H₂O)

= Q(Hg)/C(Hg)ΔT(Hg) × C(H₂O)ΔT(H₂O)/Q(H₂O)

= [tex]\frac{C(H2O)}{C(Hg)}[/tex]= M(Hg)/M(H₂O)

specific heat of water = 4184 J/kg

and specific heat of mercury = 139 J/kg

therefore we get 4184/139 = 0.033 ans or  3:100 in ratio

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Total work done to be done on the box in moving it 2.50 m along the floor is 175 j.

Friction force is an opposing force of motion. It comes into play when an object moves over the surface of another object.

We can find the friction force using formula,

[tex]F_{friction[/tex] = µ • [tex]F_{normal[/tex]

Where,

[tex]F_{friction[/tex] = friction force

µ  = coefficient of friction

[tex]F_{norm[/tex] = normal force.

In question given is

Horizontal force(F)  = 75 N

Average friction force (f)  = 5.0 N

displacement = 2.50 m

[tex]F_{net[/tex] = F-f

      = 75- 5 N = 70 N

Work done by the force is

W = [tex]F_{net[/tex] × S

  = 70 × 2.50 j

  = 175 j

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It has a planet orbiting at a distance larger than 1 AU when you discover a star that rotates back and forth every 16 months and has the same mass as the sun.

How can a planet's orbit move inward due to a gravitational collision? Another object receives both energy and angular momentum from it.

There are two fundamental obstacles to directly finding exoplanets. One is that as we go farther away from the earth, the angular size of planets decreases and is no longer able to be resolved in a picture.

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According to this graph, the minimum size of an object that could cause a mass extinction is a little less than  10 km.

Answer is in the graph, min size of object that could cause a mass exinction is a little less than 10 km.

When a significant portion of biodiversity, such as separate species of bacteria, fungi, plants, mammals, birds, reptiles, amphibians, fish, or invertebrates, goes out during a brief period of geological time, this is referred to as a mass extinction. Impacts from comets and asteroids, extensive volcanism, climate changes,bacteria,abrupt shifts in the topography and ocean currents, or a combination of these elements may be the cause of mass extinction events. At least 75 percent of all species become extinct during major extinctions, which typically last three million years. Some experts think that, if things continue as they are, we may be able to remove that number within a few centuries.

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Therefore, the number of ²³⁹Pu atoms in 1.0 mm diameter particle is  2.6*10⁷

The half-life of the  is  ²³⁹Pu=2400 yrs

The radius of soot particles is r =1*10⁻⁶m/0=0.5*10⁻⁶m

The density of Plutonium is  ρ=19800kg/m³

The number of   ²³⁹Pu atoms in a  diameter particle is

N=(m/Ma)Na

=ρ4πr³Na/3Ma

Substitute the given values to get number of atoms in particle

N=19.8*4π*(0.5*10⁻⁶)³*6.02*10²³/3*239*10⁻³

=2.6*10⁷

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Question is incomplete the complete question is:

A student runs an experiment in which a block of known mass is moving across a horizontal table in an xy-coordinate plane. As the block reaches the origin of the coordinate system, the block explodes into two pieces of masses m1 and m2. During the experiment, the velocity of the block 1.0 second before the explosion and the velocity of the two pieces 1.0 second after the explosion are measured using a motion sensor. Conservation of momentum is applied using the masses of the two pieces. However, when the velocity of the piece of mass m2 is calculated, the measured value is 10% less than the calculated value. Which of the following statements best explains the difference in the calculated and measured velocity?

A) As the block is moving across the table, friction will affect the block’s motion and thus could account for the difference.

B) It is possible that a small amount of the original block was lost during the explosion.

C) When the student did the calculation, the student assumed that the explosion occurred just as the block reached the origin. The difference in velocity could be due to the explosion occurring either just before or just after the origin.

D) The explosion created a force that affected the experiment.

E) Conservation of momentum is not the correct equation to apply to the explosion, since the two pieces apply forces to each other.

The correct explanation will be as the block is moving across the table, friction will affect the block’s motion and thus could account for the difference.

What is friction?

Moving things lose energy and slow down due to the friction force that resists their motion. A fluid, like air or water, exerts a frictional force on moving objects when they travel through it. A fluid's frictional force is referred to as a drag force.

Effect of friction on motion?

An opposing force to the relative motion of two objects is friction. You will be researching kinetic friction for this assignment (also called sliding friction). Kinetic friction is the process by which some of the kinetic energy of motion between two objects is transformed into heat. The same thing happens when two objects are sliding past one another-for example, when you push a box across the floor.

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S' = 14.77 cm height of image = 0.577 mm is the computed response. It is inverted because magnification is negative.

Where radius (R) is positive because it is facing the same direction as the refracted light, and index of refraction (n1) = 1 for air and index of refraction for glass (n2) = 1.60, object distance from vertex to spherical surface (s) is 24 cm, or 0.24 meters, and image distance from vertex to spherical surface (s') is 4 cm, or 0.04 meters.

Height of object = y = 1.5 mm = 0.0015 m Height of image = y'

For a spherical reflecting surface, the object-image formula is:

According to the magnifying formula:

It is inverted because magnification is negative.

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The resultant displacement of the feather  be 50.33 m.

The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.

For instance, if an object shifts from location A to position B, its position changes. Displacement is the term used to describe this shift in an object's position.

Given that: A bird drops a feather from the roof of a 13.1 m tall building. The feather is blown 48.6 m west before falling to the ground.

So,  the resultant displacement of the feather  be = √(13.1² + 48.6²) m = 50.33 m.

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To calculate the pressure in the car tires, we can use the equation $P = \frac{F}{A}$, where $P$ is the pressure, $F$ is the force acting on the area, and $A$ is the area over which the force is applied. In this case, the force acting on the tire is the weight of the car, and the area is the portion of the tire that is in contact with the road.

First, we need to calculate the weight of the car. The weight of the car is given by the equation $W = mg$, where $m$ is the mass of the car and $g$ is the acceleration due to gravity. We are given that the mass of the car is 1700 kg, so the weight is $W = 1700 \text{ kg} \times 9.8 \text{ m/s}^2 = 16786 \text{ N}$.

Next, we need to calculate the force acting on each tire. Since the weight of the car is distributed evenly among the four tires, each tire supports one-fourth of the total weight, or $F = \frac{1}{4} \times 16786 \text{ N} = 4196.5 \text{ N}$.

Now we need to calculate the area of the tire that is in contact with the road. The width of the tire is 16 cm, and we are given that two-thirds of the flattened bottom segment is in contact with the road.

This means that the length of the segment in contact with the road is $\frac{2}{3} \times 15 \text{ cm} = 10 \text{ cm}$. The area of the tire in contact with the road is therefore $A = 16 \text{ cm} \times 10 \text{ cm} = 160 \text{ cm}^2$.

Finally, we can use the equation $P = \frac{F}{A}$ to calculate the pressure in the tires. Plugging in the values for the force and the area, we get

$$P = \frac{F}{A} = \frac{4196.5 \text{ N}}{160 \text{ cm}^2} = 26.2 \text{ Pa}$$

Since 1 psi is equivalent to 6894.757 Pa, the pressure in the tires is approximately

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According to the one-year calendar model based on the Big Bang theory, life on the planet began in August.

The Big Bang theory is the most recent conjecture for the creation of the universe. The big explosion that occurred 13.7 billion years ago is believed to be the beginning of the journey of the entire universe.

The big bang theory describes the creation of the universe as an expansion of matter which then exploded like a giant balloon that is constantly being filled with air. The remnants of these explosions then each became the seeds for the formation of galaxies, solar systems, and the various objects that fill them.

Revealed, Dark Energy in the Universe in Cosmology

Cosmologists and physicists call the universe currently expanding as a result of the Big Bang explosion. Even the speed of its expansion is believed to continue to increase.

Scientists have also found predicted thermal signatures from the Big Bang, the cosmic microwave radiation that enveloped the universe. In the thermal traces there are no objects older than 13.7 billion years, indicating that the universe was born around that time (the time of the Big Bang phenomenon).

The traditional Big Bang theory holds that the universe began from a singularity, or point of infinite density and temperature whose properties are difficult for the human mind to comprehend.

But the theory does not accurately describe anything obvious, because the singularity idea is based on Einstein's general theory of relativity.

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Answer:

Explanation:

The diagram shows four forces acting on a plane in flight. direction of flight. (b) (i). Which arrow represents air resistance?

This leads us to the conclusion that if an object of mass "m" weighs "mg," then an object of mass "2m" weighs "2mg."

Mass is a crucial aspect of all matter and a measurement on inertia in physics. What a body of matter is fundamentally, is the resistance it offers to something like a change in its speed and location brought on by the application of a force. The amount of mass a body has no bearing on how much of a change a force applies.

Mass is a unit used to describe the amount of matter who makes up an object. Weight, a measure of force, is used to calculate the gravitational pull an object experiences. In contrast to mass, weight is not location-dependent.

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Given their position, Pluto , Eris are sometimes known as trans-Neptunian objects and dwarf planets (TNOs).

A dwarf planet outside of Neptune's orbit is referred to as a plutoid. As a result of their small size and extremely frigid surface temperatures, Plutoids are also sometimes referred to as "ice dwarfs." One of our solar system's largest dwarf planets is Eris. Despite being three times farther from the Sun, it is roughly the same size as Pluto.

Pluto was downgraded to a dwarf planet by the International Astronomical Union (IAU) because it did not meet the three requirements for a full-sized planet. In essence, Pluto satisfies all the requirements save for the fact that it "has not cleared its neighboring region of other objects."

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When a soccer ball is kicked horizontally, then the average speed is calculated to be 5.25 m/s.

The term displacement means that an object has moved, or has been displaced. Change in position of an object is displacement. Standard unit of displacement in the International System of Units is meter. Displacement is usually measured along a straight line

Distance is a scalar quantity that refers to how much ground an object has covered during motion whereas displacement is a vector quantity that means how far out of place an object is.

Given displacement is 21m

and time = 4sec

Therefore average speed= 21/4

= 5.25 m/s

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We can conclude that the kinetic energy of the arrow after it is being shot is 70 J.

What is kinetic energy?

The energy an item has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

Given data:

The magnitude of potential energy is, U = 70 J.

Since, it is given that there is no net loss of energy, which definitely in accordance with the conservation of energy. As per the law of conservation of energy, "The total energy of the system remain conserved. The energy can change it's form or can transfer form from one system to another".

So, the entire potential energy of the arrow will get converted into the kinetic energy. That is,

U = KE

KE = 70 J

Thus, we can conclude that the kinetic energy of the arrow after it is being shot is 70 J.

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Yes, it is feasible for the larger force to induce less torque than smaller force when two unequal forces are applied to a rigid body.

Objects making contact each other exert a force on one another known as contact force. The region of direct contact of two objects is where the contact force acts. This force may be brief in the guise of an impulse or it may be continuous as both a continuous force. Newton's Law covers contact force.

Torque = rFsin(θ)

It is feasible for a larger force to generate less torque than a smaller force if it acts at a closer distance than that of the smaller force.

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The large terrestrial planet never formed in the region of the asteroid belt because there was never enough mass there. Thus, option (a) is the answer.

Rocky planetesimals survived in the asteroid belt between Mars and Jupiter because they did not accrete into a planet. Jupiter's gravity, through the influence of orbital resonances, stirred up asteroid orbits and thereby prevented their accretion into a planet.

Jupiter's gravity is so strong, that it makes asteroid orbits within the Kirkwood gaps unstable. It's these gaps that prevented a single planetary body from forming in that region. So, because of Jupiter, asteroids formed into families of debris, rather than a single planetary body.

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When open mouth the wavelengths and the frequencies of the first four harmonics you can produce are 0.16 m and 2,212.5 Hz, 0.08 m and 4,425 Hz,  0.053 m and 6,637.5 Hz, 0.04 m and 8,850 Hz.

When closed mouth the wavelengths and the frequencies of the first four harmonics you can produce are 0.32 m and 1,106.25 Hz, 0.1067 m and 3,318.75 Hz, 0.064 m and 5,531.25 Hz, 0.0457 m and 7,743.75 Hz.

If we open our mouth it will create a tube that opens at both ends.

For the first harmonic

For the second harmonic

For the third harmonic

For the fourth harmonic

If we closed our mouth it will create a tube that one end opens and the other end closed.

For the first harmonic

For the second harmonic

For the third harmonic

For the fourth harmonic

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The puck's kinetic friction coefficient only with shuffleboard court's surface is 0.24.

It is known as a force that exists between moving surfaces as kinetic friction. A force that operates in the opposing direction to the motion of a body on the surface is felt. The percentage of kinetic friction of the two materials will determine the size of the force.

Briefing:

Given  ,The mass of puck is, m = 0.50 kg.

The magnitude of frictional force is, f = 1.2 N.

The force which tends to oppose the motion between an object and the surface is known as frictional force. And its value is,

F= μ × mg

here,   is the coefficient of kinetic friction between the puck and the surface of the shuffleboard court.

Solving as ,

1.2 = u × 0.50 × 9.8

 μ =  [tex]\frac{1.2}{0.50 . 9.8}[/tex]

 μ = 0.24

Thus, we can conclude that the coefficient of kinetic friction between the puck and the surface of the shuffleboard court is 0.24.

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When light passes from one medium to another the speed of the light changes. Therefore, the given statement is false.

Refraction takes place when the light travels from one medium to another medium it changes its speed. Refraction can be defined as the redirection of light as it passes from one medium to another.

The redirection of the light ray causes by the change in the speed of the wave or by a change in the medium. Refraction of light can be observed for sound waves and water also experiences refraction.

Refraction of light obeys Snell's law, according to which the ratio of the sines of the angle of incidence and angle of refraction must be equal to the ratio of the refractive indices of the two media.

[tex]{\displaystyle {\frac{Sin \theta_1}{Sin \theta_2} =\frac{n_2}{n_1}[/tex]

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27.5 m/s. If the average force exerted on the arrow by the bow was increased 3 times and the arrow was accelerated over the same distance

The wavelength of the electromagnetic wave is 0.33m

Frequency = 900 x 10⁶Hz

[tex]Frequency=speed/wavelength[/tex]

[tex]Wavelength=speed/frequency[/tex]

=3 x 10⁸/900 x 10⁶

=0.33m

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Skydiver's acceleration is substantially greater than Earth's acceleration in its direction.

What is acceleration?

The rate at which velocity, measured in terms of speed and direction, changes over time is known as acceleration. Anything is said to have been accelerated when it goes faster or slower in a straight line.

You fall, your descent to the ground quickening. Until the drag from her falling speed due to wind resistance equals the acceleration induced by gravity, this acceleration will continue. Because air resistance, sometimes referred to as drag force, is typically far lower than the normal force of a body, he should continue to accelerate downward. When these forces are balanced, she will attain "terminal velocity," at which point she will cease gaining speed.

He will continue to descend until he opens his chute at the same pace, although the acceleration he experiences at first is due to gravity.

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The Newton's first law is demonstrated over here.

If the wrench is thrown then that wrench will keep on moving in the space.

As we all no space has no gravity and since there is no gravity, hence, no force is applied on that body.

The wrench will move freely in the space and will continue to move in same direction until there is some external force is applied to stop or change its direction.

This shows that over here the Newton's first law is applied.

The Newton's first law states that the body will continue to be in the same state or motion and will not change until the external force is applied on it.

This Newton's first law is also known as law of inertia.

Therefore, the wrench will continue to move in the same direction under the influence of Newton's first law.

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The angular velocity after 11.4s is 52.56 rad/s

[tex]w_{f}=w_{0}+at[/tex]

Given:[tex]w_{0}=2.10,a=4.40,t=11.4[/tex]

[tex]w_{f}=2.10+4.40*11.4\\w_{f}=52.56[/tex]

What is angular velocity?
Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.

What are angular velocity and acceleration?
Angular velocity is the rate of change of angular displacement and angular acceleration is the rate of change of angular velocity.

Are angular velocity and momentum the same?
While linear momentum is P = MV, where M is mass and V is velocity, angular momentum L = Iw, where I is rotational inertia and w (we use w instead of small Omega, the conventional symbol) is angular velocity. Angular velocity is just the angle the mass rotates in an interval of time. w has the units of radians/second.

Thus, the angular velocity is 52.56 rad/s

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The water exists the nozzle at the speed of 5.315 m/s when rate of flow and diameter is given.

Your water flow rate is the measurement of how many gallons of water could potentially come out of your kitchen faucet or bathtub per minute.

Given, Rate of flow= 0.123 l/s = 0.000123 m^3/s

and d= 5.43 mm= 0.00543m

r= 2.715 * 10^-3

Flow rate= water velocity * area of the nozzle

Area of nozzle = π* r²

= 3.14 *( 2.715 * 10^-3)²

= 2.314 * 10^-5

0.000123 = V * 2.314 * 10^-5

Speed at which the water exits= 5.315 m/s

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The net force would cause the velocity of the body to change and it would accelerate.

We know that the force that is acting on a body is a vector quantity. If the force is a vector quantity, the implication of this is that the force would have both a magnitude and direction.

According to the Newton first law of motion, if an object is acted upon by an unbalanced force, the result of this is that the velocity of the object would change and the object would accelerate.

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The speed of the laser beam relative to Tom is 2.95c.

The teenager Sam and Tom are approaching each other with a speed of 0.95c while playing chicken in their rocket.

Sa fires a laser from his rocket towards Tom.

The speed of the laser will be equal to c because it will have the speed of light.

Now, the speed of the the rocket of Sam from the rocket of Tom will be,

V = 0.95c-(-0.95c)

V = 1.95c.

Now, because the laser is fired towards Tom, speed of the laser with respect to Tom will be,

V' = 1.95c - (-c)

V' = 2.95c.

So, the speed of the laser beam relative to Tom is 2.95c.

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2ω is the resistance of the second wire if the resistance of the first is 4ω if two wires have the same length, but the second has twice the diameter of the first.

R= 4ω.

R = ρl/A

2d=r

R2=2ω

Resistance is the capacity of a conductor to obstruct the passage of an electric current through it. It is controlled by the interaction of the applied voltage and the electric current passing through it.

Conductors have very little resistance, whereas insulators have a significant amount of resistance. The resistance increases as the current flow decreases. Resistance is influenced by the properties and dimensions of the material (area of cross section)

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The falling time for objects dropped from rest is 5.19 s. The final speed of the objects before the braking period begins is 50.9 m/s.

falling time for objects is 5.19s

s = ut + - 1/2at²

(d) = (0m/s)t+1/2(g)t²

(-132 m) =

(-9.81 m/s² )T\t²

t = 5.19 s

v = u+ at

v = (0 m/s) +(g)t

v = (-9.81 m/s2 ) (5.19 s)

v=-50.91 m/s

The speed of an item, which is a scalar number in daily use and kinematics, is the size of the change in that object's position over time or the size of  change in that object's position .

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