Find the distance traveled by a particle with position (x, y) as t varies in the given time interval.
x = 5 sin2(t), y = 5 cos2(t), 0 ≤ t ≤ 2

The average speed of the particles in terms of the speed of light is 0.976c. Given that, The particle-X has a lifetime of 256.2.A particle track detector is used to measure the speed of particles. On average, the particles leave 10.6 cm long tracks before they decay into other particles that are not observable by the detector.

The formula to calculate the average speed of the particles is given as;v = d / t Where,v = velocity of the particles, d = distance traveled by the particles, and t = time taken by the particles. The distance traveled by the particles before they decay is 10.6 cm = 0.106 m. The lifetime of the particle is given as 256.2 s. Therefore, time taken by the particle to decay, t = 256.2 s.

The speed of the particles can be calculated as follows; v = d / tv = 0.106 / 256.2v = 4.135 × 10^-4 m/s The speed of the particles in terms of the speed of light can be calculated as follows; Speed of light = 3 × 10^8 m/s Average speed of the particles in terms of the speed of light, v/c= (4.135 × 10^-4) / (3 × 10^8)= 0.976 × 10^-8= 0.976cTherefore, the average speed of the particles in terms of the speed of light is 0.976c.

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Answer:

The smallest part of a chemical compound that has all the properties of that compound is a molecule. A molecule is made up of two or more atoms that are chemically bonded together. Molecules can be made up of atoms of the same element, such as O2 (oxygen gas), or they can be made up of different elements, such as H2O (water). Each molecule has its own unique properties, which are determined by the types of atoms in the molecule and the way they are bonded together.

Answer:

Stars are very massive stellar objects, which means that they have a very intense force of gravity. This is the first of the forces entering this "war".

In addition to that, due to the force of gravity that drives the star to contract, the process known as fusion occurs (the union of atoms of one element that results in another element, hydrogen fuses in stars to produce helium). The fusion created in the high temperatures of the center of the star generates an enormous amount of energy (which causes the stars to shine) and a force going outward of the star counteracting gravity, this is the second force in the "war" .

In a stable star these two forces (gravity going inward and the pressure created by the fusion going outward ) are in balance, preventing the star from exploding or collapsing. But eventually the star exhausts its "fuel" (hydrogen atoms) to produce fusion within it (although stars also fuse helium and other heavier elements, but once the hydrogen is finished the star is near its end), which decreases the force outward from the star, making the force that wins this battle to be the force of gravity.

When the force of gravity wins, the star collapses on itself and from here, depending on the star's mass, several things can happen, such as the star becoming a white dwarf, a supernova, even a black hole.

The life cycle of stars may be boiled down into a tug of war, lasting billions of years, between two basic forces -

Stars are very massive stellar objects and remain the longest in the stage when it is burning Hydrogen into Helium.

Thus,

The life cycle of stars may be boiled down into a tug of war, lasting billions of years, between two basic forces -

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The required distance between the two point charges is calculated to be 0.082 m.So, the correct option is E.

The charges q₁ = 3 × 10⁻⁹ C and q₂ = -5 × 10⁻⁹ C

The magnitude of attractive force is given as 2 × 10⁻⁵ N

The expression for force, charges and distance is given as,

F = k q₁q₂/r²

where,

F is attractive force

q₁, q₂ are the charges

r is the distance between charges

k is coulomb's constant

Entering the values we have by making r as subject.

r² = k q₁q₂/F

r² = 9 × 10⁹(5 × 10⁻⁹)(3 × 10⁻⁹)/(2 × 10⁻⁵)

r² = (135 × 10⁻⁹)/(2 × 10⁻⁵)

r² = 67.5 × 10⁻⁴

r = 8.21 × 10⁻² m = 0.082 m

Thus, the required distance between the two point charges is calculated to be 0.082 m. Correct option is E.

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Answer:

1.806 x 10^24  molecules

Explanation:

1 mole of CO2 has 6.02 x 10^23 molecules

3 mole of CO2 has 3x6.02x10^23 molecuels = 1.806 x 10^24 molecules

The 3 mole of \(CO_{2}\) contains \(1.8066*10^{24}\) molecules.

One mole of \(CO_{2}\) contains \(6.022*10^{23}\) molecules.

In 3 moles of \(CO_{2}\) ,

                              \(=3*6.022*10^{23}=1.8066*10^{24}\) molecules.

Hence, the 3 mole of \(CO_{2}\) contains \(1.8066*10^{24}\) molecules.

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Answer:

Ro = 133 [kg/m³]

Explanation:

In order to solve this problem, we must apply the definition of density, which is defined as the relationship between mass and volume.

\(Ro = m/V\)

where:

m = mass [kg]

V = volume [m³]

We will convert the units of length to meters and the mass to kilograms.

L = 15 [cm] = 0.15 [m]

t = 2 [mm] = 0.002 [m]

w = 10 [cm] = 0.1 [m]

Now we can find the volume.

\(V = 0.15*0.002*0.1\\V = 0.00003 [m^{3} ]\)

And the mass m = 4 [gramm] = 0.004 [kg]

\(Ro = 0.004/0.00003\\Ro = 133 [kg/m^{3}]\)

The average fluid velocity (in m/s) is 3.636 m/s.

The volume of fluid moving past a spot in a given amount of time is measured as the flow rate. Circular and noncircular pipelines both experience fluid flow in daily life.

From the question we have given:

The diameter of the pipe (l) is  3.00 cm or 0.0300 m.

The magnetic field (B) is  0.550 T.

The hall voltage (E) is  60.0 mv or 60 x 10⁻³ v.

  \(v = \frac{E}{Bl}\)

The average fluid velocity can be calculated using the equation E = Blv.

In this instance, the width really corresponds to the diameter:

\(v = \frac{60 \;*\; 10^{-3} \;V}{0.0165\; m} \\\)

\(v = 3.636 \;m/s\)

Thus, the average fluid velocity is 3.636 m/s.

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Answer:

\(Net_{F}\) = 30N - 10N = 20N

Please mark as brainliest!

It is appreciated hope this helps!

Explanation:

I have put what a simple free body force diagram that you would need for this question below!

Just swap out the 5N and 3N with 30N and 10N :)

Force is a vector quantity hence the net force on the object is 20N.

There are generally two categories of quantities in physics; Vector quantities and scalar quantities.

Vector quantities have both magnitude and direction while scalar quantities have only magnitude and no direction. The direction of a vector quantity is as important as its magnitude. Force, velocity and displacement etc are vectors while mass, temperature, distance etc are scalars

We must take cognizance of the fact that the two forces act in "opposite" directions.

In which case, the net force on the object is; 30 N - 10 N = 20 N

The free body diagram of the object is attached to this answer.

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Given that

heat capacity of water = 4200

heat capacity of aluminium = 897

heat capacity of oil = 1900

heat capacity of gold = 129

Heat capacity is the amount of heat a material absorbs to increase its temperature by 1 degree Celsius.

So, larger the heat capacity of a material lower will be the temperature change.

If equal amount of energy is applied to the materials, then gold will have the greatest temperature change as its heat capacity is lowest than other materials.

A position-time graph shows how far an object has traveled from its starting position at any given time since it started moving.

The graph on which the immediate function x of a particle is plotted at the y-axis and the time t on the x-axis is called the position-time graph.

The distinction between them is that the velocity-time graph famous the speed of an item and whether it's miles slowing down or dashing up, whilst the position-time graph describes the motion of an item over a period of time.

Position-time graph and displacement-time graph is same. but each are different from distance-time graph. role-time graph and displacement-time graph may be bad. Distance-time graph can by no means be negative.

The shapes of the position-time graph for these  basic varieties of motion - consistent pace movement and multiplied movement i.e., converting speed - monitor an vital precept. The precept is that the slope of the road on a position-time graph well-known shows beneficial statistics about the speed of the item.

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Answer:

Explanation:

Given :-

Solution :-

Frequency of a wave is given by :

where,

On substituting the values we get :

\(\dashrightarrow \sf F = \dfrac{240}{0.20} \\ \\ \dashrightarrow \rm F = 1200 \: Hz \\\)

Answer:

C) 10000 J

Explanation:

∆p.e =mg∆h

= 2000 × 5

= 10000J

The basic sequence of operation at the beginning of a freezer defrost is: evaporator fans shut off, the compressor shuts off, and heaters come on. Therefore, the correct answer is option B.

A freezer is an appliance that preserves food at temperatures below 0°C by using a refrigerant such as Freon or ammonia. The function of a freezer is to preserve food by keeping it at a temperature below freezing, which prevents the growth of bacteria and other microorganisms that can cause spoilage.

Freezers are also used to make ice, which can be used to keep drinks and other items cold. Additionally, freezers can be used to store frozen foods, such as frozen vegetables, meats, and desserts, which can be thawed and cooked at a later time.

Defrosting a freezer is important as it helps to prevent the buildup of ice on the evaporator coils and ensures the proper functioning of the freezer.

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Option A.  N-type semiconductor uses phosphorus so that electrical conduction is due to the movement of electrons.

An N-type semiconductor is an impurity mixed semiconductor material used in electronics.

The N-type semiconductor uses pentavalent impure atoms like phosphorus and arsenic.

The conduction through an N-type semiconductor is majorly caused by the electrons.

Thus, n-type semiconductor uses phosphorus so that electrical conduction is due to the movement of electrons.

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Answer:

1.8m/s2

Explanation:

force=mass x acceleration

so,

acceleration=force /mass

=45/25

=1.8

In physics, the triangle symbol (∆) typically represents a change or difference in a particular quantity.



A triangle is often used to denote the difference between two values of a variable. For example, if we have two values of time, t1 and t2, the change or difference in time can be represented as Δt = t2 - t1, where Δt is the triangle symbol indicating the change in time. Similarly, it can be used to represent differences in other physical quantities such as displacement (∆x), velocity (∆v), or temperature (∆T). The triangle symbol (∆) is a shorthand notation commonly used in physics to indicate changes or differences.

In terms of change in displacement, the triangle symbol (∆) represents the difference between two positions or locations. It indicates the change in the object's position from an initial point to a final point.

For example, if an object initially starts at position x1 and then moves to position x2, the change in displacement (∆x) can be calculated as ∆x = x2 - x1. Here, ∆x represents the difference or change in the object's displacement.

The magnitude of ∆x gives the overall distance traveled by the object, and its sign indicates the direction of the displacement. A positive ∆x signifies a displacement in the positive direction (e.g., to the right or upward), while a negative ∆x represents a displacement in the negative direction (e.g., to the left or downward).

Therefore, The triangle symbol (∆) is commonly used in physics equations to denote changes or differences in various quantities, including displacement, velocity, time, and more. It helps us analyze and quantify the differences between two values of a physical quantity.

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A) The triathlete's bike is 50.0 m from the shore on the land   B) the component of her distance from the bicycle along the shore is 70.0 m.

In a triathlon, a triathlete starts with swimming, then biking, and ends with running. Here, we have been given that a triathlete on the swimming leg of a triathlon is 120.0 m from the shore (a). The triathlete's bike is 50.0 m from the shore on land (b).

We need to find the component of her distance from the bicycle along the shore. Component of her distance from the bicycle along the shore In the above set, we can see that the triathlete is swimming in a straight line towards the shore, while the bike is on the land. We need to find the component of her distance from the bicycle along the shore. T

his component is represented by the horizontal distance (d) between the point where the swimmer hits the shore and the bike (50.0 m from the shore).Therefore, the component of her distance from the bicycle along the shore is d = 120.0 m - 50.0 m = 70.0 m. Therefore, the component of her distance from the bicycle along the shore is 70.0 m.

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The relationship between Linear Expansivity and Cubic Expansivity is as follows: Cubic / Volume expansivity = 3 Linear expansivity

Now, consider a sheet of metal of Length (l), Breadth (b), and Height (h). Let the initial Length be (l₁), the initial Breadth be (b₁) and the initial Height be (h₁). Let the final Length be (l₂), the final Breadth be (b₂) and the final Height be (h₂) after the metal is heated through a temperature change of θ.

Considering,

the initial volume of the metal be V₁ = l₁*b₁*h₁

and, the final volume of the metal be V₂ = l₂*b₂*h₂

Then,

Using the formula of linear expansivity,

l₂ = l₁ (∝∆θ + 1 )

b₂ = b₁ (∝∆θ + 1 )

h₂ = h₁ (∝∆θ + 1 )

Remember that Volume = l * b*h

Therefore,

V₁ = l₁*b₁*h₁

V₂ = l₂*b₂ *h₂

V₂ =l₁ (∝∆θ + 1 ) * b₁ (∝∆θ + 1 ) * h₁ (∝∆θ + 1 )

V₂ = l₁* b₁*h₁ (∝∆θ + 1 ) * (∝∆θ + 1 ) * (∝∆θ + 1 )

V₂ = l₁* b₁*h₁ ((∝∆θ * (∝∆θ + 1 ) + 1 * (∝∆θ + 1 ) ) * (∝∆θ + 1 )

Let's open the brackets, now we get,

V₂ = l₁* b₁*h₁(∝²(∆θ)² + ∝∆θ + ∝∆θ + 1 ) * (∝∆θ + 1 )

V₂ = l₁* b₁*h₁(∝²(∆θ)² + 2∝∆θ +1 ) * (∝∆θ + 1 )

V₂ = l₁* b₁*h₁(∝²(∆θ)² * (∝∆θ + 1 ) + 2∝∆θ * (∝∆θ + 1 ) +1* (∝∆θ + 1 ) )

V₂ = l₁* b₁*h₁(∝³(∆θ)³ +∝²(∆θ)² + 2∝²(∆θ)² + 2∝∆θ +∝∆θ + 1 )

V₂ = l₁* b₁*h₁(∝³(∆θ)³ +∝²(∆θ)² + 2∝²(∆θ)² + 3∝∆θ + 1 )

V₂ = V₁(∝³(∆θ)³ + 2∝²(∆θ)² + 3∝∆θ+1 )

Remember that ,

V₂ = V₁ ( ϒ * ∆θ + 1 )

Let us substitute for V₂ in the above formula. Then we will get,

V₁ ( ϒ * ∆θ + 1 ) = V₁(∝³(∆θ)³ + 2∝²(∆θ)² + 3∝∆θ+1 )

ϒ * ∆θ + 1 = ∝³(∆θ)³ + 2∝²(∆θ)² + 3∝∆θ+1 (V₁ canceled V₁ and the brackets are removed)

ϒ * ∆θ = ∝³(∆θ)³ + 2∝²(∆θ)² + 3∝∆θ ( 1 cancelled 1 )

At this point,∝ tends to be zero because its value starts from 0.0000... Upward. Therefore,∝² and ∝³ are approximately zero. i.e. ∝² and ∝³ are = 0.

Therefore, we put zero in place of ∝² and ∝³. Now we get,

ϒ * ∆θ = 0*(∆θ)³ + 2*0*(∆θ)² + 3∝∆θ

ϒ * ∆θ = 0 + 0 + 3∝∆θ

ϒ * ∆θ = 3∝∆θ

ϒ = 3∝ ( ∆θ cancelled. ∆θ )

Therefore,

Cubic / Volume expansivity = 3 Linear expansivity

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The latent image in a flat-panel detector is formed by  A. Trapped electrons.

The latent image in a flat-panel detector is formed by trapped electrons.

A flat-panel detector is a type of digital X-ray detector that is commonly used in medical imaging. It consists of an array of detector elements, also known as pixels, that convert X-rays into electrical signals. These electrical signals are then processed to produce a digital image.

When X-rays pass through the detector material, they interact with atoms in the material, causing the release of electrons. These electrons are then trapped in the detector material, creating a temporary electrical charge in the pixels. This charge distribution forms the latent image.

After the exposure is complete, the electrical charges in the pixels are read out and processed to produce the final image. This is done by applying a voltage to the pixels, which causes the trapped electrons to be released and flow to a readout circuit. The amount of charge that is read out is proportional to the X-ray dose that was absorbed by the pixel.

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We are asked to determine the force required to stop a car traveling at a speed of 28 m/s in 5.8s. To do that we will calculate the acceleration of the car first. The acceleration is determined using the following equation:

Where

Since we are calculating the force when the car stops this means that the final velocity is zero:

Now we solve for the acceleration "a", first by subtracting the initial velocity from both sides:

Now we divide by the time "t":

Now we substitute the values:

Solving the operations we get:

Now, we use Newton's second law to determine the force:

Where:

Substituting the value we get:

Solving the operations we get:

Therefore, the required force is -6148.59 Newtons. The negative sign means that the force is acting in the opposite direction of the movement of the car.

The speed of sound in the materials starring with the slowest to the fastest are; outer space, air, water, cold spoon and hot spoon.

Sound is a type of energy made by vibrations. These vibrations create sound waves which move through mediums such as air, water, wood, etc. When an object vibrates, it causes movement in the particles of the medium.

So sound wave is a mechanical wave that requires material medium for its propagation.

Sound wave will travel fastest in solids, so arranging material based on how sound travel in them, starting with the slowest;

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The turntable's angular speed, in rpm, just after this event is 50rpm (using moment of inertia calculation).

It is defined as the tendency of an object to remain in a state of rest or of a constant rotational velocity. Greater the moment of inertia, more torque is required to change this state. Torque in rotational motion plays the same role as force in linear motion.

What is the turntable's angular speed (in rpm) just after this event?

Moment of inertia of the turntable is
I₁ = (M*R²) / 2

= ( 2kg) * (0.2m / 2)² / 2

= 0.01 kg.m²

W₁ = 100 rpm

Moment of inertia when two blocks stick,

I₂ = I₁ + 2m*r²

= 0.01 + 2*(0.5kg)*(0.1m)²

= 0.02

from conservation of angular momentum

L₁ = L₂

I₁ * W₁ = I₂ * W₂

0.01 * 100rpm = 0.02*W₂

W₂ = 50rpm

Therefore, the turntable's angular speed is 50rpm based from the calculation above.

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The new period of oscillation, T_new, will be the same as the original period of oscillation, T_0, which is 3.0s.

When two people of equal mass swing together on the same swing, the period of oscillation changes. The new period of oscillation, T_new, can be calculated using the formula: T_new = 2π * √(L/g_eff)

where L is the length of the pendulum and g_eff is the effective acceleration due to gravity for the system.

In this case, since the two people have equal mass, the length of the pendulum remains the same. However, the effective acceleration due to gravity changes because the weight of the system has doubled.

Therefore, we can use the formula for the effective acceleration due to gravity:

g_eff = (2 * m * g) / (m + m) = g

where m is the mass of each person and g is the acceleration due to gravity.

Substituting into the formula for the period of oscillation, we get:

T_new = 2π * √(L/g)

Since the length of the pendulum remains the same, T_new depends only on the acceleration due to gravity, which does not change when a second person joins the swing.

Therefore, the new period of oscillation, T_new, will be the same as the original period of oscillation, T_0, which is 3.0s.

So the answer is C. Tnew = 3.0s.

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Answer:

If you say it like this (x^10)^10, then it would be x^100.

The final speed of the motorcycle is 67m/s

The first equation of motion deals with final velocity or speed, initial velocity  (velocity of the object before the effect of acceleration), acceleration (the rate of change of velocity with respect to time) and time. To find out the final speed or velocity of the motorcycle we will use the first equation of motion v = u + at , where

v = final velocity

u = initial velocity

a = acceleration

t = time, put the given values in the equation,

v = 25 + 7.0(6.0)

v = 25 + 42

v = 67 m/s

Thus the final speed of the motorcycle is 67m/s.

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Answer:

Year wise Percentage of Attendance in Senior Secondary Schools of India The given graph shows that the percentage of attendance is recorded with a gap of 5 years. The given table depicts, across time, from the year 2000 to 2015. During the 15 years, there is a steady and healthy increase in the percentage of attendance in ll the four types of schools. The increase in Convent-run schools is much higher compared to the other three types of schools. Initially, the village schools show a noticeably poor percentage of attendance and the General English Medium schools show less percentage of attendance compared to the Convent-run schools. All in all the continuous higher percentage indicates that the relevant authorities are learned about improving the education of the country. The poor attendance in the 2010 in the Government-run village schools shows a big leap in the year 2015, indicating that the Government must have taken an effective measure to improve literacy in the villages. Noteworthy increase in the attendance indicates solid infrastructure and focus towards the healthy growth of the corresponding authorities.

Explanation:

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An incandescent light bulb has a power rating of 40 W when connected to a wall outlet of voltage 120 V. The resistance of the filament in the light bulb is 360 Ω. So, option A is correct.

Resistance is a unit of measurement for a material's resistance to the flow of electric current. To put it another way, it refers to how much a substance resists the flow of electricity. A material's resistance is determined by a number of elements, including its physical characteristics (such as length, cross-sectional area, temperature, and composition) and the kind of material it is (e.g., conductor or insulator).

We can use the formula for electrical power to calculate the resistance of the filament:

\(P = \frac{V^2}{R}\)

Where P is the power, V is the voltage, and R is the resistance.

Substituting the given values, we get:

\(40= \frac{(120)^2}{R}\)

Solving for R, we get:

\(R = \frac{(120)^2}{(40)} = 360 \Omega\).

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