A bicycle tire of a radius of 0.44 m has a piece of gum stuck on its rim. What is the angle through which the tire rotates when the gum has moved through a linear distance of 1.87 m? Express your answer in radians and degrees.

The neutron number of an atom X, which undergoes alpha, and beta decay reduces the neutron number by 6.  

Alpha decay is the nuclear process in which the parent nucleus emits an alpha or helium particle to form a daughter nucleus. When a particle emits an alpha nucleus, the nucleus loses its two protons and two neutrons. Beta decay is the nuclear process in which the parent nucleus undergoes the emission of electrons to produce a daughter nucleus.

Alpha decay decreases the atomic mass number decreases by 4 and the atomic number decreases by 2. In beta decay, the neutron is converted into a proton and the atomic number decreases by one. The neutron number is affected by alpha decay.

From the given,

X atom undergoes alpha decay. X -----> ₐ₋₂Xᵇ⁻⁴ + He₂⁴. The neutron number decreases by two.  ₐ₋₂Xᵇ⁻⁴ ----->    ₐ₋₂₋₂Xᵇ⁻⁴⁻⁴ + He₂⁴. The neutron number decreases by two.

When the X atom undergoes beta decay, ₐ₋₄Xᵇ⁻⁸---> ₐ₋₅Xᵇ⁻⁸ + ₋₁e⁰. The neutron number does not get affected. When the atom again undergoes alpha decay,  ₐ₋₅Xᵇ⁻⁸ ----->  ₐ₋₇Xᵇ⁻¹². Thus, the neutron number decreases by 6 when the atom undergoes three alpha decay.

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Answer:

the particle is at coordinates (18,15/2)

Explanation:

To find the acceleration of the particle, we can use the formula for velocity: v = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time. Since we know the initial and final velocities, as well as the time interval, we can solve for the acceleration:

a = (v - v0)/t = [(9i + 7j) - (3i - 2j)]/3 = (6i + 9j)/3 = 2i + 3j

So the acceleration of the particle is a = 2i + 3j m/s².

To find the coordinates of the particle at t=3s, we can use the formula for position: r = r0 + v0t + 1/2at², where r0 is the initial position. Since the particle starts at the origin, r0 = 0. Plugging in the values we have:

r = 0 + (3i - 2j)(3) + 1/2(2i + 3j)(3)² = 9i - 6j + 9i + 27/2 j = 18i + 15/2 j

We can use the kinematic equations of motion to solve this problem.

Let the acceleration of the particle be a = axî + ayj.

(a) Using the equation of motion v = u + at, where u is the initial velocity:

f = v = u + at

Substituting the given values, we get:

(91+7j) = (3î-2j) + a(3î + 3j)

Equating the real and imaginary parts, we get:

91 = 3a + 3a (coefficients of î are equated)

7 = -2a + 3a (coefficients of j are equated)

Solving these equations simultaneously, we get:

a = î(23/6) + j(1/2)

So the acceleration of the particle is a = (23/6)î + (1/2)j.

(b) Using the equation of motion s = ut + (1/2)at^2, where s is the displacement and u is the initial velocity:

At t = 3s, the displacement of the particle is:

s = ut + (1/2)at^2

Substituting the given values, we get:

s = (3î-2j)(3) + (1/2)(23/6)î(3)^2 + (1/2)(1/2)j(3)^2

Simplifying, we get:

s = 9î + (17/2)j

So the coordinates of the particle at t=3s are (9, 17/2).

Answer:

Hello! Your answer would be, O False

Explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby

Answer:

False is the correct answer.

Explanation:

plz mark me as brainliest.

The vector product of A=2.00i+3.00j+1.00k and B=1.00i-3.00j-2.00k is C=9.00i+4.00j-9.00k.

To find the vector product (also known as the cross product) of two vectors, A and B, we can use the following formula:

C = A × B

Where C is the resultant vector, A and B are the given vectors, and × denotes the cross product.

Given A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k, we can substitute these values into the formula to find the vector product:

C = (2.00i + 3.00j + 1.00k) × (1.00i - 3.00j - 2.00k)

Now, let's expand the cross product using the properties of vector products:

C = (2.00i × 1.00i) + (2.00i × -3.00j) + (2.00i × -2.00k) +

   (3.00j × 1.00i) + (3.00j × -3.00j) + (3.00j × -2.00k) +

   (1.00k × 1.00i) + (1.00k × -3.00j) + (1.00k × -2.00k)

Now, let's calculate each of these cross products:

C = (2.00 × 1.00) \(i^2\) + (2.00 × -3.00) i × j + (2.00 × -2.00) i × k +

   (3.00 × 1.00) j × i + (3.00 × -3.00) \(j^2\) + (3.00 × -2.00) j × k +

   (1.00 × 1.00) k × i + (1.00 × -3.00) k × j + (1.00 × -2.00) \(k^2\)

Since i × j = k, j × k = i, and k × i = j, we can simplify the expression further:

C = 2.00k - 6.00i + 4.00i - 9.00j + k - 3.00j - 2.00j - 2.00k

Combining like terms, we get:

C = (2.00i + 4.00i) + (-6.00i - 9.00j - 3.00j) + (2.00k + k - 2.00k)

Simplifying further:

C = 6.00i - 12.00j + k

Therefore, the vector product of A and B is C = 6.00i - 12.00j + k, which can be written as C = 9.00i + 4.00j - 9.00k in terms of i, j, and k.

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The vector product of A and B is -3i - 5j - 9k.

The vector product, also known as the cross product, of two vectors A and B is denoted as A x B. It is a vector that is perpendicular to both A and B. To calculate the vector product, you can use the formula A x B = (Ay * Bz - Az * By)i + (Az * Bx - Ax * Bz)j + (Ax * By - Ay * Bx)k.

In this case, we have A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k. Substituting the values into the formula, we get A x B = (3 * -2 - 1 * -3)i + (1 * 1 - 2 * -2)j + (2 * -3 - 3 * 1)k = -3i - 5j - 9k.

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If the impulse is strong enough and lasts for a sufficient amount of time, the go-kart will eventually come to a stop.

Option A is correct.

impulse is described as the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector quantity.

If the force is insufficient to stop the go-kart entirely, it will slow down but continue to move. The force and duration of the impulse, along with the mass and speed of the go-kart, will all affect how much deceleration occurs.

Given that momentum plus impulse equals zero, the go-kart's change in momentum as a result of the impulse will be equal in amount but will move in the opposite direction of its original momentum.

As a result, the go-kart's final momentum will be zero, suggesting that it has either stopped or is travelling very slowly.

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Answer:

The equation v – = v 0 + v 2 v – = v 0 + v 2 reflects the fact that when acceleration is constant, v – v – is just the simple average of the initial and final velocities.

Explanation:

Explanation:

265 000 000 yrs /  700 000 yrs/reversal = 378.6 reversals

                                                            (round as appropriate)

Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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Here are two examples of changes that can be created by thermal energy through friction:

1. Heating of materials: When two surfaces rub against each other, the friction between them can create heat. This is because the motion of the surfaces creates frictional forces that cause the atoms in the surfaces to vibrate and generate heat energy.

2. Wear and tear: Another change that can be created by thermal energy through friction is wear and tear on surfaces. When two surfaces rub against each other, the frictional forces between them can cause the surfaces to wear down over time.

Thermal energy is the energy that comes from the heat of a substance. It is a type of kinetic energy that is generated by the movement of atoms and molecules within a material. The faster the atoms and molecules are moving, the more thermal energy the substance has.

Nuclear fission and nuclear fusion are two different processes that involve the release of energy from the nucleus of an atom. Comparing and contrasting, we have:

1. Nuclear fission is the process in which the nucleus of an atom is split into two or more smaller nuclei, releasing a large amount of energy in the process. While nuclear fusion is the process in which two or more smaller atomic nuclei combine to form a larger nucleus, also releasing energy in the process.

2. Nuclear fission is typically fueled by heavy elements such as uranium-235, which is easily split apart by neutrons. Nuclear fusion, on the other hand, is typically fueled by light elements such as hydrogen.

3. Nuclear fission releases a large amount of energy per reaction, typically on the order of millions of electron volts (MeV). Nuclear fusion releases even more energy per reaction, typically on the order of billions of electron volts (GeV).

4. Nuclear fission produces radioactive waste, which can remain hazardous for thousands of years and must be carefully stored and disposed of. Nuclear fusion produces little to no radioactive waste, making it a potentially cleaner and safer source of energy.

5. Nuclear fission can pose a significant safety risk if not properly controlled, as demonstrated by accidents such as the Chernobyl and Fu-kushima disasters. Nuclear fusion, on the other hand, has not yet been demonstrated at a scale that would pose a significant safety risk.

6. Nuclear fission is a mature technology that has been used to generate electricity for decades, but it still faces public concerns regarding safety and waste disposal. Nuclear fusion, while a promising technology, is still in the experimental stage and has not yet been demonstrated at a commercial scale.

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Levi will take 19.23 seconds to accelerate uniformly to a stop, leaving 3 meters between Chimdi and his bumper.

To determine how long it will take for Levi's car to accelerate uniformly to a stop, we need to calculate the time it takes for the car to cover the distance between Chimdi and his bumper.

The initial distance between Levi's car and Chimdi is 99 meters, and he wants to leave 3 meters between them when the car comes to a stop. Therefore, the total distance the car needs to cover is 99 meters - 3 meters = 96 meters.

We also know that the car is traveling at a speed of 10 m/s. However, we need to convert this speed to meters per second squared (m/s²) to calculate the time for acceleration.

Let's assume the car decelerates uniformly. We can use the equation:

v^2 = u^2 + 2as,

where v is the final velocity (0 m/s since the car comes to a stop), u is the initial velocity (10 m/s), a is the acceleration, and s is the distance.

Rearranging the equation, we have:

a = (v^2 - u^2) / (2s)

a = (0^2 - 10^2) / (2 * 96)

a = -100 / 192

a ≈ -0.52 m/s²

The negative sign indicates deceleration.

Now, we can use the equation:

v = u + at,

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

Substituting the known values, we have:

0 = 10 + (-0.52) * t

Simplifying, we find:

0 = 10 - 0.52t

0.52t = 10

t ≈ 19.23 seconds

Therefore, it will take approximately 19.23 seconds for Levi's car to accelerate uniformly to a stop, leaving 3 meters between Chimdi and his bumper.

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Approximately 0.123 kg of liquid water at 26 degrees Celsius would be needed to melt 41 grams of ice.

To calculate the minimum amount of liquid water required to melt 41 grams of ice at 0°C, we need to consider the energy required for the phase change from solid to liquid, which is known as the specific heat of fusion of ice.

The energy required to melt 1 kg of ice is 3.33×105 J/kg.

Therefore, the energy required to melt 41 grams of ice is (3.33×105 J/kg) × (41/1000) kg = 13653 J.

To calculate the amount of liquid water required, we use the specific heat capacity of water, which is 4180 J/kg/°C.

Assuming the initial temperature of water is 26°C, the amount of water needed can be calculated as (13653 J) ÷ (4180 J/kg/°C) ÷ (26°C) = 0.123 kg or approximately 123 ml of water.

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When the liquid cools down, it loses heat energy.

As the liquid cools, it loses heat energy. As a result, its particles slow down in movement and come closer to one another. Attractive forces begin to hold particles and the crystals of a solid form.

If water is cooled, it can change into ice. If ice is warmed, it can change into a liquid state. Heating a substance makes the molecules move very fast whereas cooling a substance makes the molecules move very slowly.

Heating a liquid increases the speed of the molecules present in it. An increase in the molecule's speed competes with the attraction between molecules and results in the molecules moving apart whereas Cooling a liquid decreases the movement of the molecules.

So we can conclude that the liquid cools down when it loses heat energy.

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Answer:

The water cycle shows the continuous movement of water within the Earth and atmosphere. It is a complex system that includes many different processes. Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow.

Explanation:

Answer:

C. 4736J

Explanation:

The mechanical energy of ball is the sum of its kinetic energy and potential energy at any point;

 Mechanical energy  = kinetic energy + potential energy

Given:

kinetic energy  = 2000J

potential energy  = 2376J

So;

 Mechanical energy  = 2000J + 2376J  = 4736J

Answer:

3.16 m·s⁻¹ at an angle of 71.6°  

Explanation:

Assume that the diagram is like Fig. 1 below.

The boat is heading straight across the river and the current is directed straight downstream.

We have two vectors at right angles to each other.

1. Calculate the magnitude of the resultant

We can use the Pythagorean theorem (Fig. 2).

R² = (3 m·s⁻¹)² + (1 m·s⁻¹)² = 9 m²·s⁻² + 1 m²·s⁻² = 10 m²·s⁻²

R = √(10 m²·s⁻²) ≈ 3.16 m·s⁻¹

2. Calculate the direction of the resultant

The direction of the resultant is the counterclockwise angle (θ) that it makes with due East .

tanθ = opposite/adjacent = 3/1 = 3

θ = arctan 3 = 71.6°

To an observer at point O, the velocity of the boat is 3.16 m·s⁻¹ at an angle of 71.6°.

The energy transferred in Joules by the radio when it has been switched on for 2 minutes would be 6000 Joules.

Power is defined as the rate of energy transfer or the rate at which work is done, and is given by the equation:

Power = Energy transferred / Time

Rearranging the equation to solve for energy transferred, we get:

Energy transferred = Power x Time

We are given:

Power = 50 W

Time = 2 minutes = 120 seconds

Therefore, the energy transferred by the radio when it has been switched on for 2 minutes is:

Energy transferred = Power x Time = 50 W x 120 s = 6000 J

In other words, the energy transferred by the radio is 6000 Joules.

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Answer:

To solve this problem, we can use the equation for rotational motion:

Δθ = (1/2) α t^2 + ω0 t

where Δθ is the change in angle, α is the angular acceleration, t is the time, and ω0 is the initial angular velocity.

In this case, we know that the initial angular velocity is 0 (since the blade is at rest), the final angular velocity is 80.0 rev/s, and the number of revolutions is 240.0 rev. We can use these values to find the angular acceleration:

ωf = ω0 + αt

80.0 rev/s = 0 + α(240.0 rev)

α = 80.0 rev/s / 240.0 rev

α = 1/3 rev/s^2

Now that we know the angular acceleration, we can use the moment of inertia and the torque equation:

τ = Iα

where τ is the torque, I is the moment of inertia, and α is the angular acceleration.

Substituting the given values, we get:

τ = (1.41×10^-3 kg.m^2)(1/3 rev/s^2)

τ = 4.70×10^-4 N.m

Therefore, the net torque the motor must apply to the blade is 4.70×10^-4 N.m.

Answer:

A

Explanation:

Answer:

b. the amplitude increases

Explanation:

because that's not wave

The instantaneous velocity at 250,000 years is; 5 mm/year

The Finite Velocity for the entire million year timespan is; 2mm/year

The instantaneous velocity is simply defined as the rate of change of displacement with time which is the velocity at a specific period of time.

We are told that the velocity at 250,000 years is 5 mm/year.

Thus;

Instantaneous velocity = 5 mm/year

Finite velocity for the entire 1 million year timespan is;

v = 2000000/1000000

v = 2 mm/year

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The kilogram is an SI base unit that makes up part of the unit of energy, therefore the correct answer is option D

A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.

The base SI units are meter, kilogram, second, kelvin, ampere, candela, and mole

The unit of energy is Joules which is equivalent in mks unit as Kg m²s⁻²

Thus, The kilogram is an SI base unit that makes up part of the unit of energy, therefore the correct answer is option D

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The voltage supplied to the wire is 120 volts.

To calculate the voltage supplied to a wire, we can use Ohm's Law, which states that voltage (V) is equal to the product of current (I) and resistance (R). Mathematically, this relationship is expressed as V = I * R.

In this case, the wire has a resistance of 1200 Ω (ohms) and a current of 0.10 amps. We can substitute these values into the formula to find the voltage:

V = I * R

V = 0.10 A * 1200 Ω

V = 120 A * Ω

Therefore, the voltage supplied to the wire is 120 volts.

It's important to note that Ohm's Law holds true for resistors and other components in a circuit that obey Ohm's Law. In real-world scenarios, there may be other factors to consider, such as the presence of non-ohmic devices or components with varying resistance.

Additionally, in an AC (alternating current) circuit, the relationship between voltage, current, and resistance may involve complex quantities and phase differences. However, for a simple DC (direct current) circuit with a linear resistor, Ohm's Law provides an accurate relationship between voltage, current, and resistance.

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(a) The normal force of the wooden box of mass 25 kg is 245 N (b) The friction force of the wooden box of mass 25 kg is 49 N.

The normal force is an everyday force that is felt when a surface pushes against an object that is placed on that surface.

To find the normal force of the wooden box, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

(b) Similarly, to calculate the friction force, we use the formula below.

Fromula:

Where:

From the question,

Given:

Substitute into equation 2

Hence, (a) The normal force is 245 N (b) The friction force is 49 N.

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The horizontal component of the force is 21.06 N. If there is no friction acting on the wagon, the acceleration of the wagon will be 0.87 m/s². The normal force acting on the wagon is approximately 392 N.

Friction is a kind of force that resist the motion of an object when the object comes in contact with a rough surface. The resistive force always have the negative sign.

The horizontal component of a force  Fh = F sin θ

given angle of inclination is 37 then,

F = 35 N

Fh = 35 sin 37

    = 21.06 N

According to second law of Newton , F = ma

m = 40 kg

then acceleration a = F/m

a = 35 N/40 kg  

  =  0.87 m/s².

The normal force acting on the wagon = mg

N = 40 kg × 9.8 m/s² = 392 N.

Therefore, the normal force acting on the wagon is near 380 N.

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Given:

The angle of projection of the basketball, θ=35°

The height at which the ball leaves the hand, h=7 ft

The initial velocity of the basketball, v=20 ft/s

To find:

The parametric equations describing the shot.

Explanation:

The range, x of the basketball is given by,

On substituting the known values,

The change in the height, y of the basketball is given by,

Where g is the acceleration due to gravity.

On substituting the known values,

Final answer:

The parametric equations describing the shot are

Answer:

Lithium does not occur as the metal in nature. Is found combined in small amounts in nearly all igneous rocks and in the waters of many mineral springs. Spodumene, petalite, lepidolite, and amblygonite are the more important minerals containing lithium.

Lithium can be found in Lithium-ion batteries, some heat-resistant glass and ceramics, some grease lubricants, and some anti-depressant medications.

Answer:

There will be no tides

Explanation:

Note that, an isolated system does not allow:

• the exchange of energy

• the exchange of matter

Therefore, in an isolated system, neither

hea

Explanation:

Yes, there are differences in the shapes of position-time graphs for uniform acceleration and uniform deceleration in different directions. Let's consider each case separately:\(\hrulefill\)

(1) - Uniform acceleration towards the positive direction:

In this case, the object is moving in the positive direction with a constant acceleration. The displacement-time graph will typically be a curve that starts from an initial position and shows a steady increase in displacement over time. The shape of the graph will depend on the specific acceleration value.

(2) - Uniform acceleration towards the negative direction:

In this case, the object is moving in the negative direction with a constant acceleration. The displacement-time graph will also be a curve, but it will show a steady decrease in displacement over time.

(3) - Uniform deceleration towards the positive direction:

In this case, the object is initially moving in the positive direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a positive slope and gradually levels off.

(4) - Uniform deceleration towards the negative direction:

In this case, the object is initially moving in the negative direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a negative slope and gradually levels off.