What beat frequencies are possible with tuning forks of frequencies 255, 258, and 260 hz ?

The cost of using 50 W for one day or 24 hours is  dollar 0.12. The cost of using 800 W for 1 hour is 0.08 dollar.

Power is the rate of work done energy of  an object. Given that the cost of using 1 KWhr energy is dollar 0.10.

Then cost of using 50 W  or 0.05 KW in 24 hours is

0.05 × 24 ×  0.10  = 0.12 dollar

Cost of using 800 W or 0.08 KW per hour is 0.08 KWhr × 0.10 = dollar 0.08

Similarly, the cost of using 150 W in one month is find as follows:

150 W = 0.15 KW

energy used  = 0.15 × 30 × 24 hrs

cost = 0.15 × 30 × 24 hrs × 0.10 = dollar 10.8

The energy causing a cost of 2.5 dollar is 2.5/0.10 = 25 KWhr

power = 25 KWHr/24 hrs = 1.04 KW.

The energy causing a cost of 4 dollars is 4/0.10 = 40 KWhr

power =40 KWHr/24 hrs = 1.6 KW.

The energy causing the cost of 3 dollars  = 3/0.10 = 30 KWhr

then time = 30/100 W = 0.3 hr.

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Answer\(:0.178\ m/s^2\)

Explanation:

Given

Amirul starts from rest(u=0) to reach Boon chun house which is 80\ m away from School

acceleration of Amirul is given by

\(s=ut+\frac{1}{2}at^2\)

Where

s=displacement

u=intial velocity

a=acceleration

t=time

here \(t=30\ s\)

Substituting values we get

\(80=0+\frac{1}{2}\times a\times (30)^2\)

\(a=\frac{2\times 80}{900}\)

\(a=\frac{160}{900}=0.178\ m/s^2\)

The percent by mass of 238U in the rock is approximately 0.14%.

To determine the percent by mass of 238U in the rock, we need to use the radioactive decay equation and the concept of half-life. The given information states that the half-life of 238U is 4.5 * 10⁹ years.

The decay constant (λ) is determined by the equation:

λ = ln(2) / t(1/2)

where ln denotes the natural logarithm and t(1/2) is the half-life. Plugging in the values:

λ = ln(2) / (4.5 * 10⁹)

λ ≈ 0.154 x 10⁻⁹ year⁻¹

The number of decays per second (dis/s) can be determined by the equation:

dis/s = λ * N

where N is the number of radioactive nuclei present. Since the mass of the rock is given as 1.6 g, we can use Avogadro's number to convert it to the number of atoms:

N = (1.6 g / molar mass of 238U) * Avogadro's number

Substituting the values and using the molar mass of 238U:

N ≈ (1.6 / 238) * 6.022 x 10²³

N ≈ 4.06 x 10²¹ atoms

Now, substituting the values into the equation for dis/s:

dis/s = 0.154 x 10⁻⁹ * 4.06 x 10²¹

dis/s ≈ 6.25

To find the percent by mass, we divide the mass of 238U by the mass of the rock and multiply by 100:

Percent by mass = (mass of 238U / mass of rock) * 100

Since the number of decays per second is 29, and each decay corresponds to one 238U atom, the mass of 238U can be calculated as:

mass of 238U = (dis/s / λ)

mass of 238U ≈ 6.25 / 0.154 x 10⁻⁹

mass of 238U ≈ 4.06 x 10⁹ g

Now, substituting the values into the equation for percent by mass:

Percent by mass = (4.06 x 10⁹ / 1.6) * 100

Percent by mass ≈ 0.14%

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Answer:

The DNA molecule is a polymer of nucleotides. Each nucleotide is composed of a nitrogenous base, a five-person sugar (deoxyribose), and a phosphate group There are four nitrogenous bases in DNA, two purines (adenine and guanine) and two pyrimidines (cytosine and thymine). A DNA molecule is composed of two strands.

Answer:

C

Explanation:

The force on any of the back of the given dam is 2.352 x \(10^{11}\) N.

Force is an outside agent able to converting a body’s nation of relaxation or movement. It has a importance and a path. The path toward which the pressure is carried out is called the path of the pressure, and the utility of pressure is the factor wherein pressure is carried out.

Force is an vital idea because it impacts movement. It may be described as an interplay that modifications the movement of an item if unopposed. But the easy definition of pressure is that it's far the rush or pull skilled via way of means of any item. Force is a vector quantity, hence it has each importance and path. Therefore, one has to specify each the path and the importance to explain the pressure appearing on an item.

The Force may be measured the usage of a spring balance. The SI unit of pressure is Newton(N).

The area is 1200 m x 200 m = 240,000 m²

The average pressure is Pave = ρ x g x have

where  ρ is the density, g is the gravity, and have is the average height.

Pave = (1000 kg/m³)(9.8 m/s²)(100 m) = 980,000 Pa

Solving the hydrostatic force using the formula F = P x A,

F = (980,000 Pa)(240,000 m²) = 2.352 x \(10^{11}\) N.

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Answer:  Atoms are electrically neutral because they have equal numbers of protons (positively charged) and electrons (negatively charged). If an atom gains or loses one or more electrons, it becomes an ion.

The heating of air inside the balloon causes the volume to expand (Charles's Law), resulting in a decrease in the pressure compared to the surrounding air (Boyle's Law).

Hot-air balloon flight can be explained by the combined principles of Charles's Law, Archimedes' Principle, and Boyle's Law.

Charles's Law states that the volume of a gas is directly proportional to its temperature, assuming the pressure remains constant. In the case of a hot-air balloon, the air inside the balloon is heated, causing the gas molecules to move faster and increase in temperature. As a result, the volume of the gas expands, leading to an increase in the volume of the balloon.

Archimedes' Principle states that an object immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the object. In the context of a hot-air balloon, the heated air inside the balloon is less dense than the surrounding cool air. The buoyant force acting on the balloon is equal to the weight of the air displaced by the balloon. This buoyant force is greater than the weight of the balloon itself and the payload, causing the balloon to rise.

Boyle's Law states that the pressure of a gas is inversely proportional to its volume, assuming the temperature remains constant. When the air inside the balloon is heated, the volume increases. As a result, the pressure inside the balloon decreases relative to the surrounding air pressure. The pressure difference creates a net upward force, contributing to the balloon's ascent.

In summary, the combined effects of Charles's Law, Archimedes' Principle, and Boyle's Law explain hot-air balloon flight. The heating of air inside the balloon causes the volume to expand (Charles's Law), resulting in a decrease in the pressure compared to the surrounding air (Boyle's Law). The buoyant force (Archimedes' Principle) acting on the less dense heated air allows the balloon to rise.

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The lunar phase that occurs one week after the first quarter is :

It takes about 4 weeks for the moon to complete its cycle of phases. After every 1 week the moon undergoes one quarter (1/4) of its phase/cycle. Therefore the primary lunar phase that the moon will undergo one week after the first quarter is the Third quarter phase before the full moon

During the third quarter phase, half of the moon is completely illuminated in comparison to the other half ( first quarter ). this phase is the last phase before the full moon.

Hence we can conclude that The lunar phase that occurs one week after the first quarter is : Third quarter phase.

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Answer:

2.5m/s²

Explanation:

a = v/t

Where;

V = velocity (m/s)

a = acceleration (m/s²)

t = time (s).

According to the information provided in this question,

a = ?

v = 10m/s

t = 4

a = 10/4

a = 2.5m/s²

Answer:

1.96m/s^2

Explanation:

According to Newtons second law;

F = ma

a = F/m

a = nR/m

a = nmg/m

a = ng

n is he coefficient of friction = 0.2

g  = 9.8m/s^2

a = 0.2 * 9.8

a = 1.96m/s^2

Hence the acceleration of the box is 1.96m/s^2

Answer:

When a proton is placed directly in the path of the proton cannon, it will experience a strong electromagnetic force. The proton cannon emits a beam of protons at high energy and velocity. When the proton in the path of the cannon interacts with the beam, there will be a collision between the two protons.

During the collision, the protons may undergo a process called scattering, where they change direction and momentum. The exact outcome of the collision depends on the energy and angle of the incoming proton, as well as the properties of the target proton. It is possible that the protons may scatter off each other, transferring energy and momentum in the process.

In some cases, the collision may result in the absorption of the incoming proton by the target proton. This can lead to the formation of a more massive particle or the emission of other particles. The specifics of the interaction will depend on the energy and conditions of the proton cannon and the characteristics of the protons involved.

Overall, placing a proton directly in the path of a proton cannon will result in a collision and potential scattering or absorption of the protons, causing changes in their momentum and possibly leading to the creation of other particles.

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(a) The budget constraint can be written as: C = wL + V, where C is consumption, w is the real wage, L is leisure, and V is non-labor market income.

(b) With ẞ = 1/2, V = 100, and w = 200, John's optimal supply of labor cannot be determined without information about his preferences for leisure and consumption. The utility function only represents his preferences, but we need additional information to determine the specific amount of labor he would choose to supply.

(c) John's total income is the sum of his labor income and non-labor market income: Total income = Labor income + Non-labor income = wL + V. Without knowing the specific value of L, we cannot calculate the total income.

(d) Similarly, without knowing John's preferences for leisure and consumption, we cannot determine the specific level of consumption he would choose.

(e) In the case where John is subject to a 10% income tax on labor income only, his new optimal supply of labor would depend on the tax rate's impact on his preferences and the trade-off between leisure and consumption. Without further information on his preferences and the specific tax structure, we cannot determine the new optimal supply of labor.

Additional information about John's preferences for leisure and consumption, as well as the specific tax structure, is necessary to calculate his optimal labor supply, total income, consumption, and the impact of the income tax on his labor supply.

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Answer:

Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. This is in contrast to plasticity, in which the object fails to do so and instead remains in its deformed state.

Explanation:

Answer:

It is false

Explanation:

because when it like a rolling ball it can deform no matter what unlesss you throw it at the ground really hard then it breaks but a soft or sometimes metal yeah it can deform but not all things solid deform.

Answer:

I'm fairly certain it's 1,800

Explanation:

The efficiency of the wedge with force F=900 N displaces the wedge 0.10 m is 55.55%  or 56%.

The efficiency of the machine equals the ratio of output energy and input energy. It is also defined as the ratio of work done on a load by the machine to the work done on the effort by the machine.

A load is defined as the weight lifted by the machine. The effort is defined as the force applied to bring the desired change in the load. Work done is defined as the product of force and displacement.

The efficiency, η = Output power / Input power, and the highest efficiency of the machine is equal to one. The efficiency of the machine has no unit. The efficiency η = (Actual work done / Ideal work done) × 100.

From the given,

Force = 900 N

Displacement = 0.1 m

Work done = F × s = 900×0.1 = 90 J

Actual work done = 50 J

Efficiency,η = (50/90) × 100

           η  = 55.55 %

Thus, the efficiency of the wedge is 55.56%.

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Answer:

A) 20.8 m/s

B) h_max = 11 m

Explanation:

A) Formula for projectile range is;

R = (u²sin2θ)/g

We want to find initial velocity, so let's make u the subject.

u = Rg/sin2θ

We are given;

R = 44 m

θ = 45°

Thus;

u = √[(44 × 9.8)/sin 2(45)]

u = √[431.2/sin 90]

u = 20.77 m/s ≈ 20.8 m/s

B) maximum height will be gotten from the formula;

h_max = (R tan θ)/4

h_max = (44 × tan 45)/4

h_max = (44 × 1)/4

h_max = 11 m

Given that the mass of catapult, m = 18900 kg

The initial velocity is

As the body is at rest initially.

The final speed is

The time taken is t = 3.3 s

We have to find the force.

According to Newton's second law, the formula to calculate force is

Substituting the values, the force will be

Thus, the force is 349363.63 N

the force between the two wires if they are separated by 2.50 cm is 0.525 N.

Given that force F between two parallel wires carrying electric currents is inversely proportional to the distance d between the wires and that a force of 0.750 N exists between wires that are 1.75 cm apart and that we are supposed to find the force between them if they are separated by 2.50 cm.

Let the initial force be F₁ and the initial distance be d₁.

Therefore, we can write the relationship between force and distance as;

F₁d₁ = F₂d₂

Where

;F₁ = 0.750 N (initial force)

d₁ = 1.75 cm (initial distance)

F₂ = ? (force at new distance)

d₂ = 2.50 cm (new distance)

Let us find F₂;F₁d₁ = F₂d₂F₂ = F₁d₁/d₂

Now substitute the values we know;

F₂ = (0.750 N x 1.75 cm) / 2.50 cmF₂ = 0.525 N

Therefore, the force between the two wires if they are separated by 2.50 cm is 0.525 N.

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Answer:

The combined mass of the two stars is 2.9417 solar masses.

Explanation:

The mathematical expression for Kepler's third law is;

                        \(P^{2}\) = \(\frac{4\pi ^{2} }{k^{2} (M_{1} + M_{2} }a^{3}\)

Where: P is the period in days, a is the semimajor axis in AU, \(M_{1}\) is the mass of the first star, \(M_{2}\) is the mass of the second star and k is the Gaussian gravitational constant.

Given that;

P = 10 years = 3670 days (including two leap years)

a = 6.67 AU

k = 0.01720209895 rad

\(\pi\) = \(\frac{22}{7}\)

The sum of the masses of the two star can be determined by;

\((M_{1} + M_{2})\) = \(\frac{4\pi ^{2} }{P^{2}k^{2} } a^{3}\)

                = \(\frac{4*(\frac{22}{7}) ^{2} } {(3650)^{2} * (0.01720209895)^{2} } (6.67)^{3}\)

                = \(\frac{11724.29601}{3942.2904}\)

               = 2.9417 solar masses

Thus the combined mass of the two star is 2.9417 solar masses.

Explanation:

friction always acts in the opposite direction as motion.

Answer: A

Explanation:

Answer:

B = 0.157 T

Explanation:

Given that,

Length of the solenoid, l = 8 cm = 0.08 m

Number of turns in the wire, N = 2000

Current, I = 5 A

We need to find the strength of the magnetic field at the center of the solenoid. It is given by the formula as follows :

\(N=\mu_o nI\), N is number of turns per unit length of solenoid.

So,

\(B=4\pi \times 10^{-7}\times \dfrac{2000}{0.08}\times 5\\\\=0.157\ T\)

So, the magnetic field at the center of the solenoid is 0.157 T.

Answer:

A. A motor

Explanation:

Answer:

W= m*g

5.4=9.8*m

mass = 0.55

From the calculation and based on the Pythagoras theorem, the monkey will climb 4.5 m.

The Pythagoras theorem is based on the sides of the right angled triangle. It states that the square of the longest side is equal to the square of the other two sides.

Thus;

c= √3^2 + 3.4^2

c = 4.5 m

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If  f : G → H  is an isomorphism and  g : H → S  is an isomorphism , then there is an isomorphism  g∘ f : G → S .This is one of the reasons that isomorphism is an equivalence relation on the set of groups; this is simply the transitive property.

An isomorphism is an invertible map between two entities that maintains the relevant structure or structures. Depending on the structures we want to maintain, the same two entities can be isomorphic to one another or not. An inverse mapping can reverse an isomorphism, which is a mapping between two structures of the same type that preserves structure. If an isomorphism can be found between two mathematical structures, they are said to be isomorphic. The words "isomorphism" and "equal" come from the Ancient Greek and mean "form" or "shape," respectively.

Because two isomorphic things share the same features, isomorphisms are interesting (excluding further information such as additional structure or names of objects). As a result, isomorphic structures can be recognized even when viewed solely from the perspective of structure. When an isomorphism cannot be identified, one states that two objects are identical. Two objects are said to be identical up to an isomorphism in mathematical jargon.

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The power of lens is 55.55 D (diopter).

The ability of a lens to bend the light falling on it is called the power of a lens.

                                   Power = 1/ Focal length

Given focal length is 18 mm = \(18 * 10^{-3} m\)

Putting this value in above equation we get Power = 55.55 D

So the power of lens is 55.55 D (diopter).

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Answer:

539 N

Explanation:

The force of gravity (also known as weight) on an object can be calculated using the formula:

F = m * g

where F is the force of gravity, m is the mass of the object, and g is the acceleration due to gravity.

For a 55 kg person on the surface of the earth, the acceleration due to gravity is approximately 9.8 m/s^2. Therefore, the force of gravity can be calculated as:

F = 55 kg * 9.8 m/s^2 = 539 N

So, the force of gravity on a 55 kg person on the surface of the earth is approximately 539 N.