A particle executes simple harmonic motion between x = -A to +A. The time taken by it to go from 0 to A/2 is \(t_{1}\) and from A/2 to A is \(t_{2}\) then:

(a) \(t_{1} \ \textgreater \ t_{2}\) (b) \(t_{1}\ \textless \ t_{2}\) (c) \(t_{1} = t_{2}\) (d) \(t_{1} = 2 t_{2}\)

Answer:

c. divides by 4 the gravitational force between them

Explanation:

Newton's law of gravity says:

 F1 = G(m1*m2)/r^2

where G is the gravitational constant, m1 and m2 are the masses of objects 1 and 2, and r is the distance between the two masses.

Doubling the distance would result in:

The new distance would be = 2r

F2 = G(m1m2)/(2r)^2

F2 = G(m1m2)/4r^2

F2 = (1/4)(G(m1m2)/r^2)

F2 = (1/4)F1

The new force, F2, at twice the distance is 1/4 that of the original force, F1.

The synchronous speed of a Y-connected induction motor with a voltage of 208 V, power rating of 10 hp, six poles, 60 Hz, and a full-load slip of 5 percent is 1200 revolutions per minute.

The synchronous speed (Ns) of an induction motor can be calculated using the formula:

Ns = (120 * f) / P

Where:

Ns is the synchronous speed in revolutions per minute (rpm)

f is the frequency of the power supply in hertz (Hz)

P is the number of poles in the motor

In this case, the frequency is given as 60 Hz and the motor has six poles. Substituting these values into the formula, we have:

Ns = (120 * 60) / 6 = 1200 rpm

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The period of the pendulum on the surface of Mars, where g = 3.71m/s², would be the same as the period on Earth, 1.70s.  The pendulum on the surface of Mars has a period of roughly 3.31 seconds, according to our calculation of this expression.

A basic pendulum's period is determined by the equation T = 2(L/g), where T is the period, L is the pendulum's length, and g is the acceleration brought on by gravity.

L = (T/(2))2g can be solved for on Earth with a period of 1.70s by rearranging the equation.

Using the same equation and the Mars surface gravity, g = 3.71m/s2, we can now get the period on Mars' surface: T\(_{mars}\) = 2(L/g\(_{mars}\)).

The equation T\(_{mars}\) = 2(((T/(2))2g)/(g\(_{mars}\))) is obtained by substituting the expression for L and the surface gravity of Mars.

T\(_{mars}\) = T(g/g_Mars), to simplify the formula.

T\(_{mars}\) = 1.70s(9.81m/s2 / 3.71m/s) is the result of plugging in the data. The pendulum on the surface of Mars has a period of roughly 3.31 seconds, according to our calculation of this expression.

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Answer:

The depth of the object below the surface of the liquid is 0.510 meters.

Explanation:

The hydrostatic pressure (\(P\)), measured in pascals, experimented by the object is directly proportional to density of the fluid (\(\rho\)), measured in kilograms per cubic meter, gravitational acceleration (\(g\)), measured in meters per square second, and depth of the object (\(h\)), measured in meters. That is:

\(P = \rho\cdot g \cdot h\) (1)

If we know that \(P = 4500\,Pa\), \(\rho = 900\,\frac{kg}{m^{3}}\) and \(g = 9.807\,\frac{m}{s^{2}}\), then the depth of the object is:

\(h = \frac{P}{\rho\cdot g}\)

\(h = \frac{4500\,Pa}{\left(900\,\frac{kg}{m^{3}} \right)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}\)

\(h = 0.510\,m\)

The depth of the object below the surface of the liquid is 0.510 meters.

The depth of the object below the liquid's surface will be

"0.510 m".

According to the question,

Object immersed, P = 4500 Pa

Density of liquid, ρ = 900 kg/m³

Acceleration due to gravity, g = 9.8 m/s²

We know the relation,

→ Hydrostatic pressure (P) = ρ.g.h

or,

Depth will be:

→ h = \(\frac{P}{\rho .g}\)

By substituting the values,

     = \(\frac{4500}{900\times 9.8}\)

     = \(\frac{4500}{8820}\)

     = 0.510 m

Thus the above answer is appropriate.  

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a. 58.7 Å its tube diameter a.

b. we get v₀ ≈ 0.446 nm³. This is smaller than the published value of v₀ ~ 0.740 nm³.

c. The length of the confining tube L can be expressed as L ≈ bN/Ne.

(a) To estimate the tube diameter a for poly(methyl acrylate) (PMA) with an entanglement molecular weight Me of ~11 kg/mol, we can use the relation Me = πa^2/ρ, where ρ is the mass density. Rearranging for a, we get a = sqrt(Me * ρ/π). Substituting the given values (Me = 11,000 g/mol and ρ = 1.11 g/cm³), we get a ≈ 58.7 Å.
(b) To estimate the volume of the Kuhn monomer v₀, we can use the formula v₀ = M₀/ρ, where M₀ is the Kuhn molar mass (495 g/mol). Substituting the given values,  Using the value Pe = 21, we can estimate the entanglement molecular weight Me' = Pe * M₀ ≈ 10,395 g/mol, which is close to the given Me ~ 11 kg/mol.
(c) To calculate the reptation time τ for the polymer chain, we can use the formula τ = ξ₀N²b²/Ne, where ξ₀ is the monomer friction coefficient (3 x 10⁻¹⁰ g/s). We don't have the values for N and Ne in the given problem, but the formulas provide a method to determine the length of the tube and the reptation time for the polymer chain once those values are known.

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Answer:

35

Explanation:

total magnification = eyepiece lens x objective lens

TM = 10X x 25X

TM = 250X

Answer:

Part A

The power to turn on the lamp, ∑P = 3.36 W

Part B

The Resistor required is approximately 8.04 Ohms

Part C

The time for all the lights to go out is approximately 21.43 hours

Explanation:

The input voltage of the motor battery , V = 12 V

The capacity of the battery, Q = 6 Ah

The number of lamps in parallel = 8 lamps

The maximum voltage of each lamp,  = 3 V

The electric current in each lamp = 140 mA

The energy available in a battery, E = Q × V

For the battery, we have;

E = 6 Ah × 12 V = 72 Wh

The energy available in a battery, E = 72 Wh

Part A

The power used by the lamps, \(P_i\) = \(I_i\) × \(V_i\)

∴ The total power used by the lamp, ∑P = 8 × 0.14 A × 3 V = 3.36 W

The power to turn on the lamp, ∑P = 3.36 W

Part B

The resistance required, is given as follows;

Resistor required = (Battery voltage - Lamp voltage)/(The sum of bulb current)

∴ Resistor required = (12 V - 3 V)/(8 × 0.14 A)

The Resistor required = 8.03571429 Ohms

The Resistor required ≈ 8.04 Ohms

Part C

The time for all the lights to go out = The time for the lamps to use all the power available in the battery

The time for all the lights to go out, t = E/∑P

∴ t = 72 Wh/(3.36 W) = 21.4285714 h

∴ The time for all the lights to go out, t ≈ 21.43 h

The time for all the lights to go out = The time for the lamps to use all the power available in the battery = t ≈ 21.43 h

∴ The time for all the lights to go out ≈ 21.43 hours.

The velocity of the wave is defined by the product of wavelength and frequency. The velocity of a wave with a length of 10 m and frequency of 5hz will be 50 m/sec.

The velocity of the wave is defined by the product of wavelength and frequency. It is obtained from the formula of the wavelength which is given by;

\(\rm \lambda=\frac{v}{f} \\\\ \rm v = \lambda \times f \\\\ \rm v = 10 \times 5 \\\\ \rm v = 50\ m/sec\)

Hence the velocity of a wave with a length of 10 m and frequency of 5hz will be 50 m/sec.

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The value of moment of Inertia of the solid cylinder will be 0.19 kg/m^2

Any item that can be rotated has the property of rotational inertia. It is a scalar value that indicates how challenging it is to alter an object's rotational velocity around a certain rotational axis. The role of mass in linear mechanics is analogous to that of rotational inertia in rotational mechanics.

The formula I = 1/2 [M (R_2^2 + R_1^2)] may be used to calculate the moment of inertia of a hollow cylinder revolving along an axis passing through the centre of the cylinder. The cylinder in this instance will have a mass of M and internal and exterior radii R1 and R2, respectively.

The cylinder's moment of inertia about its axis is (MR^2)/2.

Where, M - mass of object, R = radius of the cylinder.

After putting all the values. we will get,

\(=\frac{27 \mathrm{~kg} \cdot(0.24 \mathrm{~m} / 2)^2}{2} \approx 0.19 \mathrm{~kg} \cdot \mathrm{m}^2\)

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Answer:

Rubbing Alcohol

Explanation:

To close a circuit, current flow is required. The electrons follow one another from one end to the other. The circuit's lack of current is caused by an open switch.

What is current?

The movement of electrons within an electric circuit is referred to as current. The initial flow of electrons is primarily caused by a potential difference.Current is represented by I.

SI unit for current is the ampere.

In a home, the circuit is set up so that a switch controls the flow of electricity. There is no electricity flow, glow light, or electrical application when the switch is in the off position.

The difference in electric potential between two points is known as voltage. Simply put, current is the rate at which electric charge flows.

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Answer:

Momento = 170.8 Kgm/s

Explanation:

Dados los siguientes datos;

Masa = 3,05 kg

Velocidad = 56 m/s

Para encontrar el impulso;

El momento se puede definir como la multiplicación (producto) de la masa que posee un objeto y su velocidad. El momento se considera una cantidad vectorial porque tiene magnitud y dirección.

Matemáticamente, el momento viene dado por la fórmula;

\( Momento = masa * velocidad \)

Sustituyendo en la fórmula, tenemos;

\( Momento = 3.05 * 56 \)

Momento = 170.8 Kgm/s

Answer:

\(m_B > m_A\)

the mass of body B must be greater than the mass of body A

Explanation:

Newton's second law establishes a linear relationship between the force, the mass of the body and its acceleration

        F = m a

        a = F / m

Let's analyze this expression tells us that the force is of equal magnitude for the two bodies, but body A goes faster than body B, this implies that it has more relationships

         a_A > a_B

         \(\frac{F}{m_A} > \frac{F}{m_B}\)

         \(m_B > m_A\)

Therefore, for this to happen, the mass of body B must be greater than the mass of body A

The force used to propel the shell would be 8125N at 12.5kg mass and 650m/s speed.

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Isaac Newton's three laws of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the concept of force (1687).

Motion and force play significant roles in daily living. Students will discover how these physical factors affect their lives and careers as they study this unit. Students will learn about forces like friction, gravity, and magnetic force from the lessons and activities.

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The fewer the number of substitutes for a good, the less elastic the demand.

The concept of elasticity measures the responsiveness of demand or supply to changes in price. When there are fewer substitutes available for a particular good, consumers have limited alternatives to switch to if the price of that good increases. As a result, the demand for the good becomes less elastic, meaning that the quantity demanded is less responsive to changes in price.

In this scenario, option (a.) is correct. When there are fewer substitutes for a good, consumers have a more limited range of choices, making them less likely to respond strongly to changes in price. On the other hand, if there are many substitutes available, consumers have more flexibility to switch to alternative goods if the price of one particular good increases, resulting in a more elastic demand.

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the complete question is

The fewer the number of substitutes for a good: (a.) the less elastic the demand. b. the more elastic the demand.easenoni vtitnsu c. the more elastic the supply. sesetoeb yliinau d. the less elastic the supply

Answer:

A 60Hz refresh rate means that the screen is refreshing itself 60 times every second, and at 120Hz, it's refreshing itself 120 times every second.

Explanation:

In other to avoid a situation where their differences, pride, and personalities caused them to compete and publicly insult one another instead of working together they need to respectfully consider the viewpoints of each other, as well as assign individual roles that should be respected.

Explanation:

This graph shows the acceleration of a racehorse taking off from the starting gate. By 27m/sin horse’s speed increase between 4 seconds and 6 seconds?

Answer: Special Software

Explanation:

It's the only reasonable answer since B and D don't make sense. Also, a Xerox machine is used for duplicating images and documents.

Cameron likely uses special software help her check for fakery in photography. Hence, option (A) is correct.

Software is a collection of computer programs along with supporting files and information. Hardware, on the other hand, is what the system is made of and what actually does the work.

Executable code is the lowest level of programming and is made up of machine language instructions that are supported by a single processor, usually a central processing unit (CPU) or a graphics processing unit (GPU). Machine language is made up of collections of binary values that represent processor instructions that alter the previous state of the machine.

Hence, Cameron likely uses special software help her check for fakery in photography. Hence, option (A) is correct.

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Answer:

Explanation:

A stretching routine should target most of the main muscles in the body and at least one stretching exercise per section of the body. Also in a work environment since individual's sizes, ages, and cultures vary you should design a routine that is for beginners and very easy and effective. Regardless, each individual should be able to move at their own pace and push as far as they are physically able. One such routine would be the one in the attached picture below which targets all major areas, is easy and effective. It starts at the neck muscles and works its way down the arms, back, and legs.

Answer:

The answer is "Y → X → Z".

Explanation:

In this question, the chart is missing and the question is not complete that's why we search this question and only give its correct answer that's is defined above, and please find the complete question in the attached file.

Answer:

The angle of incidence is the angle between this normal and the incident ray; the angle of reflection is the angle between this normal and the reflected ray. According to the law of reflection, the angle of incidence equals the angle of reflection.

Explanation:

:)

Answer:

hope my answer helps

Explanation:

second law of reflection states that the angle of incidence equals to the angle of reflection,

this is the basic relationship,

so the angle of incidence is also equals to angle of reflection

hope this helps, if not please report it so that someone else gets to try it out

please mark it brainliest

The radius of the cylinder is approximately 2.19 m, and the cylinder is experiencing a deceleration of approximately 1.86 m/s². Since the cylinder is decelerating and the force applied is less than the friction force, it is not slipping.

From the given information:

Mass of the cylinder, m = 5 kg

Moment of inertia of the cylinder, I = 12 kg·m²

Diameter of the cylinder, D = 0.5 m

Force applied, F = 25 N

Coefficient of friction, μ = 0.7

Radius of the cylinder, r = ?

To determine the radius (r) of the cylinder, we can use the relationship between moment of inertia (I) and mass (m) for a solid cylinder:

I = (1/2) * m * r²

Given I = 12 kg·m² and m = 5 kg, we can solve for r:

12 = (1/2) * 5 * r²

r² = 12 / (1/2) * 5

r² = 12 / 2.5

r² = 4.8

r ≈ √4.8

r ≈ 2.19 m

So, the radius of the cylinder is approximately 2.19 m.

Now, let's determine the acceleration of the cylinder. The force applied is given as F = 25 N. The friction force can be calculated using the equation:

Friction force = μ * Normal force

Since the cylinder is being pulled by the string, the normal force is equal to the weight of the cylinder, which is given by:

Weight = mass * acceleration due to gravity

Weight = m * g

Assuming a standard acceleration due to gravity of 9.8 m/s²:

Weight = 5 kg * 9.8 m/s² = 49 N

Friction force = μ * Normal force = μ * Weight = 0.7 * 49 N = 34.3 N

Now, we can calculate the net force acting on the cylinder:

Net force = Force applied - Friction force

Net force = 25 N - 34.3 N

Net force = -9.3 N

Since the net force is negative, indicating that the force applied is less than the friction force, the cylinder will experience a deceleration rather than acceleration. The magnitude of the deceleration can be calculated using Newton's second law:

Net force = mass * acceleration

-9.3 N = 5 kg * acceleration

acceleration = -9.3 N / 5 kg

acceleration = -1.86 m/s²

The negative sign indicates that the deceleration is in the opposite direction to the force applied, which means the cylinder is moving in the direction opposite to the applied force.

Hence, the radius of the cylinder is approximately 2.19 m, and the cylinder is experiencing a deceleration of approximately 1.86 m/s². Since the cylinder is decelerating and the force applied is less than the friction force, it is not slipping.

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The answer is W = 1.06 MJ.

Now develop and express of Force required:

                                            F = p*V*g

                                            F = 1000*(2*0.5*x*8*dx)*g

                                            F = 78480*x*dx

- Now, the work done is given by:

                                   W = F.s

Where s is the distance from the top of the hose to the differential volume:

                                        s = (5 - x)

We have the work as follows:

                              dW = 78400*x*(5-x)dx

Now integrate the following express from 0 to 3 till the tank is empty:

 W = 78400*(2.5*x^2 - (1/3)*x^3)

 W = 78400*(2.5*3^2 - (1/3)*3^3)

 W = 78400*13.5 = 1058400 J

To find the weight of water, begin by way of finding the density(1 kg/L at 39.2°) and the extent of water. Convert the volume of water to liters after which multiply by way of the density to discover the burden.

Density is useful in calculating the load of materials which can be tough to weigh. you may decide its weight without a doubt with the aid of multiplying the density by using the dimensions, or quantity, of the item.

The unique weight, additionally called the unit weight, is the weight in keeping with the unit quantity of cloth. A typically used value is the precise weight of water in the world at 4 °C (39 °F), which is nine.807 kilonewtons consistent with cubic meters or 62. 43 pounds-force in keeping with cubic foot.

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Answer:

velocity is the rate of change of distance moved with a time in a specific direction. While speed is the rate if distance with time in no specific direction

a) The power input to the compressor in the Carnot refrigeration cycle, in order to supply 2 kW of cooling to the room, will depend on the efficiency of the cycle and the heat transfer involved.

b) The net power input to the cycle can be determined by considering the work done by the compressor and the work done on the system.

a) To calculate the power input to the compressor, we need to determine the heat transfer from the groundwater to the room. The Carnot refrigeration cycle is an idealized cycle, and its efficiency is given by the equation: Efficiency = 1 - (T_evaporator / T_condenser), where T_evaporator and T_condenser are the temperatures at the evaporator and condenser, respectively. Using this efficiency, we can calculate the heat transfer from the groundwater and convert it to power input.

b) The net power input to the cycle takes into account the work done by the compressor and the work done on the system. It can be calculated by subtracting the work done by the compressor from the heat transfer from the groundwater. The work done by the compressor can be determined using the power input calculated in part a), and the heat transfer from the groundwater can be obtained using the given temperatures and the specific heat properties of the refrigerant.

Overall, the Carnot refrigeration cycle involves several calculations to determine the power input to the compressor and the net power input to the cycle, considering the heat transfer and work done in the system.

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There is direct relationship between harmonics and resonance frequency.

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