In which scenario will the two objects have the greatest gravitational force
between them?
A. Mass of object 1 = 15 kg
Mass of object 2 = 12 kg
Distance between objects = 0.5 m
B. Mass of object 1 = 15 kg
Mass of object 2 = 12 kg
Distance between objects = 1.5 m
C. Mass of object 1 = 12 kg
Mass of object 2 = 12 kg
Distance between objects = 0.5 m
h
O D. Mass of object 1 = 12 kg
Mass of object 2 = 12 kg
Distance between objects = 1.5 m

The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. Acceleration is likewise a vector quantity as it is only the rate of change of velocity.

Speed serves as the baseline for both velocities and acceleration measurements. Speed is a scalar quantity that measures the amount of distance traveled over a period of time. Acceleration and velocity are both vector quantities, which means they both employ magnitudes and a designated direction. The rate of motion of an object is measured by both speed and velocity. The fact that speed is a scalar quantity, nevertheless, means that it can be quantified.

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Answer:

a=25/24 m/s^2

Explanation:

I’m going to assume you mean the final velocity is 25m/s.

v^2=u^2+2as

625=0+2a300

a=25/24 m/s^2 or 1.0416^_ (period 1) ^m

The range of output possible for the plant is 100-500 units per day.

To find the range of output, we need to consider the maximum and minimum cycle times and the total operating time of the plant.

Maximum cycle time = 6 minutes

Minimum cycle time = 1.2 minutes

Operating time per day = 480 minutes

To determine the range of output, we first calculate the number of cycles the plant can complete in a day. Since the maximum cycle time is 6 minutes, the plant can complete a maximum of 480/6 = 80 cycles per day. Similarly, with a minimum cycle time of 1.2 minutes, the plant can complete a minimum of 480/1.2 = 400 cycles per day.

Next, we need to determine the output per cycle. Since the number of units produced in each cycle is not provided in the given information, we cannot determine the exact output per cycle. However, we can still establish a range of possible outputs based on the given options.

Among the given options, the range of 75-250 units per day is outside the feasible range because it is lower than the minimum output of 400 units per day. The range of 80-400 units per day is also incorrect because it does not consider the maximum cycle time of 6 minutes.

The remaining option, 100-500 units per day, is the only range that is consistent with the given information. It accommodates the minimum output of 400 units per day (achieved by running the plant at the maximum cycle time) and allows for higher output up to 500 units per day (achieved by running the plant at the minimum cycle time).

Therefore, the range of output possible for the plant is 100-500 units per day.

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The frequency of the emitted gamma photons is 1.77 x 10^21 Hz.

To calculate the frequency of the emitted gamma photons, we'll need to know the energy of these photons. Once we have the energy, we can use Planck's constant (h) and the energy-frequency relationship to find the frequency.

The energy-frequency relationship is given by:

E = h * f

where E is the energy, h is Planck's constant, and f is the frequency.

Rearranging the equation to solve for the frequency, we get:

f = E / h

Once we have the energy, we can use the given value of Planck's constant (h = 6.6 x 10^–34 Js) to find the frequency of the emitted gamma photons.

The frequency of the emitted gamma photons is 1.77 x 10^21 Hz.

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Answer:

1000 seconds.

Explanation:

Answer:

temperature inside the balloon so it is warmer than the surrounding air

Explanation:

For the balloon to get an uplift , it should be lighter than air . That means the density of the gas inside should be less than the density of air outside . only then ,  weight of the balloon plus the weight of the air inside balloon  will become less than the weight of displaced air outside . This can be achieved by warming up the air inside. Its temperature must exceed that of outside air.

The option that best explain how the pilot can make the balloon rise is option D. The pilot can increase the temperature inside the balloon so it is warmer than the surrounding air

An object will float in air when the density of the object is lower than the density of the air.

Increase in temperature of a gas decreases the density of the gas.

For the pilot to make the balloon rise, he must find a way to make the balloon more lighter than air. To do this, he has to increase the temperature of the balloon.

In this question, the pilot can increase the temperature inside the balloon so it is warmer than the surrounding air in order for the balloon to quickly rise several feet higher above some trees in distance.

Therefore, option D best explain how the pilot can make the balloon rise.

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Answer:

The difference in the concentration of a substance between two areas is called the concentration gradient . The bigger the difference, the steeper the concentration gradient and the faster the molecules of a substance will diffuse. The direction of diffusion is said to be 'down' or 'with' the concentration gradient.

Explanation:

\(\huge \bf༆ Answer ༄\)

First, find the force exerted by the box.

\( \sf \: F = ma \)

The required terms are :

Calculate the force : -

_____________________________________

Pressure can be calculated using this formula : -

The stated terms are :

Calculate the Pressure now : -

\(꧁  \:  \large \frak{Eternal \:  Being } \: ꧂\)

Answer:

  see attached

Explanation:

It will be easier to plot the data if you have grid lines to work with.

In the attached, we had to reverse the order of entries in the table, because the graphing program likes the independent variable listed first.

Answer:

Explanation:

So:

(

5

⋅

1

)

+

(

1

⋅

−

4

)

=

(

5

+

1

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v

5

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6

v

v

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0.17

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s

Different wavelengths of light result in various color perceptions. Whereas violet is perceived by the shortest wavelengths, red is perceived by the longest ones.

Frequency and wavelength are two important characteristics of a wave cycle. A further definition of "wavelength" is the distance between any two matching positions on adjacent waves. Frequency is another word for the number of waves that pass through a specific location in a specific amount of time.

The wavelength is the space between successive crests, whereas the frequency is the quantity of crests that impact the beach per second. The only distinction is that we do so when discussing light rather than water.

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Answer:

it yields a derived unit known as Newton, which is the unit of Force.

Explanation:

The formula for force is given by Newton's Second Law, which states that whenever an unbalanced force is applied to a body, it produces an acceleration in the body in the direction of force.

\(F = ma\\\)

where, F = Force

m = mass

a = acceleration

Now, we substitute the respective S.I units of each quantity in equation:

F = Newton (N)

m = kilogram (kg)

a = acceleration = m/s²

Therefore,

\(N = (kg)(m/s^2)\)

So, it is clear from above expression that:

When kilogram is multiplied by meter per second squared, it yields a derived unit known as Newton, which is the unit of Force.

The object distance from the concave mirror is 30 cm.

To find the object distance from the mirror, we will use the mirror formula:

1/f = 1/do + 1/di

Where f is the focal length, do is the object distance, and di is the image distance. In this case, f = -15 cm (since it's a concave mirror) and di = -10 cm (because it's a virtual image). Now, we can solve for the object distance (do).

Main answer:
1/-15 = 1/do + 1/-10

To solve for do, first find the common denominator, which is 30. Then, rewrite the equation as:

-2/30 = 1/do - 3/30

Next, add 3/30 to both sides:

1/30 = 1/do

Finally, take the reciprocal of both sides to find the object distance:

do = 30 cm

The object distance from the concave mirror is 30 cm.

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The statement "the physician skips hand-washing because she’s in a hurry and just washed her hands in the previous patient visit" is false.

The physician should not skip hand-washing, even if they have recently washed their hands in the previous patient visit. Hand-washing is a critical practice to prevent the spread of infections and ensure patient safety.

Each patient interaction presents a new opportunity for potential cross-contamination and the transmission of pathogens. Even if the physician recently washed their hands, they should still follow proper hand hygiene protocols, including washing hands with soap and water or using hand sanitizer, before and after each patient encounter.

Hand-washing should be performed regardless of time constraints or previous hand hygiene practices.

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Currently, the largest optical telescope mirrors have a diameter of a  20 m , so option d is  is correct.

The largest optical telescope mirrors have a diameter of a 20m.However, please note that technology and advancements in telescope construction are continuously evolving, so it's possible that larger telescope mirrors have been developed since then. It's always a good idea to consult the latest sources or refer to current astronomical news for the most up-to-date information.An optical telescope is a telescope that gathers and focuses light mainly from the visible part of the electromagnetic spectrum, to create a magnified image for direct visual inspection, to make a photograph, or to collect data through electronic image Therefore option d is correct option.

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Answer:

A Peak

B Period

C 1/2 Period

D Trough

E Period

F 1/2 Period

Explanation:

Science

There are 1.307 ions located along the [111] direction per nm. This is the linear density of ions along the [111] direction in zinc blende.

Zinc blende has a face-centered cubic (FCC) structure, meaning that the lattice points are located at the corners and centers of each cube face. Each lattice point represents an ion (either Zn or S) in the crystal.

The [111] direction is a diagonal direction that passes through the center of each cube face. To calculate the linear density of ions along this direction, we need to determine how many ions are located along this diagonal per unit length.

Using the lattice constant (a) of zinc blende, which is approximately 0.54 nm, we can calculate the distance between two adjacent lattice points along the [111] direction.

The [111] direction passes through the center of each cube face, so the distance between two adjacent lattice points along this direction is equal to the diagonal of a square face of the cube. Using the Pythagorean theorem, we can calculate this diagonal distance:

d = √(2) * a

d = 0.765 nm

Therefore, there are 1.307 ions located along the [111] direction per nm. This is the linear density of ions along the [111] direction in zinc blende.

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Answer:

392 Newtons

Explanation:

In order to find the weight, you have to multiply the mass by the gravitation constant (9.8), which gives us 40.0 * 9.8 = 392 Newtons.

The force on each charge will be 5 N. The electric force in case 2 is obtaining the value from case 1.

The force of attraction between two charges, according to Coulomb's law, is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

The electric force is found as;

\(\rm 20 = \frac{Kq^2}{1^2} \\\\ Kq^2=20\)

The force on each charge in case 2 is found as;

\(\rm F= \frac{20}{2^2} \\\\ F= \frac{20}{4} \\\\ F= 5 \ N\)

Hence, the force on each charge will be 5 N.

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The final temperature of the mixture is closest to 32.5 °C

Heat loss = Heat gain

MᵥᵥC(Tᵥᵥ – Tₑ) = M꜀C(Tₑ – M꜀)

50 × 4.184 (40 – Tₑ) = 30 × 4.184(Tₑ – 20)

209.2(40 – Tₑ) = 125.52(Tₑ – 20)

Clear bracket

8368 – 209.2Tₑ = 125.52Tₑ – 2510.4

Collect like terms

8368 + 2510.4 = 125.52Tₑ + 209.2Tₑ

10878.4 = 334.72Tₑ

Divide both side by 334.72

Tₑ = 10878.4 / 334.72

Tₑ = 32.5 °C

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Answer:

The energy conversion is:

C) Chemical - - - - > Thermal.

a. To calculate the probability of a defect, we need to find the area under the normal distribution curve that falls outside the control limits of 11.664 and 12.336 ounces. We can calculate the z-scores for these limits as follows:

\(z_1 = (11.664 - 12) / 0.14 = -2.4\)

\(z_2 = (12.336 - 12) / 0.14 = 2.4\)

Using a standard normal distribution table or calculator, we can find that the probability of a defect is approximately 0.0115 (to 4 decimals).

To find the expected number of defects in a production run of 1000 parts, we can use the formula for the binomial distribution:

\(P(X = k) = C(n, k) \times p^k \times (1-p)^{(n-k)}\)

where P(X = k) is the probability of exactly k defects in a run of n parts, p is the probability of a single defect (0.0115 in this case), and C(n, k) is the binomial coefficient (the number of ways to choose k defects from n parts).

For k = 0, 1, 2, ..., we can calculate the probabilities and add them up to find the expected number of defects:

E(X) = sum(k=0 to n) [ P(X = k) ] = n * p

Substituting n = 1000 and p = 0.0115, we get:

\(E(X) = 1000 \times 0.0115 = 11.5\)

So we can expect to find approximately 12 defects (to the nearest whole number) in a production run of 1000 parts.

b. With a reduced process standard deviation of 0.12, the z-scores for the control limits remain the same as in part a:

\(z_1 = (11.664 - 12) / 0.12 = -2.8\)

\(z_2 = (12.336 - 12) / 0.12 = 2.8\)

Using a standard normal distribution table or calculator, we can find that the probability of a defect is approximately 0.0004 (to 4 decimals).

To find the expected number of defects in a production run of 1000 parts, we can use the same formula as in part a:

\(E(X) = n \times p\)

Substituting n = 1000 and p = 0.0004, we get:

\(E(X) = 1000 \times 0.0004 = 0.4\)

So we can expect to find approximately 0 defects (to the nearest whole number) in a production run of 1000 parts.

However, it's important to note that this assumes the process is operating exactly at the mean weight of 12 ounces and there is no other source of variation. In practice, there may still be some small amount of variation that could result in a few defects.

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The force corresponds to the question mark in the given figure is known as Gravity. Hence, option (C) is correct.

The given problem is based on the concept of equilibrium of forces. The forces that causes the net motion of an object to be zero, is known as equilibrium of force.

Thus, we can conclude that the force corresponds to the question mark in the given figure is known as Gravity. Hence, option (C) is correct.

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If the energy input to an electric motor is 560J/s and 170J/s of energy is transferred to thermal energy when in use, the efficiency of the motor would be

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

As given in the problem If the energy input to an electric motor is 560J/s and 170J/s of energy is transferred to thermal energy when in use,

Useful energy = electrical energy - thermal energy lost

                        =560 J/s - 170 J/s

                        = 390 J/s

the efficiency of the motor = useful energy /electrical energy ×100

                                            = 390/560 ×100

                                            =69.64%

Thus, the efficiency of the motor would be 69.64%.

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Physics lab helium has the special property that its internal energy is directly proportional to its absolute temperature. If we consider a flask of helium with a temperature of 2c, then after the helium is heated until it has twice the internal energy, its temperature will be 4°C.

We need to understand that the internal energy of helium is directly proportional to its absolute temperature. This means that if the internal energy is doubled, the absolute temperature will also double.

Given that the flask of helium initially has a temperature of 2°C, we need to determine the temperature after it is heated until it has twice the internal energy.

Since the internal energy is directly proportional to the absolute temperature, we can set up a proportion to solve for the new temperature:

       Initial temperature / Initial internal energy = Final temperature / Final internal energy

Plugging in the values, we have:

       2°C / Initial internal energy = Final temperature / 2 times Initial internal energy

Cross-multiplying, we get:

       2°C * 2 times Initial internal energy = Final temperature * Initial internal energy

Simplifying further, we have:

       4 times Initial internal energy = Final temperature * Initial internal energy

Now, we can cancel out the Initial internal energy:

       Final temperature = 4

Therefore, after the helium is heated until it has twice the internal energy, its temperature will be 4°C.

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Answer:

Height of cliff = S = 20 m (Approx)

Explanation:

Given:

Initial velocity = 8 m/s

Distance s = 16 m

Starting acceleration (a) = 0

Computation:

s = ut + 1/2a(t)²

16 = 8t

t = 2 sec

Height of cliff = S

Gravitational acceleration = 10 m/s

S = 1/2a(t)²

S = 1/2(10)(2)²

Height of cliff = S = 20 m (Approx)

Answer:

They generate electricity by contact.

Explanation:

The observation presented by the question above shows an example of electricity generated by the contact, which can also be called triboelectrification. This type of electricity is created when two objects made of different materials come into contact with each other, and that contact is interrupted soon afterwards, as occurs when someone, wearing woolen socks, walks over the carpet.

For triboelectrification to occur, it is necessary that at least one of the objects involved is electrically charged. This object, when in contact with another object, will transfer electrons carrying the neutral object, until the two objects have the same electrical potential. When interrupting the contact between the objects, the two are left with equal loads of energy.

Explain how an echo is made?

➜ An echo is a sound that is repeated because the sound waves are reflected back. Sound waves can bounce off smooth, hard objects in the same way as a rubber ball bounces off the ground. Although the direction of the sound changes, the echo sounds the same as the original sound.

Why are echos heard sometimes but not others?

➜ So, the reason that echoes aren't heard in rooms is that the reflected sounds are received in less than 0.1 seconds, or the reflecting surfaces are at distances of less than 17 meters. Reverberations can also be heard in an empty apartment.

Answer:

An echo is a sound that is repeated because the sound waves are reflected back. Sound waves can bounce off smooth, hard objects in the same way as a rubber ball bounces off the ground. Although the direction of the sound changes, the echo sounds the same as the original sound. Some echoes are not heard because if you have stuff in an empty room it will interfere with the sound waves and stop them from making an echo also if there are soft objects the sound wave will be absorbed and not make an echo.