3 general relevant psychology related problems at present

As a result, when Andrew is moving at a speed of 31 m/s, his momentum is 2077 kg*m/s.

Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kilogrammes-meters squared per second squared if the mass is measured in kilogrammes and the velocity is measured in metres per second.

An object's mass (m) and velocity (v) can be multiplied to find its momentum (p), which is written as:

p = m * v

Given that Andrew's mass is 67 kg and his velocity is 31 m/s, his momentum can be calculated as:

p = 67 kg * 31 m/s

p = 2077 kg*m/s

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Question:

Andrew is riding his bike up a hill. At some point, he stops and rests at the top of the hill. He then turns around and starts riding down the hill. When he reaches a velocity of 31 m/s, calculate his momentum. Andrew's mass is 67 kg.

The type of dispersion in the Debye model is linear.

When it is at the longer wavelength limit, the density of states is referred to as quadratic.

D(ω) = [3ω²/2π²c³] s rad⁻¹m⁻³

This has a maximum frequency ωD, known as the Debye frequency. In the three dimensions, there are 3 degrees of freedom per atom.

So, the number of phonon modes present here is 3n.

3n = (0→ωD)∫D(ω)dω

Where n is known as the atomic density of the phonon.

We know that, for a frequency that is above the Debye frequency there will be no phonon modes present.

The Debye frequency,

ω³D = 6π²nc³

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Explanation:

The gravitational force equation is the following:



Where:

G = Gravitational constant = 

m1 & m2 = the mass of two related objects

r = distance between the two related objects

The problem gives you everything you need to plug into the formula, except for the gravitational constant. Let me know if you need further clarification.

Answer:

voltage divider,  R₂ = 1000 R₁

measuring the output in the resistance R₁

Explanation:

Let's analyze the situation, in an op amp in open gain loop, the gain is maximum G = 10⁶ V / V

in this case the signal generator gives a minimum wave of 1 10⁻³ V, after passing through the amplified it becomes 10³ V which saturates the oscilloscope.

To solve this problem we must use a simple voltage divider, for this we use the fact that in a series circuit the voltage is the sum of the voltages of each element.

If we use two resistors whose relationship is

            R₂ / R₁ = 10³

            R₂ = 1000 R₁

When measuring the output in the resistance R₁ we have the desired divider, with a tolerance range, for the minimum output of the generator (1 10⁻³V) we have a reading of V = 1 V in the oscilloscope, for which we can use voltage up to 10V on the generator

The forces that act are;

b)950 Kg

c) 522.5 N

d) 9,500 N

e) 4015 N

f) 9,500 N

g)3444 N

When we talk about the free body diagram, we want to show the diagram that is incorporating all the forces that do act on the object as it is moving down the plane in the object.

b) The mass of the box is; Weight/ acceleration due to gravity = 9500 N/10 m/s^2

= 950 Kg

c) The net force is obtained as mass * acceleration = 950 Kg * 0.55 m/s^2

= 522.5 N

d) The normal force is the weight of the object which is 9,500 N

e) The applied force is obtained as mgsinθ = 950 * 10 * sin 25

= 4015 N

f) The force of gravity is the weight of the box = 9,500 N

e) The frictional force is; μmg cosθ = 0.4 * 950 * 10 * cos 25

=3444 N

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intersex (more specific term: hermaphroditism) might be what you're looking for

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

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Answer:

Explanation:

Earth is our home planet. Scientists believe Earth and its moon formed around the same time as the rest of the solar system. They think that was about 4.5 billion years ago. Earth is the fifth-largest planet in the solar system. Its diameter is about 8,000 miles. And Earth is the third-closest planet to the sun. Its average distance from the sun is about 93 million miles. Only Mercury and Venus are closer.

What Are Earth's Different Parts?

Earth consists of land, air, water and life. The land contains mountains, valleys and flat areas. The air is made up of different gases, mainly nitrogen and oxygen. The water includes oceans, lakes, rivers, streams, rain, snow and ice. Life consists of people, animals and plants. There are millions of species, or kinds of life, on Earth. Their sizes range from very tiny to very large.

Below Earth's surface are layers of rock and metal. Temperatures increase with depth, all the way to about 12,000 degrees Fahrenheit at Earth's inner core.

Earth's parts once were seen as largely separate from each other. But now they are viewed together as the "Earth system." Each part connects to and affects each of the other parts. For example:

   Clouds in the air drop rain and snow on land.

   Water gives life to plants and animals.

   Volcanoes on land send gas and dust into the air.

   People breathe air and drink water.

Earth system science is the study of interactions between and among Earth's different parts.

Answer:

1. G.P.E = 24 J

2. center of mass

Explanation:

Given the following data;

Mass = 2kg

Height, h = 1.2m

Acceleration due to gravity = 9.8 N/kg or m/s².

To find the gravitational potential energy;

Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.

Mathematically, gravitational potential energy is given by the formula;

\( G.P.E = mgh\)

Where;

Substituting into the formula, we have;

\( G.P.E = 2*1.2*9.8 \)

G.P.E = 23.52 to 2 S.F = 24 Joules.

Translation kinetic energy is defined as the energy of a system due to the motion of the system’s center of mass. The center of mass is typically where the mass of the object or particle is concentrated.

Answer:

Explanation:

For solving this question we will be using Newton's second law of motion in 2 different formats.

F = ma and   \(\tau = I\alpha\)

Here F = net external force applied on the body

m = mass of the body

a = acceleration of the centre of mass of the body

\(\tau\) = net external torque on the body

I = moment of inertia of the body about given axis

\(\alpha\) = angular acceleration of the body

These are 2 forms of Newton's second law of motion first one is from transnational motion and second for rotational motion.

Kindly check the attached images below to see further step by step explanation to the question above.

Answer:

75 cm/second.

Explanation:

Formula:

Walking speed = stride length / time per step

Walking speed = 90cm/time per step

                         = 90cm/1.2 seconds (a common estimate time per step)

                         = 75cm/second.

There are several reasons why carbon dioxide receives more attention than nitrous oxide or other greenhouse gases in discussions about global warming and climate change. They are:

Quantity: Carbon dioxide is the most abundant greenhouse gas in the atmosphere, accounting for about 78% of total radiative forcing. Nitrous oxide, on the other hand, is present in much lower concentrations, making up about 6% of total radiative forcing.

Sources: Carbon dioxide is primarily emitted through the burning of fossil fuels (such as coal, oil, and natural gas), which is a major contributor to human activities that drive climate change. Nitrous oxide, on the other hand, is primarily emitted through natural processes such as soil microbial activity and ocean currents.

Mitigation: Carbon dioxide has a relatively long atmospheric lifetime, meaning it stays in the atmosphere for a long time. Therefore, reducing carbon dioxide emissions can have a significant impact on slowing the rate of global warming. Nitrous oxide, however, has a relatively short atmospheric lifetime, meaning it stays in the atmosphere for a shorter time.

Therefore, reducing nitrous oxide emissions may not have as much of an impact on slowing the rate of global warming.

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Answer:

t = 1.9 s

Explanation:

        \(a = \frac{v_{f} -v_{o} }{t_{f} - t_{o} } (1)\)

       \(v_{f} = v_{o} + a*t (2)\)

        \(t =\frac{v_{f}-v_{o}}{a} (3)\)

       vf = 6.3 m/s

       v₀ = 1.2 m/s

        a = 2.75 m/s²

        \(t =\frac{v_{f}-v_{o}}{a} = t =\frac{6.3m/s-1.2m/s}{2.75m/s2} = 1.9 s (4)\)

Answer:

May be egg shaped

Has no new stars being formed.

Has almost no gas or dust between stars.

Explanation:

Elliptical galaxy is the collection of many stars which are bounded together gravitationally, which is smooth and ellipsoidal and shape and the appearance is featureless.

Elliptical galaxy is ovoid or spherical masses of stars.

It is found in galaxy clusters and compact galaxies.

It has no gas or dust between stars which result in low rates of star formation.

It is formed When two spirals collide, they lose their familiar shape, morphing into the less-structured elliptical galaxies.

Elliptical galaxy is made of old stars and have no gas and dust.

An example is elliptical galaxy m60 which shines brightly and is egg shaped.

Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.

It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.

This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.

For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.

Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.

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Answer:

To find the net charge on the sphere using electric flux, we can use the formula:  

Φ = Q/ε0

Where Φ is the electric flux, Q is the charge, and ε0 is the permittivity of free space.  

Given that the electric field 20 cm from the center of the sphere is N/C and points radially inwards, we can use the formula for electric field due to a charged sphere to find the charge on the sphere:

E = kQ/r^2  

Where E is the electric field, k is Coulomb's constant, Q is the charge, and r is the distance from the center of the sphere.  

Substituting the given values, we get:  

20 = (1/4πε0)(Q)/(0.2)^2  

Solving for Q, we get:  

Q = (20)(0.2)^2(4πε0)  

Q = 0.64πε0 C  

Now, substituting this value of Q in the formula for electric flux, we get:  Φ = Q/ε0 = (0.64πε0)/(ε0) = 0.64π C  

Therefore, the net charge on the sphere is 0.64π C.

The kinetic energy of the book after it is slids a distance of 2 meters will be 10 Joules.

The work-energy theorem states that "the work done on an object is the change in its kinetic energy".

Hence;

Kinetic energy = work done

Note that: work-done is expressed as:

Work done = f × d

Where f is force applied and d is distance traveled.

Given that:

Force applied f = 5 newton

Distance d = 2 meters

Work done = ?

Plug these values into the above formula and solve for the workdone.

Work done = f × d

Work done = 5N × 2m

Work done = 10Nm

Work done = 10 Joules

Therefore, the kinetic energy is 10 Joules.

Option B) 10 J is the correct answer.

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The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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So, the force of gravity that the asteroid and the planet have on each other approximately

\( \boxed{\sf{5.43 \times 10^{10} \: N}} \)

Hi ! Now, I will help to discuss about the gravitational force between two objects. We already know that gravitational force occurs when two or more objects interact with each other at a certain distance and generally orbit each other to their center of mass. For the gravitational force between two objects, it can be calculated using the following formula :

\( \boxed{\sf{\bold{F = G \times \frac{m_1 \times m_2}{r^2}}}} \)

With the following condition :

We know that :

What was asked :

Step by step :

\( \sf{F = G \times \frac{m_1 \times m_2}{r^2}} \)

\( \sf{F = 6.67 \times 10^{-11} \times \frac{8.4 \cdot 10^8 \times 6.2 \cdot 10^{23}}{(8 \times 10^5)^2}} \)

\( \sf{F = \frac{347.374 \times 10^{-11 + 8 + 23}}{64 \times 10^10}} \)

\( \sf{F \approx 5.43 \times 10^{20 - 10}} \)

\( \boxed{\sf{F \approx 5.43 \times 10^{10} \: N}} \)

So, the force of gravity that the asteroid and the planet have on each other approximately

\( \boxed{\sf{5.43 \times 10^{10} \: N}} \)

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The power used, given that a force of 20 N is used to push the shopping cart 3.5 m in 2 seconds is 35 W

First, we shall determine the work done in pushing the cart. Details below:

Wd = Fd

Wd = 20 × 3.5

Wd = 70 J

Finally, we shall determine the power used in pushing the cart. Details below:

P = Wd / t

P = 70 / 2

P = 35 W

Thus, we can conclude that the power used is 35 W

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The following vector components are:

a) A+ B - 84.21°

b) A-B - 18.74°

c) B-A - -84.21°

To use components to find the given vectors, break each vector into its x and y components using trigonometry.

Assume the positive x-axis points to the right and the positive y-axis points up.

For vector A, the magnitude of the x-component is given by Acos(60°) and the magnitude of the y-component is given by Asin(60°),

Ax = Acos(60°) = 2.8 cm × 0.5 = 1.4 cm

Ay = Asin(60°) = 2.8 cm × 0.866 = 2.425 cm

For vector B,  the negative sign since the vector is below the x-axis,

Bx = Bcos(60°) = 1.9 cm × 0.5 = 0.95 cm

By = -Bsin(60°) = -1.9 cm × 0.866 = -1.6494 cm

a) To find A + B, add the x and y components separately:

(A + B)x = Ax + Bx = 1.4 cm + 0.95 cm = 2.35 cm

(A + B)y = Ay + By = 2.425 cm - 1.6494 cm = 0.7756 cm

Then, the vector A + B has a magnitude of √[(2.35 cm)² + (0.7756 cm)²] = 2.466 cm and an angle of tan⁻¹(0.7756 cm / 2.35 cm) = 18.74° above the positive x-axis.

b) To find A - B, subtract the x and y components separately:

(A - B)x = Ax - Bx = 1.4 cm - 0.95 cm = 0.45 cm

(A - B)y = Ay - By = 2.425 cm + 1.6494 cm = 4.0744 cm

Then, the vector A - B has a magnitude of √[(0.45 cm)² + (4.0744 cm)²] = 4.091 cm and an angle of tan⁻¹(4.0744 cm / 0.45 cm) = 84.21° above the positive x-axis.

c) To find B - A, subtract the x and y components separately:

(B - A)x = Bx - Ax = 0.95 cm - 1.4 cm = -0.45 cm

(B - A)y = By - Ay = -1.6494 cm - 2.425 cm = -4.0744 cm

Then, the vector B - A has a magnitude of √[(-0.45 cm)² + (-4.0744 cm)²] = 4.091 cm and an angle of tan⁻¹(-4.0744 cm / -0.45 cm) = -84.21° below the positive x-axis.

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The uncertainty of the heavy object if the scale remains constant is 0.24 lbs.

The percent uncertainty in measuring the light weight object is calculated as follows;

\(= \frac{0.034}{11} \times 100\%\\\\= 0.309\%\)

The uncertainty of the heavy object if the scale remains constant is calculated as follows;

\(= \frac{0.309}{100} \times 78.0 \ lbs\\\\= 0.24 \ lbs\)

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Answer:

True

Explanation:

the independent variable would be like if the psychologist is experimenting the impact of sleep deprivation, sleep deprivation would be the independent variable that is being manipulated or changing its level systematically in the experiment.

the Given

*The number of mol of neon is n = 1 mol.

*The temperature of the neon gas is T = 288 K.

*The mass of the neon gas is m = 0.01 kg.

*The gas constant R is R = 8.31 J/(mol.K).

To find: The average velocity of atoms of neon (v).

According to the given equation,

Substitute the known values.

The average velocity of atoms of neon is 847.33 m/s. Thus, option (A) is the correct answer.

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The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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1. The angular momentum of the combined bullet-block system about the vertical pivot axis is 0.

2. The fraction of the original kinetic energy of the bullet converted into internal energy within the bullet-block system during the collision is given by [m * v² - (M + m) * V²] / [m * v²].

1. To find the angular momentum of the combined bullet-block system about the vertical pivot axis, we need to consider the initial and final angular momentum.

Initially, before the collision, the bullet has no angular momentum about the pivot axis since it is moving parallel to the table and perpendicular to the rod.

After the collision, when the bullet embeds within the block, the combined bullet-block system starts rotating about the pivot axis due to the conservation of angular momentum.

The angular momentum of the system can be calculated using the formula:

Angular momentum = moment of inertia × angular velocity

The moment of inertia of the system depends on the distribution of mass and the axis of rotation. Assuming the block and bullet have negligible rotational inertia compared to the rod, we can consider the moment of inertia to be that of the rod.

The moment of inertia of a rod rotating about one end (pivot) is given by:

I = (1/3) * M * ℓ²

where M is the mass of the block, and ℓ is the length of the rod.

The angular velocity (ω) can be determined by considering the conservation of angular momentum:

Initial angular momentum = Final angular momentum

0 = (1/3) * M * ℓ² * ω

Since the initial angular momentum is zero, the final angular momentum of the system is also zero.

Therefore, the angular momentum of the combined bullet-block system about the vertical pivot axis is 0.

2. To find the fraction of the original kinetic energy of the bullet that is converted into internal energy within the bullet-block system during the collision, we can use the principle of conservation of kinetic energy.

The initial kinetic energy of the bullet before the collision is given by:

Initial kinetic energy = (1/2) * m * v²

After the collision, the bullet embeds within the block, and both the bullet and the block gain internal kinetic energy due to their rotational motion.

The final kinetic energy of the bullet-block system is given by:

Final kinetic energy = (1/2) * (M + m) * V²

where V is the final velocity of the combined bullet-block system after the collision.

Since the bullet and block are now rotating about the pivot axis, part of the initial kinetic energy is converted into internal rotational kinetic energy.

The fraction of the original kinetic energy converted into internal energy can be calculated as:

Fraction of kinetic energy converted = (Initial kinetic energy - Final kinetic energy) / Initial kinetic energy

Substituting the values:

Fraction of kinetic energy converted = [(1/2) * m * v² - (1/2) * (M + m) * V²] / [(1/2) * m * v²]

Simplifying the equation, we can cancel out common terms:

Fraction of kinetic energy converted = [m * v² - (M + m) * V²] / [m * v²]

Therefore, the fraction of the original kinetic energy of the bullet converted into internal energy within the bullet-block system during the collision is given by [m * v² - (M + m) * V²] / [m * v²].

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The density of water at STP, which is \(997 kg/m^3\), we can see that Saturn is less dense than water.

To determine whether Saturn is less dense than water, we must compute its density and compare it to the density of water at standard temperature and pressure (STP), which is \(997 kg/m^3\).

Saturn's density can be computed using the following formula:

density equals mass divided by volume

Saturn's mass and volume may be computed given its mass and radius.

The volume of Saturn can be determined using the sphere volume formula:

volume =\((4/3) \pi (r^3)\)

where r is Saturn's radius.

Filling in the blanks:

volume = \((4/3) \pi (5.6 \times 107) m^3\)

8.27 x 1023 \(m^3\)volume

Saturn's mass is given as \(5.68 \times 10^{26} kg.\)

We can now compute Saturn's density:

density equals mass divided by volume

density= \((5.68 x 10^{26 }kg\)) /\((8.27 \times 10^{23 }\)m³) a density of\(687 kg/m^3\)

This is due to the fact that Saturn is mostly made up of hydrogen and helium, which are far less dense than water. In reality, Saturn is the least dense planet in the Solar System, and it would float in a large enough body of water.

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Yellow light is produced by combining red and green lights. The counterpart of blue light with yellow light is blue light combined with red lights. Three basic colours of light are combined to produce white light.

Blue light can be absorbed by a yellow pigment. So light that shines just on paper is therefore depleted of blue. Red light is now gone. The paper will seem red if it reflects the red light.

White light causes an object to seem blue since it reflects just blue light and absorbs all other colours. Since there isn't any colour to reflect whenever that object is placed in red light, it absorbs all of the red light that strikes it and appears black.

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