An astronaut has a mass of 70kg.
The force of gravity on the Moon is approximately 1.5N/kg.
Calculate the weight of the astronaut when they are on the Moon.

Weight = .............................................................. N

In order to find which balls will be shown in the mirror, we need to draw light rays going from the eye of the observer into the ends of the mirror.

Then, the reflected rays will create a region, and every ball inside this region can be observed in the mirror.

So we have:

We can see that only ball A is inside the reflected region, therefore only ball A will be seen in the mirror.

Therefore the answer is the third option: A only.

Answer:

C, B, D, A

Explanation:

Stress is F/A, where F = 9.8*mass and A = pi(d/2)^2

Do the math for each and the stress from least to greatest is C, B, D, A.

The height column is unnecessary information.

When four different cylinders(A,B,C,D) were each subjected to a force by placing four different masses on top of them. the Rank of stress on these cylinders from least to greatest is D, C, B, A.

Stress is defined as applied force(F) per unit cross sectional area(A) on which force is applied. it I.e. Stress = F/A. its SI unit is N/m². More force on small area leads to higher stress.

Given,

For A

Mass m = 5.2 kg

Diameter = 2.6 cm

Radius r = 1.3 cm = 0.013 m

Height =  32.5

Stress on A = Force ÷ A = mg ÷ πr²

Stress = (5.2×9.8) ÷ (3.14×0.013²)

Stress = 96031 N/m²

For B

Mass m = 3.6 kg

Diameter = 2.3 cm

Radius r = 1.15 cm = 0.011 m

Height = 27.3

Stress on B = Force ÷ A = mg ÷ πr²

Stress = (3.6 ×9.8) ÷ (3.14×0.011 ²)

Stress = 92856 N/m²

C

Mass m = 4.7 kg

Diameter = 2.7 cm

Radius r = 1.35 cm = 0.0135 m

Height = 16.9

Stress on C= Force ÷ A = mg ÷ πr²

Stress = (4.7 ×9.8) ÷ (3.14×0.0135²)

Stress = 80487 N/m²

D

Mass m = 2.9 kg

Diameter = 32.2 cm

Radius r = 16.1 cm = 0.16 m

Stress on D = Force ÷ A = mg ÷ πr²

Stress = (2.9×9.8) ÷ (3.14×0.16²)

Stress = 353 N/m²

Hence Rank of stresses on the 4 cylinders are D, C, B, A

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a. The minimum inductance of the tank circuit is 56.85 H

b. The maximum inductance of the tank circuit is 199.86 H

The resonant frequency of a series RLC circuit is given by

f = 1/2π√LC where

Making L subject of the formula, we have

L = (2πf)²/C

The minimum inductance of the tank circuit is 56.85 H

To find the minimum inductance, we substitute the value of

L = (2πf)²/C

L = (2π × 4.8 × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F

L = (9.6π × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F

L = (30.159 × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F

L = 909.583 × 10⁻¹² Hz²/1.6 × 10⁻¹¹ F

L = 568.489 × 10⁻¹ H

L = 56.8489 H

L ≅ 56.85 H

The minimum inductance of the tank circuit is 56.85 H

The maximum inductance of the tank circuit is 199.86 H

To find the maximum inductance, we substitute the value of

L = (2πf)²/C

L = (2π × 9.0 × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F

L = (18π × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F

L = (56.549 × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F

L = 3197.75 × 10⁻¹² Hz²/1.6 × 10⁻¹¹ F

L = 1998.59 × 10⁻¹ H

L = 199.859 H

L ≅ 199.86 H

The maximum inductance of the tank circuit is 199.86 H

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The node voltages in the circuit using nodal analysis determined as v1= 30V ; v2=v3= 60V.

Any electrical network may be solved using nodal analysis, which is what it is called. the formula used to determine how much voltage is shared across circuit nodes. Since the node voltages are with respect to the ground, this method is also referred to as the node-voltage method.

Nodal analysis :  the node voltage was determined.

At node 2,

     => v2-v1/2 + v2-v3/2 - 15=0

     => -0.5v1 + v2 -0.5v3=15

At super node,

v2-v1/2 + v2-v3/2 -v1/4 -v3/8 =0

=> 2v1+v3 = 120

v1+30 = v3

Hence, solving all equation we get

v1= 30V ; v2=v3= 60V

We can solve for voltage and current in a circuit using numerous KCL equations that we acquire from nodal analysis of the circuits. There are one fewer KCL equations needed than there are nodes in a circuit.

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Answer:

it’s an example of a generator.

Explanation:

Answer:

Generator

Explanation:

valid

The drift speed of electrons in the aluminum wire is approximately 4.61 × 10^(-5) m/s.

To find the drift speed of electrons in the wire, we can use the equation v = I / (nAe), where v is the drift speed, I is the current, n is the number of conduction electrons per unit volume, A is the cross-sectional area of the wire, and e is the charge of an electron.

First, let's calculate the number of conduction electrons per unit volume. The density of aluminum is given as 2.70 g/cm^3. We can convert it to kg/m^3 by multiplying by 1000.

Since each aluminum atom supplies one conduction electron, the number of conduction electrons per unit volume is equal to the number of aluminum atoms per unit volume. Using the atomic mass of aluminum (26.98 g/mol) and Avogadro's number (6.022 × 10^23 mol^(-1)), we can calculate the number of aluminum atoms per unit volume.

Next, we substitute the values into the formula v = I / (nAe) to find the drift speed. The current is given as 4.00 A, the cross-sectional area is 2.90 × 10^(-6) m^2, and the charge of an electron is 1.60 × 10^(-19) C. After substituting the values, we can calculate the drift speed, which is approximately 4.61 × 10^(-5) m/s.

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Answer:

Explanation:

The kinetic energy of an object can be found by using the formula

\(k = \frac{1}{2} m {v}^{2} \\ \)

m is the mass

v is the velocity

From the question we have

\(k = \frac{1}{2} \times 50 \times {20}^{2} \\ = 25 \times 400 \\ = 10000\)

We have the final answer as

Hope this helps you

a. The translational speed of the cylinder at the bottom of the inclined plane is v = sqrt(2gh); b. a = (2g sin(theta) / R) R = 2g sin(theta) is the acceleration of the center of mass of the cylinder down the inclined plane. Rolling Cylinder on Inclined Plane; c. The minimum coefficient of friction required for the cylinder to roll without slipping is equal to the tangent of the angle of the inclined plane.

The potential energy of the cylinder at the top of the inclined plane is Mgh, where g is the acceleration due to gravity. At the bottom of the inclined plane, all of this potential energy has been converted to kinetic energy, so:

1/2 M v^2 = Mgh

where v is the translational speed of the cylinder at the bottom of the inclined plane.

Solving for v, we get:

v = sqrt(2gh)

b. The force of gravity acting on the cylinder down the inclined plane has two components: one parallel to the plane, Mg sin(theta), and one perpendicular to the plane, Mg cos(theta).

The net torque on the cylinder is due to the parallel component of the force of gravity, which acts at a distance R from the center of mass of the cylinder. The torque is therefore:

τ = (Mg sin(theta)) R

The rotational inertia of the cylinder is 1/2MR^2, so the angular acceleration of the cylinder is:

α = τ / I = (Mg sin(theta)) R / (1/2MR^2) = 2g sin(theta) / R

The linear acceleration of the center of mass of the cylinder is

a = αR, so:a = (2g sin(theta) / R) R = 2g sin(theta)

This is the acceleration of the center of mass of the cylinder down the inclined plane.

c. In order for the cylinder to roll without slipping, the force of friction between the cylinder and the inclined plane must provide enough torque to prevent the cylinder from slipping.

The maximum force of friction is μN, where μ is the coefficient of friction and N is the normal force on the cylinder. The normal force is equal to the weight of the cylinder, Mg cos(theta). The torque due to the force of friction is:

τ_friction = μN R = μMg cos(theta) R

The torque due to the force of gravity parallel to the inclined plane is still Mg sin(theta) R. The net torque is therefore:

τ_net = Mg sin(theta) R - μMg cos(theta) R

For the cylinder to roll without slipping, this net torque must be equal to the torque due to the angular acceleration, which is (1/2)MR^2 α. Setting these two torques equal, we get:

Mg sin(theta) R - μMg cos(theta) R = (1/2)MR^2 (2g sin(theta) / R)

Solving for μ, we get:

μ = tan(theta)

So the minimum coefficient of friction required for the cylinder to roll without slipping is equal to the tangent of the angle of the inclined plane.

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The physical structure of capacitor consists of two conducting surfaces separated by insulating material.

Capacitor is a device that stores electrical energy in an electric field by the virtue of accumulating electric charges on two close surfaces insulated from each other. It is a passive electronic component with two terminals and the effect of capacitor is known as capacitance

Capacitor works on the principle that the capacitance of a conductor increases when earthed conductor is brought near it. Therefore,  capacitor has two plates that are separated by a distance having equal and opposite charges. The properties of capacitors are: working voltage, tolerance, working temperature and temperature coefficient.

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Answer:

the correct objective is C

Answer:

7.5 meters per second

Hope This Helps!!

Answer:

it is 7.5 m\s

tell me if it's right

Answer:

7572 m/s

Explanation:

The force between two masses separated by a distance r is given as:

\(F=G\frac{m_1m_2}{r^2}\)

Where F is the attractive force between 2 masses, m1 and m2, r is the distance between the centres of the masses and G is the universal gravitation constant, which is \(6.674*10^-11 Nm^2/kg^2\)

The mass of the earth (\(m_1\)) is far greater than the mass of the sputnik (\(m_2\)). Therefore \(m_1m_2=m_1\). The mass of the sputnik is neglected, therefore:

\(F=G\frac{m_1}{r^2}=\frac{(6.674*10^{-11})(5.98*10^{24})}{(6.96*10^6)^2} = 8.2389N\)

But F is actually centripetal acceleration, a = v²/r

\(8.2389 = v^2 / 6.96*10^6\\v=7572m/s\)

(A) The pressure transients at the mid-point of the pipeline are approximately 1,208,277 Pa.
(B) Friction in the pipeline affects the calculated pressure transients by increasing the overall resistance to flow

(a) The pressure transients at the mid-point of the pipeline can be calculated using the water hammer equation. Water hammer refers to the sudden changes in pressure and flow rate that occur when there are rapid variations in fluid flow. The equation is given by:

ΔP = (ρ × ΔV × c) / A

Where:

ΔP = Pressure change

ρ = Density of water

ΔV = Change in velocity

c = Wave speed

A = Cross-sectional area of the pipe

First, let's calculate the change in velocity:

ΔV = Q / A

Q = Flow rate = 0.12 m/s

A = π × ((d/2)^2 - ((d-2t)/2)^2)

d = Internal diameter of the pipe = 300 mm = 0.3 m

t = Pipe wall thickness = 5 mm = 0.005 m

Substituting the values:

A = π × ((0.3/2)^2 - ((0.3-2(0.005))/2)^2

A = π × (0.15^2 - 0.1495^2) = 0.0707 m^2

ΔV = 0.12 / 0.0707 = 1.696 m/s

Next, let's calculate the wave speed:

c = √(E / ρ)

E = Young's modulus of steel = 210x10^9 Pa

ρ = Density of water = 1000 kg/m^3

c = √(210x10^9 / 1000) = 4585.9 m/s

Finally, substituting the values into the water hammer equation:

ΔP = (1000 × 1.696 × 4585.9) / 0.0707 = 1,208,277 Pa

Therefore, the pressure transients at the mid-point of the pipeline are approximately 1,208,277 Pa.

(b) Friction in the pipeline affects the calculated pressure transients by increasing the overall resistance to flow. As water moves through the pipe, it encounters frictional forces between the water and the pipe wall. This friction causes a pressure drop along the length of the pipeline.

The presence of friction results in a higher effective wave speed, which affects the calculation of pressure transients. The actual wave speed in the presence of friction can be higher than the wave speed calculated using the Young's modulus of steel alone. This higher effective wave speed leads to a reduced pressure rise during the transient event.

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Regular exercise has a positive impact on the brain, and the best explanation for this is that exercise helps maintain and create pathways in the brain (Option C).

1. The brain is a complex organ composed of billions of nerve cells called neurons. These neurons communicate with each other through pathways, forming a vast network.

2. When we engage in physical exercise, it increases blood flow to the brain. This enhanced blood flow delivers more oxygen and nutrients to the brain cells, promoting their overall health and functioning.

3. Exercise also stimulates the release of various chemicals in the brain, such as neurotransmitters and growth factors. These substances play a crucial role in the growth, development, and maintenance of brain cells.

4. Additionally, regular exercise has been found to promote the formation of new connections between neurons, a process known as neuroplasticity. These connections, also called synapses, are essential for learning, memory, and overall cognitive function.

5. By engaging in consistent exercise, individuals can enhance neuroplasticity, allowing their brains to adapt and reorganize in response to new experiences and challenges.

6. Moreover, exercise has been shown to reduce the risk of age-related cognitive decline and neurodegenerative diseases, such as Alzheimer's disease. It may also help improve mood, reduce stress, and enhance mental well-being.

7. In summary, while the brain is not a muscle that can be directly exercised, regular physical exercise positively impacts the brain by promoting neuroplasticity, improving blood flow, releasing beneficial chemicals, and reducing the risk of cognitive decline.

Therefore, the best explanation for why a consistent exercise regime has a positive impact on the brain is that exercise helps maintain and create pathways in the brain (Option C).

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Answer:

a 2 kg mass traveling at 5ms

Explanation:

because it wouldnt go so fast or be so heavy

Adiabatic cooling refers to the cooling of a parcel of air as a result of its expansion due to a decrease in pressure or an increase in volume. This process occurs without the addition or subtraction of heat from the environment.

As the parcel of air rises in the atmosphere, it encounters lower atmospheric pressure, causing it to expand. The expansion leads to a decrease in temperature within the parcel, resulting in adiabatic cooling.

Adiabatic cooling plays a crucial role in the formation of atmospheric clouds. When warm, moist air rises, it undergoes adiabatic cooling due to expansion. As the air cools, it reaches its dew point, where the air becomes saturated with water vapor, leading to the formation of tiny water droplets or ice crystals. These tiny particles then condense on aerosols, such as dust or pollutants, to form visible clouds.

Meteorologists widely acknowledge that adiabatic cooling is a fundamental factor in cloud formation. Understanding the principles of adiabatic cooling helps predict cloud types, atmospheric stability, and weather patterns. It is essential for meteorologists to consider adiabatic processes to accurately forecast and study the behavior of clouds, precipitation, and other atmospheric phenomena.

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Answer:A gas heater working

Explanation:because from the system of it it could be coal or just air being heated up it takes energy to make it hot! In other words convection

Answer:

a or b

Explanation:

Answer:

The answer is C, condensation or large amounts of water vapor and the second question is correct too.

Explanation:

The "d" in "Scd" signifies a small bulge, while the "c" indicates a relatively loose and poorly defined spiral pattern.

In Hubble's classification system, the type of galaxy that has a small bulge and a loose, widely spread, and poorly defined spiral pattern is classified as a "Scd" galaxy.

Hubble's classification scheme categorizes galaxies into different types based on their visual appearance, particularly the structure of their spiral arms, the size of their central bulge, and the overall shape of the galaxy. The scheme ranges from elliptical galaxies (labeled E) to spiral galaxies (labeled S), with further subdivisions denoted by additional letters and numbers.

Within the spiral galaxy category, the classification progresses from tightly wound and well-defined spiral arms (Sa type) to intermediate spiral arms (Sb type) and finally to loosely wound and poorly defined spiral arms (Sc type). The "d" in "Scd" signifies a small bulge, while the "c" indicates a relatively loose and poorly defined spiral pattern.

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The strength of the magnetic field is approximately 2.8 mT.

The equation is:

Φ = B × A × cos(θ)

You are given the magnetic flux (Φ = 4.7 × \(10^-^5\) \(Tm^2\), the angle (θ = 37°), and the dimensions of the rectangular area (6.2 cm x 7.5 cm). First, we need to calculate the area (A):

A = length × width = 6.2 cm × 7.5 cm = 46.5 \(cm^2\)

= 0.00465 \(m^2\)

Next, rearrange the magnetic flux equation to solve for the magnetic field (B):

B = Φ / (A × cos(θ))

Now, plug in the given values and calculate the magnetic field:

B = (4.7 ×\(10^-^5\) \(Tm^2\)) / (0.00465\(m^2\)× cos(37°)) ≈ 0.00283 T

Finally, convert the magnetic field strength to milli tesla (mT) and express it using two significant figures:

B = 0.00283 T × 1000 mT/T ≈ 2.8 mT

So, the strength of the magnetic field is approximately 2.8 mT.

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A collection of a fixed number of elements (called components) arranged in n dimensions ( n >= 1) is called a(n) n- dimensional array

an array of dimensions gives Information about the material composition for each point in the heterogeneous part is stored in N.

Similar to a one-dimensional array, a two-dimensional array is represented graphically as a grid (or table) with rows and columns.

A big gathering of objects or people is referred to as a "array," especially one that is eye-catching, inspires admiration, or has been arranged in a particular way: The spread of food on the table was magnificent. They were seated in front of numerous microphones and cameras. Related words and phrases are part of the SMART Vocabulary. Things in groups and collections

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Answer:

0.120m

Explanation:

F=ma

a=F/m

a=500N/50kg

a=10m/s2

Answer:

Explanation:

m=1000kg and a=3m/s2 . hence, the force needed to accelerate the 1000kg car by 3m/s2 is 3000N

Given:

The height from the ground is h = 350 m

The gravitational potential energy is GPE = 120,200 J

To find the mass of the hiker.

Explanation:

The mass of the hiker can be calculated by the formula

Here, g =9.8 m/s^2 is the acceleration due to gravity.

On substituting the values, the mass of the hiker will be

Thus, the mass of the hiker is 35.044 kg

Answer:

jwuwhisbuebeu said that good morning and private s the

Answer:

the answer to this question is a⁵/c²

Answer:

Below are some of the important dates that led to the creation of the Constitution: 1775 — The Revolutionary War between the Colonies and Britain begins. ... 1781 — The last battle of the Revolutionary War takes place; the 13 states set up a federal government under laws called the Articles of Confederation.

Explanation:

please give me a heart

(1) The moment of 20N about the wheel is 30 Nm. (2) The distance of the wheel to the center of mass of the wheelbarrow is 1.2m.

1. The moment of 20N about the wheel can be calculated using the formula:

Moment = Force x Distance

Moment = 20N x 1.5m

Moment = 30 Nm

2. To find the distance of the wheel to the center of mass of the wheelbarrow, we can use the principle of moments, which states that the sum of the clockwise moments about a point is equal to the sum of the anticlockwise moments about the same point. Let the distance from the wheel to the center of mass be x.

Clockwise moment = Weight x Distance

Clockwise moment = 80N x (1.5m - x)

Anticlockwise moment = Upforce x Distance

Anticlockwise moment = 20N x x

Using the principle of moments:

80N x (1.5m - x) = 20N x x

Simplifying and solving for x:

120m = 100x

x = 1.2m

Therefore, the distance of the wheel to the center of mass of the wheelbarrow is 1.2m.

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Answer:

False.

Explanation:

The plants rely on animals to spread their seeds, thats why they make fruits so the animals eat em, the seeds are strong enough to survive the animals stomach and come out the other end.