3 A uniform plank of weight 120N rests on two stools as
shown in Fig. 5.16. A weight of 80N is placed on the
plank, midway between the stools. Calculate:
a the force acting on the stool at A,
b the force acting on the stool at B.
I’m confused on how to calculate moment of weight if there are two pivots

The result of the ratio of the displacement module of the second body at the point of meeting is 0.5.

To determine the ratio of the displacement of the first body to the displacement of the second body at the moment of their meeting, use the equation of motion:

d = vt + 1/2at²

where d is the displacement, v is the initial velocity, t is the time, and a is the acceleration.

Since the bodies are moving simultaneously towards each other, then assume that their initial velocities are zero. Also, at the moment of their meeting, their displacement will be the same, d₁ = d₂.

Assume that the time at which they meet is t, then:

d₁ = 1/2 * 2.4t²

And the equation for the displacement of the second body:

d₂ = 1/2 * 4.8t²

If d₁ = d₂

then, 1/2 * 2.4t² = 1/2 * 4.8t²

Solving this equation for t and substituting it into the equation for d₁ or d₂, the ratio of the displacement of the first body to the displacement of the second body: d₁/d₂ = 2.4/4.8 = 0.5 or 1/2

So, at the moment of their meeting, the displacement of the first body is half of the displacement of the second body.

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Answer:

Biotic

Explanation:

In a particular ecosystem, caterpillar and parts of the soil are biotic components

I hope this helps - please mark as brainliest!

This is the equations for a hyperbola if we plot mass as both the independent variable & acceleration as such dependent variable, again understanding Newton's second law.

The measured reaction is the dependent variable. The dependent variable is dependent on the variation in the independent variable, to put it another way.

In a scientific experiment, variables are the two most crucial variables. The independent variable is the one that is under the experimenter's control. The variable that adapts to the explanatory variables is known as the dependent variable.

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Answer:

The net force acting on the body is F1 - F2 = 15 N - 7 N = 8 N (east). Since the displacement of the body is 6 m in the same direction as the net force, the work done by the forces on the body is W = Fnet x d = 8 N x 6 m = 48 J (Joules).

Explanation:

above

Answer:

The spheres do not move.

Explanation:

Both spheres start neutral, meaning they have an equal number of positive and negative words.

The spheres are metal, so they are conductors. When the positively-charged rod touches sphere A, the negative charges in both spheres are attracted towards the rod, and the positive charges in both spheres are repelled away.

When the rod is removed, sphere A will have a negative charge, and sphere B will have a positive charge. The electrostatic force will pull the spheres together. Since they are already touching, the spheres will not move.

Answer:

Explanation:

1. Heat: Re-entry into Earth’s atmosphere generates a huge amount of heat due to friction between the object and the atmosphere. This is especially true for objects traveling at high speeds, like a spacecraft. The heat generated from re-entry can cause the object to break apart due to the extreme temperatures.

2. Air Resistance: Re-entry into Earth’s atmosphere also generates a great deal of air resistance. This air resistance can cause the object to slow down or even change direction. This can be dangerous if the object is traveling too fast or if the air resistance is too great.

3. Drag Force: Drag force is the force generated by the air molecules around the object. This force is responsible for slowing down the object as it re-enters the atmosphere. The amount of drag force depends on the size and shape of the object, as well as the speed and direction of the object.

4. Angle of Attack: The angle of attack is important in determining how an object enters the atmosphere. If the angle of attack is too high, the object can be destroyed due to the extreme heat and air resistance. If the angle of attack is too low, the object can skip off the atmosphere and continue in its original trajectory.

5. Ablative Heat Shield: Ablative heat shields are commonly used to protect objects from the extreme heat and air resistance encountered during re-entry. These shields are made of specialized materials that can withstand the extreme temperatures and ablate (or burn away) as the object re-enters the atmosphere.

As the fish tank is 20 inches by 12 inches by 12 inches, its volume is 47194744.32 mm³.

The space that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

1 inch = 0.0254 meters.

20 inches = 20 × 0.0254 meters = 0.508 meters = 508 mm.

12 inches = 12 × 0.0254 meters = 0.3048 meters = 304.8 mm.

Hence, The volume of the fish tank  = length × width × height

=  508 mm ×  304.8 mm ×  304.8 mm.

= 47194744.32 mm³

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A wave in physics is a moving disturbance in the energy level of a field.

A transmitter is an electronic device that generates and amplifies a carrier wave, modulates it with a meaningful signal derived from speech, music, TV or other sources, and broadcasts the resulting signal from an antenna.

The antenna is an apparatus to receive or transmit electromagnetic waves and convert respectively to or from an electrical signal.

Receiver is one of the several electronic devices that receive electromagnetic waves, or signals transmitted as such.

Therefore, the correct description of a transmitter, a receiver and an antenna is given above.

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The temperature increase over the last 60 years is  4.35 * 10¹⁰ K, the volumetric expansion over this temperature increase is 1.24 * 10¹⁶ km³ and the height of the ocean is increased by 3.44*10¹⁰ km

Heat transfer refers to the movement of thermal energy from a high-temperature body to a low-temperature body. There are three main types of heat transfer: conduction, convection, and radiation.

a) To find the temperature increase of ocean water on average over the last 60 years, we can use the formula for heat energy:

q = mcΔT

Where:

q = heat energy acquired by the oceans (228*1021J)

m = mass of the ocean water (density x volume)

c = specific heat of sea water (approximately 3850 J/(kg K))

ΔT = change in temperature

Given that the area of the ocean is 361106 km² and the average depth of the ocean is 3.682 km, the volume of the ocean can be calculated as:

V = A x D = 361106 km² x 3.682 km = 1.329*10⁶ km³

Given that the density of sea water is 1023.6 kg/m³, the mass of the ocean water can be calculated as:

m = V x ρ = 1.329 * 10⁶ km³ x 1023.6 kg/m³ = 1.36 * 10⁹ kg

Now, we can substitute these values into the equation for heat energy to find the change in temperature:

q = mcΔT

ΔT = q / (m x c)

Substituting the values we get:

ΔT = (228*10²¹J) / (1.36 *10⁹ kg x 3850 J/(kg K)) = 4.35 * 10¹⁰ K

Therefore, the temperature increase of ocean water on average over the last 60 years is 4.35 * 10¹⁰ K.

b) To find the volumetric expansion of the ocean as a result of this temperature increase, we can use the formula for volume expansion due to temperature change:

ΔV = βVΔT

Where:

ΔV = change in volume

V = initial volume of the ocean

β = coefficient of volume expansion

ΔT = change in temperature

Given that the coefficient of volume expansion can be taken to be 0.21*10⁻³ C⁻¹, we can substitute the values we have into the equation:

ΔV = 0.21*10⁻³ C⁻¹ * 1.36*10⁹ km³ * 4.35 * 10¹⁰ K = 1.24 *10¹⁶ km³

Therefore, the volumetric expansion of the ocean as a result of this temperature increase is 1.24 * 10¹⁶ km³

c) If the area of the ocean is considered constant, we can use the volumetric expansion to find the change in height of the ocean surface. The change in height can be calculated by:

ΔH = ΔV / A

Where:

ΔH = change in height

ΔV = change in volume

A = area of the ocean

Substituting the values we get:

ΔH = (1.24 * 10¹⁶ km³) / (361106 km2) = 3.44 *10¹⁰ km

Therefore, the average height of the ocean surface has increased by 3.44*10¹⁰ km due to this heat influx.

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A potter’s wheel moves from rest to an angular speed of the angular acceleration is 0.006 rad/s^2.

What is acceleration ?

Acceleration is the rate of change of velocity over time. It is the rate at which an object's speed, or the magnitude of its velocity, changes over time. Acceleration can be positive, negative, or zero depending on the direction of the velocity. For example, if an object is moving in a straight line and its speed increases,

it is said to have a positive acceleration; if its speed decreases, it has a negative acceleration. If the object's speed does not change, then the object is said to have a zero acceleration. Acceleration is a vector quantity, meaning it has both magnitude and direction.

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(a) The electric field strength (E), due to a point charge is a measure of how much force an object would experience per unit of charge if it were placed in the field.

To calculate it, you need the charge of the point, the distance from the point charge, and a constant called Coulomb constant (k). The formula is E = k * q / r^2, where q is the charge, r is the distance and k is Coulomb constant. In this case, the charge is 2.4 Coulombs and the distance is 8.6 cm, when you calculate this you get E = 2.3*10^8 N/C.

So the electric field strength at a point 8.6 cm away from a point charge of 2.4 C is 2.3*10^8 N/C.

(b) The magnitude of the electric force on a charge of -3.4 microcoulombs that is 8.6 cm away from a point charge of 2.4 microcoulombs can be calculated using Coulombs law:

F = k * (q1*q2)/r^2

where k is Coulombs constant, q1 is 2.4 microcoulombs, q2 is -3.4 microcoulombs, and r is 8.6 cm.

The force magnitude is approximately equal to 1.97 * 10^-5 N.

Note that the direction of the force will be repulsive as the charges are opposite in sign.

(c) I won't draw a sketch for you, but to draw a sketch of two charges yourself:

You can draw a small circle for each charge, with the size of the circle representing the magnitude of the charge. Label the first charge with a + sign to indicate it's positive and the second charge with a - sign to indicate it's negative. Draw an arrow from the second charge towards the first charge to indicate the direction of the electric force, it should be pointing from the negative charge to the positive charge because the force is attractive.

I hope this helps some, I'm sorry I cannot answer completely.

Without the figure, it's difficult to determine the correct ranking of the systems in order of most stored elastic potential energy to least stored. The ranking would depend on the specific masses of the blocks and the displacement of the spring(s) in each system. The spring constant (k) is the same in all systems, so it does not affect the ranking.

In general, the system with the greatest stored elastic potential energy will be the one in which the spring(s) is most stretched or compressed. The more the spring(s) is stretched or compressed, the more potential energy it has stored. The mass of the block will also affect the amount of stored energy, as a heavier block will stretch or compress the spring(s) more than a lighter block.

Without the exact information about the masses and the displacement of the springs, It's not possible to determine the ranking of the systems.

In the statement above. i believe that the United States is heading for its biggest political and constitutional crisis since the Civil War, and in the next three or four years there is a high risk of mass violence is a false statement.

The American Civil War, also known as the War Between the States, was a conflict that lasted from 1861 to 1865 and resulted in the deaths of an estimated 620,000 soldiers and civilians.

The war was fought primarily in the Southern United States and pitted the Confederate States of America, made up of 11 southern states that had seceded from the United States, against the United States of America (the Union). The main cause of the war was the disagreement over the institution of slavery and states' rights.

Therefore, It is important for individuals and leaders to engage in peaceful and democratic processes to address any issues or conflicts that may arise. It is not productive to speculate on potential crises or violence.

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The United States is heading for its biggest political and constitutional crisis since the Civil War, and in the next three or four years there is a high risk of mass violence, the collapse of federal authority, and the division of the country into Republican and Democratic enclaves. Explain

The impedance of the circuit is 200 ohms. Option A

We know that the resistor would have to be that element that we find in the circuit which can be able to offer opposition to the flow of current in the circuit. It is also possible that the other components of the circuit could be able to offer an opposition to the flow of current and this is what we call the impedance of the circuit that is under consideration.

Then we have that;

Z = 1/√(1/R)^2 + (1/XL - 1/XC)^2

Z = impedance

R = the resistance

XC = capacitive reactance

XL = Inductive reactance

Where;

R = 100 ohms

XL = 50 ohms

XC = 30 ohms

Then;

Z = 1/√(1/100)^2 + (1/50 - 1/30)^2

Z = 1/√(0.0001) + (0.02 - 0.03)^2

Z =200 Ohms

The impedance has been obtained above.

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The radius of the axle is 10 cm. Option C is the answer.

The mechanical advantage of a wheel and axle is equal to the ratio of the radius of the wheel to the radius of the axle.

To lift a 400 N bucket of water with an applied force of 80 N, the mechanical advantage needed:

M.a = Weight

       force applied

W = 400 N

F = 80 N

M.a =  400 N / 80 N

M.a = 5.

To get a mechanical advantage of 5, the radius of the axle should be 1/5th the radius of the wheel,

i.e r = 50 cm / 5

r = 10 cm.

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D. Gravity, weak nuclear force, electromagnetic force, strong nuclear force

The four fundamental forces in the universe, in order of increasing magnitude, are:

Gravity: This is the weakest of the four fundamental forces. It is the force that holds everything together and is responsible for the attraction between masses.

Weak Nuclear Force: This force is responsible for certain types of radioactive decay and the fusion of nuclei in stars. It is about 10^25 times weaker than the strong nuclear force.

Electromagnetic Force: This force is responsible for electric and magnetic interactions, such as the forces between charges, the forces between magnets, and the forces between electric currents.

Strong Nuclear Force: This is the strongest of the four fundamental forces. It holds the protons and neutrons in an atom's nucleus together, and it is about 10^38 times stronger than the electromagnetic force.

Therefore, the correct order of the four fundamental forces in terms of increasing magnitude is D: Gravity, weak nuclear force, electromagnetic force, strong nuclear force

Answer:

Charles law and Boyle's law, Dalton law of partial pressure, Graham law of diffusion of gases.

Explanation:

let's hangout sometime

The amount of work which was done if the power developed during Esuke’s descent was 585.0 W is equal to 2,184,975 Joules.

The work done (W) by an object can be calculated by multiplying the force acting on it by the perpendicular distance covered by the physical object over a specific period of time. This ultimately implies that, work done (W) and energy (E) have the same unit i.e Joules (J).

Mathematically, the work done (W) by an object can be calculated by using the following formula:

Work done = power × time        

Additionally, we would convert the unit of time in minutes to seconds by multiplying by 60 seconds.

Substituting the given parameters into the work done (W) formula, we have the following;

Work done = 585.0 × 62.25 × 60

Work done = 2,184,975 Joules.

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Answer:

The magnet caused a non-contact force on the paperclip.

The combined wave has a wavelength of 0.785 meters, which is the same as the combined wavelength of the two component waves. Duration is the interval between a wave's summit or valley and the succeeding wave.

The distance between two successive peaks or troughs of a wave is measured in terms of its wavelength. It is often measured in meters, centimeters, or nanometers and is the inverse of frequency. The length of a wave is the distance it travels before repeating its pattern.

⇒ y₁ = ( 4 m)sin ( (8x/m) - (300t/s) )

⇒ y₂ = ( 4 m)sin ( (8x/m) - (300t/s) - 2 )

⇒ 0.785 m

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The work done by the engine is  2.016×10¹¹ J.

Work is said to be done whenever a force moves an object through a distance.

To calculate the work done by the engine, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the work done is  2.016×10¹¹ J.

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The time spent after dropping the reward snack is

Generally, To determine how long it takes Frici to arrive at his plate after the treat is dropped, we need to calculate the time it takes for the sound of the treat hitting the plate to reach Frici, and then add the time it takes for Frici to run back home.

Sub-question 1: The time it takes for the treat to fall from a height of 125 cm can be calculated using the formula:

t = √(2h/g)

where

t = √(2*1.25/10)

= 0.5 seconds

Sub-question 2: The time it takes for the sound to reach Frici can be calculated using the formula:

t = d/s where d is the distance

30 meters + 300 meters = 330 meters

and s is the speed of sound (330 m/s).

So, t = 330/330

= 1 second

Sub-question 3: Frici's reaction time is 0.1 seconds and he runs at a speed of 6.6 m/s, so the time it takes for him to reach his plate can be calculated using the formula:

t = d/s

where

d is the distance (30 meters) and s is his running speed (6.6 m/s).

So,

t = 30/6.6

= 4.55 seconds

Therefore, the total time it takes for Frici to arrive at his plate is: 0.11 seconds (time for treat to fall) + 1 second (time for sound to reach Frici) + 4.55 seconds (time for Frici to run back) = 5.66 seconds

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Answer:

1Vacuum, 2Gas, 3Liquid, 4Solid.

Explanation:

300,000  273,400  205,600  116,878

Answer:

Solids - fastest

Liquids - faster

Gases - slowest

Vacuum - Not at all

Explanation:

Sound waves have different speed in different mediums because:

different mediums have different densities so that's why speed is different (because speed of sound depends on density of mediums).

The compressive force that would be enough to produce a fracture is 4000 N.

We know that the femur is one of the most important bones that we have in the human body. In this case, we have been told that In the human femur, bone tissue is strongest in resisting compressive force, approximately half as strong in resisting tensile force, and only about one- fifth as strong in resisting shear force.

Then we know that;

Tensile force = 8000

The compressive force would be half of this magnitude as such;

Compressive force = 4000 N

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The pressure of the oxygen gas is 2.95 x 10⁵ Pa.

The pressure of the oxygen gas is calculated by applying the following formula as shown below.

Mathematically, the formula for the pressure of a gas at given root mean square pressure is given as

P ( O₂ ) = [ ( n R ( v² M / 3R ) / ( VO₂ ) ]

where;

P ( O₂ ) = [ ( n x  v² M ) / (3 x VO₂ ) ]

The pressure of the oxygen gas is calculated as follows;

P ( O₂ ) = [ ( 12 x 480²  x 0.032 ) / ( 3 x 0.1 ) ]

P ( O₂ ) = 2.95 x 10⁵ Pa

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Answer:

In January 2012, Compton suffered a heart attack. On 25 February 2012, he died at one of his daughters' home in Washington. His wife Donna preceded him in death in 1994. Buck Compton was survived by two daughters and four grandchildren.

Explanation:

In January 2012, Compton suffered a heart attack. On 25 February 2012, he died at one of his daughters' home in Washington. His wife Donna preceded him in death in 1994. Buck Compton was survived by two daughters and four grandchildren.

Answer:

Explanation:

Answer: B. 3.63 E 6 km

The equation for gravitational force is F = G*m1*m2/r2, where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. We can rearrange the equation to solve for r: r = (G*m1*m2/F)1/2.

Using the given values, we can calculate the distance between the Earth and the moon at the closest point: r = (6.67 E−11 N*m2/kg2 * 5.97 E24 kg * 7.35 E22 kg / 2.22 E 20 N)1/2 = 3.63 E 6 km.

Therefore, the answer is B. 3.63 E 6 km.

Answer: 4.41 kN

Explanation:

Potential energy formula = mass x acceleration due to gravity x height

= 2.5 x 180 x. 9.8 = 4410 N or 4.41 kN