Suppose a is a 2x4 matrix, and the columns of a span a line. how many pivots must matrix a have?

The torque (τ) can be calculated using the formula:

τ = r * F * sin(θ)

where r is the perpendicular distance from the point of rotation to the line of action of the force, F is the magnitude of the force, and θ is the angle between the line of action of the force and the direction from the point of rotation.

Since the force and the rod both lie in the plane of the page, we need to determine the angle θ between the line of action of the force and the direction from the point of rotation for each scenario. Additionally, we need to know the specific point about which the torque is being calculated.

If you can provide the description or details of the scenarios or the specific angles and points of interest, I will be able to assist you in calculating the torque accurately.

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A student is pulling a wagon and records the force vs time values in the table, then the acceleration of the wagon would remain constant, therefore the correct answer is option D.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem if a student is pulling a wagon and records the force vs time values in the table,

As the Force of the pulling is constant and assuming the mass of the wagon to be constant the acceleration of the wagon would not change.

Thus, the correct answer is option D.

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The question is incomplete, the complete question is,

A student is pulling a wagon and records the force vs time values in the table, which of the following will also remain constant for the wagon

A. Displacement

B. velocity

C. Momentum

D. Acceleration

Answer:

Most likely Mass

Explanation:

Could be wrong ‍♂️

Answer:

An object at rest has zero velocity - and (in the absence of an unbalanced force) will remain with a zero velocity. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force.

Explanation:

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Answer:

19.32g/cm³

Explanation:

Answer:

Strong base

Explanation:

A strong base usually has the pH of between 12 to 14

If the pH of a solution is 12.4, the substance is called a Strong base. Hence, option C is correct.

When a substance is dissolved in water, H⁺ hydrogen ions are formed. These substances are called Acids. H⁺ ions are positive ions and hence, they donate protons to other substances.

When a substance is dissolved in water, OH⁻ hydroxyl ions are formed. These substances are called Bases. OH⁻ ions are negative ions that are capable of accepting the protons/hydrogen ions.

Acids are substances having more hydrogen ions than hydroxyl ions and it has a sour taste. Bases are substances having more hydroxyl ions than hydrogen ions and it has a bitter taste.

The acids and bases are differentiated by using the pH scale. pH represents the potential of hydrogen which measures the hydrogen and hydroxyl ions. It is a negative logarithm of H⁺ ion concentration.

The pH scale ranges from 0-14. The neutral power in the pH scale is 7 and the water shows the neutral range. If pH shows less than 7 it is an acidic solution and litmus paper turns red.        

If pH shows greater than 7, it is a base or alkaline solution and the litmus paper turns blue.  Weak bases range from 7.3-10. Strong bases range from 10-14.  

Hence, the pH shows 12.4, which represents a strong base. Thus, the correct solution is C.  

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Higher concentration of carbon dioxide (\(CO_2\)), methane (\(CH_4\)), and nitrous oxide (\(N_2O\)) causes the greenhouse effect.

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The length of the pendulum is approximately 0.0386 meters.

To find the length of the pendulum that makes 141 complete oscillations in 2.90 minutes at a location with a gravitational acceleration (g) of 9.80 m/s², we need to follow these steps:

Determine the period (T) of one oscillation.
To do this, first convert the 2.90 minutes into seconds:
2.90 minutes * 60 seconds/minute = 174 seconds

Next, divide the total time by the number of oscillations:
174 seconds / 141 oscillations = 1.234 seconds/oscillation

So, the period (T) of one oscillation is 1.234 seconds.

Use the formula for the period of a simple pendulum.
The formula for the period of a simple pendulum is:
T = 2π * √(L/g)

Where T is the period, L is the length of the pendulum, and g is the gravitational acceleration. We want to solve for L, so we need to rearrange the formula:
L = (T² * g) / (4π²)

Substitute the values and solve for L.
Now, plug in the values for T and g:
L = (1.234² * 9.80) / (4π²)
L = (1.524 / 39.48)
L ≈ 0.0386 m

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The graph that corresponds to 0.1 s in one complete cycle is graph D.

option D is the correct answer.

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.

Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.

From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;

Period = 1 s / 10

Period = 0.1 s

From the graphs, the only option that has one complete cycle in one second is option D.

Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.

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Answer:

your hand will be heat you will feel small pain inside your hand

My answer is addiction... It's addiction when it's the first thing you turn on in the morning and in the night when you sleep late when watching the TV.

The mean value theorem states that for a continuous function over a closed interval, there exists a point within that interval where the instantaneous rate of change velocity is equal to the average rate of change (average velocity) over that interval.

In this case, we can apply the mean value theorem to find the time after the rock is thrown where its instantaneous velocity will be equal to its average velocity.

Let's consider the motion of the rock as it is thrown into the air and then falls back down. We can define the interval from the time the rock is thrown to the time it lands back on the ground. We know that the average velocity over this interval will be zero since the rock returns to its starting position.

Using the mean value theorem, we can conclude that there exists a moment during this interval where the instantaneous velocity of the rock is equal to zero.

Therefore, the time after the rock is thrown where its instantaneous velocity is equal to its average velocity is when it reaches its maximum height.

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Answer:

A-B-C

Explanation:

Depends if you have good taste.

The displacement is 900 meter current to the South.

We know that velocity is the ratio of the displacement of a body to time. Displacement is a vector quantity just as velocity. We know that given the fact that velocity and displacement are vectors, the direction of the movement is very important.

Thus, we can see that;

Velocity =  3 meter/sec  current to the South

Time = 5 minutes or 300 sec

Velocity = displacement/ time

displacement = velocity * time

displacement = 3 meter/sec  current to the South *  300 sec

= 900 meter current to the South

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The effective value of g, the acceleration of gravity, at 6700m , above the Earth's surface is 9.79 m/s².

Given:

G=gravitational constant = 6.67x10⁻¹¹ m³/(kg.s²)

M=the Earth's mass = 5.97x10²⁴ kg

r=  Earth's radius = 6371 km  +6700m

r=6371000m+6700m

r=6377700m

For gravitation we use following:

F=GmM/r^2

which on further derivation gives

ma=GmM/r^2 , which results in

a=GM/r^2

Now putting the values in a=GM/r^2

a=6.67x10⁻¹¹ m³/(kg.s²)*5.97x10²⁴ kg/6377700^2

a=9.79 m/s²

Hence, The effective value of g, the acceleration of gravity, at 6700m , above the Earth's surface is 9.79 m/s².

then at 7000km i.e. 7000000m

All will be same except r= 6371000m+7000000m

r=13371000m and

r^2 =1.78*10^14.

putting values

a=6.67x10⁻¹¹ m³/(kg.s²)*5.97x10²⁴ kg/1.78*10^14.

a=2.23*10^28 m/s.

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The two reasons why a home computer scanner requires electromagnetic waves to operate are

C. The charge-coupled device contains a silicon chip that releases electrons by the photoelectric effect, producing an image.

D. Visible light needs to reflect off an object and be captured by a charge-coupled device.

The waves that may go through vacuum space are electromagnetic waves. Magnetic and electrical components are present in electromagnetic waves.

All of them move at the speed of light. The atoms of the material absorb and reemit wave energy as part of the energy transport process through a medium. To transfer their energy from one place to another, mechanical waves need a medium to move through.

Therefore, the correct options are c and d.

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Next lowest frequency that can exist for a standing wave in this tube is approximately 667 Hz.

f = (1/4L) * (3c/2)

The wavelength of a sound wave in air is given by:

λ = c/f

where c is the speed & f is the frequency of the sound wave.

For a sound wave with a frequency of 4200 Hz, the wavelength in air is:

λ = c/f = 343 m/s / 4200 Hz ≈ 0.082 m

2L = 2λ

L = λ

Therefore, the length of the tube that corresponds to the next lowest frequency is approximately 0.082 m.

f = (1/4L) * (3c/2) = (1/40.082) * (3343/2) ≈ 667 Hz

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Answer:

3000 Hz

Explanation:

Khan Academy

The height reached by cat A is 2.5 m.

The speed of cat A before it hits the ground is 36.4 m/s.

The speed of cat B before it hits the ground is 22.39 m/s.

The time spent in air by cat A than cat B is 1.43 seconds.

The time of motion of cat A is calculated as follows;

h = vt - ¹/₂gt

-23 = 7t - 4.9t²

4.9t² - 7t - 23 = 0

solve the quadratic equation using formula method;

a = 4.9, b = -7, c = - 23

t = 3.0 seconds

The time of motion of cat B is calculated as follows;

h = vt - ¹/₂gt

23 = 7t + 4.9t²

4.9t² + 7t - 23 = 0

solve the quadratic equation using formula method;

a = 4.9, b = 7, c = -23

t = 1.57 seconds

h = u²/2g

h = (7²)/(2 x 9.8)

h = 2.5 m

v = u + gt

v = 7  + 3(9.8)

v = 36.4 m/s

v = u + gt

v = 7  + 1.57(9.8)

v = 22.39 m/s

Time difference = 3 s - 1.57 s = 1.43 seconds

Thus, the height reached by cat A is 2.5 m.

The speed of cat A before it hits the ground is 36.4 m/s.

The speed of cat B before it hits the ground is 22.39 m/s.

The time spent in air by cat A than cat B is 1.43 seconds.

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Answer: G

Explanation:

Answer: and apple on the tree is gravitational and potential

fully charged camera battery is electric/ potential energy a man jogging is motion energy and a stove burner that is turned on is radiation energy

Explanation:

hope this helps

Communication is the act of conveying information from one person to another. .'Good communication makes it difficult to express wants and needs.'These statement is not true about good communication.

Communication is the act of conveying information from one location, person, or organization to another. There is a sender, a message, and a recipient for every message.

Communication, while it may appear to be a simple notion, is actually a very complex topic. The message's path from sender to the destination might be influenced by a multitude of circumstances.

Hence the option 'A' is right. 'Good communication makes it difficult to express wants and needs this statement is not true about good communication.

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the answer is A

Explanation : took the quiz on edge 2020

The term "psychophysics" was coined by German psychologist and philosopher Gustav Fechner in the mid-19th century.

He introduced the concept in the mid-19th century as a way to quantify and study the relationship between physical stimuli and their psychological effects. Fechner is considered to be the founder of psychophysics, and his work laid the foundation for the development of this field of study. Psychophysics aims to understand the perception of stimuli and how it is related to the physical properties of the stimuli, such as their intensity, duration, and frequency. Psychophysics is a subfield of psychology that deals with the relationship between physical stimuli and their psychological effects. It aims to quantify the relationship between the physical properties of stimuli, such as intensity, duration, and frequency, and the subjective experiences of those stimuli, such as sensation, perception, and response.

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To find the time taken by an object to reach a speed of 550 m/s when it is accelerating at a rate of 25 m/s², we can use the formula: `v = u + at` where v is the final velocity, u is the initial velocity (which is usually 0), a is the acceleration and t is the time taken to reach the final velocity.

Rearranging the formula, we have `t = (v - u)/a`. Substituting the values, we have:v = 550 m/su = 0 m/sa = 25 m/s²t = (550 - 0)/25t = 22 s

Therefore, it will take 22 seconds for the object to reach a speed of 550 m/s if it is accelerating at a rate of 25 m/s².

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Answer:

Answer is D

Explanation:

By changing the direction of the current moving through the wire will change polarity of the magnet but it will not affect the strength of the magnet.

Explanation:

It is given that, a cross-country skier moves 32 meters westward, then 54  meters eastward, and finally 68 meters westward.

The attached figure shows the whole scenario. He starts walking 32 m west and finally it walks 68 m west.

Let west is negative and east is positive.

Displacement = final position - initial position

= -68 - (-32)

= -36 m

The magnitude of displacement is equal to 30 m westwards.

Work and power are fundamental concepts in physics that have practical applications in everyday life.

Power and work are fundamental ideas in physics that have real-world implications. Power is the pace at which work is done, and work is defined as the product of force and displacement.

To calculate the amount of force and energy needed to complete a specific operation, such as lifting bulky objects or moving materials, engineers employ the concepts of work and power.

Work = fd while power = E/t

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Rods play key role in dark adaptation and detect gray, black and white. : true.

Rods are photoreceptor cells in the retina of eye that are specialized for low-light vision and they contain a photopigment called rhodopsin, which is sensitive to light and helps in seeing in dimly lit environments.

In dark conditions, rods become highly sensitive, allowing to see even in very low light levels and this is known as dark adaptation. It takes about 30 minutes for the rods to fully adapt to the dark. As the light levels increase, sensitivity of the rods decreases and cones takes over as the primary source of visual input.

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Two objects are connected by a light string that passes over a frictionless pulley.

b. The acceleration of the objects is 4.28 m/s2.

c. The tension in the string is 33.4 N.

d. The speed of each object 2.00 s after it is released from rest is 8.56 m/s and 3.84 m/s.

Free-body diagrams of both objects:

Free-body diagram of object m1:

Free-body diagram of object m2:

(b) The magnitude of the acceleration of the objects

When the mass m1 falls down the plane, the mass m2 goes up.

Hence, we can calculate acceleration by taking the net force of the system in consideration.

For mass m1, we can write F = mg sin θ - T = m1a1

For mass m2, we can write T - F = m2a2

Here, T is the tension in the string.

Adding both the equations and solving for the acceleration, we get a = (m1 - m2)g sin θ/(m1 + m2)

Putting the values of m1, m2, and θ in the above equation,

we get a = 4.28 m/s2

(c) The tension in the string

To calculate tension, we can use the following equation:

T = m1g sin θ - m1a1

T = m2g - m2a2

Putting the values of m1, m2, a1, a2, g, and θ, we get

T = 33.4 N

(d) The speed of each object 2.00 s after it is released from rest

To calculate the speed, we can use the following equation:

v = u + at

Here, v is the final velocity,

u is the initial velocity (which is 0 for both the objects),

a is the acceleration (calculated above) and t is the time (which is 2.00 s).

For mass m1, we can write\(v1 = 4.28 m/s2 *2.00 s = 8.56 m/s\)

For mass m2, we can write\(v2 = 4.28 m/s2*2.00 s = 3.84 m/s\).

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By applying Newton's second law of motion the value of x component is 1 m/s^2 and the y component has the value of 0 m/s^2.

In contrast to the first law of motion, the second law of motion deals with the behaviour of objects when all external factors are in equilibrium.The second rule of motion, which is more quantitative, is frequently applied to determine what occurs when a force is present.
According to Newton's second rule, an object's acceleration is determined by its mass and the total force that is operating on it.The mass of the body has an inverse relationship with acceleration, which is exactly proportionate to the total force exerted on the body. This implies that as the force exerted on an object increases, so does the object's motion. Similar to how an object's motion decreases as its mass increases, so does its mass.
By applying Newton's second law of motion:-

for x component:

4N - 2N = 2a

2= 2a and a = 1 m/s^2.

for y component:

3N-(2N+1N)= 2a

a= 0m/s^2.

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