Physics High School

## Answers

**Answer 1**

The **speed** of transverse waves on this cable is 194.15 m/s.

Let us calculate tension first. The **expression** for tension is T = m* g

Given that,

Mass of the crane m = 2500 kg

Acceleration due to gravity g = 9.8 m/s²

**Tension** T = 2500* 9.8 = 24500 N

Now, the relation between wave speed, tension and mass per unit length is

v = √( T/μ)

where, v is the transverse wave's speed

μ = 0.65 kg/m is mass per unit length

Let us substitute in the above equation, we have

v = √( T/μ) = √( 24500/0.65) = 194.15 m/s

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## Related Questions

charge a and charge b are 3.00 m apart, and charge a is 2.00 c and charge b is 3.00 c. charge c is located between them at a certain point and the force on charge c is zero. what is the magnitude of the electric field created by charge a at the location of charge c (coulomb constant has the value ke

### Answers

the separation **distance d = 3 m**

charge qA = 2 C and charge qB = 3 C

the electric force between charge q1 and q is

F1 = kqAqC/(x)2 ............. (1)

the electric force between charge q2 and q is

F2 = kqBqC/(d - x)2 ............. (2)

if the force acting on third charge due to charge qA is zero ,

**thenthe third bead is in equilibrium with other,**

kqAqC/(x)2 = kqBqC/(d - x)2

qA/(x)2 = qB/(d - x)2

qA(d - x)2 = qBx2

qA(d2 + x2- 2dx)= qBx2

qAd2 + qAx2- 2dxqA= qBx2

qAx2- qBx2 - 2dxqA+ qAd2 = 0

(qA- qB)x2 - 2dqAx+ qAd2 = 0 ................ (3)

substitute the given data in eq (3) , we get

(2- 3)x2 - (2*3*2)x+ (2)(3)2 = 0

-x2 - 12x+18 = 0

x2+ 12x-18 = 0 ................ (4)

**solve the above quadratic equation , we get**

x = 1.3485 m

the distance between A and C is

** x = 1.3485 m**

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a ball of mass m falls vertically, hits the floor with a speed vi , and rebounds with a speed vf . what is the magnitude of the impulse exerted on the ball by the floor?

### Answers

An object's impulse is the change in its **momentum**. The ball's impulse has a mass of m, an initial velocity of u, and a final velocity of u. (Uf - Ui).

Describe impulse.

An objective measurement of a moving object's change in momentum is called impulse. An object's momentum is calculated by multiplying its mass and speed.

Thus, **momentum **equals m v.

Let L1 represent the ball's starting momentum.

mass = m

initial speed = Ui

L1 = m Ui.

Let L2 represent the final **momentum **and Uf represent the final speed.

L2 = m Uf.

Impulse = L1 - L2

m Ui - m Uf

= m (Uf - Ui) (Uf - Ui)

Consequently, the ball's **impulse **is m. (Uf - Ui).

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what plans does NASA have for the sun in the future?

### Answers

The plan that **NASA** has for the **sun** in the future is to **visit** it.

What is NASA?

This is known as National Aeronautics and **Space** Administration and it is a U.S. government agency that is responsible for science and **technology** related to air and **space**.

**NASA** and other international space agencies have been in the process of monitoring the **sun** and studying everything about it such as the atmosphere and its surface and involves the use of Parker **solar** probe due to it being able to closer when compared to other space crafts.

**NASA** plans to visit the sun so as to answer fundamental questions about the center of our **solar** system and also to understand how its ever-changing conditions can influence **Earth**, other worlds, and even space itself which is therefore the reason why it was chosen as the correct choice.

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A car is going 75.6 m/s. It sees traffic is moving slower up ahead, so over 6.09 seconds it slows down to 42.8 m/s.

### Answers

The **acceleration **of the car with a initial **velocity **of 75.6 m/s is **-5.39 m/s².**

What is acceleration?

**Acceleration **is the rate of change of **velocity**.

To calculate the **acceleration **of the car, we use the formula below.

Formula:

a = (v-u)/t................... Equation 1

Where:

a = **Acceleration **of the carv = Initial **speed **of the caru = Final speed of the cart = **Time**

From the question,

Given:

v = 42.8 m/su = 75.6 m/st = 6.09 s

Substitute these values into equation 1

a = (42.8-75.6)/6.09a = -32.8/6.09a = -5.39 m/s²

Hence, the **acceleration **of the car is **-5.39 m/s².**

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**Complete question: **A car is going 75.6 m/s. It sees traffic is moving slower up ahead, so over 6.09 seconds it slows down to 42.8 m/s. What is the acceleration of the car.

the current in a single-loop circuit with one resistance r is 9:50 ma. when an additional resistance of 660 is inserted in series with r, the current drops to 3:50 ma. what is r?

### Answers

**Answer:**

r = 385 Ω

**Explanation:**

**OHM LAW : V = I x R**

In the first circuit

V = I₁ x r = 9.5 x r mv

In the second circuit with the same V

V = I₂ x ( r +660) = 3.5 x ( r + 660)

9,5r = = 3.5 ( r + 660)

9.5 r = 3.5r + 2310

6r = 2310

r = 2310/6

r = 385 Ω

two people observe a leaf falling from a tree. one person is standing on a ladder and the other is on the ground. if each person were to compare the energy of the leaf observed, would each person find the following to be the same or different for the leaf, from the point where it falls off the tree to when it hits the ground: (a) the kinetic energy of the leaf; (b) the change in gravitational potential energy; (c) the final gravitational potential energy?

### Answers

a) The kinetic energy of the leaf is the same for both people:

ΔK=\frac{1}{2} mv^2, b) The change in **gravitational energy ** from the point of view: Person on the ground: ΔG= -mgh, Person on the ladder: ΔG= mgh, c) The final potential energy is zero.

When an object is transported to a high altitude, what happens to its potential energy?

Since an object's gravitational potential energy is directly proportional to its height above the zero point, doubling its height will result in doubling its gravitational potential energy.

What does gravitational potential energy mean?

Gravitational potential energy is the energy that an object has as a result of being in a gravitational field.For an object close to the surface of the Earth, when the **gravitational acceleration **can be assumed to remain constant at around 9.8 m/s2, gravitational potential energy is most frequently used.

Where can I get the formula for gravitational potential energy?

P.E. is equal to mgh, where h is the height in meters, gis the acceleration brought on by gravity (9.8 m/s2 at the earth's surface), and mis the mass in kilograms, whichis the formula for gravitational force. Note that the units for gravitational potential energy are the same as those for kinetic energy,kg m^2/s^2.

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based on current estimates of the value of hubble's constant, approximately how old is the universe? based on current estimates of the value of hubble's constant, approximately how old is the universe? 12 billion years old 14 billion years old 20 billion years old 18 billion years old 10 billion years old

### Answers

According to the most recent calculations, the universe is 14,4 billion years old if we use the **Hubble** **constant **as our primary source. Estimated time was 15 billion years up until about ten years ago. Modern estimates are obtained using the Hubble time, which is the inverse of the Hubble parameter.

Using Hubble's Constant as a basis, how old is the universe?

When the carefully calculated Hubble Constant is paired with the cosmological parameters **mentioned **above, the age of the universe can be determined to be 13.8 0.1 billion years (15–20). With respect to the age of the oldest stars, this age is nicely stable.

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a radio station broadcasts a program at 122.9 mhz. calculate the wavelength of the radio wave frequency

### Answers

The **wavelength** will be 2.441 m

The frequency at which the radio broadcasts its program = 122.9 mhz.

The electromagnetic spectrum's longest wavelengths are found in **radio **waves, a kind of electromagnetic radiation. The distance a wave travels is measured by its **wavelength.**

Thus,

Using the formula of wavelength -

c = fλ

where -

c is the speed of light = 3 x 10^8 m/s

f is the frequency

λ is the wavelength

Substituting the values -

λ = c/f

3 x 10^8 / 122.9

= 2.441

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the total resistance of a parallel circuit aa.equals the sum of all the branch resistances.b.is the inverse of the total circuit conductance.c.is always greater than the largest branch resistance.d.equals the sum of the total circuit conductance

### Answers

The total resistance of a parallel circuit equals the **sum** of the total circuit **conductance**.

As there are multiple paths for the supply current to flow through, the current may not be the same through all the branches in the parallel network. A parallel resistive network's resistors all experience the same **voltage**, though.Then, resistors in parallel have a common voltage across them.

Here, the reciprocal ( 1/R ) value of the individual resistances are all added together instead of the resistances themselves with the inverse of the algebraic sum giving the equivalent resistance.

1/Rₙ = 1/R₁ + 1/R₂ + 1/R₃ + ....

The value obtained from parallel resistance is represented by the conductance symbol G, while the Siemens unit of conductance is represented by the sign S. Resistance's inverse or reciprocal is **conductance** (G = 1/R).

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a 77-kg man standing on a scale in an elevator notes that as the elevator rises, the scale reads 842 n. what is the acceleration of the elevator?

### Answers

Important Formulas:

[tex]F=ma[/tex]

Force(measured in newtons) = mass(measured in kg) * acceleration(measured in m/s^2)

__________________________________________________________

Given:

[tex]m=77kg[/tex]

[tex]F=842N[/tex]

[tex]a=?[/tex]

__________________________________________________________

Rearrange Force formula to get acceleration(divide both sides by mass):[tex]F=ma[/tex]

[tex]\dfrac{F}{m} =\dfrac{ma}{m}[/tex]

[tex]a=\dfrac{F}{m}[/tex]

__________________________________________________________

[tex]a=\dfrac{842}{77}[/tex]

__________________________________________________________

[tex]\fbox{a = 10.94 m/s squared}[/tex]

A 4-kg box i puhed acro a level floor with a force of 60 N for a diplacement of 20 m, then lifted to a height of 2 m. What i the total work done on the box?

### Answers

The total work performed on a 4-kg box is therefore **1280 joules** when it is pushed across a level floor with a force of 60 N for a displacement of 20 m and then raised to a height of 2 m.

What is force in science?

In science, the term "force" has a particular definition. At this point, describing a force as a push or even a pull is perfectly acceptable. There is no such thing as a force how an object "seems to have in it" or "**contains**." A force is applied to one thing by another. The idea of a force encompasses both living and non-living things. A body's propensity to alter or change it state as just a result of the an external cause is referred to as force. The body can change its size, shape, or direction when force is applied. A few instances include kicking a ball, yanking or pulling on door, and mixing dough.

What is nature of force?

Weak nuclear force, electromagnetic force, nuclear force, and gravitational force are the four fundamental **forces of nature**. The weak and strong forces are dominant only at the level of subatomic particles and are only effective across very small distances.

Briefing:

Work = F x d. =. 60N x 20m = 1200 Joules

Work = delta P.E. = mg x delta h = 4kg. X 10m/s2 x 2m. = 80 Joules

Total Work = 1280 Joules

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a magnetic b field of strength 0.6 t is perpendicular to a loop with an area of 2 m2. if the area of the loop is reduced to zero in 0.5 s, then what is the magnitude of the induced emf voltage? (in v)

### Answers

The** induced EMF voltage **in the loop of the copper wire is found to be 2.4 Volt.

The single **loop **of the wire is lying in flat plane and the magnetic field is pointing perpendicular to the plane of the loop. The area of the loop is given to be 2m²

The **magnetic field** initially has a magnitude of 0.6 Tesla and it the area of the loop is decreased to a **magnitude **of 0 m² in a time 0.5 seconds.

The** induced EMF **in the circuit will be given by the relation,

E = BΔA/∆T

Where,

B is magnetic field,

A is the **area **and T is the time taken.

Putting all the values,

E = 0.6 x 2/0.5

E = 2.4V

So, the **induced EMF **in the wire is 2.4 Volt.

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consider the instant the block is released from rest to be the initial configuration of the system. the final configuration is when the block momentarily comes to rest again. what is the value of x when the block comes to rest momentarily? (use any variable or symbol stated above as necessary.)

### Answers

There is no **net force** acting on the block for some value of x that we will designate x=x0.

Why does this matter?

This indicates that the object's **velocity **at time 6 is 0. Therefore, it is at rest, so to speak. A body need not be moving at a zero rate of acceleration to be at rest.

Can something that is briefly at rest accelerate?

Yes, **acceleration **is a change in velocity, thus even if an object is temporarily at rest, it can change its velocity in the fraction of a second after it comes to rest. A vertically thrown ball at the top of its trajectory serves as an illustration.

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a 4.00 kg ball traveling north with a momentum of 11.2 kg.m/s collides with a 6.0 kg ball traveling west with a momentum of 18 kg.m/s. the two balls stick together and head off as one. what is the momentum of the combined masses? what is the velocity of the combined masses?

### Answers

152.8 kg.m/s is the** momentum** of the combined masses. 15.28 m/s is the **velocity** of the combined masses.

To find the** momentum** of the combined masses after the collision, we can use the principle of conservation of momentum. This states that the total momentum of a** closed system** is conserved, meaning that the total momentum before the collision is equal to the total momentum after the collision. In this case, the total momentum before the **collision** is the momentum of the 4.00 kg ball plus the momentum of the 6.0 kg ball. The total momentum after the collision is the momentum of the combined masses.

We can express the principle of conservation of momentum as an equation: p_before = p_after

(m1 * v1) + (m2 * v2) = (m1 + m2) * vafter

where p stands for momentum, m for mass, and v for speed. The subscripts 1 and 2 refer to the two balls, and the subscript "before" refers to the momentum before the collision and "after" refers to the momentum after the collision.

Substituting in the known values, we get:

(4.00 kg * 11.2 kg.m/s) + (6.0 kg * 18 kg.m/s) = (4.00 kg + 6.0 kg) * v_after

44.8 kg.m/s + 108 kg.m/s = 10.00 kg * v_after

152.8 kg.m/s = 10.00 kg * v_after

v_after = 15.28 m/s

So the momentum of the combined masses after the collision is 152.8 kg.m/s and the velocity of the** combined masses** is 15.28 m/s.

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Polygon abcd reflects about line to make polygon efgh. what is the length of ?a quadrilateral abcd with the dimensions of ab is 3, bc is 2, a cd is 2.2, and ad is 3.2. which reflects another quadrilateral efgh about the line mn.

### Answers

The **line segment **in the **image **corresponds to EH in the **pre-image** is AD because A is the first and D is the last character of the pre-image.

**What are the four different kinds of quadrilaterals?**

There are four different types of **quadrilaterals**: **parallelograms**, **squares**, **rectangles**, and **rhombuses**. A parallelogram can alternatively be a square, a rectangle, or a rhombus.

**According to the given question:**

Given: Quadrilateral ABCD is the result of a **reflection of quadrilateral **EFGH over the line.

We know that after reflection each point on the pre-image has a corresponding point on its image that is equidistant from a given line of reflection.

Since, EH shows the first and the last character of the name.

Thus, the line segment in the image corresponds to EH in the pre-image is AD because A is the first and D is the last character of the pre-image.

Complete question:

Quadrilateral ABCD is the result of a reflection of quadrilateral EFGH over the line. Which line segment in the image corresponds to EH in the pre-image?

A.) AD

B.) AB

C.) BC

D.) CD

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**Answer:**

FG= 2 units

**Explanation:**

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a force of 500 n is required to hold a spring stretched 50 cm beyond its natural length. how much work is done in stretching the spring from its natural length to 90 cm beyond its natural length?

### Answers

2.25 joules **work **is done in stretching the spring from its natural length to 90 cm beyond its natural length.

How can determine a spring's natural length?

The **spring's length **without any connected mass is its natural length. Assuming the spring abides with Hooke's law The spring produces a force Fs=kL if its length is altered by an amount L from its normal length, where k is a positive quantity known as the spring constant.

distance moved = 90 cm = 0 .50 m

F = 500 N =5.00 KN

Work Done = FS = 5.00 KN * 0 .50 m

= 2.5K Joules

in stretching the spring from its** natural length **to 90 cm beyond its natural length is

2.5 * 0.90

2.25 joules

2.25 joules work is done in stretching the spring from its natural length to 90 cm beyond its natural length

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traveling with an initial speed of 70 km/h, a car accelerates at 6000 km/h2 along a straight road. how long will it take to reach a speed of 120 km/h? also, through what distance does the car travel during this time?

### Answers

The car **takes** 8.33 x 10⁻³ hr to reach the speed of 120 Km/h and the **distance** travelled during this time is 0.792 km.

Given that,

Initial speed of car; u = 70 Km/h

Final speed of car; v = 120 Km/h

Acceleration of the car = 6000 Km/h²

Time taken by the car t = ?

Using **equation of motion;** v = u + a t

120 = 70 + 6000 x t

6000 t = 50

t = 8.33 x 10⁻³ hr

**Distance** travelled in this time, v² = u² + 2 a s

120² = 70² + 2* 6000* s

14400 = 4900 + 12000* s

s = 0.792 km

Thus, the distance travelled by the car during this time is 0.792 km.

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What is the simplest formula of a solid containing a, b, and c atoms in a cubic lattice in which a atoms occupy six corners, the b atoms occupy two body-center positions, and the c atoms occupy two corners and three faces of the unit cell?.

### Answers

The simplest formula of a **solid **containing a, b, and c atoms in a **cubic lattice** in which atoms occupy six corners, the b atoms occupy two body-center positions, and the c atoms occupy two corners and three faces of the unit cell can be written as ABC.

The formula ABC represents the ratio of the number of each type of atom in the unit cell. In this case, there are 6 atoms, 2 b atoms, and 2 + 3 = 5 c atoms in the unit cell. The ratio of the number of atoms is 1:1:2, which is simplified to ABC.

It is also possible to write the formula using **fractional **subscripts to represent the ratio of **atoms** more accurately. For example, the formula could be written as A_1B_1C_2, which represents the presence of one an atom, one b atom, and two c atoms in the unit cell.

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A person throws a ball from shoulder height and parallel to ground with an initial horizontal velocity of 4 m/s. it hits the ground at exactly 5 seconds. what horizontal distance has the ball traveled?

### Answers

The horizontal **distance** the ball has traveled is 20m.

What does "projectile motion" mean?

A **projectile** is an object that is launched into the air and moves in that direction. The only force an object experiences after the initial force that launches it is gravity. Projectile refers to the object, while trajectory refers to its course.

How to solve the given question?

It is given in the question that,

initial horizontal velocity, Vx = 4 m/s

time = 5 sec

since no horizontal force is acting there,

therefore, dX = Vx × t

dX = 4×5 = 20m

The ball has therefore traveled 20 meters (m) in a horizontal direction.

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a concave shaving mirror has a radius of curvature of 31.8 cm. it is positioned so that the (upright) image of a man's face is 2.51 times the size of the face. how far is the mirror from his face?

### Answers

The** distance **of 9.54cm, the **concave mirror** from his face.

What is a Concave mirror?

The reflective surface of a **concave mirror** is sloped inward and away from the light source. Light is reflected inward to a single focal point via concave mirrors. Contrary to convex mirrors, concave mirrors provide a variety of images based on the object's distance from the mirror.

What is Distance?

Regardless of the direction of the path, distance is the overall path that an object in motion has travelled. Since only the length of the path travelled is calculated and the direction of motion is not considered, distance is referred to as a scalar quantity. The **distance** can only be positive; it can never be zero or negative.

Calculations:

focal length is f = R/2 (R = Radius of curvature = 31.8cm)

f = 31.8/2

f = 15.9 cm

an upright image 2.51 times the object size corresponds to the magnification of m = -i/p

i = -2.51p

use mirror equation = 1/f = 1/p + 1/i = 1/p - 1/2.51p = 0.6/p

so, the distance is p = 0.6×f = 0.6 × 15.9 = 9.54 cm.

Hence, the** distance **of 9.54cm, the **concave mirror** from his face.

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two like charges of the same magnitude are 5.0 mm apart. if the force of repulsion they exert upon each other is 2.0 n, what is the magnitude of each charge?

### Answers

Each **particle **carries a charge of 74.68 μC.

What does Coulomb's law aim to achieve?

The inverse square dependency of electric force is represented by Coulomb's law. Additionally, the law is accurately used in the proofs of Magnus' law for general instances. Coulomb's law's vector form is crucial since it describes the direction of the **electric fields **created by charges.

**Briefing:**

Coulomb's law, **force **of attraction/repulsion

F = kQ₁Q₂/r²

Q₁ and Q₂ are the charges in **coulombs **

r is separation in meters

k = 8.99e9 Nm²/C²

Here, Q1 = Q2 = Q

So,

F = kQ² / r²

Q = r√(F/k)

= 5.0*10^-3(2.0/8.99e9)1/2

= 5.0*10^-3*1.49*10^-5

= 7.46810^-8 C

= 74.68 μC

Therefore,** 74.68 μC **is the **magnitude** of each charge.

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If a hokey puck travel 18 minute and 3 econd before it goe in the goal what i the peed of the travling puck

### Answers

At a **speed **of 6 meters per second, if hockey puck travel at given time.

**Equation :**

According to the details :

Divide the distance by the** time** to get the **speed.**

**S = D/T**

It takes 3 seconds and 18 meters to complete the **distance.**

D = 18 m

t =3 s

Now, when entering the** values** as replacements in the formula.

**S = 18m / 3s**

Divide.

S=6m/s

**Why is it known as a puck?**

The puck bears the name of a **Shakespearean** character, indicating that hockey players in the past must have been avid readers. Puck was a flitting, naughty sprite in "A Midsummer Night Dream." We've all seen how easily a hockey puck can go across the ice in all **directions.**

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a ball is thrown straight up into the air with an initial velocity of 10 m/s. the velocity at the top of the highest point the ball reaches is

### Answers

**0 m/s . **Determine the maximum length of the ball using **vertical motion **model, which is h = -16t2 + vt + s, where v is the velocity of the object in feet/second & s is the height in feet.

How do you calculate the highest point a ball can go when thrown straight up?

Calculate the ball's **greatest height** using the vertically modelling method, h = -16t2 + vt + s, where v is just the initial velocity at feet/second and s is indeed the** height in feet.**

What is the top velocity of a ball when it is hurled straight up in the air?

zero The ball** travels upward** when you throw it, but because gravity is pulling on it, its speed diminishes as it ascends.The ball begins to slow down, and during the peak of its journey, it has **zero velocity. **

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a normal blood pressure reading is less than 120/80 where both numbers are gauge pressures measured in milli- meters of mercury (mmhg). what are the (a) absolute and (b) gauge pressures in pascals at the base of a 0.120 m column of mercury?

### Answers

Thus the absolute pressure in **pascal** at the base of a 0.120 m column of mercury is 1.17×105 Pa.

What is meant by gauge pressure?

MAP = (1 x SBP + 2 x DBP)/3

MAP = ( 1 x systolic blood pressure + 2 x diastolic blood pressure)/3

Gauge pressure is the margin by which a pressure in a fluid is greater than a pressure in the **atmosphere**. pg=po, where po is atmospheric pressure and pg is absolute pressure, also known as gauge pressure. The force the atmosphere is exerting at a specific location is known as barometric pressure, commonly referred to as atmospheric pressure.When internal pressure exceeds atmospheric pressure nearby, it is referred to be gauge pressure. Since practically all pressure gauges display zero when exposed to the environment, the gauge pressure scale was created.The pressure in relation to atmospheric or barometric pressure is known as gauge pressure. The pressure of having no matter inside a pure **vacuum** of space is known as absolute pressure.

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The centers of two slits of width 'a' are a distance 'd' apart. If the fourth minimum of the interference pattern occurs at the location of the first minimum of the diffraction pattern for light of wavelength \lambda, the ratio 'a/d' is equal to

a. 0 b. 1/4 c. 2/7 d. 1/3 e. 2/5

Choose one of the following.

### Answers

The fourth minimum of the interference pattern occurs at the location of the first minimum of the diffraction pattern for **light of wavelength** \lambda, the ratio 'a/d' is equal to 1/3

What is **wavelength ?**The distance over which a** periodic wave's** shape repeats is known as the wavelength in physics. It is a property of both travelling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings. The **spatial frequency** is the reciprocal of wavelength. The Greek letter lambda () is frequently used to represent wavelength. The term wavelength is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.In the case of a sinusoidal wave travelling at a constant speed, the relationship between wavelength and frequency is inverse:

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if you have two magnets and you try to put the two north poles together, what will most likely happen?

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In **magnets**, opposite poles attract each other whereas like poles repel one another. Thus, two magnets will **repel** one another when their north poles are placed close to one another.

The **magnets**' opposing poles attract one another as they get close to one another. They will come together in any north-south configuration. However, when two opposite **poles** are brought together, they push one another apart. The north poles of two objects cannot be joined. The **strength** of two or more magnets stacked together will be almost as strong as one magnet of the combined size. When two north poles or two south poles are brought together, the **magnetic** **field** lines will begin to bend away from one another. It displays the magnetic field lines produced by a bar magnet's two narrowly spaced **north** poles.

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a person on a boat moving north at 15 m/s throws a rock due east at a speed of 8 m/s. what is the magnitude (the number of meters per second), of the resultant velocity of the rock?

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The** magnitude** (the number of meters per second), of the resultant velocity of the rock is 23 m/s.

What is the magnitude?A person on a boat moving north at 15 m/s throws a rock due east at a speed of 8 m/s.Add all of the numbers for the x-components together, square that number to get the magnitude of the resulting velocity. Add this to the earlier value after doing the same operation for the y-components. Finally, to determine the magnitude, square the result.The **equation a** = v/t denotes acceleration (a), which is the change in **velocity** (v) over the change in time (t).

15 m/s + 8 m/s = 23 m/s.

The** magnitude** (the number of meters per second), of the resultant velocity of the rock is 23 m/s.

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what would be the total capacitance of 5 and 6 above, if there were 3 capacitors in series connected in parallel to another 3 capacitors in series if they all have a capacitance of 2f?

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The total **capacitance** would be 3F. The farad is the SI unit for capacitance.

What distinguishes a capacitor from a capacitance?

Capacitance is the term used to describe a capacitor's capacity to hold charges. Pairs of opposing charges are held apart in capacitors to retain energy. A parallel plate capacitor has the most basic construction and is made up of two **metal plates **with a space in between them.

What is the equation for the combined effective capacitance of numerous series-connected capacitors?

If Cs is the effective capacitance and many capacitors with capacitances C1, C2, C3,... Cn are linked in series, then (1/C1) + (1/C2) + (1/C3) ——-(1/Cn).

All capacitance value is = 2F

Three capacitors are series connected,

[tex]= \frac{1}{2} +\frac{1}{2} +\frac{1}{2}[/tex]

[tex]= \frac{3}{2}[/tex]

These capacitors are connected in parallel,

[tex]= \frac{3}{2} +\frac{3}{2}[/tex]

[tex]=\frac{6}{2}[/tex]

[tex]=3[/tex]F

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A skater pushes off a wall and skates backward for a few meters before stopping. Which statement best describes an action-reaction force pair in this situation?

O The wall pushes on the skater when the skater pushes on the wall.

O The wheels slow down, and the skater stops.

O The skater exerts a force on the wall, and the wheels exert a force on the floor.

O The friction of the floor decreases when the wheels roll on the floor.

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A **skater **pushes off a wall and skates backward for a few meters before stopping. statement best describes an action-reaction **force pair** in this situation. The wall pushes on the skater when the skater pushes on the wall.

Newton's 0.33 law (law of **movement**-reaction) states: Every motion has an identical and opposite response and it occurs among gadgets this state of affairs, the action will be the skater pushing off of the wall, therefore the response would be the wall pushing off of the skater because the items which are **interacting **are the wall and the skater.

Force pair:-**pressure **pair (plural **force pairs**) (physics, **mechanics**) forces performing at the identical point with the same value but an opposite path, on account of Newton's third regulation ("every action has a same and **contrary **response").

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The **wall pushes** on the skater when the skater pushes on the wall,

this statement best describes an action-reaction force pair in this situation.

In keeping with **Newton's **third law of motion, to every action, there is always an equal an **opposite reaction**. Also, the **movemen**t and response occur in two different bodies. While bodies engage with every other, they trade force, which is the same in value but act in opposite instructions. This law has a large utility in static **equilibrium** in which the forces are balanced, and additionally for gadgets that go through uniform **extended **motion.

For example, a laptop stored on a desk exerts a downward **pressure**, which is **identical** to its weight on the table, and consequently, the table exerts the same and contrary pressure on the computer. This pressure comes into play due to the fact the load of the laptop barely deforms the desk, and in go back, the desk pushes returned the computer.

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8) an electron is released from rest at a distance of 9.00 cm from a proton. if the proton is held in place, how fast will the electron move when it is 3.00 cm from the proton? (mel

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If the proton is held in place then then the **speed **with which the electron move when it is 3 cm from the proton is 106 m/s .

The **Conservation of Energy** states that ⇒ amount of energy in the universe is constant, that means Energy can neither be created nor destroyed.

to find the speed of the **electron** we use the conservation of energy concept : that is

kqq'/r = (1/2)mv² + kqq'/x ;

where q ⇒ charge of electron , q' = charge of **proton **;

r ⇒ initial distance ; x ⇒final distance ; v ⇒ speed ;

m ⇒ **mass** of electron .

given the **radius **= 9 cm = 0.09 m ;

x = 3 cm = 0.03 m ;

q = 9.11 × 10⁻³¹ ;

substituting the values of parameter ,

we get ;

(9 × 10⁹)(1.6 × 10⁻¹⁹)²/0.09 = (1/2)(9.11 × 10⁻³¹)v² + (9 × 10⁹)(1.6 × 10⁻¹⁹)²/0.09

simplifying and solving further ,

we get ;

v = 106 m/s .

Therefore , the **speed **of the electron is 106 m/s .

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