How is atomic mass calculated?

Answer:8NS

Explanation:

Impulse=change in momentum

Impulse=mv-mu

Impulse=4x12-4x10

Impulse=48-40

Impulse=8NS

Answer: The force of a magnetic field on a particle with spin causes the particle to rotate it's spin to align with the magnetic field. ... Taking these two ideas together, then, the Earth's magnetic field will cause the magnet to align north to south. That's why people named them the north and south poles.

Explanation: Hope i could help please mark as brainliest!

Answer:

171.5 N

Explanation:

The gravitational force on an object due to the Earth is given by

[tex]F=mg[/tex]

where

m is the mass of the object

g is the acceleration due to gravity

The acceleration due to gravity at a certain height h above the Earth is given by

[tex]g=\frac{GM}{(R+h)^2}[/tex]

where:

G is the gravitational constant

[tex]M=5.98\cdot 10^{24} kg[/tex] is the Earth's mass

[tex]R=6.37\cdot 10^6 m[/tex] is the Earth's radius

Here,

[tex]h=6.38\cdot 10^6 m[/tex]

So the acceleration due to gravity is

[tex]g=\frac{(6.67\cdot 10^{-11})(5.98\cdot 10^{24})}{(6.37\cdot 10^6 + 6.38\cdot 10^6)^2}=2.45 m/s^2[/tex]

We know that the mass of the object is

m = 70 kg

So, the gravitational force on it is

[tex]F=mg=(70)(2.45)=171.5 N[/tex]

The gravitational force on a 70 kg person at the Earth's surface can be calculated using Newton's law of universal gravitation by inputting the mass of the Earth, the person's mass, and the radius of the Earth into the gravitational force formula.

To calculate the gravitational force on a person 70 kg in mass and 6.38 x 106 meters above the Earth's surface, we use Newton's universal law of gravitation. The formula for gravitational force (F) is: F = GmM/r2, where G is the universal gravitational constant, m is the mass of the person, M is the mass of the Earth, and r is the distance from the person to the center of the Earth.

The value of universal gravitational constant (G) is 6.674 x 10-11 N·m2/kg2. The mass of the Earth (M) is 5.97 x 1024 kg. Given these values and the person's mass (m), the gravitational pull on them can be calculated.

The distance to the center of Earth (r) would be the sum of Earth's radius and the altitude above Earth's surface, which in this case is simply Earth's radius, as the person is on the surface. Substituting the values into the formula gives F = (6.674 x 10-11 N·m2/kg2 x 70 kg x 5.97 x 1024 kg) / (6.38 x 106 m)2 to find the gravitational force.

Answer:

1)

When the person throws the ball away, the person rolls backward. This is due to the law of conservation of momentum: in fact, the total momentum of the person+ball system must be conserved.

At the beginning,

[tex]p_i=0[/tex]

after throwing the ball, the total momentum is the sum of the momentum of the person and of the ball:

[tex]p_f=p_p + p_b[/tex]

Since momentum is conserved,

[tex]p_i = p_f\\0=p_p+p_b[/tex]

So

[tex]p_p = -p_b[/tex]

Therefore, the person has equal momentum (in magnitude) but opposite direction to the ball, so the person rolls backward.

However, if the person hold to the ball, then they will have same momentum (moving in the same direction). In order to conserve the total momentum (which was zero at the beginning), the only possible solution is that

[tex]p_p=p_b=0[/tex]

which means that both the person and the ball will remain at rest. This is because there are no external forces acting on the system, so the system cannot move.

2)

The change in momentum of an object is given by

[tex]\Delta p=m(v-u)[/tex]

where

m is the mass of the object

v is its final velocity

u is the initial velocity

For the clay ball in this problem, we have:

m = 50 g = 0.050 kg

v = 0 m/s (it sticks on the wall)

u = 1 m/s

So its change in momentum is

[tex]\Delta p_c=(0.050)(0-1)=-0.050 kg m/s[/tex]

For the superball, we have:

m = 50 g = 0.050 kg

v = -0.8 m/s (it bounces back)

u = 1 m/s

So its change in momentum is

[tex]\Delta p_s = (0.050)(-0.8-1)=-0.09 kg m/s[/tex]

So, the superball has a greater change in momentum (in magnitude).

3a)

According to Newton's third law of motion:

"When an object A exerts a force (action force) on an object B, then object B exerts an equal and opposite force (reaction force) on object A".

Here, we have a Hummer and a Beetle colliding head-on: we can identify them as object A and object B. Therefore, according to Newton's third law:

- The action force is the force of impact exerted by the Hummer on the Beetle

- The reaction force is the force of impact exerted by the Beetle on the Hummer

And according to the Law, the two forces are equal in magnitude: so, the two vehicles experience the same force of impact.

3b)

The change in momentum of each vehicle during the collision can be written as

[tex]\Delta p = F\Delta t[/tex] (1)

where

[tex]\Delta p[/tex] is the change in momentum

[tex]F[/tex] is the force experienced by the vehicle

[tex]\Delta t[/tex] is the duration of the collision

in part 3a), we said that the two vehicles experience the same force in the collision.

Moreover, the duration of the collision, [tex]\Delta t[/tex], is the same for the two vehicles.

As a result, according to formula (1), the two vehicles have same change in momentum (however, the directions would be opposite, since they experience force in opposite directions).

3c)

According to Newton's second law of motion, the acceleration of an object is given by:

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

where

F is the force experienced by the object

m is its mass

a is its acceleration

In part 3a), we stated that the force experienced by the Beetle and the Hummer is the same. However, the mass of the Beetle is smaller than the mass of the Hummer: from the equation we see that the acceleration is inversely proportional to the mass, therefore the Beetle will experience a greater acceleration.

4a)

The force experienced by the dashboard on the car is given by:

[tex]F=\frac{\Delta p}{\Delta t}[/tex]

Where

[tex]\Delta p[/tex] is the change in momentum

[tex]\Delta t[/tex] is the duration of the collision

In a padded dashboard, the duration of the collision [tex]\Delta t[/tex] is larger than the duration of the collision for a hard dashboard. According to the equation above, the force experienced by the dashboard (and so, the car) is inversely proportional to the duration of the collision: therefore, since the padded dashboard has a larger [tex]\Delta t[/tex], it will experience a smaller force than the hard dashboard.

4b)

The force experienced by the climber if falling is given by

[tex]F=\frac{\Delta p}{\Delta t}[/tex]

Where

F is the force experienced by the climber

[tex]\Delta p[/tex] is his change in momentum

[tex]\Delta t[/tex] is the duration of fall

Nylon is a very elastic material, so it is able to "soften" the fall by stretching a lot. As a result, the nylon increases the value of [tex]\Delta t[/tex] in the formula. Since the force experienced by the climber is inversely proportional to [tex]\Delta t[/tex], the climber will feel less force thanks to the nylon.

4c)

This technique is used to exploit the "push" given by the second car of the train to the first car when the brakes are applied.

At first, the engine is started, and the first car starts accelerating, pulling the second car (and the following cars). Then, the brakes are applied on the first car: however, the second car keeps moving by inertia, so then it gives a push forward on the first car. Then, this action is repeated several times, so that this push exerted by the second car is exploited several times.

Answer:

a is correct answer

Explanation:

proton protons

Final answer:

The atomic number refers to the number of protons in an atom's nucleus and is crucial in identifying an element. The correct answer is A) proton, protons.

Explanation:

The atomic number, or proton number, is described as the number of protons in the nucleus of a chemical element. Thus, the correct answer to the question is:

A) proton, protons

The atomic number (Z) is a unique identifier for each element, determining its identity based on the number of protons in its nucleus. For example, carbon has an atomic number of 6, meaning all carbon atoms have six protons in their nucleus. A neutral atom has an equal number of protons and electrons. The sum of the number of protons and neutrons is referred to as the mass number (A), and isotopes of an element will have the same atomic number but can differ in the number of neutrons.

Answer:The answer is tennis ball

Explanation:

i know this cause I'm good at math and why wouldn't you trust a random guy off the internet.

Answer:

The object will travel at a constant rate in along a straight line.

Explanation:

In the given situation, it is mentioned that there is no external force acting on the given object. Thus, it will retain its initial velocity along a straight path.

An object given an initial velocity and no other forces acting on it will move at a constant rate in a straight line.

The object will move at a constant rate in a straight line.

If an object is given an initial velocity and no other forces act on it, it will continue to move at a constant speed in a straight line. This concept is a fundamental principle in physics known as Newton's first law of motion or the law of inertia. According to this law, an object in motion continues in motion with the same speed and in the same direction unless acted upon by an unbalanced force. In reality, there are usually forces like gravity and friction that can affect an object's movement, but, in theory (or in a vacuum), without those forces, an object's motion would remain unchanged.

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Answer:

B.

It will be greater than 10 J.

Explanation:

The total mechanical energy of an object is the sum of its potential energy (PE) and its kinetic energy (KE):

E = PE + KE

According to the law of conservation of energy, when there are no frictional forces on an object, its mechanical energy is conserved.

The potential energy PE is the energy due to the position of the object: the highest the object above the ground, the highest its PE.

The kinetic energy KE is the energy due to the motion of the object: the highest its speed, the largest its KE.

Here at the beginning, when it is at the top of the roof, the baseball has:

PE = 120 J

KE = 10 J

So the total energy is

E = 120 + 10 = 130 J

As the ball falls down, its potential energy decreases, since its height decreases; as a result, since the total energy must remain constant, its kinetic energy increases (as its speed increases).

Therefore, when the ball reaches the ground, its kinetic energy must be greater than 10 J.

Answer:

Explanation:

Answer:

a) [tex]1209.6 kg m^2/s[/tex]

b) [tex]302.4 kg m^2/s[/tex]

Explanation:

a)

The angular momentum of an object in circular motion is given by the formula

[tex]L=m\omega r^2[/tex]

where

m is its mass

[tex]\omega[/tex] is its angular velocity

r is the distance of the object from the axis of rotation

For the child in this problem, we have:

m = 60 kg is his mass

r = 4 m is the radius of the merry-go-around

Here the child completes 1 revolution every 5 seconds; so his frequency is

[tex]f=\frac{1}{5}=0.2 Hz[/tex]

And so his angular speed is

[tex]\omega=2\pi f=2\pi 0.2=1.26rad/s[/tex]

Therefore, the angular momentum is

[tex]L=(60)(1.26)(4)^2=1209.6 kg m^2/s[/tex]

b)

For a child sitting halfway of the merry-go-around, his distance from the axis of rotation is

[tex]r=\frac{4 m}{2}=2 m[/tex]

The mass of the child is the same as before,

m = 60 kg

And the angular speed is the  same as well: in fact, the merry go around is a rigid body, so all its points cover the same angle in the  same time; so, they all have the same angular speed. Therefore,

[tex]\omega=1.26 rad/s[/tex]

Therefore, the angular momentum here is:

[tex]L=m\omega r^2 = (60)(1.26)(2)^2=302.4 kg m^2/s[/tex]

The correct answer is option C. The hydrogen bonding between the water molecules is much stronger than the dipole induced dipole forces between the water and nonpolar oil molecules.

Option C is correct because water’s hydrogen bonding is much stronger than the dipole induced dipole interactions between water and nonpolar oil molecules.

Why other options are incorrect:

The complete question is:

Which of the following best explains why oil and water don't mix?

a) Oil molecules can't dissociate into ions on dissolution into water.

b) The dispersion forces between the oil molecules are much stronger than the dipole induced dipole forces between the water and nonpolar oil molecules.

c) The hydrogen bonding between the water molecules is much stronger than the dipole induced dipole forces between the water and nonpolar oil molecules.

d) Water is too dense to allow the oil to dissolve in it  of the water is too oil is.

Answer:

I would strongly recommend Exploring Quantum Physics through Hands-on Projects for physics practicals.

Explanation:

The best book for physics practicals, particularly for university-level students, is often considered to be 'Principles and Practice of Physics' by Eric Mazur due to its clear examples and structured sequence. OpenStax's 'University Physics I' is an excellent alternative with open-source availability. A balance of textbooks, resources, and instructor guidance can provide a robust physics learning experience.

When searching for the best book for physics practicals, the University Physics I by Eric Mazur, entitled Principles and Practice of Physics, comes highly recommended. This book is known for its clear explanations, terminology consistency with other resources, and its sequence of content presentation. It is packed with worked-out examples and offers self-quiz conceptual questions that are crucial for understanding practical aspects of physics.

Alternatively, students looking for online and open-source textbooks can turn to resources like University Physics I at OpenStax, which offers an abundance of exercises and a more traditional presentation style. For computational physics enthusiasts, texts like A Practical Introduction to Computational Physics and Scientific Computing could be explored.

Ultimately, these books along with different ways to digest physics concepts, such as discussions with instructors and accessing resources in the Physics library, can cater to the diverse needs of physics students. It's important to consider one's own learning style and curriculum requirements when choosing the right practical physics text.

Answer:

    Actinide series     : All the elements in the actinides series are radiactive

Explanation:

The question is to fill in the blank which series of elements in the periodic table are radiactive.

The answer is the actnide series.

The actinide series is the elements in the same row as actinide since the same actnide (atomic number 89)  to the lawrencium (atomic number 103).

Among other elements, this series include thorium, uranium and plutonium which are very known as radiactive elements, since they are used in nuclear reactors, which use  nuclear fission reactions.

The reason for the radioactivity of these elements is the massive unstable nucleus.

A heavy nucleus means a large amount of positive charge (protons)  concentrated in a tiny region (the nucleus of the atom).

The electrostatic repulsion among those so many protons is not balanced by the strong nuclear force (from the neutrons) resulting in the unstability (radioactivity) of the nucleus.

In a radioactive decay series, not all elements are radioactive. The series includes most of the naturally radioactive elements, but each series concludes with a stable, non-radioactive end-product, typically a stable isotope of lead.

The question you've asked relates to Radioactive Decay Series. Naturally occurring radioactive isotopes of the heaviest elements fall into decay series. These series include most of the naturally radioactive elements of the periodic table such as the uranium series, the actinide series, and the thorium series. However, not all elements in these series are radioactive; each chain ultimately concludes with a stable end-product. For example, for all three mentioned series, the end-product is a stable isotope of lead. The concept of a decay series results from heavy nuclei decaying to a lighter one, with the lighter, daughter nucleus becoming the parent nucleus for the next decay.

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Answer:

Explanation:

Field lines are lines of forces around a bar magnet. The show the direction of force field in a magnet.

Usually, around a bar magnet, the field lines originates and spreads out from the north pole.

Then they converge and enter through the south pole.

Therefore, we can make our choice by inspecting the given diagram. If the lines enters through the pole, it is the south pole.

Where they originate or leave is the north pole.

In a magnet, the lines (forces) always enter through the south pole and leave through the north pole.

I hope that helps ya'll.

- sincerelynini

According to the USDA, 40% of our food worth $161 billion is not even harvested, lost in processing, thrown away in restaurants and homes or ended up rotting in America’s landfills. It is also reported that 50% of the produce is never consumed.

Disparities in food distribution and availability imply that numerous communities and neighborhoods have very constrained access to fresh affordable food. Also, a significant number of those with a bounty of food choose to toss it rather than donate it.  

Another type of food waste comes from produce discarded by millions of backyard cultivators due to their gardens producing far more fruits and vegetables than they might use, preserve or give to friends and neighbours.

Final answer:

The change in momentum of the hockey puck is 1 kg·m/s.

Explanation:

The change in momentum of an object can be calculated using the equation: change in momentum = force x time.

In this case, the force applied to the hockey puck is 10 N and the time period over which the force is applied is 0.1 s. Therefore, the change in momentum of the hockey puck is 10 N x 0.1 s = 1 kg·m/s.

Answer:

Your center of gravity

Explanation:

like everyone has there own center of gravity by there weight because that is going to see hows your balance, if I'm right

The center of gravity is the point where the total weight of a body is concentrated, but it may not always be on the body itself. This can be observed in situations like an unbalanced car wheel or a human standing, where the center of mass does not align with the geometric center.

The center of gravity of a body is the point where the total weight of the body is assumed to be concentrated. However, it does not necessarily need to be located on the body itself. This concept is particularly important in understanding the balance and stability of objects. For instance, a car wheel that has not been balanced properly has a center of mass that does not coincide with its geometrical center. Moreover, in a situation like a human standing, by shifting their weight, they can cause the center of mass to hang in space - a point that might not correspond with any actual material part of the body.

Three-dimensional bodies demonstrate this when they are in motion, such as when a stick is thrown in the air and seems to rotate around a single point. This occurs because the center of mass carries the whole mass of the body, contributing to the observed motion. Even large structures, such as buildings or cruise ships, despite their size, are located in a uniform gravitational field on Earth, which means the acceleration due to gravity is constant and the center of gravity and center of mass coincide.

Objects with odd shapes or missing parts can also have a center of gravity outside their physical form. Imagine a horseshoe where the center of gravity would be somewhere near the bottom, even though there's no material there.

Consider a hollow ring, the mass is concentrated around the rim, not in the center. As a result, the center of gravity would lie somewhere within the ring, not necessarily on the actual body.

Answer:

land scaping

Explanation:it makes your yard look lit imfao

Answer:

class #3

Explanation:

The soils are deep, well-drained, easily worked, hold water well and are either fairly well supplied with plant nutrients or highly responsive to the application of fertilizers.

Answer:

[tex]ME=459,364J[/tex]

Explanation:

Mechanical Energy=Potential Energy+ kinetic Energy

[tex]m=82kg,g=9.8N/kg,h=490m,v=40m/s[/tex]

To calculate Kinetic Energy:-

[tex]KE=\frac{1}[2}mv^2\\=\frac{1}{2}\times82kg \times(40m/s)^2\\=65600J[/tex]

To calculate Potential Energy:-

[tex]PE=mgh\\=82kg \times9.8N/kg \times490\\=393764[/tex]

therefore,

[tex]ME=KE+PE\\=65600+393764\\=459364J[/tex]

The skydiver's total mechanical energy is 459365J

Final answer:

The total mechanical energy of an 82-kg skydiver moving at 40 m/s at an altitude of 490 m above the ground is calculated as 458876 Joules, which includes both kinetic and potential energy.

Explanation:

Calculating Total Mechanical Energy of a Skydiver

To calculate the total mechanical energy of a 82-kg skydiver moving at a speed of 40 m/s at an altitude of 490 m above the ground, we need to consider both kinetic and potential energy.

Kinetic energy (KE) is given by the formula: KE = 0.5 Times m times v2

Gravitational potential energy (PE) is given by the formula: PE = m  times g Times h

Where:

m is the mass of the skydiver (82 kg)

v is the velocity (40 m/s)

g is the acceleration due to gravity (9.8 m/s2)

h is the height above the ground (490 m)

Now we perform the calculations:

KE = 0.5  imes 82 kg times (40 m/s)2 = 0.5 times 82 times 1600 = 65600 J

PE = 82 kg times 9.8 m/s2 times 490 m = 82 times 9.8 times 490 = 393276 J

The total mechanical energy (Etotal) is the sum of kinetic and potential energy:

Etotal = KE + PE = 65600 J + 393276 J = 458876 J

Therefore, the total mechanical energy of the skydiver is 458876 Joules.

The acceleration of the car is 3.3 m/s²

Explanation:

Given-

Speed of the car, (we can  represent as s) = 60 km/hr = 60 × [tex]\frac{5}{18}[/tex] = 16.67 m/s

Time,(we can  represent as  t) = 5 s

Acceleration, (we can represent as a) = ?

We know,

a = [tex]\frac{s}{t}[/tex]

a = [tex]\frac{16.67}{5}[/tex]

a = 3.334 m/s²

The acceleration of the car  is 3.3 m/s²

a) 1 A° corresponds to 1.22 B°

b) [tex]105.4^{\circ}B[/tex]

Explanation:

a)

The image of the problem is missing: find it in attachment.

Here we have two temperature scales:

- In scale A, the freezing point is at [tex]-30.0^{\circ}A[/tex], while the boiling point is at a temperature of [tex]+60.0^{\circ}A[/tex]

- In scale B, the freezing point is at [tex]+20.0^{\circ}B[/tex], while the boiling point is at a temperature of [tex]+130.0^{\circ}B[/tex]

The freezing point and the boiling point must be at the same absolute temperature on the two scales: this means that the interval

(boiling point - freezing point)

must be the same in the two scales.

For scale A, this interval is equal to:

[tex]\Delta T_A = +60.0-(-30.0)=90.0^{\circ}A[/tex]

For scale B, this interval is equal to:

[tex]\Delta T_B=+130-(+20)=110^{\circ}B[/tex]

Therefore, 1 degree on the A scale corresponds to:

[tex]\frac{x^{\circ}B}{1^{\circ}A}=\frac{110^{\circ}B}{90.0^{\circ}A}\\x^{\circ}B=\frac{110}{90}\cdot 1=1.22[/tex]

So, 1 A° corresponds to 1.22 B°.

b)

The temperature of the substance on the A scale is

[tex]T_A=+40.0^{\circ}A[/tex]

This means that the difference of its temperature relative to the freezing point on the A scale is

[tex]\Delta T_A=+40.0-(-30.0)=70.0^{\circ}A[/tex]

In part A, we stated that 1 degree on the A scale corresponds to 1.22 degrees on the B scale, so this temperature interval on the B scale is

[tex]\Delta T_B=1.22\Delta T_A=1.22(70)=85.4^{\circ}B[/tex]

And therefore, the temperature of the substance on the B-scale is equal to the freezing point (on the B scale) plus this interval:

[tex]T_B=+20.0+85.4=105.4^{\circ}B[/tex]

To convert temperature readings from scale A to scale B, find the ratio of the differences between the boiling and ice points on each scale, then use this ratio to multiply the temperature on scale A.

The subject matter of the question is temperature conversion between two different scales - scale A and scale B. To answer the questions:

For example, if the boiling point of water is 100A and 80B, and the ice point is 0A and 20B, the calculation would be (80B-20B)/(100A-0A) = 0.6 B/A. Therefore, if a temperature reads +40.0A, it would read 0.6*40=24B on the B scale.

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Answer:

2 × 10⁸J/kg

Explanation:

Specific latent heat of vaporization (steam)  is the quantity of heat required or needed to change a unit of mass of liquid to gaseous state at constant temperature (boiling point) and pressure.

It can be calculated mathematically using,

Q = mL

Where,  Q = quantity of heat

m= mass in kg

L = specific latent heat (J/kg)

Therefore,from the question

Q= 15000000J

mass (m)  = 75g = 75/1000 kg = 0.075kg

Q = mL

L = Q/m

L = 15000000  ÷ 0.075

L= 200000000J/kg

L = 2 × 10⁸J/kg

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Answer:

The correct statements  are:

Explanation:

The answer choices are:

The electric field is the electrostatic force per unit of charge,  

         [tex]\vec E=\dfrac{\vec F}{Q}[/tex]

around around a charge, where another charge would experience the electrostatic force.

The electric field lines are shown in a diagram with arrows ditributed radially away from a positive charge and radially toward a negative charge.

Since the arrows are away from Q, Q is a positive charge: statement D.

Since the size of the arrows decreases as you move away  from Q the stregth of the field is not uniform: statement A.

Since the charge Q is positive, a negative charge would be attracted toward it: statement E.

Answer:

.

Explanation:

Answer:

d. A voltage causes electric charges to move from higher to lower potential.

Explanation:

Answer:

Explanation:

Weight is the earth pull of an object to itself.

The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity.

The unit of weight is Newton and it is a vector quantity, it is directed downward vertically.

W= mg.

Where g varies but the gravity on earth is 9.81m/s² approximately.

Given that,

m=10kg, g=9.81

Then,

W=mg

W=10×9.81

W=98.1N

Answer:

34.62m/s^2

Explanation:

Force = mass x acceleration

Given

Force = 1800N

Mass = 52kg

Therefore

1800 = 52 x a

Divide both sides by 52

1800/52 = 52/52 x a

34.62 = a

a = 34.62m/s^2

Answer:

I = 4.28 [amp]

Explanation:

To solve this type of problems we must have knowledge of the law of ohm, which tells us that the voltage is equal to the product of resistance by current.

Initial data:

v = 1.5 [volt]

R = 0.35 [ohms]

v = I * R

therefore:

I = 1.5 / 0.35

I = 4.28 [amp]

Final answer:

Using Ohm's Law, the current in the circuit with a voltage of 1.5 volts and a resistance of 0.35 ohms is calculated to be approximately 4.286 amperes.

Explanation:

To determine the current in the circuit, we can use Ohm's Law, which is stated as I = V/R, where I is the current in amperes, V is the voltage in volts, and R is the resistance in ohms. Given that the voltage (V) is 1.5 volts and the resistance (R) is 0.35 ohms, we can substitute these values into the equation to calculate the current.

Thus, the current (I) can be calculated as follows:

I = 1.5V / 0.35Ω = 4.286 amperes (approx).

This means that the current flowing through the circuit is approximately 4.286 amperes.

The refractive index of the liquid is 1.52. The substance is a crown glass.

Explanation:

Given:

Velocity of light through the substance, v = 1.97 X 10⁸ m/s

Refractive index of the liquid, μ = ?

We know,

μ = [tex]\frac{c}{v}[/tex]

where, c = velocity of light in air

            v = velocity of light in the substance

speed of light in air is 3 X 10⁸m/s

[tex]= \frac{3 X 10^8}{1.97 X 10^8} \\\\= 1.52\\[/tex]

Therefore, refractive index of the liquid is 1.52. The substance is a crown glass.

n = 1.52

Index of the liquid = 1.52

The type of the liquid is Crown glass.

Explanation:

In finding the index of refraction, we use this formula

n = c/v

where n is the index of refraction

c is velocity of light in vacuum which is constant and is equivalent to [tex]3 \times 10^{8} \mathrm{m} / \mathrm{s}[/tex]

v is the velocity of light in a particular medium

Here we use [tex]1.97 \times 10^{8} \mathrm{m} / \mathrm{s}[/tex]

Using the formula,

n = c/v

n = [tex]3 \times 10^{8} / 1.97 \times 10^{8}[/tex]

n = 1.52284264

n = 1.52

Thus, the index of the liquid is 1.52

Answer:

40.6 N/m

Explanation:

From Hooke's law we relate the extension of a spring and the applied force by the formula F=kx where F is the applied force, k is spring constant and x is extension of spring.

Making k the subject of the formula then we have

[tex]k=\frac {F}{x}[/tex]

We also know that F=gm where g is acceleration due to gravity which we take as 9.81 m/s2 while m is the mass. Substituting F with gm into the formula we get that

[tex]k=\frac {gm}{x}[/tex]

Substituting m for 5.8 kg and x for 1.4 m we get the spring conatant as

[tex]k=\frac {9.81\times 5.8}{1.4}=40.641428571428\ N/m\approx 40.6\ N/m[/tex]

Therefore, the spring constant is approximately 40.6 N/m

The acceleration of the block is 4 m/s².

To find the acceleration of the 1kg block in the given diagram, we need to calculate the total force acting on the block and then divide it by the mass of the block.

Since there are three forces acting on the block, we can find the resultant force by adding these forces together.

In this case, the forces are 5N, 4N, and 5N in different directions.

Combining these forces, we get a net force of 4N in the horizontal direction.

Since the mass of the block is 1kg, the acceleration can be calculated using Newton's second law of motion: F = ma.

Therefore, the acceleration of the block is 4 m/s².

Answer:

c I hope this helpssssss :)