Two students are working together to build a birdhouse. Student 1 applies a force of 10 N to a wooden board in order to slide it across the table to Student 2.

Answer:

(a)     T = 4.09*10^-8 s

(b)     r = 0.19m

Explanation:

(a) In order to determine the rotational period of the protons, you first calculate the angular speed of the proton. You use the following formula for the radius of the trajectory described by the electron in a region with a constant magnetic field:

\(r=\frac{mv}{qB}\)               (1)

m: mass of the proton = 1.67*10^-27 kg

q: charge of the proton = 1.6*10⁻19C

B: magnitude of the magnetic field = 1.6T

v: speed of the proton = 0.1c = 0.1(3*10^8m/s) = 3*10^7m/s

The angular speed of the proton is v/r, then, you solve for w in the equation (1) and replace the values of the parameters:

\(\omega=\frac{v}{r}=\frac{qB}{m}\\\\\omega=\frac{(1.6*10^{-19}C)(1.6T)}{1.67*10^{-27}kg}=1.53*10^8\frac{rad}{s}\)

The rotational period T is:

\(T=\frac{2\pi}{1.53*10^8rad/s}=4.09*10^{-8}s\)

(b) The radius of the protons' orbit is calculated by using the equation (1):

\(r=\frac{(1.67*10^{-27}kg)(3*10^7m/s)}{(1.6*10^{-19}C)(1.6T)}\\\\r=0.19m\)

The radius of the protons' orbit is 0.19m

The total resistance and current flowing through the circuit is equal to 60 Ohms and 2 Amperes respectively.

Given the following data:

Resistors = 20 Ohms.

Voltage = 120 Volts.

Since the three resistors are connected in series, we would calculate their total resistance by adding them up as follows:

RT = R1 + R2 + R3

RT = 20 + 20 + 20

RT = 60 Ohms.

Next, we would determine the current that is flowing through the circuit by applying Ohm's law.

From Ohm's law, we have:

V = IR

I = V/R

I = 120/60

I = 2 Amperes.

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The minimum water temperature required when using hot water to sanitize objects is typically 171°F (77°C).

The minimum water temperature required for sanitizing objects depends on various factors, including the specific guidelines and regulations set by health and safety authorities. However, a commonly recommended temperature for hot water sanitization is 171°F (77°C).

At this temperature, the hot water is effective in killing or reducing the number of microorganisms present on the objects being sanitized. The heat helps to denature proteins and disrupt the cellular structure of microorganisms, rendering them unable to survive or reproduce.

It's important to note that the specific temperature and duration of hot water sanitization may vary depending on the type of object being sanitized and the specific requirements of the industry or facility. Additionally, other methods such as chemical sanitization or a combination of heat and chemicals may also be used for effective sanitization.

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Temperature: Higher temperatures increase the energy and therefore the movement of the molecules, increasing the rate of diffusion. Lower temperatures decrease the energy of the molecules, thus decreasing the rate of diffusion. Solvent density: As the density of a solvent increases, the rate of diffusion decreases.

Answer:

Displacement = 2.83km

Explanation:

Given

\(South = 1.5km\)

\(East = 2.4km\)

Required

Determine the displacement

See attachment for proper representation of the cat's movement.

The displacement is represented by the slanted line and it is calculated as follows:

\(D\² = S\² + E\²\)

\(D^2 = 1.5\² + 2.4\²\)

\(D\² = 2.25 + 5.76\)

\(D\² = 8.01\)

\(D = \sqrt{8.01}\)

\(D = 2.83019434\)

D = 2.83 km (approximated)

The acceleration of the car at the top of the hill is 6.6 m/s²

acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.

The third kinematic equation is applied to determine the car's tangential acceleration, as illustrated below: v2 = u2 + 2as, where a represents the vehicle's acceleration.

2x50 a = -5.25 m/s²;

2as = v² - u² a

= v²-u² / 2s

a = 102 - 252

At the summit of the hill, the car's centripetal acceleration is given as ac=v²/r

ac=10²/25

ac=4 m/s2.

At the summit of the hill, the car's net acceleration is computed as follows: a net = a2 + ac

a net = (-5.25)2 + 42

a net = 6.6 m/s2.

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Complete Question -

A 1600 kg car is traveling over a hill that has a radius of curvature of 25 m. The car is slowing down as it goes over the hill. It slows down at a constant rate from a speed of 25 m/s to a speed of 10 m/s over a distance of 50 m ending at the top of the hill. The net acceleration of the car at the top of the hill is most nearly

The ring exerts a force on the rider at the top of the ride, which is equal to the gravitational force on the rider and is approximately 579.39 N.

The force with which the ring pushes on the rider at the top of the ride is equal to the normal force exerted by the ring on the rider, which is also equal to the gravitational force on the rider. The gravitational force on the rider can be calculated using the formula F = mg, where m is the mass of the rider and g is the acceleration due to gravity. Therefore, the force is approximately 579.39 N. At the top of the ride, the net force acting on the rider is zero, so the normal force exerted by the ring must be equal and opposite to the gravitational force. Without knowing the radius of the ring, we cannot calculate the velocity of the rider or the centripetal force. However, if the radius of the ring is very large compared to the size of the rider, then the centripetal force will be negligible, and the normal force will be approximately equal to the gravitational force.

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Answer:

Temperature

Explanation:

Answer:

True

Explanation:

Because it is:)

Given the graph of period vs amplitude.

It can be seen from the graph that the plot of the period versus amplitude is almost a horizontal line. That is, as the amplitude increase, the period of the pendulum remains almost unchanged.

This is also consistent with the fact that the period of the simple pendulum indeed does not depend upon its amplitude.

Thus, according to the graph, the period does not depend on the amplitude.

Answer:

Work and power​  is described below in complete details.

Explanation:

Work is described as the method of energy change to the movement of an object through the employment of force. This is ordinarily expressed as the outcome of power and displacement. The SI unit of work is Joule. Power is described as the quantity of energy conveyed in unit time. Power is a measure of the amount of work performed per unit of time.

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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The average frequency will you hear at two tuning forks having frequencies of 442 and 448 hz are struck simultaneously = 445 Hz

The beat frequency equals the total value of the frequency difference between the two waves. Beat frequency is defined as the number of beats per second that corresponds to the difference in frequencies of two waves.

When two incoherent waves with slightly different frequencies interact, the phase shifts over time.

The average of two frequencies is equal to their sum divided by their count, which is two:

f average = (f 1 + f 2) / 2

= (442 + 448) / 2

= 445 Hz

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Uranus and Neptune have only enough mass to make Option c. 15 piles of earth

Jupiter is the fifth planet from the sun and the largest within the sun gadget. it is a fuel massive with a mass greater than two and a half of instances that of all of the other planets inside the solar machine combined, but barely much less than one-thousandth the mass of the solar.

Uranus is the 7th planet from the sun. Its call is a connection with the Greek god of the sky, Uranus, who, according to Greek mythology, became the exquisite grandfather of Ares, grandfather of Zeus, and father of Cronus. It has the 1/3-largest planetary radius and the fourth-largest planetary mass within the sun machine.

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Disclaimer:- your question is incomplete, please see below for the complete question.

Jupiter has enough mass to make 318 earths. In contrast, uranus and Neptune have only enough mass to make.

a. 100 Earths

b. 70 Earths

c. 15 Earths

d. 2 Earths

e. you can't fool me, Uranus and Neptune have a lot of ice, and so have much more mass than Jupiter

When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, the magnetic induction (B) is increased.

Therefore, the correct answer is:

(a) There is a large increase in the magnetic induction (B)

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Answer:

m=6.25kg

Explanation:

Force= mass × acceleration

50=m×8

make m subject of the formula...

m=50/8

m=6.25kg

Answer:

\(\boxed {\boxed {\sf 6.25 \ kilograms}}\)

Explanation:

According to Newton's Second Law of Motion, force is the product of mass and acceleration.

\(F= m \times a\)

We know the force is 50 Newtons and the acceleration is 8 meters per second squared. Let's convert the units to make the problem and unit cancellation easier.

1 Newton is equal to 1 kilogram meter per square second (1 kg*m/s²), so the force of 50 N is equal to 50 kg*m/s².

Now we know 2 values:

Substitute the values into the formula.

\(50 \ kg *m/s^2= m \times 8 \ m/s^2\)

Since we are solving for the mass, we must isolate the variable, m. It is being multiplied by 8 meters per square second and the inverse of multiplication is division. Divide both sides by 8 m/s².

\(\frac {50 \ kg *m/s^2}{8 \ m/s^2}= \frac{m \times 8 \ m/s^2}{8 \ m/s^2}\)

\(\frac {50 \ kg *m/s^2}{8 \ m/s^2}= m\)

The units of meters per square second (m/s²) cancel.

\(\frac {50 \ kg }{8 }=m\)

\(6.25 \ kg =m\)

The mass is 6.25 kilograms.

The book moves towards the right. So the correct answer is Option D.

According to the free body diagram, the upward and downward forces are equal in magnitude as they have the same length of the vector but are directed in opposite direction.So these two components of force nullify each other. The force vectors towards the right side and left side are opposite in direction but are not equal in magnitude. Since the length of the force vector towards the right side is longer in length than that towards the left side, hence they do not nullify each other. The forces are unbalanced and the net force is directed towards the right side. So the book moves towards the right side.

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Answer:

Direct relation

Explanation:

When an object of mass m is moving with some velocity v, it will have kinetic energy. It is possessed by an object whenever an object is in motion. It can be given by the below formula.

\(E_k=\dfrac{1}{2}mv^2\)

It is very clear that the kinetic energy of an object is directly proportional to its mass. When the mass increases, its kinetic energy increases directly.

Answer:

$10 a g

Explanation:

Answer:

As The mass of the beach ball is having lowest magnitude when compared with the other balls given so when apply the same magnitude of force to all the balls then the beach ball due to its lighternessand also its inertia of rest would not resist the force so much so when you apply the force to this ball it would starts to roll and covers the maximum diatance whwn compared with the other ball only in the condition when same magnitude of force applied.Thats this ball would do more work than the other ball.The mass also influences the velocity carried by the body and also the kinetic energy possessed by the body. More the force applied more the distance it would cover

Hope it helps

The net electric flux through the spherical closed surface is approximately -1.61 N · m² / C.

To find the net electric motion through the circular shut surface, we really want to ascertain the electric transition contributed by each charge and afterward summarize them. The electric motion through a shut surface is given by the recipe:

Φ = ∫∫ E · dA

where Φ is the electric transition, E is the electric field, and dA is the differential region component.

For q1, which is outside the round surface, the electric motion through the surface due to q1 is zero. This is on the grounds that the electric field lines from q1 are spiral and opposite to the surface, bringing about no electric motion going through it.

For q2 and q3, which are inside the round surface, we want to exclusively compute the electric motion. The electric transition through a shut surface because of a point charge q inside the surface is given by:

Φ = q/ε₀

where ε₀ is the permittivity of free space.

Utilizing the given qualities, the electric transition due to q2 is 1.09 nC/ε₀ and the electric motion due to q3 is - 2.7 nC/ε₀.

To find the net electric motion, we summarize the singular electric transition commitments:

Net Electric Transition = (1.09 nC/ε₀) + (- 2.7 nC/ε₀)

Improving on the articulation, the net electric transition is given by:

Net Electric Motion = (1.09 nC - 2.7 nC)/ε₀

Ascertaining the numerator, we have - 1.61 nC/ε₀.

Hence, the net electric transition through the round shut surface is - 1.61 nC/ε₀ or - 1.61 N · m²/C.

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The voltage of the battery is  9 V. Voltage is referred to as the difference in potential energy between any two locations on a circuit.

Q=CV is the equation for the electrical charge that is held in a capacitor. Q is the electric charge, which is measured in coulombs (C), C is the capacitance value, which is measured in farads (F), and V is the applied voltage, which is measured in volts (V).

The fundamental unit of physical measurement in the meter-kilogram-second-ampere (mks) system of measurement is the coulomb. It is referred to as C. The amount of power carried by a one-ampere current in a second is known as a coulomb.

Total capacitor \((C_T)= C_1+C_2\)

\(C_T=2.0+3.0\)

\(C_T=5.0\) μF

Electric charge:

\(Q=CV\)

4.50×10^-5 = 5μF×V

\(V=\frac{4.50*10^-5}{5.0*10^-6}\)

\(V=9V\)

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The electric potential energy of the charge is 2.7 J. The formula to calculate electric potential energy is U = q × V, where U is the potential energy, q is the charge, and V is the electric potential. Plugging in the given values, U = (4.5 × 10^-5 C) × (2.0 × 10^4 N/C) × (0.030 m) = 2.7 J.

The electric potential energy (U) of a charged object in an electric field is given by the formula U = q × V, where q is the charge of the object and V is the electric potential at the location of the object.

In this case, the charge (q) is 4.5 × 10^-5 C, and the electric field strength (V) is 2.0 × 10^4 N/C. The distance of the charge from the source of the electric field is given as 0.030 m.

Plugging in the values into the formula, we have U = (4.5 × 10^-5 C) × (2.0 × 10^4 N/C) × (0.030 m). Simplifying the expression, we get U = 2.7 J.

Therefore, the electric potential energy of the charge is 2.7 Joules.

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Hudson Bay is the  restricted basin that has the coolest temperatures

Hudson Bay is a restricted basin which  remains frozen or is dominated by ice over the summer solstice and through- out much of the high-sun season. This basin experiences a harsh continental climate.

The average annual temperature in almost the entire bay is around 0 °C (32 °F) or below. In the extreme northeast, winter temperatures average as low as −29 °C or −20.2 °F. The region of this basin has very low year-round average temperatures.

This basin starts freezing up by early November, and the northern part of the basin is typically entirely iced over by the end of the month.

correct answer is Hudson bay

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To find the resultant force we will first find the component force of the forces given, to do this, we need to remember that any vector can be express in component form by:

For force u we notice that its magnitude is 280 N and its angle is zero, then we have:

For force v we know that its magnitude is 135 N and its angle is 45°, then we have:

Now that we have both vectors in component form we add them to get the resultant in component form:

Once we have the resultant force in component form we can find its magnitude and direction if we remember that they are given by:

Plugging the values we found for the components we have:

and

Therefore, the magnitude of the resultant force is 387.41 N and the direction is 14.27°

Answer:

The fringes are 4.7*10^-7 m apart, such that they are adjacent.

Explanation:

Using the formula for adjacent fringes given a single slit:

Δ\(x=\frac{(Wavelength)(Distance between slit and screen)}{Width}\)

Δ\(x=\frac{(590/10^{9})(1.90) }{(2.30)}\)

Δ\(x=0.000000487 m\)

Hope this helps!

The distance between the first-order and second-order dark fringes on the screen will be 4.874 × 10⁻⁵ cm.

Given:

wavelength, λ = 590 nm = 590 × 10⁻⁹ m

Distance between the slit and screen, D = 1.90 m

Width of slit, d = 2.30 m

Calculation:

We know that the distance between two slits is given as:

Δx = λD / d

where  λ is the wavelength of light

           D is the distance between the slit and screen

           d is the width of the slit

Applying values in the above equation we get:

Δx = (590 × 10⁻⁹ m)(1.90 m) / (2.30 m)

    = 4.874 × 10⁻⁷ m

    = 4.874 × 10⁻⁵ cm

Therefore, the distance between the first- and second-order dark fringes on the screen will be 4.874 × 10⁻⁵ cm.

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The breakup of a supercontinent such as Pangaea could result in an increase in species diversity.

When a supercontinent breaks up, it leads to the formation of new landmasses, oceans, and environmental conditions. This provides opportunities for species to evolve and adapt to new habitats, which can result in the emergence of new species. Furthermore, the separation of previously connected landmasses can allow for the development of distinct evolutionary lineages, which can further contribute to an increase in species diversity. Thus, the breakup of a supercontinent can lead to an increase in species diversity. On the other hand, the breakup of a supercontinent would not necessarily lead to a reduction in the area of continental interiors or an increase in world shoreline. The area of continental interiors would depend on the size and distribution of the newly formed continents, which could vary depending on the specific tectonic processes involved. Similarly, the amount of world shoreline would depend on the size and position of the new landmasses relative to the oceans, which could also vary.

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Answer:

Damp Proofing:

Explanation:

The presence of damp proofing is very necessary to maintain the health of a structure. DPC plays an important role in all types of buildings and it should be necessary to know about the importance, requirements, and properties of DPC. In many of the buildings all over the world, the rising damp may be due to a damaged damp-proof course, or sometimes, there may be not any damp proof course in a building.

MCB is more sensitive to current than the fuse. It detects any abnormality in the current flow and automatically switches off the electrical circuit. In the case of MCB, the fault zone of the electrical circuit can be easily identified. ... But in case of the fuse, the entire fuse wire needs to be replaced.

Given that the number of hailstones is n = 562

The mass of hailstone is m = 2 g = 0.002 kg

The speed of hailstone is v = 5.8 m/s

The time taken will be t = 92 s

The angle is

We have to calculate the force.

The force can be calculated by the formula

Substituting the values, the force will be

The process of charge separation, driven by updrafts and downdrafts in a thunderstorm, causes regions within the storm cloud to become oppositely charged, leading to the Electrostatic discharge known as lightning.

Lightning occurs due to electrostatic discharge between two electrically charged regions within a thunderstorm. These regions become oppositely charged through a process called charge separation.

Charge separation begins when updrafts and downdrafts within a thunderstorm cause ice particles, hail, and water droplets to collide. During these collisions, electrons are transferred between particles, resulting in some particles becoming positively charged while others become negatively charged.

The lighter, positively charged ice particles are carried upward by the updrafts, accumulating at the top of the storm cloud. Conversely, the heavier, negatively charged particles, such as hail, are carried downward by gravity and downdrafts, accumulating at the base of the cloud.

This separation of charges creates an electric field between the top and bottom regions of the cloud. When the electric field becomes strong enough, it overcomes the air's insulating properties, allowing electrons to flow from the negatively charged region to the positively charged region. This flow of electrons results in a lightning discharge.

In summary, the process of charge separation, driven by updrafts and downdrafts in a thunderstorm, causes regions within the storm cloud to become oppositely charged, leading to the electrostatic discharge known as lightning.

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