Question 8: Unspooling Thread (100 points) A 110 g spool of thread with a 4.2 cm radius is held up by a peg through its center and allowed to freely rotate. Assume the thread is ideal (i.e., it does not stretch or slip, and its mass is negligibly small). A 160 g needle is tied to the loose end of the thread. The needle is dropped, and it accelerates to the floor as the thread unwinds. Find the tension in the thread and the magnitude of the acceleration of the needle as it falls.

Answer:

50 m/s

Explanation:

Hi.

just for little clarification, I'd explain what a tail wind is, if you don't mind.

A tail wind is a wind that moves in the direction of the aircraft. If an aircraft is moving in a direction northwards, then a tail wind is also a wind moving northwards.

Now to the question, the airplane is flying at, 150 km/h with a tail wind of 30 km/h.

The airplane's speed is then,

150 + 30 = 180 km/h

And to convert to m/s, we have

180 km/h = 180 * 1000/3600 m/s

180 km/h = 50 m/s

Answer:

Explanation:

A. The weight of the mass on the earth is 117.6 N

A. The weight of the mass on the moon is 19.56 N

Weight is defined as follow:

Weight (W) = mass (m) × Acceleration due to gravity (g)

W = mg

Now we shall determine the weight. Details below:

A. Weight on earth

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 12 × 9.8

Weight on earth = 117.6 N

B. Weight on moon

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 12 × 1.63

Weight on moon = 19.56 N

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Complete question:

The force of gravity on the Moon is said to be one-sixth of that on the Earth. What would a mass of 12 kg weigh; (a) on the Earth (b) on the moon

Answer:

The two balls pass each other at a height of 5.53 m

vf1=17.97 m/s

vf2=-5.96 m/s

Explanation:

Vertical Motion

An object thrown from the ground at speed vo, is at a height y given by:

\(y=vo.t-g.t^2/2\)

Where t is the time and \(g=9.8\ m/s^2\)

Furthermore, an object dropped from a certain height h will fall a distance y, given by:

\(y=g.t^2/2\)

Thus, the height of this object above the ground is:

\(H = h-g.t^2/2\)

The question describes that ball 1 is dropped from a height of h=22 m. At the same time, ball 2 is thrown straight up with vo=12 m/s.

We want to find at what height both balls coincide. We'll do it by finding the time when it happens. We have written the equations for the height of both balls, we only have to equate them:

\(vo.t-g.t^2/2=h-g.t^2/2\)

Simplifying:

\(vo.t=h\)

Solving for t:

\(t=h/vo=22/12=1.833\ s\)

The height of ball 1 is:

\(H = 22-9.8.(1.833)^2/2\)

H = 5.53 m

The height of ball 2 is:

\(y=12\cdot(1.833)-9.8\cdot(1.833)^2/2\)

y=5.53 m

As required, both heights are the same.

The speed of the first ball is:

\(vf1=g.t=9.8\cdot 1.833=17.97\ m/s\)

vf1=17.97 m/s

The speed of the second ball is:

\(vf2=vo-gt=12-9.8\cdot 1.833=-5.96\ m/s\)

vf2=-5.96 m/s

This means the second ball is returning to the ground when both balls meet

Answer:

it will be 8.9 over 3 m/s/s or m/s square

Explanation:

acceleration equal to speed over time

The correct answer is :

P = ρgh yields the hydrostatic pressure, which is accurate.

The pressure a liquid applies to nearby bodies when it is at rest is known as hydrostatic pressure.

Water at rest exerts a force known as hydrostatic pressure. It is caused by the water's continual pressure on the basement walls.

The force that blood applies to blood channel walls is a typical illustration of hydrostatic pressure.

Depending on the liquid's density ('ρ'), the height of the water column ('h'), and the acceleration caused by gravity ('g'), the hydrostatic pressure is indicated by the letter "P" of a liquid column.

Because of this, the parameters and the supplied equation P = gh are both accurate.

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Answer:

c

Explanation:

Superconductors perform best at very cold temperatures because resistivity of this kind of materials decays drastically with temperature. Chromium is most likely to be the best conductor of electricity because it belongs to the Transition Metal group of the periodic table

Answer:

A. The fugacity in the vapor phase at T = 323 K and P = 10 kPa:

Explanation:

Answer:

Unbalanced

Explanation:

The following statement is not a scientific hypothesis:

C. Halle Berry is attractive.

A scientific hypothesis is a proposed explanation for an observation or pattern in nature that can be tested through further investigation and experimentation. It should be testable, falsifiable, and based on evidence.

Neon atoms emit red light. This is a scientific hypothesis that can be tested and confirmed by looking at the spectrum of light emitted by neon atoms.

B. There is an attractive force between the earth and moon. This is a scientific hypothesis that can be tested and confirmed by measuring the force of gravity between the earth and moon.

D. Summer days are the hottest of the year. This is a scientific hypothesis that can be tested and confirmed by collecting temperature data during the summer months.

E. The sky is blue. This is a scientific hypothesis that can be tested and confirmed by observing the sky under different atmospheric conditions.

The statement "Halle Berry is attractive" is a subjective opinion that cannot be tested or confirmed through scientific investigation, hence it is not a scientific hypothesis. Attractiveness, as a concept, can vary widely based on personal, cultural, and social factors.

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a) The evidence that lead to the development of the principle of mass-energy equivalence is During nuclear fission and fusion reactions, mass is not conserved, but energy is released. So, correct option is A.

b) The particles that make up the atomic mass are protons and neutrons. So, correct option is D.

a) The principle of mass-energy equivalence, which states that mass and energy are interchangeable, was developed based on the observation of nuclear reactions, particularly during nuclear fission and fusion.

During these reactions, the total mass of the products is slightly less than the mass of the reactants, and this difference is converted into energy according to the famous equation E=mc², where E is energy, m is mass, and c is the speed of light.

This equation showed that a small amount of mass can be converted into a large amount of energy, which was confirmed by experiments involving nuclear reactions. The principle of mass-energy equivalence revolutionized physics and provided a new understanding of the relationship between mass and energy.

So, correct option is A.

b) The atomic mass of an atom is primarily determined by the number of protons and neutrons in its nucleus. Protons are positively charged particles and are responsible for determining the atomic number, which defines the element.

Neutrons, on the other hand, are neutral particles that contribute to the stability of the nucleus by balancing the electrostatic repulsion between protons. Electrons, which orbit the nucleus, have negligible mass compared to protons and neutrons and therefore do not significantly contribute to the atomic mass.

The sum of the number of protons and neutrons in the nucleus is known as the mass number, and it determines the atomic mass of an atom.

Therefore, correct option is D.

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The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J

First, we shall list out the given parameters from the question. This is shown below:

The quantity of heat energy that must be transferred can be obtained as follow:

Q = MCΔT

= 2.25 × 394 × 220

= 195030 J

Thus, we can conclude quantity of heat energy that must be transferred is 195030 J

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The height that will illustrate the distance will be d = 6.36m

Based on the information given, the length of the vine will be:

L = ✓(16² + 27.7)²

L = 32m

The velocity of Jane when she reaches position B will be:

V = ✓2gh

V = ✓(2 × 9.8 × 4.3)

V = 9.18m/s

We will apply the conversation of momentum. This will be:

50 × 9.18 = (50 + 80)V1

V1 = 3.53m/s

Therefore, the height that will illustrate the distance will be:

31.36² + d² = 32²

d² = 32² - 31.36²

d = 6.36m

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Answer:

Iodine is most similar  to the other non- metals in the Halogen Family, such as Fluorine, Chlorine, Bromine, Astatine .

Explanation:

Answer:

20 kg

Explanation:

The kinetic energy (KE) of an object is given by:

KE = (1/2) * m * v^2

Where m is the mass of the object, and v is its velocity.

We can rearrange this formula to solve for the mass:

m = 2 * KE / v^2

Plugging in the values given:

m = 2 * 1000 J / (10 m/s)^2

m = 20 kg

Therefore, the mass of the Puffin flying at 10 m/s with 1000 J of KE is 20 kg.

Answer:

No

Explanation: An opinion is a judgment, viewpoint, or statement that is not conclusive, rather than facts, which are true statements.

Answer:

This problem involves the concept of a random walk, which is a mathematical model of a path consisting of a succession of random steps.

The question asks for the distance, R(n), from the center of a star after n steps of a photon, assuming a 2D random walk.

The random walk in two dimensions has a step length of A_i and the direction of the steps is uniformly distributed in [0, 2π). The change in position after each step can be written in Cartesian coordinates (Δx, Δy), where Δx = A_i cos(θ_i) and Δy = A_i sin(θ_i).

The displacement from the center after n steps is given by the vector sum of all the individual steps. This vector sum can be written in terms of its Cartesian coordinates, (X, Y), where X = Σ Δx and Y = Σ Δy. This sum over n random vectors is itself a random variable. The net displacement R(n) from the center of the star after n steps is given by the magnitude of the net displacement vector:

R(n) = √(X² + Y²)

Because each step is independent and has a random direction, the expected value of the cosine and sine for any step is zero. This means that the expected values of X and Y are both zero.

However, the mean square displacement is not zero. Because the steps are independent, the mean square displacement in each direction is additive. For a 2D random walk:

<X²> = Σ <(Δx)²> = n <(A cos θ)²> = n A²/2

<Y²> = Σ <(Δy)²> = n <(A sin θ)²> = n A²/2

Because <X²> = <Y²>, we can write:

<R²> = <X²> + <Y²> = n A²

So, the root mean square distance (the square root of the mean square displacement) after n steps is:

R(n) = √(<R²>) = √(n) * A

Therefore, the distance R(n) that the photon is expected to be from the center of the star after n steps grows as the square root of the number of steps, with each step having a length A. Please note that this result holds for a 2D random walk. A real photon in a star would be performing a 3D random walk, which would have slightly different characteristics.

Answer:

Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces.

Answer: False

Explanation:

Took the test.

Hide question 9 feedback

Rationale:

Ideal mechanical advantage is the ratio of input to output distance moved.

Displacement from her starting point is ​529m

What is Displacement?

"Displacement" describes a change in an object's location. It is a vector quantity since it has a magnitude and a direction. It looks like an arrow that leads from the beginning to the end.

Given :  A girl walks 600m north

           She then walks 800m east

To Find : Displacement from her starting point

Solution:                               North

                              West                        East

                                              South

North=600m

East =800m

We use Pythagoras Theorem

Displacement to be covered = \(\sqrt{800^{2} }\)- \(\sqrt{600^{2} }\)

                                                     529m

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Answer:

The Fundamental Quantity is a physical quantity that exists independently and cannot be expressed by any other physical quantity.

Explanation:

Examples of these could be : Length, electric current and mass

Hope this helps! :)

Answer:

hjcyysjjJjxjcmxmmsxjvemmzxjdndmenbxhfnhcjdnuxjd

Answer: A. If the surface aquifer has a high water table

Explanation:

The water table refers to the water level underground. If it is high, it means that the water underground is close to the surface such that if a well was dug, it would not need to be dug too far for water to be seen.

When heavy rain falls, flooding is avoided if the water is either able to run off efficiently or if the ground is able to absorb the water. When the water table is high, it means that the ground will not be able to absorb much because the water is already close to the surface which means that should heavy rain fall, there will most likely be a flood.

Answer:  the density of ivory in SI units is 1800 kg/m^3.

Explanation: To calculate the density of ivory in SI units, we use the formula density = mass/volume. We are given the mass of 25 cm^3 of ivory as 0.045 kg. Since volume is in cm^3, we need to convert it to SI units of m^3. 1 cm^3 is equal to 1 milliliter (ml), so 25 cm^3 is equal to 25 ml. To convert ml to m^3, we use the conversion factor 1 ml = 10^-6 m^3. We then substitute the values of mass and volume into the density formula and simplify. The resulting density is expressed in units of kg/m^3, which are the SI units for density. Therefore, the density of ivory in SI units is 1800 kg/m^3.

A car driving up a hill is gaining potential energy, as it goes up.

PE = m*g*h

where;

m= mass

g = acceleration due to gravity

h= height

Also, it has kinetic energy:

KE= 1/2 *m* v^2

v= velocity

C. both kinetic and potential

(a) The induced current in the circuit is clockwise.

b. To find the power (P) using P = Fd/t or P = Fv (since d/t = v). Here, F = ILB (from the Lorentz force), so P = (ILB)v.

(a) The induced current in the circuit is clockwise.

This can be determined using the right-hand rule.

As the metal bar moves to the left through the magnetic field directed out of the plane, the generated force on the electrons (Lorentz force) will push them toward the top rail, creating a clockwise current.

(b) To find the rate at which the applied force is doing work on the bar, first calculate the induced EMF (ε) using Faraday's law:

induced EMF (ε) using Faraday's law:

ε = BLv

= (0.65 T) * (0.36 m) * (5.9 m/s)

= 1.389 Tm²/s

= 1.389 V (since 1 Tm²/s = 1 V)

induced current (I) using Ohm's law:

I = ε/R

= 1.389 V / 45 Ω

= 0.03086 A

force (F) from the Lorentz force law, where F = ILB:

F = ILB

= (0.03086 A) * (0.36 m) * (0.65 T)

= 0.00723 N

Finally, we find the power (P) using P = Fv:

P = Fv

= (0.00723 N) * (5.9 m/s)

= 0.04266 W

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There is more to the Earth than what we can see on the surface. In fact, if you were able to hold the Earth in your hand and slice it in half, you'd see that it has multiple layers. But of course, the interior of our world continues to hold some mysteries for us. Even as we intrepidly explore other worlds and deploy satellites into orbit, the inner recesses of our planet remains off limit from us.

However, advances in seismology have allowed us to learn a great deal about the Earth and the many layers that make it up. Each layer has its own properties, composition, and characteristics that affects many of the key processes of our planet. They are, in order from the exterior to the interior – the crust, the mantle, the outer core, and the inner core. Let's take a look at them and see what they have going on.

Like all terrestrial planets, the Earth's interior is differentiated. This means that its internal structure consists of layers, arranged like the skin of an onion. Peel back one, and you find another, distinguished from the last by its chemical and geological properties, as well as vast differences in temperature and pressure.

Explanation:

Answer:Sir haymo knows

Explanation:

he gave as homework

The acceleration of the Saturn is - (2πf)²x(t).

A motion in which the restoring force is directly proportional to the body's displacement from its mean position is known as a simple harmonic motion, or SHM. This restoring force always moves in the direction of the mean position. A particle moving in simple harmonic motion accelerates as a(t) = - ω² x (t). Here, ω denotes the particle's angular velocity.

The acceleration of the particle at any position is directly proportional to the displacement from the mean position in simple harmonic motion, which is an oscillatory motion.

Given that:

at any time, the angular position of Saturn is (2πf)t.

the displacement in SHM at that time t is given by x(t)=R cos(2πf)t.

Hence, speed  in SHM at that time t is given by

\(v(t) = \frac{dx(t)}{dt} =R \frac{d }{dt} cos(2\pi f)t = -(2\pi f) sin(2\pi f)t\)

it's acceleration is

\(a(t) = \frac{dv(t)}{dt} =-(2\pi f) R \frac{d }{dt} sin(2\pi f)t = -(2\pi f)^2 Rcos(2\pi f)t = -(2\pi f)^2 x(t)\)

hence, at any time t, the acceleration of the Saturn is - (2πf)²x(t).

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Answer:

v = -9.8 (m/s2) t j

Explanation:

The velocity of the falling ball as a function of time is v = -9.8 (m/s2) t j and its position as a function of time is r = (4.9 m - ½ 9.8 (m/s2) t2) j.