A solid sphere of radius R is placed at a height of 40 cm on a 15∘ slope. It is released and rolls, without slipping, to the bottom.From what height should a circular hoop of radius R be released on the same slope in order to equal the sphere's speed at the bottom?

In the southern Hemisphere, objects deflect to the right, whereas In the Northern Hemisphere objects deflect to the left.

The Coriolis force is the name given to the unseen force that seems to reroute the wind. Different speeds of movement are governed by the Coriolis force. It is based on the gravity or rotational speed of the object. The force is parallel to the axis of the object. From west to east, the Earth rotates on its axis.

The path of an object moving vertically and freely at the equator does not curve relative to the Ground atmosphere as there is no sensation of rotation of the Earth's surface underneath it. There is no Eddy currents effect because the object's trajectory is straight.

To know more about Coriolis force visit:

https://brainly.com/question/3354744

#SPJ4

Answer:

O B. The wave's speed decreases.

Explanation:

a)

(i) Potential for r < a: V(r) = λ / 2π∈₀㏑ (b/a)

(ii) Potential for a < r < b: V(r) = λ / 2π∈₀㏑ (b/r)

(iii) Potential for r > b: V(r) = 0

Here we want to calculate the potential for r < a.

Before calculating the potential, we have to keep in mind that the electric field outside an infinite wire or an infinite cylinder uniformly charged is

E = λ / 2 π ∈₀* r

where,  λ is the linear charge density

r is the distance from the wire/surface of the cylinder

By integration, we find an expression for the electric potential at a distance of r:

V(r) = ∫ E dr = λ / 2π∈₀ ㏑ (r)

Inside the cylinder, however, the electric field is zero, because the charge contained by the Gaussian surface is zero:

E = 0

So, the potential where the electric field is zero is constant:

V = constant

(iii) We start by evaluating the potential in the region r > b. Here, the net electric field is zero, because the Gaussian surface of radius r here contains a positive charge density +λ and an equal negative charge density -λ. Therefore, the net charge is zero, so the electric field is zero.

This means that the electric potential is constant so we can write:

ΔV = V(r) - V(b) = 0

V(r) = V(b)

However, we know that the potential b is zero, so

V(r) = V(b) = 0

(ii) The electric field in the region a < r < b instead it is given only by the positive charge +λ distributed over the surface of the inner cylinder of radius a, therefore it is

E = λ / 2π∈₀

And so the potential in this region is given by:

V(r) = ∫ E dr =  λ / 2π∈₀ [ ㏑(b) - ㏑(r)] =  λ / 2π∈₀ ㏑(b/r) ----(1)

(i) Finally, the electric field in the region r < a is zero, because the charge contained in this region is zero: E = 0

This means that the potential in this region remains constant and it is equal to the potential at the surface of the inner cylinder, so calculated at r = a

which can be calculated by substituting r = a in expression (1)

V(a) = λ / 2π∈₀ ㏑(b/a)

And so, for r < a

V(r) = λ / 2π∈₀ ㏑(b/a)

To know more about electric fields:

https://brainly.com/question/14686675

#SPJ4

During an extreme emergency, our body must be in fight or flight mode. There are three stages of stress response during an emergency. They are alarm, resistance, and fatigue.

Alarm is the first stage among the 3 stages in the stress response system. In alarm stage, the body and mind go on high alert. It is sometimes called the "fight or flight response". It prepares the body to either go for defending itself or to flee from a threat.

When you perceive a situation or event to be a threat, your body begins a stress response. The nervous system and the endocrine system are active during the body's response to stressors. This response is involuntary or automatic and happen in three stages.

To know more about stress here

brainly.com/question/2097916

#SPJ4

So, the only forces acting on the riders are the normal force and the force of gravity (the force of the seat pushing up on the rider). While the normal force is always pointed perpendicular to the automobile seat.

The size of this force is determined by the mass of the each item and the separation of their centers. According to mathematics, the gravity's force is proportional to the square of the distance between both the objects and directly related to the masses of the items.

There are just two factors that matter when discussing the gravitational force between two objects: mass and distance. The squared of the distance of two things has an inverse relationship with the force of gravity, which relies directly on the mass of the two items.

To know more about gravitational force visit:

https://brainly.com/question/12528243

#SPJ1

The displacement in SHM is 1/5 of amplitude, and the fraction of total kinetic energy is Ek = 24/25.

Simple harmonic motion is described as the periodic motion of a point along a straight line with an acceleration that is always toward a fixed point in that line and a distance from that point that is proportional to that acceleration.

Calculations:

Let’s derive the equations needed from the first principle. For SHM with amplitude  A  and angular speed  ω  the displacement is:

s=Asin(ωt) ------------ (1)

Differentiate the displacement to get the velocity:

v=s′=Aωcos(ωt)

So for a mass m, the kinetic energy is:

Ek = 1/2mv²

Ek =  1/2m ×(Aωcos(ωt) )² --------------------- (2)

At time t= 0 the displacement s= 0 and so all the energy is kinetic. Therefore the total energy is:

E (total) = 1/2m ×( Aωcos(0) )²

E (total) = 1/2m × (Aω)² ------------------ (3)

Comparing (2) and (3) we can rewrite the kinetic energy in terms of the total energy:

Ek = E (total) cos²(ωt)

Using the identity  cos² (x) + sin² (x) = 1,  we can rewrite this equation as:

Ek = Etotal (1−sin²) .(ωt)) ---------------------(4)

We also know that the potential energy  U = E(total) − Ek, so:

U = E (total) − E (total) (1−sin²(ωt) )

U = E (total) sin²(ωt)  -------------------------(5)

Now in this question, we’re given that  s = 1/5 A, so from our displacement formula  (1)  we have:

s= Asin (ωt) = 1/5A

Inserting this in equation  (4)  we have for the kinetic energy:

Ek = E (total)(1 − (1/5)²)

Ek = 24/25 (E (total) )

Hence, the displacement in SHM is 1/5 of the amplitude, and the fraction of total kinetic energy is Ek = 24/25.

To know more about Simple Harmonic Motion, check out:

https://brainly.com/question/20885248

#SPJ4

A copper wire with a length of 50cm conducts a current of 1.5 A and perpendicular to a magnetic field of 0.5 T, then the magnetic force acting on the wire is calculated as 0.375 N.

Magnetic force is a consequence of the electromagnetic force which is one of the four fundamental forces of nature, and it is caused by the motion of charges.

Given : B=0.5T   L=50 cm =0.5m    I=1.5A

As we know that the copper wire is perpendicular to the magnetic field, therefore angle will be 90 degree

∴  We use the formula, F = I*L*B*sin(theta)

= 1.5 * 0.5 * 0.5 sin(90°)

So, Magnetic force = 0.375 N

To know more about magnetic force, refer

https://brainly.com/question/25932320

#SPJ1

The speed of water exiting the hole is 5.2m/s.

The water in a lake is kept back by a dam. If the dam has a tiny hole 1 point 4 meters below the lake's surface.

[tex]V=\sqrt{2gh} \\\\V=speed\\g=gravity\\h=height[/tex]

V=√[2 x 10 x 1.4]

V=5.2m/s

To learn about gravitational potential energy-

https://brainly.com/question/19768887

#SPJ4

Answer:

I think that the whole economy will change due to the fact that gas will not be used as much as before and the fact that many people will lose their jobs, people like gas pump attendantsattenents, gas companys and many more.

Explanation:

The maximum voltage across the capacitor is 2.1 * 10⁻² V and the initial energy in the capacitor is 7.042 * 10⁻⁶ J.

In the L-C oscillation, energy is transferred between capacitor and inductor with a certain periodicity.

Given that, Inductance L = 65 * 10⁻³ h

Capacitance C = 300 * 10⁻⁴ F

Initial charge q = 6.5 * 10⁻⁴ C

We know that,

1/2 q²/C + 1/2 L² = 1/2 C* v₀²

From the above equation, we can write v₀ = q/C

Substituting the values in the above equation, we get

v₀ = q/C = (6.5 * 10⁻⁴) / (300 * 10⁻⁴) = 0.021 V = 2.1 * 10⁻² V

The formula to calculate initial energy in the capacitor is 1/2* q²/C

where q is charge and C is capacitance

E = 1/2 * q²/C = (6.5 * 10⁻⁴)²/ 2 * (300 * 10⁻⁴)

⇒ (42.25 * 10⁻⁸)/ (6 * 10⁻²)

⇒ 7.042 * 10⁻⁶ J

Thus, maximum voltage across the capacitor is 2.1 * 10⁻² V and the initial energy in the capacitor is 7.042 * 10⁻⁶ J.

To know more about LC circuit:

https://brainly.com/question/13200678

#SPJ4

You will learn about the requirements for each system and cell in your body as we go along by using the anemia metabolism simulation.

Blood's red color is due to the iron-rich protein known as hemoglobin. From the lungs, it transports oxygen to the rest of the body. Blood loss, a lack of red blood cell formation, and excessive red blood cell breakdown rates are the three basic causes of anemia.

When you have anemia, your body doesn't produce enough strong red blood cells to supply enough oxygen to the tissues. You may experience fatigue and weakness if you have anemia, commonly known as low hemoglobin.

To know more about anemia visit :-

https://brainly.com/question/29423004

#SPJ1

The kinetic energy multiplies by four times.

Energy is the quantitative quality that, in physics, is transmitted to a physical body or system. Both heat and light are manifestations of energy, as well as how labor is carried out. According to the law of conservation of energy, energy is a resource that can never run out and can only be transformed from one form to another. The joule is the unit used by the SI (International System of Units) to measure energy. The kinetic energy of moving objects, the potential energy of stationary objects, the elastic energy of stationary objects, the chemical energy associated with chemical processes, and many other types of energy are common.

We know, kinetic energy, KE₁ = 1/2.m.v²

When v gets doubled, so

then kinetic energy,

KE₂ = 1/2.m.(2v)²

KE₂= 1/2.m.4v²

KE₂ = 4KE₁

As a result, kinetic energy multiplies by four.

To know more about kinetic energy visit:

https://brainly.com/question/29214856

#SPJ1

Answer: Independent variable

Explanation: i think

Answer:

The coefficient of kinetic friction between the crate and the floor can be calculated using the formula μ = Ff / N, where Ff is the frictional force, N is the normal force, and μ is the coefficient of kinetic friction.

In this case, the normal force is equal to the weight of the crate, which is 24 kg * 9.8 m/s2 = 235.2 N. The frictional force can be calculated using the formula Ff = μ * N, where μ is the coefficient of kinetic friction and N is the normal force.

If we substitute the values for N and Ff into the formula for the coefficient of kinetic friction, we get:μ = 53 N / 235.2 N = 0.225

Therefore, the coefficient of kinetic friction between the crate and the floor is 0.225.

In the column, the red (water) substance has a less density than the black (corn syrup) substance.

The measure of how densely a material is packed together is called density. As the mass per unit volume, it has that definition. Density Numeral: D or The density is calculated using the following formula: = m/V, where m is the object's mass and V is its volume.

The relationship between a substance's mass and the amount of space it occupies is known as its density (volume). The density of a substance is determined by the mass, size, and arrangement of its atoms. Density is calculated by dividing a substance's mass by its volume.

From the image, you can see that the black section is thicker and the red is a little bit light.

learn more about density  from

https://brainly.com/question/1354972
#SPJ1

This drummer produced an album that some people believe to be the true debut of jazz fusion. Archie Blakey

The correct answer is A

Two light nuclei combine to form one heavy nucleus during a fusion process. Because the mass of the single nucleus formed is less than the combined mass of the two initial nuclei, energy is released throughout the process. Energy is created from remaining mass.

Energy in abundance Controlled nuclear fission reactions and chemical reactions like burning coal, oil, or gas both provide energy, while controlled atomic fusion produces approximately four million times as much energy (at equal mass).

To know more about fusion visit:

https://brainly.com/question/12701636

#SPJ4

Seismic velocities are influenced by the medium's physical characteristics, including composition, mineral phase and packing structure, temperature, and pressure.

Denser materials allow seismic waves to propagate more quickly, hence depth generally increases the speed of seismic waves. Seismic waves are slowed in abnormally hot regions. A liquid conducts seismic waves more slowly than a solid does. Due to the fact that P waves and S waves cannot propagate through liquid, molten regions of the Earth slow P waves and block S waves.

There are two different types of waves produced by earthquakes: primary (P) and secondary (S). Based on when they come and how they feel on the surface, they are classified.

To know more about seismic waves, visit:

https://brainly.com/question/9645077

#SPJ4

The physical properties of the medium, such as composition, mineral phase and packing structure, temperature, and pressure, have an impact on seismic velocities.

What are seismic wave?

The speed of seismic waves is typically increased by depth because denser materials allow for faster seismic wave propagation. In areas that are abnormally hot, seismic waves slow down. Seismic waves are conducted more slowly by liquids than by solids. Molten parts of the Earth impede P waves and block S waves because P waves and S waves cannot travel through liquid.

Primary (P) and secondary (S) waves are the two main types of seismic waves that are generated. They are categorized based on when they arrive and how they feel on the surface.

To learn more about seismic waves.

brainly.com/question/9645077

#SPJ1

Answer:

F = Δp / Δt    ⇒  t = Δp / F  (To get the time of contact, we divide the change in momentum by the applied force)

Since the book was stationary before we pushed it, the initial momentum is 0. Hence the change in momentum will just be the value of the final momentum.

Δp = mv

t = mv / F = (0.8 kg * 2 m/s) / 20 N = 0.08 s

Explanation:

Metals, nonmetals, and metalloids are the Periodic Table's three main groups.

Scientists easily look up information about an element, such as its atomic mass and chemical symbol, using the periodic table. This design of the atomic numbers allows scientists to spot patterns in elemental characteristics like electronegativity, ionization energy, and atomic radius.

It is called the periodic table because of the elements' systematic arrangement. You'll see that they are arranged in columns and rows. The vertical columns that go from top to bottom and the horizontal rows that travel from left to right are referred to as Periods and Groups, respectively.

To know more about periodic table visit:

brainly.com/question/1832806

#SPJ1

Answer:

Public outcry over dirty rivers

Explanation:

The acceleration of the planet b is inversely proportional to the square of the radius.

Acceleration owing to gravity is the term used to describe the acceleration of freely falling bodies caused by the force of attraction of the other body. For a specific attracting body at a specific location, it is a constant number. The average acceleration caused by gravity for objects on or near the surface of the earth is 9.8 m/s2.

Every particle in the cosmos attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers, according to Newton's law of universal gravitation.

To know more about gravity you may visit the link:

https://brainly.com/question/20044292

#SPJ4

The final velocity of Michael and his bike before he hits the ramp is 5.47 m/s.

The acceleration of Michael and his bike is calculated by applying Newton's second law of motion as follows;

F = ma

a = F/m

where;

a = 452 / 151

a = 2.99 m/s²

The final velocity of Michael and his bike before he hits the ramp  is calculated as follows;

v² = u + 2as

where;

v² = 0 + 2(2.99)(5)

v² = 29.9

v = √29.9

v = 5.47 m/s

Learn more about final velocity here: https://brainly.com/question/25905661

#SPJ1

The ratio of heat supplied to heat emitted in a Carnot cycle is simply the ratio of absolute temperatures! QH.TH=QC.TC or QH.QC=TH.TC

Here, we are given the heat that received by the engine at the hot side is QH= 6.45 kJ and we are asked to determine the heat that discarded at the cold reservoir Qc

By knowing TH ,Tc and QH

we can get Qc, using equation

Qc =−QH ( Tc/TH )

Now we can plug our given values for TH, Tc, QH and Qh into equation (1) to get Qc

Qc=−Qh(Tc/Th )=−6.45kJ(300K/520K)= −3.72kJ

​Negative sign is an evidence that, the heat removes from the engine.

Even the Carnot engine is not 100% efficient. 100% efficiency (=1) requires that Q2 be equal to 0, which indicates that all of the heat from the source has been turned to work. The term "temperature of sink" refers to a negative temperature that is greater than unity on an absolute scale.

The condition = 1/2 indicates that half of the volume is "active" if the Carnot factor is defined more broadly as the ratio of an active volume to the whole volume.

Learn more about energy here:

https://brainly.com/question/1932868

#SPJ4

To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted on by an external force. In this case, the initial momentum of the fullback before the collision is 75 kg * 10 m/s = 750 kgm/s, and the initial momentum of the lineman before the collision is 100 kg * -4 m/s = -400 kgm/s (since he is moving in the opposite direction). After the collision, the two players stick together and move with a combined mass of 75 kg + 100 kg = 175 kg. Since the total momentum of the system must remain constant, the combined velocity of the two players after the collision must be equal to the total initial momentum of the fullback and lineman before the collision, or 750 kgm/s - 400 kgm/s = 350 kg*m/s.

Therefore, the combined velocity of the two players after the collision is 350 kg*m/s / 175 kg = 2 m/s. This is the speed at which the two players move after the collision. Note that this is much slower than the initial speeds of either player before the collision, which is expected since the combined mass of the two players is greater than the mass of either player alone, and the momentum of the system must be conserved.

Answer:

29

The brakes are much more effective than anything else, at least for the jet I have experience in

Explanation:

The jet moved 3485m/s

Answer: The spring constant of a given spring is [tex]40 N/m[/tex].

Explanation:

Given,

Force (F) = 20N

The displacement of the spring[tex]= x = 0.5 m[/tex]

To find: Spring constant (k) = ?

As we know that,

Hook's law states that,

[tex]F = k[/tex] · [tex]x[/tex]

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

[tex]k = \frac{20}{0.5}[/tex]

[tex]k = \frac{(20)(10)}{5}[/tex]

[tex]k = 40 N/m[/tex]

Hence, The spring constant of a given spring is [tex]40 N/m[/tex].

To learn more about spring constant,

https://brainly.com/question/23885190

Answer: approximately 3.54x10 22 N

Explanation:

If the earth rotated slower about its axis, your apparent weight would increase, because we would experience less centrifugal force as the Earth rotated more slowly. Since gravity would remain constant but centrifugal force would decrease, the combined force of the Earth's gravity and centrifugal force would be greater.

What is centrifugal force?

A hypothetical force called centrifugal force, which is unique to particles traveling in a circle, is a force that has the same strength and dimensions as the centripetal force, but acts in the opposite direction.

To know more about centrifugal force, check out https://brainly.com/question/954979

#SPJ4

The cannonball has the greatest Momentum among all.

The momentum of any body is defined as the product of its mass and its velocity.

Momentum = Mass × velocity

It is given that the mass of the arrow is 0.1 kg and it is short with a speed of 120m/s and the Cannonball has a mass of 4 kg and it is fired with the speed of 50m/s and a model Rocket is launched at a speed of 75m/s which has a mass of 1.2 kg.

From the standard relation of the momentum we can find the momentum of the arrow, cannonball and the rocket as,

Momentum of Arrow = 0.1 × 120

= 12 kgm/s.

Momentum of cannonball = 4 × 50

= 200 kgm/s.

Momentum of model Rocket = 1.2 × 75

= 90 kgm/s.

The cannonball has the greatest momentum.

To know more about Momentum, visit,

https://brainly.com/question/402617

#SPJ4

Answer:

4.11 m/s to the right

Explanation:

[tex]m_{p} u_{p} +m_{r} u_{r} =m_{p} v_{p} +m_{r} v_{r} \\\\90 kg * 8\frac{m}{s} +70 kg * 0\frac{m}{s} =90 kg * v_{p} +70 kg * 5\frac{m}{s} \\\\720\frac{kgm}{s} =350\frac{kgm}{s} +90kg*v_{p} \\\\v_{p} * 90 kg = 370\frac{kgm}{s} \\\\v_{p} = 4.11 \frac{m}{s}[/tex]