consider a neutron star with a mass equal to the sun, a radius of 11 km , and a rotation period of 1.0 s . what is the speed of a point on the equator of the star?express your answer with the appropriate units.

Answer:

B

Explanation: You (with the ball in your hand)would move in the direction of the ball's initial motion. Momentum!

Answer: You would move backward.

Explanation: You would push back because you would move in the direction of the ball's initial motion.  The ball's initial motion is to come toward you, so you would most likely move backward.

Let me know if this is right! :)

The magnitude of the force acting on the object of mass 1.92 kg, 3.72 s after it is released is 23.414 N in negative direction.

ω = √ ( k / m )

ω = Angular frequency

k = Force constant

m = Mass

k = 4.77 N / m

m = 1.92 kg

ω = √ 4.77 / 1.92

ω = √ 2.48

ω = 1.58 rad / s

F ( t ) = - m d ω² cos ω t

F ( t ) = Force wrt time

d = Displacement

t = Time

t = 3.72 s

d = 5.31 m

F ( 3.72 ) = - 1.92 * 5.31 * 1.58² cos ( 1.58 * 3.72 )

F ( 3.72 ) = - 25.45 cos 5.88

F ( 3.72 ) = - 23.414 N

Therefore, the magnitude of the force acting on the object is 23.414 N in negative direction.

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Using Equations of motion, speed after 10 seconds will be 21 m/s and the distance travelled after 10 seconds will be 110 m.

What are  Equations of motion?

Equations of motion are thought of as the relationships that assist us in relating the physical quantities, such as distance traveled, time spent traveling there, acceleration, and initial and final velocities.

First equation of motion

Second equation of motion

Third equation of motion

Given,  initial velocity, u = 1 m/s

            acceleration, a = 2 m/s/s

            time = 10 s

Using First equation of motion, we find the speed after 10 seconds.

v = u + at

v = 1 + 2 x10

v = 1 + 20

v = 21 m/s

Using Second equation of motion, we find the distance travelled after 10 seconds,

s = ut + 1 / 2at2

s = 1 x 10 + ( 2 x 10 x 10)/2

s = 10 + 100

s = 110 m.

Hence, after 10 seconds speed will be 21 m/s and distance will be 110 m.

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At 7.1 Hz a 200-turn, flat coil of cross sectional area of 300.0 cm2 be rotated in a uniform 30.0-mt magnetic field to have a maximum value of the induced emf equal to 8.0 v

An electric charge, an electric current, and magnetic materials are all affected magnetically by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field.

Given,

number of turns is N = 200 turns

cross-sectional area is A = 300 cm² = 300 x 10⁻⁴ m²

the magnitude of magnetic field strength is B = 30 x 10⁻³ T

the maximum value of the induced emf is E = 8 V

Now,

Maximum induced emf is, E = NBAω

where,

ω is the angular velocity (ω = 2πf)

Now,

E = NBA2πf

where,

f is minimum frequency

So, f = E / (NBA2π)

f = 8 / (200 x 30 x 10⁻³  x 300 x 10⁻⁴ x 2 x 3.142)

f = 7.073 Hz

f = 7.1 Hz

∴ the minimum frequency of the coil is 7.1 Hz.

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Projectile motion is a combination of constant motion in the horizontal direction, and accelerated motion in the vertical direction. Therefore, the correct answer option is: D. constant, accelerated.

Projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic (u-shaped curve) path, and under the influence of a gravitational force only.

Based on scientific research and records by scientists such as Galileo, we can infer and logically deduce that the initial horizontal velocity of a physical object undergoing a projectile motion is always equal to its final horizontal velocity.

Additionally, Galileo stated that projectile motion combines constant or uniform motion in the horizontal direction and accelerated motion in the vertical direction.

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Answer:

Explanation:

Given:

V₀ = 2 m/s

V = 20 m/s

Δt = 12 s

__________

a - ?

The acceleration of the van:

a = ΔV / Δt = (V - V₀) / Δt

a = (20 - 2) / 12 = 18 / 12 ≈ 1.5 m/s²

The equal and opposite force for the force of the elevator floor pushing up on the person as described by Newton's third law is the weight and the reaction force from its effect.

This is referred to as a device which is used in the vertical transportation of goods and people among the floors in a buildings.

When an individual steps into the elevator, the weight acts on it and it is known as a downward force while the reaction acts upward in an opposite reaction as described by Newton's third law in this scenario.

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the speed of the projectile is 780m/s.

given in this question,

mass of the gun m₁ =1500metric tun

as we know 1ton= 1000kg

so m₁=1,500,000kg

mass of projectile m₂= 5ton =5000kg

for solving this problem we will use the concept of conservation of momentum.

which is [tex]P_{initial}[/tex]=[tex]P_{final}[/tex]

[tex]P_{initial}[/tex]=0

and [tex]P_{final}[/tex]=m₁v₁+m₂v₂

∵v₁=2.6m/s

now by the conservation of momentum

[tex]P_{i}[/tex]=[tex]P_{f}[/tex]

0=1,500,000×2.6+5000×v₂

v₂=-1500000×2.6/5000

v₂= -780m/s

hence the value of the velocity negative is not possible

negative sign is showing direction of projectile.

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Answer:

C) 490

Explanation:

Normal force = mass × gravitational acceleration

50kg × 9.8

490 N

The Work done by tension force on Magnus is

- 3225 Joule .

In the given question we have, one end of rope is tied around magnus waist and other attched to bus and he pulls the bus. The direction of tension force is just work done.

constant force = 1550 Newton

displacement = 2.15 meters

The direction of tension force is opposite to work done due to the tension force is reaction force to force of work done for pulling the bus.

work done by tension = W = - W₀

where W₀is horizontal work done by magnus during pulling.

so, W₀ = Fdcosθ

where , F---> force , d--> displacment and θ ---> angle between force and displacement

As we see whole work done in horizontal direction. So, angle between force and displacement is zero.

put all the vales in above formula we get ,

W₀= 1550× 2.15 cos0 = 1550×2.15 = 3225 Joule

W = - W₀ = - 3,225J

Hence, work done by tension force on Magnus is

- 3,225 Joule.

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Substances in a mixture keep their separate properties, but in a compound the parts are bonded and do not keep their separate properties.

Mixtures contains elements and compounds without any fixed ratio and not by any means of chemical bonds. The elements and compounds are physically mixed and so they will be visibly distinct.

Compounds contains elements in a fixed ratio and is connected by chemical bonds. They only contain one type of molecule. Since they are chemically combined the particles appear as one and is not visibly distinct.

Therefore, substances in a mixture keep their separate properties, but in a compound the parts are bonded and do not keep their separate properties.

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The magnitude of impedance is 1.33 ohms .

Electric circuit: a way for current to travel. A battery or generator, a device that provides energy to the charged particles that make up the current, a device that uses current, such as a lamp, an electric motor, or a computer, and the connecting wires or transmission lines make up an electric circuit.

Current flowing from the positive terminal to the negative terminal of the battery is known as an electric circuit. Putting together a circuit A cell or battery, connecting wires, a lightbulb, and a switch make up an electric circuit.

Given .

resistance = 90 ohms

reactance =120 ohms

So magnitude of impedance is 120/90

= 1.33 ohms

therefore the magnitude of impedance is 1.33 ohms

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The system's internal energy change (E) must equal the sum of the heat transferred (q) and the work performed (w), as stated in the first law of thermodynamics: E = q + w..

Work and heat do not have a state function.

The first law of thermodynamics states that the change in a system's internal energy is equal to the total of heat and work.

ΔU = w+q

ΔU = modification of internal energy

q= heat

W= work

ΔU=qv

Accordingly, qv is a state function in this scenario since qv stands for q measured at constant volume.

additional circumstance steady pressure

W = pΔV

Work on the environment (expanding) or the surrounds is working on the system (compressing), which results in a new state function called ΔH and a change in enthalpy.

Heat is a change in energy rather than a quantity of energy that is contained because heat q is the amount of thermal energy that enters or exits the system throughout a process.

Work is another phrase for an energy transformation. the environment's good influence on the system or the environment's detrimental influence on the system ( negative)

The path functions q and w

However, q+w combined is a state function.

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It is a diagram with the parts of the rainforest labeled

Answer:-4432.5 m

Explanation:trust

The height is 0.32788meters or 31.78 cm.

According to the principle of buoyancy, the weight of a floating body equals the weight of the liquid displaced by its submerged part. Therefore, the ship can float on water. Because its weight is equal to the weight of the water you are trying to displace. Each float displaces the swimming liquid by its own weight. Just like a ship floats freely in the water.

The weight of the container must equal the weight of the volume of water displaced by the container. Displacement is the amount of water a ship displaces. If the buoyancy equals the object's weight, the object will remain buoyant at the current depth. Buoyancy always exists whether an object is floating, submerged, or floating in a liquid. When the boat floats, its weight equals the weight of the volume of water displaced.

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The final gravitational force at the surface of the star is 49 times of the initial gravitational force.

The attraction that exists between all masses in the universe, particularly between the mass of the earth and objects that are close to its surface.

Use Newton's gravitational law to find the gravitational force at the surface of a star if the star contracted to one fifth of its previous diameter as follows.

Newton's gravitational law states that the gravitational force between two objects is inversely proportional to the square of their distance and directly proportional to the product of their masses.

[tex]F_g}[/tex] =GMm/r²

In this case, the two objects' masses are M and m, G is the gravitational constant, and r is their separation from one another.

Since mass is constant, the gravitational force at the surface of a star before contraction is,

F₁ =GMm/r₁²

Here, r₁ is initial diameter of the star.

The gravitational force at the surface of a star after the contraction is,

F₂ =GMm/r₂²

Here, r₂ is final diameter of the star.

Compare the equations, we get

F₂/F₁= GMm/r₂²/GMm/r₁²

F₂/F₁=(r₁/r₂)²

F₂ = F₁(r₁/r₂)²

Substitute r₁/7 for r₂ in equation and solve for final gravitational force on the star.

F₂ = F₁(r₁/r₁/7)²

F₂= 49F₁

Therefore, the final gravitational force at the surface of the star is 49 times of the initial gravitational force.

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Answer:

11.56 m/s

Explanation:

The momentum of the ball is transferred into the pin so the transfer of momentum has the formula, m1*v1 = m2 * v2

substituting the values,

5.1 * 3.40 = 1.5 * V2

17.34 = 1.5 * V2

V2 = 17.24 / 1.5

V2 = 11.56 m/s

The acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons is 20 N/kg.

The rate at which velocity changes with time, in terms of both speed and direction, is called acceleration.

Acceleration (a)

Mass (m) = 10 kg

Force (F) = 200 N or Newton

∴  a = F / m

=> a = 200 N / 10 kg

=> a = 20 N / kg

So, the acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons is 20 N / kg.

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The wavelength of the electromagnetic radiation emitted by your phone is 1.578meters.

The name given to the recognized range of electromagnetic radiation is the electromagnetic spectrum (EMS). The frequency decreases from 3×10²⁶ Hz to 3×10³ Hz as wavelengths rise from around 10⁻¹⁸ m to 100 km.

The wavelength is the separation between two wave crests, while troughs have the same wavelength. Frequency, measured in cycles per second (Hz), is the number of vibrations that pass over a certain location in a second (Hertz).

Given,

Frequency  = 1900 mhz = 1900×10⁶,

velocity = 3×10⁸,

Wavelength = v/F

Wavelength = 3×10⁸/ 1900×10⁶

Wavelength = 1.578meters.

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The  functional groups that are represented in this molecular structure are; a methyl group, a hydroxyl group, and a carboxyl group

We know that the functional group would be defined as that atom, or a group of atoms or even a bond that is the major point where a chemical reaction occurs among the members of a particular hom----ologous series. Note that the hom----ologous series is a family of compounds that differ from each other by chain length only.

Now we have to look at the compound and of course the attachments to the compound would tell us how many of the functional groups that we do have in the molecule and we can take a cursory look at the image attached for this detail.

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As a result of the collision, the cart, which had a velocity of 1, comes to rest. The cart then accelerates with velocity v1 from rest. assuming that a moving cart collision elastically with a stationary cart.

We are aware that both the linear momentum and the kinetic energy are conserved in completely elastic velocity. However, only the kinetic energy of an inelastic impact is conserved. Any situation in which two or more bodies quickly exert forces on one other is referred to be a collision. The scientific definition of the word "collision" makes no reference to the magnitude of the force involved, despite the fact that the most frequent usage of the word relates to instances in which two or more objects clash violently.

The instantaneous speed could be compared to the speed shown by the speedometer.

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.

a) Mass of displaced water is 41.4 g or 0.0414 kg

b) Volume of the bone is 41.4 mL or 41.4 × 10⁻⁶m³

c) Average density of the bone is 1.09 g/ mL or 0.00109 × 10⁻⁶ Kg /m³

In the given question we have, the weight of some bird bones is measured in air outside of some water and the weight is 45.0 grams and the apparent weight in water is 3.60 grams. Now, we shall find out the weight of the displaced water? So the buoyant force is this difference between the weight of the bones out of the water and in the water, so the weight out of the water times g minus the weight in the water times g and then the g can be factored in and the buoyant force is also equal to the weight of the displaced fluid from Archimedes' principle

i.e., 45 × g - 3.60× g = weight/ mass of displaced water

weight of displaced water = 41.4 × g

g× mass of displaced water = 41.4 ×g

=> mass of displaced water = 41.2 grams

a) Mass of displaced water = 0.0414 Kg

b) the volume of the bones is going to be equal to the volume of water displaced.

We know that the density of water is the mass of water displaced divided by the volume of water. So the volume of water displaced is the weight of the water displaced divided by the density of the water.

Volume of water displaced = 41.4 grams / density of displaced water

density of water displaced = 1 grams / milliliters

So, the density of water is 41.4 milliliters or 41.4 ×10⁻⁶ m³

c) The average density of the bone is the weight of the bone divided by its volume,

Average density of bone = 45 grams / 41.4 mililitres

so it's value is 1.09 grams per milliliter or 0.00109 × 10⁻⁵ m³

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The potential difference measured if the given voltmeter is used and connected to the circuit via the 3V terminal is 1.4 V.

The reading of voltmeter is taken for the row with 0, 1, 2 and 3 values. Each  line indicates 0.1 volts. The distance between each smaller lines indicates 0.2 volts and the distance between each longer lines indicates 0.2 volts.

A voltmeter is a device used to measure the potential difference between two points in a circuit. Potential difference is also called as voltage. Its unit is volts.

V = IR

V = Voltage

I = Current

R = Resistance

Therefore, the potential difference measured is 1.4 V

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T[tex]_{C}[/tex] = 25 + 273.15 = 298.15K

T[tex]_{H}[/tex] = 477 + 273.15 = 750.15K

And by replacing Carnot efficiency:

e = 1 - [tex]\frac{298.15}{750.15}[/tex] = 0.39475 = 39.47%

W[tex]_{max}[/tex] = e × Q[tex]_{H}[/tex] = 0.39475 × 65000[tex]\frac{KJ}{min}[/tex] = 25658.75  [tex]\frac{KJ}{min}[/tex]

The United States (and its connected territories) and some Caribbean countries frequently use the Fahrenheit temperature scale, which bears the name of German physicist Daniel Gabriel Fahrenheit. Water freezes at 32°F and boils at 212°F according to the Fahrenheit scale (at sea level).

Nearly every other country uses the Celsius temperature scale, which was previously called centigrade before being changed for Swedish astronomer Anders Celsius. Water freezes at 0°C and boils at 100°C on the Celsius scale (at sea level).

For this case we can use the fact that the maximum thermal efficiency for a heat engine between two temperatures are given by the Carnot efficiency:

e = 1 - frac T[tex]_{C}[/tex]T[tex]_{H}[/tex]

We have on this case after convert the temperatures in kelvin this:

T[tex]_{C}[/tex] = 25 + 273.15 = 298.15K

T[tex]_{H}[/tex] = 477 + 273.15 = 750.15K

And replacing in the Carnot efficiency we got :

e = 1 - [tex]\frac{298.15}{750.15}[/tex] = 0.39475 = 39.47%

And the maximum power output on this case would be defined as:

W[tex]_{max}[/tex] = e × Q[tex]_{H}[/tex] = 0.39475 × 65000[tex]\frac{KJ}{min}[/tex] = 25658.75  [tex]\frac{KJ}{min}[/tex]

Where [tex]Q_{H}[/tex] represent the heat associated to the deposit with higher temperature

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She will pull her ripcord 22.9 s after the dive and her speed at 490 m will be 112.66 m/s.

Free fall, any motion of a object where gravity is the only force acting upon it. In the context of general relativity, where gravity is reduced to the curvature of spacetime, there are no forces acting on bodies in free fall.

For the given case,

s = ut + 1/2 at²

s = Displacement  (3000 - 420 = 2580 m) it is the distance she will free fall

a = Acceleration due to gravity  (9.8 m/s²)

u = Initial velocity (0 m/s)

t = Time taken

2580 = 0×t + 1/2 9.8 t²

2580 = 4.9 t²

t = 22.9 s

Now her speed at 490 m will be

v = d/t

v = speed

d = 2580 m

t = 22.9 s

v = 2580/22.9

v = 112.66 m/s

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The given question is incomplete so the complete question is as follows:

"if there were no air resistance, how long would it take a free-falling skydiver to fall from a plane at 3100 m to an altitude of 490 m , where she will pull her ripcord? what would her speed be at 490 m ? (in reality, the air resistance will restrict her speed to perhaps 150 km/h)"

To find the stiffness constant of the cord, learn gravity and force.

What is gravity?

By means of gravity, a planet or other body pulls objects toward its center. All the planets are maintained in their orbits around the sun by the force of gravity.

What is force?

An object with mass changes its velocity in response to a push or pull. Force is an external agent that has the power to alter a body's resting or moving state. It has a size and a movement.

Enot=Eat start= Ug =mgh

=(65kg)(10m/s²)(60m)

=39,000J

Eat lowest point =Usp+Ug

=1/2K(Δy²)+mgh

=1/2k(39.5m)² + (65kg)(10m/s²)(0.5m)

from conservation of energy, solve to get K= 49.6N/m.

Therefore, the energy function can be written ( for y<40).

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When dumped, it would rebound all the way up to the original height.

If there is no kinetic energy lost during contact, the collision is entirely elastic. In an inelastic collision, some of the kinetic energy is converted into another kind of energy during the contact.

The system's overall kinetic energy, which includes the interacting items, remains constant both before and after the impact. A very buoyant ball might serve as an illustration of an elastic collision. If you dropped it, it would return to its original height after bouncing all the way down.

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The thermal energy was generated by friction is 180490.52J.

Molecules moving within an item or substance are referred to as thermally moving. The sun is the main source of thermal energy in our solar system, but every material possesses some form of thermal energy. Heat is a flow of thermal energy that occurs when energy is transferred from one substance or object to another.

Given,

Initial speed = 114km/h = 114000/3600 = 31.66 m/s

Height = 25m

[tex]E_{intial} = E_{final}[/tex]

mg[tex]y_{i}[/tex] + 1/2m[tex]v^{2} _{i{} }[/tex] = mg[tex]y_{f}[/tex] +1/2m[tex]v^{2} _{f{} }[/tex]

Solving [tex]y_{f}[/tex] we have,

[tex]y_{f}[/tex] = m(g[tex]y_{i}[/tex] + 1/2m[tex]v^{2} _{i{} }[/tex]-1/2m[tex]v^{2} _{f{} }[/tex])

[tex]y_{f}[/tex] = (0+ 1/2 (114×1000/60×60)²-0)/9.8

[tex]y_{f}[/tex] = h = 50.94m

loss of energy = mg (50.94 - 25)

loss of energy = 710× 9.8× 25.94

loss of energy = 180490.52J.

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The Kinetic Energy of the given body is 100,000

Kinetic energy is the energy possessed by a body as a virtue of its motion or movement. It is defined under Mechanical energy.

The mechanical energy of a body is always conserved. Potential energy along with Kinetic energy maintains the mechanical energy of a body.

If talking solely about mechanical energy the dip in one leads to a rise in the other.

The potential energy of a body is the energy possessed by the virtue of its position in distance from the surface of the Earth.

The formula of Potential energy is=mgh

where h is the distance from the surface of the earth where the body is placed

while g is the gravitational force exerted by the earth on the body

The formula of Kinetic Energy is: 1/2xmx[tex]v^{2}[/tex]

m=2000kg (Provided in the question)

v=10m/s (Provided in the question)

Then Kinetic Energy of the body=1/2x m x [tex]v^{2}[/tex]

putting values in the equation

K.E=1/2 x 2000 x [tex]10^{2}[/tex]

K.E=1/2 x 2000 x 100

canceling 2000 by 2

K.E = 1000 x 100

K.E= 100,000

Where Kinetic energy is represented as K.E

Thus, the Kinetic Energy of the given body is 100,000

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