a light plane attains an airspeed of 500 km/h. the pilot sets out for a destination 800km due north but discovers that the plane must be headed 20o east of due north to fly there directly. the plane arrives in 2.0 h. what were a) the magnitude b) the direction of the wind velocity?

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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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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Kinetic energy The height of an object of mass m moving at speed 4v will be greater than that of an object of mass 2m moving at speed 3v. Kinetic energy = 0.5 m v2

A mass of 2 m moving at a speed of 3 v has kinetic energy of 9 m, while a mass of m moving at a speed of 4 v has kinetic energy of 8 m. The ability of an object to move another object is known as its kinetic energy. It is effective for a force to move an object. Furthermore, we are aware that an object in motion can cause a stationary object to move if it collides with it. It can therefore perform a function. The ability of an object to perform work as a result of its motion is how we define kinetic energy.

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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! :)

Answer:

C) 490

Explanation:

Normal force = mass × gravitational acceleration

50kg × 9.8

490 N

Answer:  at least 180 degrees

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 ring would finish at last in the race down the incline.

Incline is a a plane surface tilted at some angle from the horizontal.

The moment of inertia of the ring = [tex]mr^{2}[/tex]

The moment of inertia of the disc = ( [tex]mr^{2}[/tex] ) / 2

The moment of inertia of the solid sphere = 2( [tex]mr^{2}[/tex] ) / 5

Since the moment of inertia is the resistance to rotational motion, we see that the object with the smallest moment of inertia will reach the bottom first.

The gain in total kinetic energy is equal to the loss in gravitational potential energy, which in turn is the same for all the objects and is equal to 'mgh'

where h is the height of the inclined plane.

So the order of reaching the bottom is Sphere, disc and ring.

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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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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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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:-4432.5 m

Explanation:trust

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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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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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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Economic activity is driven by self-interest, and competition helps to drive down costs and increase the quality, diversity, and creativity of goods and services.

Seeking your own personal gain is the definition of self-interest. You attend work in order to earn money to spend on the things you want. You attend school so that after you graduate, you'll be able to find a better career and get more money to spend on the things you desire.

Pick some fresh endeavors that promote goodwill in your career, family, and leisure life. Likewise, be adamant in your actions. When appropriate, communicate your thoughts and feelings to others by asking for what you want, declining what you don't want, and saying No to requests. For a while, make it a point to treat yourself to something every day.

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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 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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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 statement that best shows that waves can carry energy is option d: light shining through some trees makes shadows.

A sound wave is the pattern of disruption brought on by the movement of energy moving through a medium as it propagates away from the source of the sound (such as air, water, or any other liquid or solid matter). Pressure waves are produced when an object vibrates, such as a ringing phone, and these waves are known as sound waves.

Therefore, note that the energy of a sound wave is transferred through particle contact. A vacuum cannot be traversed by a sound wave. Sound is now a mechanical wave as a result.

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Unless the above assumptions are clear, the initial and final energies are equal.

Kinetic energy is the form of energy that an object or a particle possess due to its motion. If work, that transfers energy, is done on an object by applying a net force, the object accelerates and thereby gains kinetic energy. Kinetic energy is a property of a moving object or particle and depends on its motion as well as its mass. The type of motion may be translational (or motion along a path from one place to another), rotational, vibrational, or any combination of motions. Translational kinetic energy is one-half the product of its mass (m) and the square of its velocity (v) or 1/2mv².

Given,

Initial and final velocities = v₁ and v₂

Initial kinetic energy = [tex]\frac{1}{2} mv_{1} ^{2}[/tex]

Final kinetic energy = [tex]\frac{1}{2} mv_{2} ^{2}[/tex]

Gravitational potential energy is calculated = mgh

As the assumptions are not clear, this question assumes no air resistance. As a result, no energy is consumed by work.

then

Initial Kinetic Energy = Final Kinetic Energy

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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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Answer:

16C

Explanation:

since current=CHARGE/TIME

THEREFORE CHARGE=TIME X CURRENT

=2X8

=16C

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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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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.

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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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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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 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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