__ modified the concept by adding an internal combustion engine and marketing hybrids that were part electric and part gas powered

Answer:

t = 1.659s

Explanation:

We can use the kinematics equations to solve this questions:

v = u + at

[tex]v^{2} = u^{2} +2as[/tex]

where v = Final Velocity, u = initial velocity, a = acceleration, t = time, s = displacement

a) Given information from the question,

u = [tex]\frac{70km}{h} =\frac{(70*1000)m}{(1*3600)s} = 19.444m/s[/tex] (Convert km/h to m/s first)

a = [tex]2m/s^{2}[/tex]

s = 35m

Now we can substitute these values into the 2nd kinematics equation to find v, final velocity.

[tex]v^{2} =(19.444)^{2} +2(2)(35)\\v=\sqrt{(19.444)^{2} +2(2)(35)} \\v= 22.761m/s (5.sf)\\[/tex]

b) Now we have the final velocity, we can substitute the values into the first kinematics equation to find t , the time taken.

v = u + at

22.761 = 19.444 + 2t

2t = 22.761 - 19.444

t =[tex]\frac{22.761-19.444}{2}[/tex]

t = 1.659s

Plasma is often called the fourth state of matter. The four states are solid, liquid, gas, and plasma

The term "fourth state of matter" refers to plasma, which it shares with solid, liquid, and gas. Heating a gas will result in the formation of plasma, which is a soup of positively and negatively charged particles (ions), similar to how adding energy causes a liquid to boil and transform into a gas (electrons).

The fourth state of matter after solid, liquid, and gas is referred to as plasma. An ionized substance enters this state of matter when it becomes extremely electrically conductive to the point where long-range electric and magnetic forces control its behavior. Water makes up around 92 percent of the plasma. Additionally, it has 7% of essential proteins like albumin, gamma globulin, and anti-hemophilic factor, and 1% of mineral salts, carbohydrates, lipids, hormones, and vitamins.

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According to the solar nebula theory, the common direction of revolution and rotation for most objects in the solar system is because most objects in the Solar System have a common direction of revolution and rotation because they formed from the same rotating gas cloud.

The nebular theory states that our solar system formed from the gravitational collapse of a giant interstellar gas cloud—the solar nebula.

In nebula hypotheses its been said that solar system formed at the same time as the Sun . The nebular hypothesis is the idea that a spinning cloud of dust made of mostly light elements, called a nebula, flattened into a protoplanetary disk, and became a solar system consisting of a star with orbiting planets

Laplace theorized that the Sun originally had an extended hot atmosphere throughout the Solar System, and that this protostar cloud cooled and contracted. As the cloud spun more rapidly, it threw off material that eventually condensed to form the planets.

Since , Most objects in the Solar System have a common direction of revolution and rotation because they formed from the same rotating gas cloud.

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Explanation:

according to my understanding, the value of gravitational acceleration changes because;different planets have different gravitational pull.

for example you may ask yourself why is it that the gravitational acceleration is not the same on earth and the moon.

this is because the gravitational force acting on an object on earth is greater than the gravitational force acting on an object and the Moon .

You know the moon is located in the space and one can fly, stand,dance etc.

all because the gravitational acceleration is low.

as for me when the distance from the centre of the Earth increases,

the gravitational acceleration decreases.

A good example is given by the moon.

The moon is miles away from the Earth and its gravitational acceleration is quite low .hope you got me.

Answer:

The value of acceleration due to gravity is independent of mass of the body.

Explanation:

Let us consider the mass of the object as m and mass of earth as M

Therefore, force between the object and earth would be given by: F = GMm/d²

This force is equal to the weight of the object, i.e. mg

Thus;

mg = GMm/d²

g = GM/d²

Therefore, the value of acceleration due to gravity is independent of mass of the body.

As a 4-10 solar mass star leaves the main sequence on its way to becoming a red supergiant, its luminosity: remains roughly constant.

A common unit of mass used in astronomy is the solar mass (M), which is around 2 1030 kg. It is frequently used to denote the masses of black holes, galaxies, stellar clusters, nebulae, and other objects. Its mass is comparable to that of the Sun.

A solar mass is the fundamental unit of mass used by astronomers. It makes more sense to talk about such cosmic objects in terms of solar masses rather than a much smaller measure, such as kilos, because the majority of things in space are enormous and heavy, such as stars, galaxies, and black holes.

When a moderately big star, ranging in size from 8 to 40 solar masses, runs out of hydrogen shells around the core heat up sufficiently to start fusion.n fuel, it evolves off the main sequence and switches to fusing helium in its core, resulting in the formation of a red supergiant. This causes the star's radius to increase, which lowers the star's temperature.

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The experiment's time period is unaffected by the change in amplitude in either experiment.

Time period is provided by:

[tex]T= 2\pi \sqrt{\frac{m}{k} }[/tex]

where,

T = time period

m = mass

k = spring constant

According to the formula, the only factors affecting the time period in a simple harmonic motion (SHM) are the object's mass and the spring constant . The time period will adjust in line with any adjustments made to the object's mass or spring constant.

Pendulum oscillations are an illustration of simple harmonic motion. Take into consideration a spring that has a fixed end. It is in its equilibrium position if no force is applied to it. Now, if we pull it outwards, the string exerts a force that is pointed in the direction of the equilibrium position.

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Two vectors are added geometrically (by drawing them), they arranged in such a way that Tail of one touching the head of the other .

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Triangle law of vector addition is used to find the sum of two vectors when the head of the first vector is joined to the tail of the second vector.

Magnitude of the resultant sum vector R: R = √([tex]P^{2}[/tex] + 2PQ cos θ + [tex]Q^{2}[/tex])

According to the Parallelogram law of vector addition: If two vectors are considered to be the adjacent sides of a parallelogram, then the resultant of the two vectors is given by the vector that is diagonal passing through the point of contact of two vectors. drawn from the same point.

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a) U =  0 J

k = 0.383 J

E = 0.383 J

b) U = 0.0228 J

k = 0.155 J

E = 0.383 J

c) U = 0.1104 J

k = 0.272 J

E = 0.383 J

d) U = 0.248 J

k = 0.177 J

E = 0.383 J

The equations for kinetic energy is:

k= 1/2*m*[tex]v^{2}[/tex]

The equation for elastic potential energy is:

U= 1/2*ks*[tex]x^{2}[/tex]

Where,

m= mass of the block

v= velocity

ks= spring constant

x= displacement of the spring

(a)when compression= 0 cm

U= 1/2*ks*[tex]x^{2}[/tex]

U= 1/2*552*

= 0 J

Kinetic energy:

k= 1/2*m*[tex]v^{2}[/tex]

k= 1/2*(1.05)*

k= 0.383 J

Mechanical energy:

E= k + U

E= 0.383+0

E= 0.383 J

(b) spring potential = ?

U= 1/2* 457 N/m*[tex](0.01)^{2}[/tex]

U= 0.0228 J

Since the mechanical energy must remain constant, we may calculate the kinetic energy using the mechanical energy equation:

E= k + U

0.383= k + 0.0228

k= 0.383 - 0.228

k= 0.155

(c)spring constant when x= 0.02

U= 1/2*552*[tex](0.02)^{2}[/tex]

U= 0.1104 J

Using the equation of mechanical energy:

E= k +U

0.383= k+ 0.1104

k= 0.383 - 0.1104

k= 0.272 J

(d) U= 1/2*552*[tex](0.03)^{2}[/tex]

U= 0.2484 J

E= 0.383 J

k = E - U

k= 0.383- 0.206

k= 0.177

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The 3kg of 20% of salt brine at 65 degrees Celsius has more enthalpy than the 5kg of 20% salt brine at 50 Degrees Celsius.

Enthalpy is defined as the total heat content of a system. The enthalpy is a measure of the total work which the system can do plus the internal energy of the system.

The enthalpy of the given solutions can be calculated as follows:

For the 3kg of 20% of salt brine at 65 degrees;

mass of salt = 3 * 20%  = 0.6 kg

specific heat capacity = 3.56kJ/kg*C

temperature change = 65°C

Enthalpy = 0.6 * 3.56 * 65

Enthalpy = 232 kJ

For the 5kg of 20% salt brine at 50 Degrees Celsius;

mass of salt = 5 * 20%  = 1 kg

specific heat capacity = 3.56kJ/kg*C

temperature change = 50°C

Enthalpy = 1 * 3.56 * 50

Enthalpy = 178 kJ

Therefore, the 3kg of 20% of salt brine at 65 degrees Celsius has more enthalpy.

In conclusion, the enthalpy or heat content of the solutions depends on the mass and temperature change.

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Answer:

The observations show a higher velocity than is predicted, mainly in the galaxy's outer regions, indicating that there is more mass in the exterior areas than we can see.

The observations show higher velocities than is predicted, mostly in the outer regions of the galaxy, indicating that there is more mass in the outer regions than we can see.

A galaxy is a collection of gravitationally bound stars, stellar remains, interstellar gas, dust, and dark matter. The name comes from the Greek word galaxias, which means "milky" in reference to the Milky Way galaxy, which houses the Solar System. Galaxies range in size from dwarfs, which have fewer than 100 million stars, to supergiants, which have 100 trillion stars around their galaxy's center of mass. Galaxies, on average, contain an estimated 100 million stars.

A galaxy can be classified as elliptical, spiral, or irregular based on how it appears to the human eye. Supermassive black holes are considered to be present in the centers of several. Sagittarius A*, the name given to the center black hole of the Milky Way, has a mass that is four million times that of the Sun.

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The three most normal units of estimation for temperature are Celsius, Fahrenheit, and Kelvin.

A thermometer is an instrument that measures temperature. It can gauge the temperature of a strong, for example, food, fluid like water, or gas like air.

The Celsius scale is important for the decimal measuring standard. The decimal standard of estimation additionally incorporates units of mass, like kilograms, and units of length, like kilometers. Most logical fields measure temperature utilizing the Celsius scale. Zero degrees Celsius is the edge of freezing over water, and 100 degrees Celsius is the limit of water. Three countries don't utilize the Celsius scale. The United States, Burma, and Liberia utilize the Fahrenheit scale to quantify temperature. In any case, even in these nations, researchers utilize the Celsius or kelvin scale to gauge temperature. Water freezes at 32 degrees Fahrenheit and bubbles at 212 degrees Fahrenheit. The Kelvin scale is utilized by physicists and different researchers who need to record exceptionally exact temperatures. The Kelvin scale is the main unit of estimation to incorporate the temperature for "outright zero," the complete shortfall of any intensity energy.

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The frequency of the oscillation is (f)=  284.21Hz

To calculate the frequency we used the formula,

[tex]f=\frac{\omega}{2\pi }[/tex]

Here , we are given,

I= The peak current across an ac generator = 0.50 A.

V= The peak Voltage across an ac generator = 8.0 V.

C= The capacitance of the capacitor = 35 μf.

We have to find the angular frequency of  an ac generator [tex]\omega[/tex].

We know, The maximum charge of the generator is,

[tex]Q=CV[/tex]

Or,[tex]Q=(35\times 10^{-6}) \times 8.0[/tex]

Or, [tex]Q=28\times 10^{-5} C[/tex]

So, The maximum charge of the generator is (Q)= [tex]28\times 10^{-5} C[/tex]

Now, for the angular frequency we can write that,

[tex]I=\omega\times Q[/tex]

Or,[tex]\omega=\frac{I}{Q}[/tex]

Now we put the value of [tex]\omega[/tex] in the first equation , we can find that

[tex]f=\frac{\omega}{2\pi }[/tex]

Or,[tex]f=\frac{1}{2\pi } \times \frac{I}{Q}[/tex]          [Note: from above[tex]\omega=\frac{I}{Q}[/tex]]

Or,[tex]f=\frac{1}{2\pi } \times \frac{0.50}{28\times 10^{-5} }[/tex]

Or, [tex]f=284.21 Hz[/tex]

Therefore, from the above calculation we can conclude that the frequency of the oscillation is 284.21 Hz.

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The angular separation is [tex]4.88 * 10^{-5} rad[/tex]

What is angular distance formula?

The formula is θ=s/r, where, θ is Angular Displacement, s is the distance traveled by the body, and. r is the radius of the circle along which it is moving.

What is meant by angular resolution?

The angular resolving power (or resolution) of a telescope is the smallest angle between close objects that can be seen clearly to be separate. Resolution is limited by the wave nature of light.

The angular separation is calculated as given below.

θ = 1.220 λ/d

Where λ  is the wavelength and d is the diameter of the lens aperture.

θ1 = [tex]1.220 * \frac{600 * 10^{-9} }{1.5 * 10^{-2} }[/tex]

    =  4.88 × [tex]10^{-5}[/tex] rad

Therefore, The angular separation is 4.88 × [tex]10^{-5}[/tex] rad.

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The sphere’s Electric potential energy is 1.6*[tex]10^{-6}[/tex]J

Given,

q=6. 5 µc, V=240 v,

We know that sphere’s Electric potential energy(E) = qV=6.5*[tex]10^{-6} *240[/tex]=1.6*[tex]10^{-6}[/tex]J

The configuration of a certain set of point charges within a given system is connected with the potential energy (measured in joules) known as electric potential energy, which is a product of conservative Coulomb forces. Two crucial factors—its inherent electric charge and its position in relation to other electrically charged objects—can determine whether an object has electric potential energy.

In systems with time-varying electric fields, the potential energy is referred to as "electric potential energy," but in systems with time-invariant electric fields, the potential energy is referred to as "electrostatic potential energy."

A tiny sphere carrying a charge of 6. 5 µc sits in an electric field, at a point where the electric potential is 240 v. what is the sphere’s potential energy?

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The unit vectors along the three co-ordinate axes are described as. i > j > k > 1. is D. i = j = k = 1

A vector that has a volume of 1 is a unit vector. It is also known as a direction vector because it is generally used to denote the direction of a vector. The vectors i, j, k, stand the unit vectors along the x-axis, y-axis, and z-axis respectively.

There are three essential unit vectors which are commonly employed and these are the vectors in the direction of the x, y and z-axes. The unit vector in the direction of the x-axis is i, the unit vector in the direction of the y-axis is j and the unit vector in the demand of the z-axis is k.

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The semiconductor device that produces electric current through the effect is termed as transistor.

To find the answer, we have to know more transistor.

Thus, we can conclude that, the semiconductor device that produces electric current through the effect is termed as transistor.

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A(n) closed system is one in which energy moves freely in and out, but no matter enters or leaves the system.

You can have an open or closed system: A system that is totally cut off from its surroundings is referred to as a closed system. We have opted to adopt this definition because it is one that is frequently used in the system literature.

A closed system is one that only permits the transfer of energy within or outside the system but not the transport of matter. For instance, a beaker of evaporating water with a closed top permits the flow of energy to the environment but prevents the evaporation of (matter) water.

closed systems are also referred to as systems that don't allow anything other than energy to enter or exit. A closed water bottle functions as a closed system in this instance.

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The average useful power output of robot is 0.0001 W

The time taken by robot to lift bricks is 630000000 sec

Given:

work done by robot = 5.5 j

time taken to do the work = 12.0 hours

weight of bricks = 3500 kg

length of bricks = 1.8 m

To Find:

The average useful power output of robot is

The time taken by robot to lift bricks is

Solution: Useful power output means the electric or mechanical energy made available for use, exclusive of any such energy used in the power production process.

P = W/t

P = 5.5/12*3600

P = 0.0001 W

So, average useful power output of robot is 0.0001 W

t = W/P

W = mgh So t = mgh/P

t = 3500x10x1.8/0.0001

t = 630000000 sec

So, time taken by robot to lift bricks is 630000000 sec

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By Wien's displacement law we can conclude that, the peak wavelength emitted by the sun for 5800K temperature is 499nm.

To find the answer, we have to know about Wien's distribution law.

             [tex]wavelength*T=2.898*10^{-3}mK\\wavelength=\frac{2.898*10^{-3}mK}{5800K}=499nm.[/tex]

Thus, by Wien's displacement law we can conclude that, the peak wavelength emitted by the sun for 5800K temperature is 499nm.

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(a) The gravitational force received by each 1 kg mass is 8.66 N.

(b) The magnitude of gravitational acceleration is 8.66 m/s².

(c) The orbital speed of the ISS is  7,663.6 m/s.

(d) The time take  for the ISS to orbit round the Earth is 5,558.75 s = 1.54 hours.

The gravitational force received by each 1 kg mass is calculated as follows;

F = Gm₁m₂/r²

where;

F = (6.67 x 10⁻¹¹ x 5.97 x 10²⁴ x 1) / (6780,000)²

F = 8.66 N

mg = GMm/r²

g = GM/r²

where;

g = (6.67 x 10⁻¹¹ x 5.97 x 10²⁴ ) / (6780,000)²

g = 8.66 m/s²

v = √GM/r

v = √(6.67 x 10⁻¹¹ x 5.97 x 10²⁴  / 6780,000)

v = 7,663.6 m/s

T = 2πr/v

T = (2π x 6780,000) / (7663.6)

T = 5,558.75 seconds

1 hour = 3600 seconds

=  5,558.75/3600

= 1.54 hours

Thus, the gravitational force received by each 1 kg mass is 8.66 N.

The magnitude of gravitational acceleration is 8.66 m/s².

The orbital speed of the ISS is  7,663.6 m/s.

The time take  for the ISS to orbit round the Earth is 5,558.75 s = 1.54 hours.

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If a violin string vibrates at 430 hz as its fundamental frequency,then the frequencies of the harmonics are 880, 1320, 1760

The frequency in physics is the number of waves passing a fixed location in a unit of time. It also indicates how many cycles or vibrations a body in periodic motion experiences in a given unit of time.

How frequently something occurs is what is meant by the word frequency. A person blinking their eyelids 47 times in a minute is an example of frequency. the quality or state of happening frequently.

Integer (whole-number) multiples of the fundamental frequency are used to define harmonics, which are voltages or currents that function at certain frequencies. This means that for a waveform with a fundamental frequency of 50 Hz, the second harmonic frequency would be 100 Hz (2 x 50 Hz), the third harmonic would be 150 Hz (3 x 50 Hz), etc.

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voltage across 2.0μf capacitor is 5.32v

Given:

C1=2.0μf

C2=4.0μf

since two capacitors are in series there equivalent capacitance will be

[tex] \frac{1}{c} = \frac{1}{c1} + \frac{1}{c2} [/tex]

[tex]c = \frac{c1 \times c2}{c1 + c2} [/tex]

[tex] = \frac{2 \times 4}{2 + 4} [/tex]

=1.33μf

As the capacitance of a capacitor is equal to the ratio of the stored charge to the potential difference across its plates, giving: C = Q/V, thus V = Q/C as Q is constant across all series connected capacitors, therefore the individual voltage drops across each capacitor is determined by its its capacitance value.

Q=CV

given,V=8v

[tex] = 1.33 \times 10 {}^{ - 6} \times 8[/tex]

[tex] = 10.64 \times 10 {}^{ - 6} [/tex]

charge on 2.0μf capacitor is

[tex] \frac{Qeq}{2 \times 10 {}^{ - 6} } [/tex]

[tex] = \frac{10.64 \times 10 {}^{ - 6} }{2 \times 10 {}^{ - 6} } [/tex]

=5.32v

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The Capacitive reactance of the capacitor is 3.22kΩ.

To find the answer, we have to study about the Capacitive reactance.

                  [tex]C=9*10^{-8}F\\f=550Hz\\[/tex]

                      [tex]X_c=\frac{1}{2\pi fC}[/tex]

              [tex]X_c=\frac{1}{2\pi *550*9*10^{-8}} \\\\X_c=3.22*10^3Ohm.[/tex]

Thus, we can conclude that, the Capacitive reactance of the capacitor is 3.22kΩ.

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Answer:

The answer to your question is more force

Explanation:

A consequence of more mass having more inertia is that more force is required to bring the helicopter to the same speed as the bullet

I hope this helps and have a good day!

The velocity of the block when t == 2 s is 60.7 ft./sec.

Equations of Motion.

Here the friction is [tex]F_f = \mu_k N[/tex] = 0.2 N

[tex]+ \uparrow \sum F_y = ma_y; \quad N – 10 = \frac { 10 } { 32.2 }(0) \quad N = 10 lb \\ \begin{aligned} \underrightarrow{ + } \sum F_x = ma_x; \quad 8t^2 – 0.2(10 &) = \frac { 10 } { 32.2 }a \\ & a = 3.22(8t^2 – 2) ft/s^2 \end{aligned}[/tex]

Kinematics.

The velocity of the block as a function of t can be determined by

integrating dv = adt using the initial condition v = 4 ft./s at t = 0.

[tex]\int_{ 4 ft/s }^{ v } dv = \int_0^t 3.22(8t^2 – 2)dt \\ \begin{aligned} v – &4 = 3.22 (\frac 8 3 t^3 – 2t) \\ & v = \{8.5867t^3 – 6.44t + 4 \} ft/s \end{aligned}[/tex]

The displacement as a function of t can be determined by integrating

ds = vdt using

the initial condition s = 0 at t = 0

[tex]\int_0^s ds = \int_0^t (8.5867t^3 – 6.44t + 4)dt \\ s = \{2.1467t^4 – 3.22t^2 + 4t \} ft[/tex]

at t = 2 sec

s = 30 ft.

Thus, at s = 30 ft.,

[tex]\begin{aligned} v &= 8.5867(2.0089^3) – 6.44(2.0089) + 4 \\ &= 60.67 ft/s \\ &= 60.7 ft/s \end{aligned}[/tex]

Kinematics is a subfield of physics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move.

Kinematics, as a field of study, is often referred to as the "geometry of motion" and is occasionally seen as a branch of mathematics. A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity and/or acceleration of points within the system.

Then, using arguments from geometry, the position, velocity and acceleration of any unknown parts of the system can be determined. The study of how forces act on bodies falls within kinetics, not kinematics. For further details, see analytical dynamics.

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The application of faraday's law to the existence (not the sign) of the induced voltage before you energize the primary coil

The magnitude of the emf generated in a circuit is proportional to the rate of change with time t of the magnetic flux that cuts across the circuit emf, according to this relationship, also known as Faraday's law of induction (to distinguish it from his laws of electrolysis).

According to Faraday's law of induction, when a magnetic field changes, a voltage results. This difference in electric potential can induce electric currents to flow.

The first faraday's law states that the amount of chemical change caused by a current at an electrode-electrolyte interface is proportional to the amount of electricity used, while the second law states that different substances can undergo different amounts of chemical change when the same amount of electricity is applied to them.

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When the light turns from green to yellow while you are already in the intersection, proceed through the intersection at a safe speed.

To find the answer, we have to study more about the importance of traffic signals.

Thus, we can conclude that, When the light turns from green to yellow while you are already in the intersection, proceed through the intersection at a safe speed.

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The frequency of the wave is given as 2.5 * 10^9 Hz.

The term wavelength is the distance that is covered by a wave. It is also referred to as the distance between two successive crests or two successive troughs. It can also be defined as half of the distance between two nodes.

Now nodes are the points in which there is no movement while antinodes are the points in which there is movement.

Given that;

c = λf

c = speed of light =  3 * 10^8 m/s

λ = 2(6cm) = 12 cm or 12 * 10^-2 m

f = ??

Thus;

f = c/ λ

f =  3 * 10^8 m/s/12 * 10^-2 m

f = 2.5 * 10^9 Hz

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The answer is d) 20 m.

The depth of pond is 20 m if it seems to be 10 m.

The formula relating real depth and app. depth :

[tex]\boxed {A = \frac{R}{n}}}[/tex]

In this case, refractive index has to be an whole number for real depth to give a whole number for app. depth.