If a car travels 60 M /hr for 10 hours.
What distance will it travel?

The angular velocity of the pointed rim of a rotating wheel if, The angular position of a point on the rim of a rotating wheel is given by θ = 4.0 t - 3.0 t² + t³, is 4 rad/ sec.

The rotation rate, which refers to how quickly an item rotates or circles in relation to another point, is measured pictorially by angular velocity. Angular velocity can be defined as the speed at which an item rotates or revolves around an axis.

Given:

θ = 4.0 t - 3.0 t² + t³

Calculate the angular velocity by differentiating the position function as shown below,

dθ / dt = d (4.0 t - 3.0 t² + t³) / dt

V = 4.0 - 6t + 3t²   (Change in position is equal to velocity)

Put the value of time, t = 2

V = 4 - 6 × 2 + 3 × 2²

V = 4 - 12 + 3 × 4

V = 4 - 12 + 12

V = 4 rad/sec

Thus, the angular velocity is 4 rad/sec.

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The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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Answer:

The answer is D

Explanation:

Gas is made when chemical change happens. The chemical change has made a new substance gas. It cannot be combustion unless it is hot or was on fire.

A chemical change has resulted in the production of a new substance, which is being given off.

The correct option is D.

A chemical change is any process that converts one material into another, produces new compounds with unique features, or combines any of these processes. When two compounds combine to generate a new material, it takes place (synthesis or either decomposes to form more substances).

Breaking covalent bond between reactant molecules (particles) and creating new bond between atoms in product particles are two aspects of chemical reactions (molecules). While there are the same number of atoms both before and after the biochemical transition, there will be a change in the number of molecules.

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Answer:

i) E1 = -13.6/1² = -13.6eV

E2 = -13.6/2² = -3.4 eV

E3 = -13.6/3² = -1.51 eV

E4 = -13.6/4² = -0.85 eV

E5 = -13.6/5² = -0.544 eV

E6 = -13.6/6² = -0.377 eV

E∞ = 0

ii) Lyman series obtained when there is electron transition from n = 2,3,4,5,6... to n1=1

Baler series obtained when there is a transition from n = 3,4,5,6.. to n1 = 2

iii) E ( ionisation) = E∞ - E1 = 0 - (- 13.6) = 13.6 eV

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Answer:

\(f = m \frac{v1 - v2}{t} \\ = 120 \times \frac{25 - 5}{2} \\ = 120 \times \frac{20}{2} \\ = 120 \times 10 \\ = 1200N \\ thank \: you\)

Answer:B

Explanation:

Answer:

The answer is B

Explanation:

If your automobile runs out of fuel while driving, the engine

stops. You don't come to an abrupt stop due to the concept of

inertia.

This is referred to a resistance in an object due to its change in

velocity. The object doesn't come to a sudden state of rest.

When  the fuel runs out and the engine stops, there is no abrupt

stop as a result of the inertia(resistance) to the change in

velocity.

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The lowest frequency of light that can exist is zero hertz (Hz), which is also known as direct current (DC).

This is because light is a type of electromagnetic radiation that consists of oscillating electric and magnetic fields. These fields oscillate at a certain frequency, and the frequency determines the energy and properties of the light.

However, in the absence of any oscillation, there is no frequency and hence no light. In other words, the lowest frequency of light is no light at all.

It's worth noting that there are other forms of electromagnetic radiation that have frequencies lower than visible light, such as radio waves and microwaves. These types of radiation have frequencies that range from about 3 kilohertz (kHz) to several gigahertz (GHz).

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Answer:

Explanation:

             V=  V*  T

V= 116m /s * 10s

V=  1,160 m

Answer:

Majors are also called concentrations. An academic major or concentration is a college or university student's main field of specialization during his or her associates or undergraduate studies which would be in addition to, and may incorporate portions of, a core curriculum.

Answer:

Extension, e = 0.0000359 meters

Explanation:

Given the following data;

Mass = 0.26 g

Spring constant = 7.1 N/m

To find the extension of the thread;

Conversion:

1000 grams = 1 kg

0.26 grams = 0.26/1000 = 0.00026 kg

First of all, we would determine the force acting on the spider;

Force = mass * acceleration due to gravity

Force = 0.00026 * 9.8

Force = 0.00255 N

Next, we would determine the extension;

Force = spring constant * extension

Substituting into the equation, we have

0.00255 = 7.1 * extension

Extension, e = 0.00255/7.1

Extension, e = 0.0000359 meters

A substance that prevents free flow of electrical current is known as an electrical insulator. The electrons in the insulator's atoms are securely bonded and immobile.

Protons are in overabundance on an aluminium plate that is positively charged. A positively charged aluminium plate has a deficiency of electrons when viewed from the perspective of electrons. We might characterise each extra proton as being somewhat dissatisfied in terms of people.

The other plate develops an imposed positive charge as a result of the electron's electric field, which pulls on the electrons that are in that plate and repels other electrons.

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The speed of the moving train can be determined using the formula for the Doppler effect. By considering the observed beat frequency and the frequency of the stationary train's whistle, we can calculate the speed of the moving train relative to the conductor.

The beat frequency observed by the conductor is caused by the difference in frequencies between the whistles of the stationary train and the moving train. The beat frequency (\(f_{beat}\)) can be calculated using the formula:

\(f_{beat}\) = | \(f_{source}\) - \(f_{observer}\) |

In this case, the frequency of the stationary train's whistle ( \(f_{source}\) ) is 508 Hz, and the beat frequency observed (\(f_{beat}\)) is 4.5 Hz.

By rearranging the formula, we can determine the frequency observed by the conductor (\(f_{observer}\)):

\(f_{observer}\) =  \(f_{source}\) - \(f_{beat}\)

Substituting the given values, we find:

\(f_{observer}\) = 508 Hz - 4.5 Hz = 503.5 Hz

The observed frequency is lower than the frequency of the stationary train's whistle because the moving train is approaching the conductor. The Doppler effect causes a decrease in frequency when the source is moving toward the observer.

The Doppler effect formula for frequency is given by:

\(f_{observer}\) =  \(f_{source}\) * (\(v_{sound}\) + \(v_{observer}\)) / (\(v_{sound}\) + \(v_{source}\) )

Assuming the speed of sound (\(v_{sound}\)) is constant, and the speed of the conductor ( \(v_{observer}\)) is negligible compared to the speed of the moving train, we can simplify the equation to:

\(f_{observer}\) = \(f_{source}\) * ( \(v_{sound}\) / ( \(v_{sound}\) + \(v_{source}\)))

Rearranging the equation to solve for the speed of the moving train (\(v_{source}\)), we get:

\(v_{source}\) = \(v_{sound}\) * (\(f_{source}\) / \(f_{observer}\) - 1)

Substituting the known values, with the speed of sound typically around 343 m/s, we can calculate the speed of the moving train.

Hence, the speed of the moving train can be determined by plugging the values into the equation: \(v_{source}\) = 343 m/s * (508 Hz / 503.5 Hz - 1).

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Mars and Europa are two solar system bodies that are considered possible habitats for earth-like life. This is because: both plants have been speculated to have liquid water on them.

Recall that there can be no life form without water.

Europa, sometimes known as Jupiter II, is the smallest of Jupiter's four Galilean moons and the sixth-closest to the planet of all the planet's 80 known moons.

It is also the Solar System's sixth-largest moon.

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Answer:

imma have to come back to you on that one

Answer:

The Sun is at the center of the solar system and the planets move around it.

Explanation:pluto/edmentum

Answer:

Inertia.

Explanation:

Inertia can be defined as the tendency of an object or a body to continue in its state of motion or remain at rest unless acted upon by an external force.

In physics, Sir Isaac Newton's first law of motion is known as law of inertia and it states that, an object or a physical body in motion will continue in its state of motion at continuous velocity (the same speed and direction) or, if at rest, will remain at rest unless acted upon by an external force.

For example, the inertia of an object such as a shopping cart is greatly dependent or influenced by its mass; the higher quantity of matter in a shopping cart, the greater will be its tendency to continuously remain at rest.

Applying Newton's third law, these two impulsive forces are equal and opposite i.e. If the time of contact is t, the impulse of the force F21 is equal to the change in momentum of the first object. The impulse of force F12 is equal to the change in momentum of the second object.

A). Sketching a sinusoidal graphThe sinusoidal graph for two revolutions of the Ferris wheel is as shown below:

B). Modelling the equation of the graph with h=asin(bt−1.57)+ d Where, h represents the height, in metres, of a passenger above the ground, and t represents the time, in minutes, after the ride has started.The amplitude of the wave is the maximum displacement from the midline, which is 25 meters, and therefore a = 25.We know that the period is 10 minutes. Therefore, 2π/b = 10. Solving for b,b = π/5 = 0.628.Thus, the required function is h = 25 sin (0.628t - 1.57) + 26.

Answer:

Amplitude is a non-negative scalar measurement of the magnitude of the oscillation of a wave. Amplitude can also be defined as the distance/farthest deviation from the equilibrium point in sinusoidal waves that we study in physics and mathematics - geometry. Usually the amplitude is generated by waves of vibrating objects or sounds. For example, the human voice will produce a certain amplitude.

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Speed = Wavelength * Frequency

Given :

A car drives 10 km with a speed of 72 km/hr and then runs out of gas.

Then you walk 2 km for the next 30 min  until you find a gas station .

To Find :

The average speed of whole journey .

Solution :

Average speed is given by :

\(v_{avg}=\dfrac{\text{Total distance covered}}{\text{Total time taken}}\\\\v_{avg}=\dfrac{10+2}{\dfrac{10}{72}+\dfrac{1}{2}}\\\\\\v_{avg}=18.78\ km/hr\)

Hence , this is the required solution .

Explanation:

Yes, it is correct to say that if no net impulse is exerted on a system, then no change in the momentum of the system will occur.

Impulse is defined as the instantaneous force applied to the object for a very short duration. It is given by the product of force and time. The expression of the impulse is given by

I =  F × t where ,

F is the force

t is the time

The impulse is also defined as the change in the momentum of the object, that is,

\(I=Pf-Pi\) where \(Pf\) is the final momentum of the object \(Pi\) is the initial momentum of the object

Hence, if the net impulse is zero, therefore

0=\(Pf\)=\(Pi\)

\(Pf\)=\(Pi\)

hence the momentum of the object will also not change.

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The formula for the mass remaining after t years for a sample of radium-226 with an initial mass of 100mg is given by \($M(t) = 100 \times 0.5^{t/1590}$\). After 1000 years, the mass is approximately 87mg. The mass will be reduced to 30mg after approximately 2167 years.

(a) The decay of radium-226 follows an exponential decay model, where the amount of radium remaining decreases by half every 1590 years. The formula for the mass remaining after t years can be derived using the half-life concept. Let M(t) represent the mass remaining after t years, then the equation can be written as \($M(t) = 100 \times 0.5^{t/1590}$\). Here, 100 represents the initial mass of the sample, and 0.5 is the decay constant derived from the half-life.

(b) To find the mass after 1000 years, we substitute t = 1000 into the formula: \($M(1000) = 100 \times 0.5^{1000/1590}$\). Evaluating this expression gives us approximately 87mg.

(c) To determine when the mass will be reduced to 30mg, we need to solve the equation \($M(t) = 30$\) for t. Substituting M(t) and rearranging the equation gives us \($100 \times 0.5^{t/1590} = 30$\). Solving this equation, we find t ≈ 2167 years. Therefore, it will take approximately 2167 years for the mass of the radium-226 sample to be reduced to 30mg.

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Answer:

parallel combination of cell

The best describes the image of a concave mirror when the object is at a distance greater than twice the focal point distance from the mirror is (c) virtual, upright, and magnification less than one.

When the object is placed beyond twice the focal length of a concave mirror, the image formed is virtual, meaning it cannot be projected onto a screen. The image is also upright, having the same orientation as the object.

In addition, the magnification of the image is less than one, indicating that the image is smaller in size compared to the object. This is because the concave mirror forms a reduced and virtual image when the object is located beyond the focal point.

The distance between the object and the mirror affects the size and position of the virtual image formed.

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