an engine starts at 100 rad/s of angular velocity and uniformly accelerates to 400 rad/s in 7.0 s. find its angular acceleration in rad/s/s.

After considering the given data the height from which the gannet dived is approximately 51.84 m.

To evaluate the height from which a gannet dived if it hits the water at 32 m/s, assuming that the gannet was motionless before starting its dive, we can apply the law of conservation of energy, which projects  that the initial potential energy of the gannet is equivalent to its final kinetic energy prior to hitting the water. Then, we can write:
\(mgh = (1/2)mv^2\)
Here:
m = mass of the gannet
g = acceleration due to gravity
h = height from which the gannet dived
v = velocity of the gannet just before hitting the water
Considering that the mass of the gannet is 1 kg, and applying substitution of the given values, we get:
\((1 kg)(9.8 m/s^2)(h) = (1/2)(1 kg)(32 m/s)^2\)
\(h = (1/2)(32 m/s)^2 / (9.8 m/s^2)\)
h = 51.84 m
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The complete question is
A gannet is a seabird that fishes by diving from a great height. If a gannet hits the water at 32 m/s , what height did it dive from? Assume that the gannet was motionless before starting its dive.

The momentum of the billiard balls after the collision is 3 Kgm/s.

Simply multiplying the mass of an object by its velocity results in momentum. Additionally, because momentum has both magnitude and direction, it qualifies as a vector quantity.

The formula provides momentum in mathematics;

The other pool balls' velocities would be zero (0) m/s because they were at rest (not experiencing any motion). If we substitute the values, we get: Total forward motion is 3 kg/s.

As a result, the billiard balls' post-collision momentum is 3 Kgm/s.

Therefore, The momentum of the billiard balls after the collision is 3 Kgm/s.

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Answer:

A psychoanalyst would see the 4-year-old as having an unresolved conflict where the brain judges or evaluates how good or bad the darkness is, or the usefulness of sleeping in the dark at night based on a comparison, due to the child's exploration of the world around him. A psychoanalyst might see the child's refusal to sleep at night due to the dark as a fear created for instance when the child sleeps alone without the parent. This might change if the child sleeps at night beside the parent in the dark.

While behaviorists would look at how having previous negative experiences in the dark influences a child's behavior towards staying in the dark. This fear would be reinforced with more negative experiences in the dark such as having a bad nightmare whenever the child sleeps in the dark, a feeling of hearing, or seeing strange things while in the dark. These examples would have built a behavioral pattern where the child would be conditioned to respond fearfully to being in the dark.

Answer:

Is this considered free points

Explanation:

The change in the kinetic energy is (22000 + 416500sinθ) J

The net force on the car F' = F - f - N where

So, F' = F - f - N

F' = F - f - mgsinθ

Since the car moves at constant velocity, the net force F' = 0

So, F' = F - f - mgsinθ

F - f - mgsinθ = 0

F = f + mgsinθ

From the work-kinetic energy theorem,

The kinetic energy change of the car ΔK equals the work done by force on car, W

ΔK = W = Fd where

ΔK = Fd

= (f + mgsinθ)d

=  fd + mgdsinθ

Substituting the values of the variables into the equation, we have

ΔK = fd + mgdsinθ

= 440 N × 25 m + 1700 kg × 9.8 m/s² × 25 m × sinθ

= 22000 Nm + 416500sinθ Nm

= (22000 + 416500sinθ) J

So, the change in the kinetic energy is (22000 + 416500sinθ) J

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Answer:

Explanation:

Given:

V = 7.5 m/s

t = 5 min = 300 s

L = 2300 m

________________

S - ?

(a)

Distance formula:

S(t) = V·t

(b)

Distance traveled:

S (300) = 7.5·300 = 2250 m ≈ 2300 m

A rectangular loop of wire carrying a current of 6.5 A, with dimensions 5.0 cm × 8.0 cm and parallel to a magnetic field of 0.25 T, experiences a torque of 0.0065 N·m.

To find the torque acting on the loop, you can use the formula:

τ = NIABsinθ

where:

τ is the torque,

N is the number of turns in the loop,

I is the current flowing through the loop,

A is the area of the loop, and

B is the magnetic field strength.

Given:

N = 1 (since there is one loop),

I = 6.5 A,

A = (5.0 cm) × (8.0 cm) = 40 cm² = 0.0040 m² (converting cm² to m²),

B = 0.25 T, and

θ = 90° (since the plane of the loop is parallel to the magnetic field).

Plugging in the values into the formula, we have:

τ = (1)(6.5 A)(0.0040 m²)(0.25 T)sin(90°)

The sine of 90° is 1, so the equation simplifies to:

τ = (1)(6.5 A)(0.0040 m²)(0.25 T)(1)

Calculating this expression:

τ = 0.0065 N·m

Therefore, the torque acting on the loop is 0.0065 N·m.

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The work done in pumping the liquid to a height of 1.0 m above the top of the tank is 55.41 kJ.

To calculate the work done, we can use the formula:

\(\[ W_f = \gamma_f \cdot h \cdot T \cdot V_f \]\)

Given:

\(\( \gamma_f = 9.4 \, \text{kN/m}^3 \)\) (unit weight of the liquid)

\(\( h = 1.0 \, \text{m} \)\) (height difference)

\(\( T = \frac{1}{3} \pi r^2 h \)\) (volume of the conical tank)

\(\( V_f = \frac{1}{T} \)\) (specific volume of the liquid)

The volume of the conical tank can be calculated as:

\(\[ T = \frac{1}{3} \pi r^2 h \]\)

Substituting the given values:

\(\[ T = \frac{1}{3} \pi (1.2 \, \text{m})^2 (2.7 \, \text{m}) \approx 5.784 \, \text{m}^3 \]\)

The specific volume of the liquid is:

\(\[ V_f = \frac{1}{T} \approx \frac{1}{5.784} \, \text{m}^{-3} \]\)

Now, we can substitute these values into the work equation:

\(\[ W_f = (9.4 \, \text{kN/m}^3) \cdot (1.0 \, \text{m}) \cdot (5.784 \, \text{m}^3) \cdot \left(\frac{1}{5.784} \, \text{m}^{-3}\right) \approx 55.41 \, \text{kJ} \]\)

Therefore, the work done in pumping the liquid to 1.0 m above the top of the tank is approximately 55.41 kJ. The correct option is (a) 55.41 kJ.

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The five changes made to air during the conditioning process are cooling, dehumidification, filtering, circulation, and sometimes humidification.

Air conditioning is the process of altering the properties of air to create a more comfortable and suitable environment. There are five changes made to air during the conditioning process:

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Answer:

please find the attached pdf

Explanation:

Answer:

In the interaction between the bus and the bug, we can call the force "bus pushes bug" the action force. Then the force "bug pushes bus" is the reaction force. Since these forces are a Newton's Third Law action/reaction force pair, they are exactly the same size.

Explanation:

Newtons 3rd law

The smallest possible shaft AE is having the diameter equal to 22nm or 22 nanometer, which can be calculated by using the formula for the torque transmitted by the shaft.

The smallest permissible diameter of shaft AE can be determined using the formula for torque transmitted by a solid shaft:

T = (π/16) × τ × d³

where T is the torque transmitted by the shaft, τ is the maximum shear stress, and d is the diameter of the shaft.

Given that:

T = 45 kW / (2π × 500 rpm) = 0.143 Nm,

τ = 50 MPa, and

that 30 kW is taken off at gear G and 15 kW is taken off at gear H, we can calculate the torque transmitted by gears G and H as follows:

\(T_G\) = 30 kW / (2π × 500 rpm)

= 0.095 Nm

\(T_H\) = 15 kW / (2π × 500 rpm) = 0.048 Nm

The torque transmitted by shaft AE can be calculated as follows:

\(T_{AE}\) = T + \(T_{G}\) + \(T_{H}\) = 0.143 + 0.095 + 0.048 = 0.286 Nm

Substituting these values into the formula for torque transmitted by a solid shaft and solving for d, we get:

d = [(16 × T_AE) / (π × τ)]¹/³

= [(16 × 0.286) / (π × 50)]¹⁾³ ≈ 22 mm

Therefore, the smallest permissible diameter of shaft AE is approximately 22 mm.

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The value that we get by solving the equation is 3. This we get by solving the equation and with the help of given values of u and t.

In mathematical formulas, the equals sign is used to indicate that two expressions are equal. The meaning of the word equation and its cognates might vary slightly depending on the language. For example, an equation in English is defined as any properly expressed formula that consists of two expressions connected by the equals sign, whereas an equation in French is defined as having one or more variables.

According to the question, the given values are :

u = 11 and,

t = 9.

The given equation is :

3 + 11 t - 9 u

Substitute the given values of u and t in the equation :

3 + 11 (9) - 9 (11)

= 3

Hence, after solving the equation, the value we get is 3.

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Answer:

A. Perpendicular

Explanation:

Clarification:

The inquiry is inadequate as it does not have the picture of the rope wave movement.

From all that, we can say that;

The rope's are moving at the same time in a similar example without contacting one another.

This is hence a mechanical wave being made with the movement having motions that are opposite to the course of energy move of the ropes.

This is a meaning of cross over waves in light of the fact that the rope molecule movement is opposite to the wave movement.

Perpendicular describes the motion of the rope particles in relation to the motion of the rope wave shown in the photograph. Hence option A is Correct.

Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase.

Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase.

Phase is the position of a wave at a point at time t on a waveform.

There are two types of the wave longitudinal wave and transverse wave.

Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave.  Sound wave is a longitudinal wave.

Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a longitudinal wave.

In the picture we can see that wave is traveling in the direction out of the paper and rope particle is vibrating along Y axis perpendicular to the propagation of the wave.

Hence Perpendicular option is correct.

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Answer:

The best statement which describe this is actually:

D. Temperature decreases with altitude until the stratosphere is reached, and then it increases from there.

Explanation:

From the graph shown, it could be seen that, temperature decrease with height. The higher the height, the lower the temperature. For example, from the graph, when the height was around 50 km, the temperature was within the range of -10⁰C to 0⁰C. On the other hand, when the height increases around 78 km, the temperature decreases to the range of  to -70 ⁰C to -80⁰C

Among the given statements about electrical synapses, the incorrect statement is Electrical synapses pass electrical signals between cells with the use of Ach.So option iv is correct.

Electrical synapses do not rely on the use of acetylcholine (Ach) or any other neurotransmitter. Instead, they involve the direct flow of ions between cells through gap junctions. Neurotransmitter-mediated synapses, such as chemical synapses, utilize neurotransmitters like Ach for signal transmission, but electrical synapses bypass the need for neurotransmitter release and binding.

In electrical synapses, the close proximity of the cell membranes allows for the direct transfer of electrical signals (current) from one neuron to another, enabling rapid and synchronized communication. They are fast and exhibit similar properties to the conduction of impulses along single axons. However, electrical synapses are relatively rare in the human nervous system compared to chemical synapses.

The question should be:

Which of the following statements is/are incorrect about the electrical synapse?

(i) At electrical synapses, the membranes of pre and post synaptic neurons are in very close proximity.

(ii) Electrical current can flow directly from one neuron into the other across the synapses.

(iii) Transmission of an impulse across electrical synapses is very similar to impulse conduction along single axon.

(iv) Electrical synapses pass electrical signal between cells with the use of Ach.

(v) Electrical synapses are fast.

(vi) Electrical synapses are rare in our system.

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Answer:

B is correct

Explanation:

Because the earth is rotating not the sun and moon

w=f.d

w=130.9

w=1170(a)

Answer:

A-1170

Explanation:

9x130=1170

dxf=w

Time interval stays the same = 1 sec in this case.

Because, T = 2 pi (m/k)^1/2 is independent of displacement depends on mass and the same in both situations spring constant.

What is the interval of time?

The length of time between two specific moments in time is known as a time interval. Here's an illustration: "The period between three and four o'clock is one hour." Different units are used to describe different lengths of time, and some units are more suited to particular periods of time than others.

A second is the shortest unit of time we would utilize on a daily basis.  And a day is made up of 24 hours. A watch or a clock can be used to record these time units. A calendar is necessary if you want to measure longer periods of time.

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To answer your question, we need to use the formula for the resonant frequency of an LC circuit, which is:  

f =n 1/(2π√(LC))  where f is the resonant frequency in Hertz, L is the inductance in Henrys, and C is the capacitance in Farads.

We want our circuit to radiate a wavelength of 4.5 m, which corresponds to a frequency of:

f = c/λ = 3 x 10^8 m/s / 4.5 m = 66.67 MHz
Now, we can rearrange the formula above to solve for L: L = 1/(4π^2f^2C)
Plugging in the values we have, we get:
L = 1/(4π^2 x (66.67 x 10^6)^2 x 2.4 x 10^-12) = 12.9 μH
So, an inductor of 12.9 μH should be used in series with the capacitor of 2.4 pF to form an oscillating circuit that will radiate a wavelength of 4.5 m.
it's important to note that LC circuits, or resonant circuits, are used in a variety of electronic applications, such as radio and TV broadcasting, wireless communication, and power conversion. These circuits rely on the interaction between an inductor and a capacitor to store and transfer energy between them, resulting in a resonant frequency that can be tuned to a specific value.

the resonant frequency is determined by the values of L and C in the circuit and is affected by the physical dimensions and materials of the components. In the case of your question, we calculated the value of inductance that, in combination with the given capacitor, would result in a resonant frequency that would radiate a specific wavelength. This is important in the context of antenna design, where the goal is to radiate electromagnetic waves of a specific frequency and wavelength for communication or sensing purposes. Overall, LC circuits and resonant circuits play an important role in modern electronics and are critical to many applications.

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To calculate the energy per photon (kJ/photon) for each calibrated wavelength, we can use the equation E = hc/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.  Once we have calculated the energy per photon for each wavelength,

we can then use Avogadro's number (6.022 x 10^23) to calculate the energy per mole (kJ/mol) by multiplying the energy per photon by the number of photons in one mole of the substance.

For example, if we have calculated the energy per photon for a wavelength of 500 nm to be 2.48 kJ/photon, we can calculate the energy per mole by multiplying by Avogadro's number:

2.48 kJ/photon x (6.022 x 10^23 photons/mol) = 1.49 x 10^26 kJ/mol

So the corresponding energy per mole for a wavelength of 500 nm is 1.49 x 10^26 kJ/mol. We can repeat this calculation for each calibrated wavelength to find the energy per mole for each one.

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The electric force exerted on one sphere by the other, with charges of 12 x 10^(-9) C and -18 x 10^(-9) C placed 0.30 m apart, is approximately 2.16 x 10^(-5) N.

The electric force exerted on one sphere by the other can be calculated using Coulomb's law. To calculate electric force between two charged objects, we need:

F = k * |q1 * q2| / r^2

where F is the electric force, k is the electrostatic constant (k = 8.99 x 10^9 N m^2/C^2), q1 and q2 are the charges on the spheres, and distance between the centers of the spheres is represented by r.

In this case, one sphere has a charge of 12 x 10^(-9) C (q1) and the other sphere has a charge of -18 x 10^(-9) C (q2). The distance between their centers is 0.30 m (r).

Entering values in formula:

F = (8.99 x 10^9 N m^2/C^2) * |(12 x 10^(-9) C) * (-18 x 10^(-9) C)| / (0.30 m)^2

Calculating the expression inside the absolute value and the denominator:

F = (8.99 x 10^9 N m^2/C^2) * (216 x 10^(-18) C^2) / (0.09 m^2)

F = (8.99 x 10^9 N m^2/C^2) * 2.4 x 10^(-15) C^2 / 0.09 m^2

F = (8.99 x 10^9 N) * 2.4 x 10^(-15) / 0.09

F = 2.16 x 10^(-5) N

Therefore, the electric force exerted on one sphere by the other is approximately 2.16 x 10^(-5) N.

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Answer:

0.25 m

Explanation:

Refraction occurs when the velocity or wavelength of a wave changes at the interface between two media.

We know that refractive index=

Wavelength in medium A/wavelength in medium B = velocity in medium A/velocity in medium B

Let the wavelength of medium B be a

0.5/a = 0.3/0.15

0.5 × 0.15 = 0.3 × a

a= 0.5 × 0.15/0.3

a= 0.25 m

Answer:

If the mass is doubled, then acceleration will be halved.

Explanation:

That situation is described by Newton's Second Law of Motion. F is force, m is mass and a is acceleration. The math behind this is quite simple. If you double the force, you double the acceleration, but if you double the mass, you cut the acceleration in half.

According to Newton's Second law of Motion, the acceleration of the mass spring system will be halved if the mass of the spring system is doubled.

Newton's second law of motion states that when an external net force is applied on an object, the acceleration of the object is proportional to the net force which is applied on the object, and it also occurs in the same direction as the direction of applied force. The acceleration of an object is inversely proportional to the net force applied and acceleration is inversely proportional to the mass of the object.

This situation can be best described by Newton's Second Law of Motion. The second law of motion can be expressed by the equation:

F = m × a

where, F is force,

m is mass, and

a is acceleration

Mass of an object is inversely proportional to the acceleration of the body. If the mass of the spring system is doubled then the acceleration of the object will be reduced to half.

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This inequality allows for an analytical solution for vmax in terms of the power loading, which is much quicker than the numerical solution discussed in sec. 6.6.

What is power?
The quantity of energy transferred as well as converted per unit of time is known as power in physics. The watt, which is equal to one joule per second in the International System of Units, is the unit of power. Power is sometimes referred to as activity in older works. A scalar quantity is power. Power is correlated with other factors. For instance, the power required to move a ground vehicle is a function of the vehicle's velocity, traction force on its wheels, and aerodynamic drag. A motor's output power is calculated by multiplying its torque output by the angular velocity of the its output shaft. The power lost by an electrical component in a circuit is also a function of the voltage across the component and the current flowing through it.

The power loading P/W for a propeller-driven airplane can be related to vmax through the following equation:
P/W = k2T/ρA0(vmax)^3
where k2 is a constant that depends on the airplane design and T is the thrust of the propeller, ρ is the air density, and A0 is the disk area of the propeller.
This equation cannot be solved explicitly for vmax, but it can be used to derive a quicker solution in comparison to the numerical solution discussed in sec. 6.6. To do this, the equation can be rearranged to form the following inequality:

vmax >= (k2T/ρA0)^(1/3)

This inequality allows for an analytical solution for vmax in terms of the power loading, which is much quicker than the numerical solution discussed in sec. 6.6.

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Answer:

mechanical energy

Explanation:

Answer:

When you fill it up its chemical energy but it gets transformed into mechanical energy.

Explanation:

The internal combustion engine, which is utilized in most automobiles, has allowed for the transfer of chemical energy into mechanical energy. This provides locomotion for the vehicle as it is driving.

Answer: I hope you find it useful

Explanation: Group 2 elements have two valence electrons. The two valence electrons are easily lost in the formation of chemical bonds. Once the two electrons are lost, the atom then has a full outer shell and is therefore more stable.

so,  if an atom has valency 2 , then it means that the atom can combine with 2 other atoms .