A circuit consisting of a 140 µF capacitor in series with a 2 MΩ resistor is connected across a 6 V battery. What is the time constant of the circuit? Answer in units of s.

Part A: The time period of the mass-spring system is 0.573 seconds.

Part B: The frequency of the vibration of the mass-spring system is 1.75 Hz.

Given that the mass of the spring is 1.5 kg and the spring constant is 1.8 × 10^2 n/m.

The period of the mass-spring system is given by the formula.

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

Where m is mass and k is spring constant.

Substituting the values in the above equation, we get the time period.

[tex]T = 2 \times 3.14 \times \sqrt{\dfrac {1.5}{ 1.8 \times 10^2}}[/tex]

[tex]T = 0.573 \;\rm s[/tex]

Hence the time period of the mass-spring system is 0.573 seconds.

The frequency of the vibration is given below.

[tex]f = \dfrac {1}{T}[/tex]

[tex]f = \dfrac {1}{0.573}[/tex]

[tex]f = 1.75 \;\rm Hz[/tex]

Hence the frequency of the vibration of the mass-spring system is 1.75 Hz.

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Answer: The relationship between energy and frequency of a photon is given by E = h*f.

E is the energy, h is planck constant and f is the frequency and f= c/λ.

But i want wavelength, so i write this equation as E= h*c/λ.

now

c=3.8[tex]*10^{8}[/tex]

E =4.38*[tex]10^{-18} [/tex]  [tex]\frac{m^{2}*kg }{s^{2} }[/tex]

where i replaced joules for  [tex]\frac{m^{2}*kg }{s^{2} }[/tex]

h = 6.62607004 *[tex]10^{-34}[/tex][tex]\frac{m^{2}*kg }{s }[/tex]

then λ = h*c/E =  [tex]\frac{6.62607004 *10^{-34}*3.8*10^{8}m/s}{4.38*10^{-18} \frac{m^{2}*kg }{s^{2} }}[/tex] = 5.7*[tex]10^{-8}[/tex]  m

But you want the solution in angstroms, so 1  meter is [tex]10^{10}[/tex] angstroms

so λ  = 5.7*[tex]10^{2}[/tex]  = 570 angstrom

The largest tides occur at full moon, solar eclipse, and lunar eclipse. Thus, the correct option is B, E, and F.

Eclipses are of two types: Solar and Lunar eclipse. A solar eclipse occurs when the moon enters between the sun and the earth, which its shadow on the earth's surface.

A lunar eclipse occurs when the earth is moved between the sun and the moon and the Earth leaves its shadow on the moon. The tides form in seas because of the gravitational force of the moon.

The gravity of the moon makes the tides or waves in the seas or oceans. The full moon has more gravitation force and hence, larger tides are formed. The largest tides are also formed by solar and lunar eclipses.

When the sun is aligned with the moon during the eclipse, the sun is also pulling in the same direction resulting in the largest tides. The gravitational pull of the sun and moon increases the tides in ocean surfaces on Earth.

Thus, the largest tides occur at Full moon, solar and lunar eclipse. The correct options are B, E, and F.

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By lubricating its components, a machine can operate more effectively and send less energy to the environment as heat by reducing friction between its parts.

Due to the machine's simplicity of use and less friction, the input and output forces might both increase.

To reduce wear and tear and friction in a contact between two surfaces, lubrication is a procedure or technique that uses a lubricant. The area of tribology includes the study of lubrication as a discipline.

Solid body interactions are decreased through the design of lubrication mechanisms, such as fluid-lubricated systems, which carry the given load either entirely or partially by hydrodynamic or hydrostatic pressure (and consequently friction and wear). Different lubrication regimes can be recognized depending on how far the surfaces have separated.

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Answer:

1. C

2. C

3. A

Explanation:

1. In the given question the cause of death is gunshot. because of gunshot on the head wound develops and person died. So here answer would be option c: gunshot wound.

2.In this question man survived after gunshot(maybe his immunity reduced) and after sometime he develops pneumonia, kidney failure and liver failure, here cause of death is these diseases so cause is natural. option c would be the right answer.

3. For a medical examiner most likely to gather more evidences before determining the manner of death would be a 18-year-old boy. Because his body is completely developed and full of immunity( in normal cases).

Final answer:

The gravitational force between the two masses will be 4 N.

Explanation:

The gravitational force between two masses is given by the formula F = G * (M1 * M2) / R^2, where F is the force, G is the universal gravitational constant, M1 and M2 are the masses of the two bodies, and R is their separation. In this case, the force between the two masses is 36 N. If the distance between them is tripled, the new force can be found by calculating F' = G * (M1 * M2) / (3R)^2. Since R^2 is 9 times larger than (3R)^2, the new force will be 1/9 of the original force. Therefore, the gravitational force between the two masses will be 4 N.

The potential difference (voltage) across the inductor is given by VL = L*(dI/dt), which for this specific question evaluates to VL = -L*I0*(e^-t/τ) / τ. Applying the given values at different time intervals, we can find VL values at t=0s, t=1ms, t=2ms, and t=3ms.

The current through an inductor is given by I=I0e−t/τ. Let's answer your questions one by one:

A) The potential difference (voltage) across the inductor is given by VL = L*(dI/dt). For this particular problem, it would be VL = -L*I0*(e^-t/τ) / τ. This equation results from the fact that the rate of change of current through an inductor is related to the voltage across it.

B) At t=0s, VL would evaluate to -L*I0 / τ.

C) At t=1ms, VL would evaluate to -L*I0*(e^-1) / τ.

D) At t=2ms, VL would evaluate to -L*I0*(e^-2) / τ.

E) And finally, at t=3ms, VL would evaluate to -L*I0*(e^-3) / τ.

These calculations use the given constants L=15mH, I0=36mA, and τ=1.1ms.

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The potential difference across the inductor is given by the equation VL = -L*I0*e^(-t/τ)*(1/τ). Plugging in L=15mH, I0=36mA, and τ=1.1ms, evaluations for t=0, 1ms, 2ms, and 3ms yield -0.49V, -0.27V, -0.15V, and -0.08V respectively.

The potential difference across the inductor, ΔVL, can be determined by using Faraday's law which states that the EMF in a circuit is equal to the rate of change of magnetic flux. In this case, it corresponds to:

VL = L*(dI/dt) = L * d/dt [I0*e^(-t/τ)] = -L*I0*e^(-t/τ)*(1/τ)

From this equation, the potential difference can be evaluated at different times.

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Final answer:

Newton's first law of motion, also known as the law of inertia, states that an object at rest remains at rest and an object in motion remains in motion unless acted upon by an external force.

Explanation:

Newton's first law of motion states that a body at rest remains at rest or, if in motion, remains in motion at a constant velocity unless acted on by a net external force. This law is also known as the law of inertia. Inertia is the tendency of an object at rest to remain at rest or, if moving, to remain in motion at constant velocity. Inertia is related to an object's mass.

The rock strikes the water after traveling approximately 20.3 meters horizontally. This is calculated using principles of physics related to projectile motion, with the separate vertical and horizontal movements taking place simultaneously and independently.

The physics problem you've described deals with the concept of projectile motion. In this scenario, the horizontal and vertical movements of the rock can be analyzed separately. The vertical displacement doesn't affect the horizontal one given the negligible air resistance.

First, let's find the time it takes for the rock to hit the water below. We can use the equation of motion, d = 0.5*g*t², where g is the acceleration due to gravity (9.8 m/s²), and d is the vertical displacement (20 m). Solving for t, we get approximately 2.03 seconds.

Then, to find the horizontal distance that the rock traveled, we use the formula for velocity (v = d/t), rearranged to solve for distance: d = v*t. Here, v is the initial velocity of the rock (10 m/s) and t is the previously calculated time (2.03 seconds). Completing the calculation, we find that the horizontal distance the rock travels before striking the water is approximately 20.3 meters.

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[tex] ^7 _3 {Li} [/tex] means that the element is Lithium (Li), 7 corresponds to its mass number (sum of protons and neutrons), 3 corresponds to its atomic number (number of protons in the nucleus).

The problem asks for the atomic number (Z) of this isotope: based on what we said previously, the answer is 3.

Answer:

30800 m/s

Explanation:

correct answer

Wavelength and frequency of awave are in inverse proportion. Therefore, the graph   showing as the frequency increases, wavelength decreases.

Wavelength of an electromagnetic wave is the distance between its two consecutive troughs or two consecutive crusts. Wavelength of a wave indicates how much distance it can cover.

Frequency of an electromagnetic wave is the number of cycles or waves get in one second. Thus its unit is s-1. Frequency of first last some radiations in the spectrum that are UV, gamma, x-ray etc are higher and they have shorter wavelength.

High frequency waves are more energetic whereas longer wavelength  is associated with less energy. The relation between frequency v and wavelength lambda is written as follows:

[tex]v = \frac{c}{\lambda}[/tex]

Where c is the speed of light.

As per this relation frequency is inversely proportional to the wavelength. Hence they are in inverse relation.

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When a front wheel drops off the roadway, stay calm, maintain a firm grip on the steering wheel, slow down gradually, and carefully steer back onto the road while checking for traffic.

When a front wheel drops off the roadway while you are driving, there are several steps you should follow to safely regain control:

Stay calm: Avoid any sudden movements or panicking, which can worsen the situation.

Hold the steering wheel: Keep a firm grip on the steering wheel to maintain control of the vehicle.

Decelerate gradually: Slowly lift your foot off the accelerator to decrease speed, but do not brake suddenly as this can cause further loss of control.

Slowly steer back: Gradually steer the vehicle back onto the roadway once you have slowed down sufficiently.

Check for traffic: Always ensure it is safe to merge back onto the road by checking for other vehicles.

By following these steps, you can safely recover from your front wheel dropping off the roadway and minimize the risk of an accident.

Answer:

Explanation:

If you are holding the bag of sand, the only acceleration in the system is gravity, because is a vertical movement. So, [tex]a = 9.81 \frac{m}{s^{2} }[/tex]

We are assuming that is vertical movement because is say ''dropped'', which is a term used in Free-fall models, where acceleration is constant.

For those of you taking the course on Edge, the right answer is D.

Answer: D) Substance W will transfer thermal energy to substance X through conduction if they are mixed.

Explanation:  Thermal energy is the energy possessed by an object by virtue of its temperature. It is transferred from a hotter object to a colder object till both the bodies attain the same temperature.

Radiation occurs when  thermal energy is transferred by electromagnetic waves. Conduction occurs when thermal energy is transferred when two objects are in direct contact.

Thus Substance W at a temperature of [tex]40^0C[/tex] will transfer thermal energy to substance X at a temperature of [tex]37^0C[/tex] through conduction if they are mixed as they are in direct contact.

It is to be noted that each line on a Speed-Lock cutting head tool arm knob moves the cutting tip .0025” in or out.

The question pertains to the movement of the cutting tip on a Speed-Lock cutting head tool arm knob.  A Speed-Lock cutting head tool arm knob likely refers to a component in a machining or cutting tool system, facilitating adjustments.

The statement "Each line on a Speed-Lock cutting head tool arm knob moves the cutting tip .0025” in or out" suggests that each line corresponds to a movement of 0.0025 inches for the cutting tip.

Therefore, the correct answer is option B, indicating that each line on the knob moves the cutting tip by 0.0025 inches.

Full Question:

Although part of your question is missing, you might be referring to this full question:

Q6. Each line on a Speed-Lock cutting head tool arm knob moves the cutting tip ______ in or out.

A. .001”

B. .0025”

C. .010”

D. .020”