How to calculate acceleration with distance and time.

Answer:

6m/s^2

Explanation: this is because when the object is mass is increasing the object's acceleration will divide into two.

Answer:

question 1 is centripetal acceleration question 2 is 4

Explanation:

centripetal acceleration basically is acceleration that only changes velocity but not speed, while for question 2, you divide 10 by 2.5

NASA just discovered that Watney is going to have a big problem with radiation overexposure.

NASA has recently discovered that Watney, the astronaut stranded on Mars, is going to face a significant problem with radiation overexposure. Radiation is a major concern for space missions, particularly those that extend beyond the Earth's protective magnetic field. On Mars, the lack of a substantial atmosphere exacerbates this issue, leaving astronauts vulnerable to high levels of radiation from solar flares and cosmic rays.

Radiation exposure can have severe consequences for human health, including an increased risk of cancer, damage to vital organs, and impairment of the immune system. The longer Watney remains on Mars, the greater the cumulative dose of radiation he will receive, putting his well-being and potential survival at risk.

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If a musical note has a frequency of 212 Hz and a wavelength of 425 m, its velocity is 90.1 m/s.

The speed of sound is a relationship between frequency and wavelength, mathematically represented as follows:

speed = frequency x wavelength

In this case, the frequency is 212 Hz and the wavelength is 0.425 m. Plugging these values into the equation gives:

speed = frequency x wavelength

speed = 212 Hz x 0.425 m

speed = 90.1 m/s

Therefore, we can affirm that the the speed of the sound of the musical note is 90.1 m/s.

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Answer:

The main advantage of an electromagnet over a permanent magnet is that the magnetic field can be quickly changed by controlling the amount of electric current in the winding. However, unlike a permanent magnet that needs no power, an electromagnet requires a continuous supply of current to maintain the magnetic field.

Explanation:

The time interval during which the proton reaches this speed is 2.66 x 10^-5 s.

Given:

Electric field E = 630 N/C, Initial velocity of proton u = 0, Final velocity of proton v = 1.6 x 10^6 m/s a. Acceleration of the proton: The force on the proton is given by, F = q E Where q is the charge of proton and E is electric field F = (1.602 x 10^−19 C) (630 N/C) = 1.007 x 10^−16 N (magnitude)Thus, by Newton’s second law of motion, F = ma1.007 x 10^−16 N = (1.6726 x 10^−27 kg) aa = 6.01 x 10^10 m/s²

Therefore, the acceleration of the proton is 6.01 x 10^10 m/s².b. Time interval during which the proton reaches this speed :v = u + at Where v is the final velocity, u is the initial velocity, a is the acceleration and t is time interval. v = 0 + (6.01 x 10^10 m/s²) tv = 1.60 x 10^6 m t = 1.60 x 10^6 m / (6.01 x 10^10 m/s²)t = 2.66 x 10^−5 s

Therefore, the time interval during which the proton reaches this speed is 2.66 x 10^-5 s.

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Answer:

12 units

Explanation:

Original F = C q1q2/r^2    now change the parameters

  New F = C  1/3 q1  2 q2  / (2r)^2

              =  2/12  C q1q2/r^2    <=======the new force is 1/6 of original

1/6 * 72 = 12 units  

Answer:

14.44 degrees of C change

Explanation:

67 to 93 F is 26 degrees F change

C = 5/9 F

26 * 5/9 = 14.44 C change

Answer:

The automobile tire rotates 91 revolutions

Explanation:

Given;

angular acceleration of the automobile, α = 2.13 rad/s²

time interval, t = 23.2-s

To calculate the number of revolutions, we apply the first kinematic equation;

\(\theta = \omega_i \ + \frac{1}{2} \alpha t^2\)

the initial angular velocity is zero,

\(\theta =0\ + \frac{1}{2} (2.13) (23.2)^2\\\\\theta = 573.2256 \ Rad\)

Find how many revolutions that are in 573.2256 Rad

\(N = \frac{\theta}{2 \pi} = \frac{573.2256}{2\pi} \\\\N = 91 \ revolutions\)

Therefore, the automobile tire rotates 91 revolutions

The charge on a capacitor is q = (7.00 * 10^(-6)) * 16.0

To solve this problem, we'll use the formulas for energy stored in a capacitor and energy stored in an inductor.

Part A: Total Energy Stored in the Circuit (U)

The energy stored in a capacitor is given by the formula:

Uc = (1/2) * C * V²

Where:

Uc = energy stored in the capacitor

C = capacitance (7.00 μF = 7.00 * 10^(-6) F)

V = voltage across the capacitor (initial potential = 16.0 V)

Plugging in the values:

Uc = (1/2) * (7.00 * 10^(-6)) * (16.0)^2

Calculate Uc to find the energy stored in the capacitor.

The energy stored in an inductor is given by the formula:

Ui = (1/2) * L * I²

Where:

Ui = energy stored in the inductor

L = inductance (3.75 mH = 3.75 * 10^(-3) H)

I = current flowing through the inductor (maximum current, to be determined)

Since the capacitor and inductor are connected in series, the total energy stored in the circuit is the sum of the energies stored in the capacitor and inductor:

U = Uc + Ui

Part B: Maximum Current in the Inductor (imax)

In an LC series circuit, the maximum current in the inductor occurs when the energy is evenly split between the capacitor and the inductor. Therefore, the energy stored in the inductor (Ui) will be equal to the energy stored in the capacitor (Uc).

So we can write:

Ui = Uc

Plugging in the formulas:

(1/2) * L * I² = (1/2) * C * V²

Solving for I:

I = sqrt((C * V²) / L)

Calculate I to find the maximum current in the inductor.

Part C: Charge on the Capacitor Plates (q)

At the instant the current in the inductor is maximal, the charge on the capacitor plates will be equal to the maximum charge stored on the capacitor.

The charge on a capacitor is given by the formula:

q = C * V

Plugging in the values:

q = (7.00 * 10^(-6)) * 16.0

Calculate q to find the charge on the capacitor plates.

Please perform the calculations to obtain the numerical values for the energy stored in the circuit (U), maximum current in the inductor (imax), and charge on the capacitor plates (q).

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Part A: The total energy stored in the circuit is 0.000271 J.

The energy stored in a capacitor is given by the formula:

U = (1/2) * C * V²

where U is the energy, C is the capacitance, and V is the potential (voltage) across the capacitor.

Substituting the given values:

C = 7.00 μF = 7.00 × 10⁻⁶ F

V = 16.0 V

U = (1/2) * (7.00 × 10⁻⁶ F) * (16.0 V)²

U = 0.000271 J

Therefore, the total energy stored in the circuit is 0.000271 J.

Part B: The maximum current in the inductor is 4.25 A.

The maximum current in an inductor is determined by the equation:

iₘₐₓ = V / (L * ω)

where iₘₐₓ is the maximum current, V is the voltage across the inductor, L is the inductance, and ω is the angular frequency.

Substituting the given values:

V = 16.0 V

L = 3.75 mH = 3.75 × 10⁻³ H

ω = 1 / √(LC) = 1 / √((3.75 × 10⁻³ H) * (7.00 × 10⁻⁶ F))

Simplifying the expression for ω:

ω = 1 / √(2.625 × 10⁻⁸)

ω ≈ 9.064 × 10⁶ rad/s

iₘₐₓ = (16.0 V) / ((3.75 × 10⁻³ H) * (9.064 × 10⁶ rad/s))

iₘₐₓ ≈ 4.25 A

Therefore, the maximum current in the inductor is approximately 4.25 A.

Part C: The charge on the capacitor plates at the instant the current in the inductor is maximal is 0.119 μC.

The charge on the capacitor plates is related to the current in the inductor by the formula:

q = C * iₘₐₓ

where q is the charge, C is the capacitance, and iₘₐₓ is the maximum current in the inductor.

Substituting the given values:

C = 7.00 μF = 7.00 × 10⁻⁶ F

iₘₐₓ = 4.25 A

q = (7.00 × 10⁻⁶ F) * (4.25 A)

q = 0.119 μC

Therefore, the charge on the capacitor plates at the instant the current in the inductor is maximal is 0.119 μC.

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Answer:

The required acceleration is \(a=1.1\) m/s²

Explanation:

Given

To determine

Acceleration a = ?

We know that acceleration is produced when a force is applied to a body.

The acceleration can be determined using the formula

\(F = ma\)

where

now substituting F = 250 , and m = 221 in the formula

\(F = ma\)

\(250 = 221 (a)\)

switch the equation

\(221(a) = 250\)

Divide both sides by 221

\(\frac{221a}{221}=\frac{250}{221}\)

simplify

\(a=\frac{250}{221}\)

\(a=1.1\) m/s²

Therefore, the required acceleration is \(a=1.1\) m/s²

Answer:

Explanation: The Wheatstone bridge is the interconnection of four resistances forming a bridge. ... To find the value of unknown resistance the deflection on galvanometer made to zero by adjusting the variable resistor. This point is known as balance point of Wheatstone bridge

The most likely cause of the electrical failure in satellites and the disruption of radio communications at high latitudes would be a geomagnetic storm.

A geomagnetic storm is a disturbance in the Earth's magnetic field caused by solar wind interactions with the magnetosphere.

During a geomagnetic storm, charged particles from the Sun, known as solar energetic particles, can cause electrical disruptions in satellites by inducing currents in their systems.

These particles can also affect radio communications by interfering with the ionosphere, particularly at high latitudes where the magnetic field lines converge.

Solar flares, which are intense bursts of radiation from the Sun, and coronal mass ejections (CMEs), which are massive eruptions of plasma and magnetic field, can trigger geomagnetic storms.

However, the given information does not specify any indications of solar flares or CMEs, making a geomagnetic storm the most probable cause in this scenario.

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Explanation:

you can see this example to undersranding the question

Earth would be an icy wasteland if greenhouse gases were not present. Greenhouse gases keep our planet livable by retaining some of the Earth's heat energy, preventing it from escaping into space. The greenhouse effect refers to the trapping of heat.

These mixtures are carefully formulated to reduce the risk of oxygen toxicity and allow for safe and efficient diving at greater depths. False.

When diving deeper than 40 feet, it is not advantageous to breathe pure oxygen. In fact, it can be dangerous and potentially lethal if done for prolonged periods. Oxygen toxicity can occur, which can lead to seizures, unconsciousness, and even death. Instead, divers use specialized gas mixtures that contain a lower percentage of oxygen and higher percentages of other gases such as nitrogen and helium.  

When diving deeper than 40 feet, it is generally not advantageous to breathe pure oxygen. Breathing pure oxygen at such depths can lead to oxygen toxicity, which can cause serious health issues or even death. Instead, divers typically use a mixture of gases, such as Nitrox or Trimix, which contain lower concentrations of oxygen and help reduce the risk of oxygen toxicity.

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The net electrostatic force acting on the charged particle q₂ is 28.7 N.

Charge on the first particle, q₁ = 8 μC

Charge on the second particle, q₂ = 3.5 μC

Charge on the third particle, q₃ = - 2.5 μC

Distance between the charges q₁ and q₂, r₁ = 0.1 m

Distance between the charges, q₂ and q₃, r₂ = 0.15 m

Electrostatic force exerted on the charged particle q₂ and q₁,

F₁ = 1/4πε₀ (q₁q₂/r₁²)

F₁ = 9 x 10⁹ x (8 x 10⁻⁶ x 3.5 x 10⁻⁶)/(0.1)²

F₁ = 25.2 N

Electrostatic force exerted on the charged particle q₂ by q₃,

F₂ = 1/4πε₀ (q₂q₃/r₂²)

F₂ = 9 x 10⁹ x (3.5 x 10⁻⁶x -2.5 x 10⁻⁶)/(0.15)²

F₂ = -78.75 x 10⁻³/22.5 x 10⁻³

F₂ = -3.5 N

The net electrostatic force acting on the charged particle q₂ is,

F = F₁ - F₂

F = 25.2 - -3.5

F = 25.2 + 3.5

F = 28.7 N

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The product among alcohol, gasoline, travel souvenirs, cigarettes that will have elastic demand is cigarettes.

Elastic demand refers to a situation in which a change in the price of a good or service results in a more significant change in the amount demanded. When the percentage change in quantity demanded is greater than the percentage change in price, the demand for the product is said to be elastic.

When the quantity demanded of a product decreases significantly when the price rises, the demand for the product is said to be elastic. Similarly, when a slight change in price causes a significant change in quantity demanded, the demand is said to be elastic. Conversely, if a product's price increases by a small percentage, and the demand for the product decreases by a smaller percentage, the demand for the product is said to be inelastic.

Cigarettes, of all the products listed above, are likely to have an elastic demand.

This is because smokers who are addicted to cigarettes are more likely to quit smoking or reduce their consumption in response to an increase in the price of cigarettes compared to the other goods.

Thus, a slight increase in the price of cigarettes is likely to cause a significant decrease in the number of cigarettes consumed.

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The spacetime Using Lorentz transformation equation coordinates in the moving frame are (1303.93 m, 3.01 s).

Given information:

An event has spacetime coordinates (x,t)=1,300 m,3.0 s in reference frame S.What are the spacetime that moves in the negative x - direction at 0.03c?We know that the coordinates of the same event as observed from two different inertial frames are related by the Lorentz transformation equations.

Using Lorentz transformation equation:(x', t') = (γ(x − vt), γ(t − vx/c²))where γ = 1/√(1−v²/c²) represents the Lorentz factor, x is the position in the stationary frame, t is time in the stationary frame, x' is the position in the moving frame, t' is time in the moving frame, v is the relative velocity between the two frames and c is the speed of light in vacuum.We are given,x = 1,300 mt = 3.0 s, v = −0.03c (since the motion is in the negative x direction)∴ γ = 1/√(1−v²/c²) = 1/√(1−0.03²) = 1/0.997

The spacetime coordinates in the moving frame, (x', t') = (γ(x − vt), γ(t − vx/c²))= [1/0.997 (1300 - (-0.03c)(3.0))] m, [1/0.997 (3.0 - (-0.03c)(1300)/c²)] s= (1303.93 m, 3.01 s) [correct to 2 decimal places]

Therefore, the spacetime coordinates in the moving frame are (1303.93 m, 3.01 s).

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Answer:

This is because if the electric field is not perpendicular to the equipotential surface there would have existed some nonzero component along the surface.

Based on the given information, it can be determined that the net force acting on the cart is zero Newtons.

The applied force of 5 Newtons and the frictional force of 5 Newtons cancel each other out. This means that the cart is in a state of equilibrium, where the forces acting on it are balanced. In other words, the cart is not accelerating or decelerating and remains at rest or moves at a constant velocity. The cart experiences an applied force of 5 Newtons and an equal opposing frictional force. These forces cancel each other out, resulting in a net force of zero Newtons. Consequently, the cart is in equilibrium, indicating that it remains at rest or moves at a constant velocity.

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Answer:

The correct option is the last option.

Explanation:

Generally, when trying to create a mechanical advantage of a lever for an apparatus or a machine, the load is usually moved closer to the fulcrum. Hence, if a lever has a total length of 12 meters and the fulcrum is placed at 6 meters (the center), the best way (based on the previous statement) to double the mechanical advantage of the lever is to move the fulcrum 4 meters toward the side on which the force is applied. The correct option is the last option.

Answer: the answer  is  not  d  idk wat it is sorry but its not d

Answer:- Input for computer-based weather prediction models;

- Local severe storm, aviation, fire weather, and marine forecasts;

- Weather and climate change research;

- Input for air pollution models;

- Ground truth for satellite data

Explanation:

Out of 150 approved mortgage applications, a random sample may have variable or interest-only mortgages.

we are given that a random sample of 150 approved mortgage applications is either variable or interest-only mortgages. A variable mortgage, also known as an adjustable-rate mortgage (ARM), is a type of mortgage in which the interest rate fluctuates based on market conditions. An interest-only mortgage is a type of mortgage in which the borrower only pays interest on the loan for a certain period of time before beginning to make principal payments.To determine what percentage of the sample is variable or interest-only mortgages, we would need more information on the breakdown of the sample. However, we know that these are two different types of mortgages that borrowers can choose from when applying for a mortgage.

A home loan application is a report submitted to a bank when you apply for a home loan to buy land. The application is extensive and includes information about the borrower's employment history, financial situation, and the property being considered for purchase, among other things.

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The heat supplied to increase the temperature of the substance is used up to transform the state of matter of that substance. Hence the temperature of the substance stays constant until the phase transition completes.

In chemistry, phase transitions or phase changes are the physical processes of transition between a state of a medium of a substance. This term is used to refer to changes in the basic states of matter such as solid, liquid, and gas.

When a substance is heated or cooled and approaches a temperature corresponding to one of its phase transitions. Further gain or loss of heat results in diminishing or enhancing intermolecular attractions, instead of changing the molecular kinetic energies.

While a substance is undergoing a change in state which is a phase transition, its temperature remains constant. The horizontal lines on the graph represent the transition between the states of the substances X and substances Y.

When adding heat leads to the temperature of a substance being increased as the kinetic energy of the molecules of the substance increases. The conduction of heat occurs when these molecules start vibrating with high energy, Hence the heat transfer from one molecule to another.

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The velocity of the wave is defined by the product of wavelength and frequency. The velocity of a wave with a length of 10 m and frequency of 5hz will be 50 m/sec.

The velocity of the wave is defined by the product of wavelength and frequency. It is obtained from the formula of the wavelength which is given by;

\(\rm \lambda=\frac{v}{f} \\\\ \rm v = \lambda \times f \\\\ \rm v = 10 \times 5 \\\\ \rm v = 50\ m/sec\)

Hence the velocity of a wave with a length of 10 m and frequency of 5hz will be 50 m/sec.

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The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.

d (distance) from A to B is = √2gh

In this case given are, g = 9.8 m/s² and h = 100m,

so here d = √(2⋅9.8⋅100) = 44.3m.

Final velocity ,v = √2gh

Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,

g = 9.8 m/s² ,h = 100m,

v = √(2⋅9.8⋅100)

= 44.3 m/s (final velocity)

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The overall current of the power source decreases as lamps are connected in series.

As more bulbs are added to a series circuit, the overall resistance increases and the battery's output of current decreases. Every single bulb is affected by this current, making them all dimmer.

In a series circuit, every element is joined end to end, creating a single path for electrons to travel. Each component is linked across the other in a parallel circuit, creating exactly two sets of electrically connected points

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