a simple harmonic oscillator takes 11.5 s to undergo five complete vibrations. (a) find the period of its motion. s (b) find the frequency in hertz. hz (c) find the angular frequency in radians per second. rad/s

The change in the momentum of the bullet can be expressed as,

Finally, the bullet moves in the opposite direction therefore, final velocity is taken as negative.

Plug in the known values,

Thus, the change in the momentum of bullet is 12.1 kgm/s.

When shooting a bow and arrow, the archer pulls back the string and flexes the bow, storing potential energy.

Potential energy is the energy stored in an object due to its position or configuration. This type of energy is the stored energy of an object, which can be released and transformed into other forms of energy, such as kinetic energy. Potential energy is associated with forces such as gravity, electrical, and chemical, which can cause a change in an object’s energy state. Examples of potential energy include a stretched bow and arrow, a roller coaster at the top of a hill, and a compressed spring.

This potential energy is then transferred to the arrow in the form of kinetic energy. The arrow is then put in motion by the archer and due to the force of the bowstring, work is done in the form of acceleration. The arrow is then released and the kinetic energy propels it towards the target.

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Answer:

Pressure increases

Explanation:

"Gay Lussac's Law - states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. If you heat a gas you give the molecules more energy so they move faster. This means more impacts on the walls of the container and an increase in the pressure."

Answer:

if a gas produced, most likely a chemical reaction took place ​

Explanation:

Answer:

if a gas produced, most likely a Chemical reaction took place

Explanation:

hope this helps and have a good day <3

Answer:

U=37.24J

Explanation:

I don't know what the two answers would be, but the gravitational potential energy can be found with \(U=mgh\) where

m= mass in kg

g= gravity in \(\frac{m}{s^2}\)

h= height in m

For this problem, let

m= 4.0 kg

g= 9.8 \(\frac{m}{s^2}\)

h= 0.95 m

So,

\(U=mgh\\U=(4.0kg)(9.8\frac{m}{s^2})(0.95m)\\U=37.24\frac{kg*m^2}{s^2}\)

Recall that \(\frac{kg*m^2}{s^2}\) is equal to 1 Joule.  So,

U= 37.24J

Answer:

it could travle 95.333 feet

Answer:

Let's define:

The position zero will be in the first point where the truck and police car meet. (So the initial position of both vehicles is zero)

Then, the position equation for the truck is:

T(t) = 20m/s*t

Where t is our variable, time in seconds.

Now, at t = 5s, the car starts accelerating.

Ac(t) = 2m/s^2                    for( t ≥ 5s)

For the velocity of the car, we must integrate that.

V(t) = (2m/s^2)*(t - 5)           for (t ≥ 5s)

Where i introduced a little change in the variable because the velocity of the car starts to increase for t larger than 5 seconds.

For the position of the car we integrate again.

C(t) = (1m/s)*(t - 5)^2            for (t ≥ 5s)

Now, let's answer the questions:

Determine the time at which the speed of the truck is equal to the speed of the police car.

Then we must have:

V(t) = (2m/s^2)*(t - 5)  = 20m/s.   (Remember that we only can use times requal or larger than 5 seconds).        

2m/s^2*t - 10m/s = 20m/s

2m/s^2*t = 30m/s

t = (30/2) s = 15s

The velocities of both vehicles will be the same after 15 seconds.

t1 = 15s

How the positions will compare at this time?

The easier thing will be to evaluate the position equation of each vehicle in this time:

T(15s) = 20m/s*15s = 300m

C(15s) = (1m/s^2)*(15s - 5s)^2 = (1m/s^2)*(10s)^2 = 100m.

Then we can see that the truck is 200m ahead of the car.

But remember that the police car is accelerating, so the velocity will keep increasing meaning that eventually, the car will catch the truck.

Case: The effect of balloon color on inflation time.

Independent variable: Balloon color (categorical) with four levels (e.g., red, blue, green, yellow).

Dependent variable: Time taken for inflation to a diameter of 7 inches (continuous, measured in seconds).

Study design: Within-subject design (the same group of participants inflating balloons of different colors).

Confounding variable: Possible confounding variables could be the size or material of the balloons, as these factors might affect the inflation time. To control for this, it would be important to ensure that all balloons used in the experiment are of the same size and material.

Violation of Validity: A violation of validity could occur if the measurement of inflation time is not accurate or consistent (e.g., if the stopwatch used is unreliable or if the experimenter's recording of times is inconsistent). Ensuring proper measurement procedures and equipment would help mitigate this violation.

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Answer:

Rocket 4

Explanation:

since it has the smallest mass it is going to the bigger acceleration.

Answer:

C

Explanation:

In theory, rocket 4 has the least mass and highest force output in comparison.

Even though New Zealand is very far away, transporting milk from there to England can be more energy efficient than producing milk in England because New Zealand has a much more favorable climate for dairy farming, allowing cows to graze outdoors all year round.

This means that less energy is needed for heating, lighting, and ventilation compared to intensive indoor dairy farming in England. In addition, New Zealand's pasture-based farming practices require less energy-intensive inputs such as feed and fertilizer, further reducing the carbon footprint of milk production.

Lastly, modern transport methods such as refrigerated ships can transport large quantities of milk over long distances with relatively low energy use, making it a viable option for meeting demand in countries with less favorable conditions for dairy farming.

Most cows in New Zealand are Friesians (the black and white cows you see when driving past a farm) or Jersey cows (the soft brown cows). It's amazing how cows turn green grass into white milk. It is considered the most expensive grain or food for cows.

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To increase the rate of the succinate forming fumarate you can increase the ATP and the enzyme that catalyzes this reaction

The Krebs cycle, also known as the citric acid cycle comprises a set of chemical reactions that are essential for organisms to obtain energy.

One of the steps in the cycle involves the use of succinate with a chemical formula of C4H6O4 to form fumarate or C4H4O4. This means in this reaction it is necessary to remove 2 hydrogen atoms.

This process requires two main factors:

Based on this, the reaction can be faster if there is more succinate dehydrogenase or if the energy increases.

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Answer:

1280Nm

Explanation:

torque= I×alpha(angular acceleration)

so Angular acceleration is found by the following process.

Answer:

advantages of using renewable energy resource

it is safer and cleaner

it does not produces green house gas and has 0 carbon emission

for producing electricity we use solar and wind power that does not harm the environment

advantages of using non renewable energy resource

they are abundant

they are affordable

easy to use

they are easily accessible and compatible

easy to store

Light travels at the exact speed of 299,792,458 meters (983,571,056 feet) per second in a vacuum.

The light passes through a 2.0-mm-thick section of window glass

= 1 × \(10^{-14}\)    sec

Speed is defined as the rate at which an object's position changes in any direction. Speed is calculated as the ratio of distance traveled to time spent traveling. Speed is a scalar quantity because it has a direction but no magnitude. The SI unit of speed is milliseconds per second.

There are several types of speeds:

Speed is the street name for amphetamine sulphate, but it can also refer to other amphetamines. It's usually an off-white or pinkish powder that resembles crystals. It is also available in the form of a paste, which is usually white/grey or brown in color and can be damp and gritty.

Hence,

A thick piece of window glass = 2 mm

speed of light in medium = speed of light in vacuum / refractive index

      = (3×\(10^{8}\))/1.5  

       = 2 ×\(10^{8}\) m/s                                           

Time = distance / speed  

      = (2 × \(10^{-3}\) )/(2 × \(10^{-11}\))

      = 1 × \(10^{-14}\)    sec

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The negative plate is the one facing us because the electric field between the plates is zero, which can only happen if the two plates have the same magnitude and opposite sign of charge density.

Charge density is the amount of electric charge per unit area or per unit volume of a material or object. It is usually denoted by the symbol ρ and is measured in units of coulombs per square meter (C/m²) or coulombs per cubic meter (C/m³).

In the case of a charged plate, the charge density is the total charge on the plate divided by its surface area. For example, if a plate has a charge of 60 µC and an area of 2 m², then the charge density is:

Charge density = 60 µC / 2 m² = 30 µC/m²

Charge density is an important concept in electrostatics, as it is used to describe the distribution of electric charge over a surface or within a volume. It is also used in the calculation of electric fields and forces in electrostatics, as the electric field depends on the charge density of the objects producing the field.

Two large, charged plates with charge density ±30µC/m² facing each other with a separation of 5.0 mm.

One of the plates has a negative charge density.

We want to find out which plate is negative

1. Calculate the total charge on one of the plates using the charge density and the area of the plate:

Q = ±30 µC/m² * A

Here, A is the area of one of the plates.

2. Calculate the electric field due to each plate using Coulomb's law:

E = (1/4πε₀) * (Q / r²)

Here, r is the distance between the plates, which is 5.0 mm or 0.005 m.

ε₀ is the permittivity of free space, which is a constant and has a value of 8.85 x 10⁻¹² F/m.

Since there are two plates, calculate the electric field due to each plate and then take the difference between them to get the net electric field between the plates.

3. Substitute the values and calculate the electric field due to each plate:

E1 = (1/4πε₀) * (Q / r²)

E2 = (1/4πε₀) * (Q / r²)

Here, E1 is the electric field due to one plate, and E2 is the electric field due to the other plate. Since the plates have the same magnitude of charge density, their charges will have the same magnitude too, so we can drop the absolute value sign in Coulomb's law.

4. Subtract the electric field due to one plate from the electric field due to the other plate to get the net electric field:

E = E1 - E2

E = 0

Since, the net electric field is zero, this means that the electric field due to one plate is equal in magnitude and opposite in direction to the electric field due to the other plate. Therefore, the plates must have the same magnitude of charge and opposite signs of charge density.

5. Since, one of the plates has a negative charge density is known, this means that the negative plate is the one facing us. Therefore, the negative plate is the one that we were asked to identify.

Therefore, the negative plate is the one facing us.

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The number of electrons is = =3.875∙〖10〗^5 ,if the objects are initially neutral, and then each receive the same number of electrons, giving them the same charge.

Electrons are the smallest of the particles that make up an atom, and they carry a negative charge. The number of protons and electrons is equal in a neutral atom. The hydrogen atom, for example, has just one electron and one proton.

Where Are Electrons Unlike protons and neutrons, which are located inside the nucleus at the center of the atom, electrons are found outside the nucleus. Because opposite electric charges attract each other, negative electrons are attracted to the positive nucleus.

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Answer: ≈ 0.419 feet per year

Explanation:

   Units to know for this question:

       ➜ 365 days in a year

       ➜ 304.8 mm in a foot

   First, we will find the number of mm the hair grows per year.

0.35 mm per day * 365 = 127.75 mm per year

   Next, we will find out many feet that is.

127.75 mm per year / 304.8 mm in a foot ≈ 0.419 feet per year

Answer:

approx. 0.42 feet per year

Answer:

Gravity.

Explanation:

Gravity is considered to be a universal force of attraction which acts between all objects that has both mass, energy and occupy space. Therefore, it acts in such a way as to bring objects together.

Additionally, the gravity of earth makes it possible for all physical objects to possess weight.

This ultimately implies that, this force is a pull between all objects. It is the force that gives us weight here on Earth. And, if we throw a rock off of a cliff, it is the force that causes the rock to fall to Earth.

Answer:

V is changing

\(as \: skater \: moves : \: there \: is \: displacement \\ from \: third \: equation \: of \: motion \\ {v}^{2} = {u}^{2} + 2as \\ {( \delta \: V})^{2} = 2as \\ V \: \alpha \: s\)

When the elevator is going up, though, you are accelerating, which adds more force to the scale and increases your apparent weight. When the elevator is going down, the same is true, but the acceleration is negative, subtracting force from the scale and decreasing your apparent weight.

If a 0.3% decrease in the price of a good causes its quantity supplied to decrease by 1%, then the supply is C. Inelastic.

In this scenario, the supply of the good is considered inelastic. The elasticity of supply measures the responsiveness of the quantity supplied to changes in price. When the price of a good decreases, and the quantity supplied decreases by a larger percentage, it indicates that the supply is relatively unresponsive to price changes.

To determine the elasticity of supply, we compare the percentage change in quantity supplied to the percentage change in price. In this case, a 0.3% decrease in price results in a 1% decrease in the quantity supplied. Since the percentage change in quantity supplied (1%) is greater than the percentage change in price (0.3%), the supply is considered inelastic.

Inelastic supply means that producers are less responsive to price changes, and a small change in price leads to a proportionally smaller change in quantity supplied. In such cases, producers may find it challenging to adjust their output levels quickly in response to price fluctuations.

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If two concave lenses, each with f = -17 cm, are separated by 8.5 cm. An object is placed 35 cm in front of one of the lenses, then a) The final image distance is -23.2 cm. b) The magnification of the final image is 1.6.

a) We can use the thin lens equation to find the image distance and magnification for each lens separately, and then use the lensmaker's formula to combine the two lenses.

For each lens, the thin lens equation is:

1/f = 1/do + 1/di

where f is the focal length, do is the object distance, and di is the image distance.

Plugging in f = -17 cm and do = 35 cm, we get:

1/-17 cm = 1/35 cm + 1/di1

Solving for di1, we get:

di1 = -23.3 cm

The magnification for each lens is:

m1 = -di1/do = -(-23.3 cm)/35 cm = 0.67

Using the lensmaker's formula, we can find the combined focal length of the two lenses:

1/f = (n-1)(1/R1 - 1/R2 + (n-1)d/(nR1R2))

where n is the index of refraction, R1 and R2 are the radii of curvature of the two lens surfaces, and d is the thickness of the lens.

Since the two lenses are identical, we have R1 = R2 = -17 cm and d = 8.5 cm. Also, for simplicity, we can assume that the index of refraction is 1.

Plugging in these values, we get:

1/f = -2/R1 + d/R1²

Solving for f, we get:

f = -17.0 cm

So the combined focal length is still -17 cm.

We can now use the thin lens equation again, with f = -17 cm and di1 = -23.3 cm as the object distance for the second lens:

1/-17 cm = 1/-23.3 cm + 1/di2

Solving for di2, we get:

di2 = -13.8 cm

The magnification for the second lens is:

m2 = -di2/di1 = -(-13.8 cm)/(-23.3 cm) = 0.59

b) To find the total magnification, we multiply the individual magnifications:

m = m1 × m2 = 0.67 × 0.59 = 1.6

So the final image is upright and magnified, and its distance from the second lens is -13.8 cm, which means its distance from the first lens is:

di = di1 + d1 + di2 = -23.3 cm + 8.5 cm - 13.8 cm = -28.6 cm

Since the object is on the same side of the first lens as the final image, the image distance is negative, which means the image is virtual and on the same side of the lens as the object.

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Answer:

  0.4 m

Explanation:

The magnetic field strength is given by the formula ...

  B = (μ₀I)/(2πr)

where I is the current in the wire in amperes, and r is the distance from the wire in meters. The value of μ₀ is 4π×10^-7. We want to find r for B = 5×10^-5. This gives ...

  5×10^-5 = (4π×10^-7)(100)/(2πr)

  r = 2×10^-5/(5×10^-5) = 0.4

At a distance of 0.4 meters from the wire, the magnetic field is equal to that of Earth.

The total resistance of this circuit is 15Ω and the total power of the circuit is 60W.

The power is the ratio of the square of voltage and resistance. The total resistance is obtained from the addition of series and parallel resistance.

From the given,

Total resistance (Requ) = R₁ + R₂

R₁ is a series resistance

R₂ is the parallel resistance

R₂ = 1/15 Ω + 1/10 Ω

   = 10×15 / (15+10)

  = 150 / 25

 = 6Ω

Parallel resistance R₂ = 6Ω

R(equivalent) = R₁ + R₂

                      = 9 + 6

                      = 15Ω

Thus, the total resistance is 15 Ω.

The total power, P = E² / R(equivalent)

E represents the voltage

R(equivalent) is the equivalent resistance

P = 30×30 / 15

  = 60 watts.

Thus, the total power in the circuit is 60 watts.

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Answer:

The heat necessary to warm 500g of water from 20°C to 65°C is 37,620 J.

Explanation:

GIVEN: m = 500 gm, T₂ = 65°C AND T₁  = 20°C, we know that c (specific heat capacity) = 4180

TO FIND: The heat necessary to warm 500g of water from 20°C to 65°C.

SOLUTION:

By using the heat equation,

              Q=m c ΔT  

             ΔT = T₂ - T1

             ΔT = 65 - 20 = 45°C

In this case,

Q = 0.2 × 4180 × 45 = 37,620 J

Answer:

360 degrees is one full rotation starting at zero

it take 2 s  to the flag to rotate once in a full circle  with 3 rad/s of angular velocity.

Angular velocity is "rate of change of angular displacement with respect to time". i.e. ω= dθ/dt. it is also defined as angular displacement over time. i.e. ω = angular displacement/Time.

Angular velocity shows how much angle can be covered in unit time. It's SI unit rad/s.

Angular acceleration is rate of change of Angular velocity with respect to time.

i.e. α = dω/dt if an object changes its angular velocity in short time, we can say that it has greater angular acceleration. It is expressed in rad/s².

In this problem we have to calculate time, but the angular velocity id not given.

Consider the angular velocity is 3 rad/s.

Given,

Angular displacement θ = 2π

angular velocity ω = 3 rad/s

Time t = ?

Time = θ/ω

Time = 2π/3 rad/s = 2 s

Hence the answer is 2s.

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The statement that best describes how energy is conserved in this scenario is that the cold air absorbed energy from the water vapor, so it condensed and formed steam and the liquid water absorbed the energy of the fire, so it changed into a gas and evaporated. That is option B and D respectively.

The law of conservation of energy states that energy is neither created nor destroyed but can be changed from one form to another.

At the camping, energy from a lighter is being transferred to the wood and is being sustained by the chemical energy in the wood.

Upon the use of water to extinguish the fire, the liquid water absorbed the energy of the fire, so it changed into a gas and evaporated.

Also around the fire is the cold air which can absorb heat to form steam after condensation.

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