hey could someone help with this

When fired at 33 m/s, a bullet pierce a wood block by 7 cm. Find the rate of deceleration and the stopping time.

EXPLANATION: Due to its great velocity, a bullet discharged from a gun has a very high kinetic energy. The bullet's kinetic energy affects the object it impacts or strikes. The enormous kinetic energy the bullet possesses as a result of its speed causes it to pierce its target.

In addition to piercing tissue, bullets that enter a human body also break a bone and dislocate limbs. In addition to piercing tissue, bullets that enter a human body also break a bone and dislocate limbs. A colostomy life-long bag is possible in the event of an intestinal damage.

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The windings' current is 8.00 A. A location close to the solenoid's center has a magnetic field of 0.0111 T.

The magnetic field at a point near the center of a solenoid can be calculated using the following formula:

B = (μ₀xnxI) / L

Where:

B is the magnetic field

μ₀ is the permeability of free space, which is 4π x 10^(-7) Tm/A

n is the number of turns per unit length of the solenoid, in turns/m

I is the current flowing through the solenoid, in A

L, length of solenoid

Given the radius of the solenoid as 0.75 cm = 0.0075 m, and the length of the solenoid as 15.0 cm = 0.15 m, the cross-sectional area of the solenoid is:

π*(0.0075 m)² = 1.767 x 10^-5 m²

The number of turns per unit length of the solenoid can be calculated by dividing the total number of turns by the length of the solenoid:

600 turns / 0.15 m = 4000 turns/m

We can now substitute these values into the formula:

B = (4π x 10^(-7) Tm/A) * (4000 turns/m) * (8.00 A) / (0.15 m)

B = 0.0111 T

Therefore, the magnetic field at a point near the center of the solenoid is 0.0111 T.

It is worth noting that this result is valid only when the solenoid is long enough so that its ends do not affect the magnetic field inside. Also, the solenoid is considered as tightly wound and the radius of the solenoid much smaller than the length, so that the magnetic field inside the solenoid is uniform.

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Answer:

30N

Explanation:

As we know that ,

Force = mass * acceleration

so substitute the respective values,

F = 15kg * 2m/s²

F = 30N

and we are done!

The savings in kWh from replacing the lights with a fluorescent bulb in one year is 496.4 kWh/yr.

Saving power = 60 w per night .

340 J/s ( 4h/d)(3600 sec/h) (365 d/yr)

( 1kWh/ 3.6 x 10 6 J)

= 496.4 kWh/yr

The capacity to perform work is a definition of energy. When energy is released, a body performs the same amount of work as it has energy stored. Scalar energy is a quantity. Joule is the SI unit for energy. 1 joule of energy is the amount of energy required to perform one joule of work.

According to the law of conservation of energy, energy can only be changed from one form to another rather than being created or destroyed. Unless energy is added from the outside, a system always has the same amount of energy.

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Answer: approximately the same time of day

Explanation:

The minimum time required to raise the bucket a vertical distance of 12m without breaking the cord is 2.58s

Given the mass of bucket of water (m) = 5.60kg

The strength acting on bucket is (F) = 75N

The distance bucket is raised (s) = 12m

Let the time taken to raise the bucket = t

So, W = m x g as a force of gravity is always acting on a system.

W = 5.60 x 9.8 such that W = 54.88N

The maximum accelerating force acting on the cord (Fr) = 75 - 54.88 = 20.12N

We know that from Newtons laws of motion F = ma where a is the acceleration and F is the force.

Fr = ma then a = 20.12/5.60 = 3.59m/s^2

Then according to the problem s = ut + 1/2at^2 where u is initial velocity which is 0m/s as at rest initially.

So, s = 1/2at^2 then 12 = 1/2 x 3.59 x t^2

t^2 = 24/3.59  = 6.68

t = 2.58s

Hence the minimum time required to raise the bucket a vertical distance of 12 m without breaking the cord is 2.58seconds.

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Yes, a=f/m where a is the acceleration, f is the force, and m is the mass of an object,  a=0.2m/s^2

According to Newton's 2nd law of motion, According to this law, the rate of change of linear momentum of a body is directly proportional to the external force applied on the body, and this change takes place always in the direction of the force applied. In simple terms, it means that a larger force will change the momentum of an object more quickly as compared to a smaller force.

Mathematically, we can write

F∝ dp/dT

where p is the momentum

F∝ (mv-mu)/t₂-t₁

where v is the final velocity and u is the initial velocity

Now, F∝{m(v-u)}/(t₂-t₁)

         F∝ma                       [∵ a=(v-u)/t]

         F=kma

∴  when k=1

  F=ma

Now according to this question,

f=10,000 N    and     m=50,000kg

By applying the formula,

F=ma

10,000=50,000*a

∴ a= 10,000÷50,000

a=0.2  or 2×10⁻¹ m/s²

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It is 1.93 metres away from the post.

for vertical motion

[tex]S= u t + \frac{1}{2} g t^{2}[/tex]

S = 0 +  [tex]\frac{1}{2} g t^{2}[/tex]

1.7 = [tex]\frac{1}{2} 9.8 t^{2}[/tex]

t = 0.589 sec

using law of  conservation of momentum, on the horizontal motion

[tex]m_{bullet} \ v_{bullet i} = m_{bullet} \ v_{bullet f} + m_{tin} \ v_{tin}[/tex]

[tex]0.0020 = 0.0020 \ 3 \ 720 + 0.11 \ v_{tin}[/tex]

[tex]v_{tin}[/tex] = 3.273 m/s

S = [tex]v_{tin} \ t[/tex]

   = 3.273 m/s * 0.589 s

   = 1.93 m

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When the force applied on the ball causes it o accelerate into the field

goal, Positive work is done on the ball.

option B.

A work is said to be done when an applied force causes a displacement of an object.

Mathematically, the formula for work done is given as;

W = Fd

where;

Thus, when  a soccer player kicks a ball moving in a straight line

towards the field goal, causing it to accelerate into the field goal, the work done on the ball is a Positive work.

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The nearest point to a charged item or the position of a point charge has the greatest electric field. As the distance from the charge grows, the electric field's intensity diminishes.

A force field called an electric field is produced when one electric charge interacts with other charges in the field and either attracts or repels them. The volts per metre (V/m) unit of measurement for the electric field is the letter E. It may be seen as a charge producing lines of force. A positive test charge would be pushed towards the direction of the electric field at a specific spot if it were to be placed there. The strength of the electric field is highest when the lines are close together and weakest when they are far apart.

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The particles leave a trail behind them as they move. The longer the trail, the faster that the particle is moving. During any up-and-down cycle of the particle, describe the speed. It moves with the greatest speed AND smallest speed when there is a change in the direction.

The speed of an object is described as the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time;

Speed is  a scalar quantity.

The particle will move faster when there is a change in the direction on the movement of the particle.

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The ratio of the engine's work, W, to the heat absorbed from the high-temperature heat source, QH, is the measure of a heat engine's efficiency, or e. In mathematical terms, it looks like:e = W/QH

According to the second law of thermodynamics, the maximum efficiency of a heat engine, also known as the Carnot efficiency, eC, is equal to the difference between the temperatures TH and TC:

eC = 1 - (TC/TH) The Carnot efficiency is the maximum efficiency of a theoretical heat engine, also known as a Carnot engine, which operates between two temperatures TH and TC and is thought to be the most efficient heat engine possible.

Therefore, the following is the range of possible e values for a heat engine operating between TH and TC:

0 e eC = 1 - (TC/TH), indicating that a heat engine's efficiency cannot exceed the Carnot efficiency and cannot fall below 0.

A heat engine's maximum theoretical efficiency is measured by the Carnot efficiency, after the French engineer Sadi Carnot. The ratio of the heat engine's work to the heat absorbed from the higher-temperature heat source is what is used to define it. It is calculated as follows:

eC is equal to 1 - (TC/TH), where TC is the cold reservoir temperature and TH is the hot reservoir temperature.

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Organ function is related to cell size which determines the function of tissues explains the relationship between cells, tissues and organs in the human body

Define a cell.

The smallest structural and operational unit of an organism is a cell. Although it is often tiny, macroscopic cells can also exist. Your body's basic building blocks are these cells, which are present in many different forms.

A tissue is made up of a collection of comparable cells and the connective tissue that binds them together to serve a common purpose. An organ is a collection of tissues found in an organism that cooperate to carry out a specific task. The lungs, kidneys, and stomach are a few examples. The bronchi, bronchioles, and alveoli all work together to assist the lungs exchange oxygen and carbon dioxide from the blood.

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The average force acting on a given area is 21.98 Pa.

A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity because it has both magnitude and direction.

Here,

Force = Mass X acceleration = 0.004kg x 9.8. This is when the hailstone is not inclined at an angle.

When the hailstone is inclined at an angle of 45, then the component of force along the glass window will be F =0.004kg x 9.8 x sin20= 0.005kg x 9.8 x 0.707= 0.0357N.

Therefore, total force for the 500 hailstones would be 500x0.0357N=17.85N

This force is acting on an area equal to 0.788m2

Pressure = Force per unit area = 17.32N/0.788m2 = 21.98Pa

The force is acting on an area known as average force is 21.98 Pa.

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For the investigation and analysis of micro- and nanoparticle imaging characterisation of solid objects, scanning electron microscopes (SEM) are among the most frequently used instrumentation.

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The de Broglie wavelength of the electron is 2.212 x 10-11 m.

The de Broglie wavelength is a concept in quantum mechanics which states that all matter has a wave-like nature, and can thus be described as a wave.

(a) The de Broglie wavelength (λ) of a particle is given by the equation: λ = h/p, where h is Planck's constant (6.626 x 10-34 J.s) and p is the momentum of the particle.
The momentum of an electron with a 1000-V potential drop is given by the equation p = eV/c,
where e is the electron charge (1.602 x 10-19 C) and c is the speed of light (2.998 x 108 m/s).
Therefore, the de Broglie wavelength of the electron is:
λ = h/(eV/c) = (6.626 x 10-34 J.s) / (1.602 x 10-19 C x 1000 V/2.998 x 108 m/s) = 2.212 x 10-11 m.

(b) X-rays are produced when high-energy electrons strike a solid.
The wavelength of the x-ray is inversely proportional to the energy of the electron.
The energy of the electron is equal to the potential drop, i.e. 1000 eV. Therefore,
the wavelength of the x-ray produced is: λ = hc/eV = (6.626 x 10-34 J.s x 2.998 x 108 m/s)/(1.602 x 10-19 C x 1000 eV) = 1.246 x 10-10 m.

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When an object reaches terminal velocity its acceleration becomes zero.

Terminal velocity is also called constant velocity. When there is no acceleration in the moving object. We can take the example of sedimentation.

Sedimentation is the process of settling down the soil particles at the bottom of the water. When soil particles comes down in water there are three forces which act on the particles. Downward force is weight of the particle. Upward force buoyant force of the water, and drag force. When upward forces become equal to the downward force then particles begins to settle down with a constant velocity. which is called terminal velocity.  

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The time it takes for the sandbag to reach the ground would depend on the height from which it was released. The value is calculated to be t = √(2 s/(3g/4)).

To find out how long it takes for the sandbag to reach the ground, we can use the equation of motion for a vertically falling object under the influence of gravity:

s = v₀ t + (1/2) g t²

where s is the distance fallen, v₀ is the initial velocity (which is 0 m/s for the sandbag), t is the time elapsed, and g is the acceleration due to gravity (approximately 9.8 m/s²).

We know that the sandbag is being released from the balloon and has an upward acceleration of g/4. So, the equation of motion becomes

s = v₀ t + (1/2)(g - g/4) t²

We also know that s is the distance fallen to the ground, which we can take as the final distance.

Now solving the equation for t, t = √(2 s/(g - g/4))

It is given that the magnitude of the upward acceleration is g/4, so (g - g/4) = 3g/4, so the final equation becomes t = √(2 s/(3g/4))

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In the transverse wave, point D represents the trough of the wave.

option D.

A wave two important points point, one curves upwards while the other curves downwards.

The maximum value of upward displacement within a cycle of a wave is known as crest. So the crest is a point on a surface wave where the displacement of the medium is at a maximum.

The maximum value of downward displacement within a cycle of a wave is known as trough.

Thus, from the graph, point A represents crest of the wave while point D represents trough of the wave.

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The reading on the thermometer after more minutes will depend on the rate at which the temperature of the room and the outdoors change.

A thermometer is a device used for measuring temperature. It consists of a hollow tube made of glass that is filled with a liquid, such as mercury or alcohol, and a scale. When the temperature changes, the liquid expands or contracts, causing the scale to indicate the temperature.

If the temperature of the room and the outdoors remain relatively constant, then the reading on the thermometer after more minutes would likely be the same as the reading after one minute. However, if the temperature of the room or the outdoors changes faster than the other, then the reading on the thermometer after more minutes will be different from the reading after one minute.

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Period of the pendulum on Mars is 1.84 seconds (rounded to 2 decimal places).

Period of any pendulum is the distance from the pivot to center of oscillation.

The period of a pendulum, T:

T = 2 * pi * sqrt(L/g);  L is length of pendulum and g is acceleration due to gravity.

On Earth, period of the pendulum is 1.04 seconds. To find the period on Mars, we can use fact that the acceleration due to gravity is 0.37 times that on Earth:

g_mars = 0.37 * g_earth

T_mars = 2 * pi * sqrt(L/g_mars)

Now we know ; T_mars = T_earth * sqrt(g_earth/g_mars)

T_mars = 1.04 * sqrt(1/0.37) = 1.04 * 1.76 = 1.8368 s

Therefore, the period of the pendulum on Mars is 1.84 seconds (rounded to 2 decimal places).

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Answer: Through observing the motion of sunspots

Explanation:

Answer:

The Sun spins on its axis once every 27 days. Its rotation had been initially discovered by watching the movement of sunspots. Because the Sun's rotational axis is tilted by around 7.25 degrees first from the direction of the Earth's orbit, humans observe more of the Sun's north pole in September & more of the south pole in March.

The speed of a bicycle and its rider with a combined mass of 120 Kg is 50m/s.

                           momemtum of the car = mass × speed

                                                                 = 1200 × 5

                                                                 = 6000 kg m/s

       Mass of the bicycle = 120 kg.

                                 momentum of the bicycle = mass × speed

                                                  [tex]speed = \frac{6000}{120} \\\\ speed = 50 m/s[/tex]    

Therefore, the speed of the bicycle and its rider = 50 m/s      

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Answer:

Explanation:

Cedric is correct because he used the inverse of subtraction and added 4.5

The information supports the assertion that the elementary charge has a value of 1.6. All of the values are more than that number, proving the assertion.

Utilizing augmented reality (AR) technology, the Measure app transforms your iPhone into a tape measure. Objects' sizes can be estimated, the measurements of rectangular objects can be automatically determined, and a photo of the measurement can be saved.

Simple measurements are those that just employ one kind of unit. hours and minutes To find all three numbers in seconds, we must use the conversion factors, for instance, if we wish to convert 2 hours, 23 minutes, and 12 seconds into seconds.

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Allow two positive charges. Cuban and American two were distantly separated B. Cubans also use force against one another. This is also cute. Thus, the force will be equal to Q1 + Q2 + R^2.

A characteristic of matter that affects how much force an object experiences when exposed to an electromagnetic field. A substance's charge might be positive, negative, or neutral. Total electric charge is conserved and cannot be created or destroyed, much as energy and matter.

Coulomb's constant, often known as the electric force constant, has a value of

K=   [tex]\begin{equation*} 9\times10^9 \end{equation*}[/tex]  [tex]\begin{equation*} \frac{Nm^2}{C^2} \end{equation*}[/tex]

Electrostatic force formula

[tex]\begin{equation*} \left|F_{E} \right|=K\left|\frac{q_1q_2}{r^2}\right| \end{equation*}[/tex]      

[tex]F_{E}[/tex] is a electric force [tex]q_{1}[/tex]  and [tex]q_{2}[/tex] is electric charge in coulomb K is constant,  r  is the distance between the charges  

The magnitude of the electric force between [tex]q_{1}[/tex] and [tex]q_{2}[/tex]

Directly proportional to the size of the charges and inversely proportional to the square of the distance between them is the formula q, start subscript, 2, end subscript. The name of this equation is Coulomb's Law.

Comparing electric force and gravitational force with Newton's law of gravitation:

[tex]\begin{equation*} \left|F_E\right|=K\left|\frac{q_1q_2}{r^2}\right| \end{equation*}[/tex]

[tex]\begin{equation*} \left|F_G\right|=K\left|\frac{q_1q_2}{r^2}\right| \end{equation*}[/tex]

Similar to how gravitational force grows in strength with mass, electric force grows in strength with the size of the charges. Along the fictitious line connecting the items, both forces operate. The inverse-square law states that both forces are inversely proportional to the square of the distance between the objects. Additionally, both forces have constants of proportionality.

The relative intensities of gravitational and electric forces, which are determined by the ratio of K to G, are a disparity between them. The gravitational force between an electron and a proton is much smaller than the electrostatic force between them by several orders of magnitude.

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The weight of an 8200 N spacecraft when it is 43200 km above earth's surface is 136.5 N

The formula for the gravitational force between two objects is:

F = GMm/r²

Where:

G = gravitational constant

M, m = mass of the objects

r = distance between objects.

Notice that the gravitational force is inversely proportional to the square of the distance.

Hence,

F1 : F2 = (r2)² : (r1)²

In this case:

r1 = 6400

r2 = 6400 + 43200 = 49600

The gravitational force between earth and the spacecraft represents the weight of the satellite. Hence,

w1 : w2 = (r2)² : (r1)²

8200 : w2 = 49600² : 6400²

w2 = 136.5 N

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1) They would collide with the walls more frequently

2) They would collide with the walked more frequently

We know that collisions occur when there is a bump of an object against an obstacle. In the case of the scenario that we have here, we have been told that there are 50 people walking in straight lines in a room. If we move the walls to half the size they would collide with the walls more frequently.

In the second case, if the people that were walking in a straight line now begin to run, the chances are that they would collide with the walls more frequently.

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Answer:

Explanation: It's R/n