What is the average cost for a severe injury in a collision?
A. $4,000
B. $15,000
C. $47,000
D. $247,000

Answer:

450N

Explanation:

1) F=ma F2=50kg*3m/s^2=150N

2)Ff=F1-F2=600N-150N=450N

A student is pushing a 50 kg cart, with a force of 600 N. Another student measures the speed of the cart, and finds that the cart is only accelerating at 3 m/s². Friction force acting on the cart is 450 N.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given in the question a student is pushing a 50 kg cart, with a given force of [tex]F_1[/tex] = 600 N. Another student measures the speed of the cart, and finds that the cart is only accelerating at 3 m/s²,

F = ma

[tex]F_2[/tex] = 50 kg*3 m/s²

     =150 N

Frictional force,

[tex]F_f[/tex] = [tex]F_1 - F_2[/tex]

   = 600 N-150 N

   = 450 N

A student is pushing a 50 kg cart, with a force of 600 N. Another student measures the speed of the cart, and finds that the cart is only accelerating at 3 m/s². Friction force acting on the cart is 450 N.

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The most reliable form of identifying potentially effective reinforcers is known as Preference Assessment. It is an adaptive procedure vastly used in the field of reinforcers.

Explanation:

Preference Assessment identifies items that are likely to be effective as reinforcers by identifying a particular learner's preference for them.

Explanation:

The primary to secondary voltage ratio is given as 4:1 .

That is

                 [tex]\frac{V_p}{V_s}=\frac{4}{1}=4[/tex]

We need to find what is the secondary voltage if the primary voltage is 460 volts.

That is

                    [tex]V_p=460V[/tex]

Substituting in ratio equation

                    [tex]\frac{V_p}{V_s}=4\\\\\frac{460}{V_s}=4\\\\V_s=\frac{460}{4}\\\\V_s=115V[/tex]

The secondary voltage is 115 V.                  

Final answer:

To find the secondary voltage in a transformer with a primary to secondary voltage ratio of 4:1 and a primary voltage of 460 volts, divide the primary voltage by 4, resulting in a secondary voltage of 115 volts.

Explanation:

To solve for the secondary voltage in a transformer when given a voltage ratio of 4:1 and a primary voltage of 460 volts, we can use the transformer equation.

This equation states the ratio of the secondary voltage (Vs) to the primary voltage (Vp) is equal to the ratio of the number of turns in the secondary coil (Ns) to the number of turns in the primary coil (Np).

In this question, the primary to secondary voltage ratio is 4:1. If the primary voltage (Vp) is 460 volts, we can calculate the secondary voltage (Vs) by dividing the primary voltage by the ratio, which in this case is 4. Therefore, Vs = 460 / 4 = 115 volts.

Answer:D

Explanation:

Hawking showed that quantum effects allow black holes to emit exact black-body radiation. The

electromagnetic radiation is produced as if emitted by a black body with a temperature inversely proportional to the mass of the black hole. One of the pair falls into the

black hole while the other escapes

The spring stiffness constant of the fisherman's scale, based on Hooke's Law, is 653.3 N/m. If a fish is pulled down further by 2.1 cm, it will oscillate with an amplitude of 5.7 cm and a frequency of approximately 0.816 Hz.

To answer part (a) of your question about what the spring stiffness constant is, we use Hooke's Law. This law states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. This relationship is formally shown as F = k * x, where F is the force (in this case, the weight of the fish influences this force), k is what we are looking for (the spring stiffness constant), and x is the displacement (how much the spring stretches due to the force).

In this problem, the fish's weight becomes the force, which you can calculate as mass * gravity, or 2.4 kg * 9.8 m/s² = 23.52 N. The scale stretches 3.6 cm, or 0.036 m. Substituting these into Hooke's law gives us 23.52 N = k * 0.036 m, and solving for k provides a value of approximately 653.3 N/m. Thus, the spring stiffness constant is 653.3 N/m.

As for part (b) of the question, determining the amplitude and frequency of the oscillation if the fish is pulled down a further 2.1 cm and released, we know that the amplitude simply the displacement from the equilibrium position. Hence, total displacement from equilibrium is 3.6 cm (initial stretching) + 2.1 cm (additional pull) = 5.7 cm, or 0.057 m. This is the amplitude of the oscillation.

For the frequency of the oscillation, we need to understand the fish-spring system as a simple harmonic oscillator. The frequency (f) of a simple harmonic oscillator system is given by f = 1 / (2π) √(k/m), where k is the spring constant and m is the mass. Substituting our known values gives a frequency of approximately 0.816 Hz. Therefore, the oscillations will have an amplitude of 5.7 cm and a frequency of 0.816 Hz.

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Answer:

The force of impact is same for both objects.

Explanation:

It is given that,

Speed of the car, v = 100 km/h

It is understood that the mass of car is more than that of the bug. When one object strikes another object, they both applies a force on each other. One object applies the same force on another object when they strikes as per Newton's third law of motion.

In this case, when a car strikes a bug, the force of impact is the same for both. Hence, the correct option is (c).

According to Newton's third law, for every action, there is an equal and opposite reaction. Therefore, the force of impact when a car strikes a bug is the same for both. However, due to its smaller mass, the impact has a much larger effect on the bug.

The subject of this question is Physics and it relates to the principle of Newton's Third Law which states that 'for every action, there is an equal and opposite reaction'. When the car and the bug collide, they apply forces to each other of equal magnitude and opposite direction. Thus, the force of impact is actually the same for both, as suggested by option C.

However, the consequences of this force are more notable for the bug due to its much smaller mass compared to the car. The high acceleration experienced by the bug (according to Newton's second law 'Force = Mass x Acceleration') causes it to splatter, while the car continues largely unaffected.

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Answer:

Ceteris Paribus

Explanation:

The process of examining a change in one variable in a model while assuming that all the other variables remain constant is called Ceteris Paribus.

Ceteris Paribus is a Latin phrase that means "all other things being equal" or "all other things held constant" in English. The phrase has found application in disciplines like Economics and Statistics. This phrase as being adopted as a process of examining a change in one variable in a model while assuming that all the other variables remain constant to ascertain the relationship between the variables or make deductions from an experimental study. An example of Ceteris Paribus application is the law of demand and supply in Economics. The law of demand states, Ceteris Paribus, the higher the price, the lower the quantity demanded and vice versa. Conversely, the law of supply states, Ceteris Paribus, the higher price, the higher the quantity supply and vice versa.

Answer:

The total linear momentum at any time is zero.

Explanation:

Hi there!

The momentum of an object is a vector that is calculated by multiplying the mass of the object times its velocity.

The momentum of the system is calculated by adding the momenta of each object that comprise the system (in this case, all the people in Times Square).

Since the people move randomly in all directions, it is most probable that the total momentum of the system is zero because the momentum vectors of people moving in one direction will surely be canceled by the momentum vectors of people moving in the opposite direction. In total, the sum of momentum vectors will be zero (the standing people have null momentum because their velocities are zero).

Final answer:

The total linear momentum of a crowd in Times Square on New Year's Eve can be approximated as zero due to the random and varied movements of the people in the crowd, balancing each other out.

Explanation:

When considering the total linear momentum of a system like the crowd in Times Square on New Year's Eve, we must consider that the system is made up of individuals moving in various directions with different velocities. According to the physical definition of momentum, which is the product of mass and velocity (P = mv), every person has their own momentum. If we assume an idealized situation where movement is random and there is as much motion in one direction as in any other, the total momentum of the system can approximatively be zero at any given instant due to the cancellation of people's momentums in opposite directions. Moreover, because people are not likely to all be moving in the same direction with the same speed at the same time, the net velocity (and thus momentum) of the system may be negligible if averaged over time.

According to Newton's second law in terms of momentum, in the absence of an external force, there would be no change in the total momentum of the system. Therefore, assuming Times Square is a closed system with no significant external forces acting on it, and given the randomness of movement, it can be approximated that the total linear momentum of the crowd is approximately zero.1

Answer:

19696 J or 19700 J

Explanation:

COMPONENT OF FORCE IN DIRECTION OF DISPLACEMENT IS

F cosФ = 200 cos 10° = 196.96 N

work = component of force in direction of displacement ×  displacement

        = 196.96 × 100

        = 19696 J

       = 19700 J

The work done by rope is equal to 19696 J on the skier during a forward displacement of 100 m

Work can be described as the energy used when a force is applied in order to move an object through a specific displacement. The performed work defines both the applied force and the displacement of the object.

The force acting is to move an object in a line in the direction of the pushing force over a distance 'd'.

W= F ×d

Where 'F' is the force and 'd' is the displacement and W is work done by an object.

If the angle θ  with the forward direction of motion then work = Fd cos θ

Given, the force acting, F = 200 N

The angle with the forward direction of motion, θ = 10°

Given, the displacement in the forward direction, d = 100 m

Work done by the rope, W = Fd cos θ

W = 200 × 100 cos 10°

W = 19696 J

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Answer:

Cause: If you have a disk that does not appear in File Explorer and is shown in Disk Management as Uninitialized, it may be because the disk does not have a valid disk signature. Basically, this means that it has never been initialized or formatted, or that the drive format has been damaged in some way.

It is also possible that the disk has hardware problems or problems connecting, but we will get to that in some paragraphs.

Solution: If the unit is completely new and should only be initialized, erasing the data it contains, the solution is easy: see Initialize new disks (Initialize new disks). However, there are many possibilities that you have already tried this and that it has not worked. Or maybe you have a disk full of important files and you don't want to erase it by initializing it.

There are a number of reasons why a disk may fail or that it did not have to be initially started, with a common reason why the disk is failing. There are many things that can be done to correct a disk error, but here are some steps to see if we get them to work again. If the disc works after performing one of these steps, do not worry about the following; just relax, celebrate it and, maybe, update the backups.

Examine the disk in Disk Management. If Disconnected appears as shown here, try to right-click on it and select Connected.

The disk appears as disconnected

If the disk appears in Disk Management as Connected and has a main partition that appears as Correct, as shown here, it is a good sign.

The disc is shown as connected with a correct volume

If the partition has a file system, but no drive letter (for example, E :), see Change a drive letter (Change a drive letter) to add a drive letter manually.

If you don't have a file system (NTFS, ReFS, FAT32 or exFAT) and you know the disk is empty, right-click on the partition and select Format. When formatting a disk, all the data it contains is erased, so don't do it if you are trying to recover files from the disk; instead, go to the next step.

If you have an external disk, disconnect it and reconnect it, and then select Action> Re-examine the disks.

Turn off your PC, disable the external hard drive (if it is an external drive with a power cable), and then reactivate your PC and disk. To deactivate your Windows 10 PC, select the Start button, then the power button, and then select Shut down.

Plug the disk into another USB port that you can find directly on your PC (not in a hub). Sometimes, USB disks do not have enough power from some ports or have other problems with certain ports. This is especially common with USB hubs, but sometimes there are differences between the ports of a computer, so you can try different ports, in case we have.

Try another cable. It might seem crazy, but the cables fail a lot, so you can try using another cable to connect the disk. If you have an internal disk on a desktop computer, you will probably need to turn off your PC before changing cables; Consult your PC manual for more information.

Composed by Device Manager to see if there are problems. Press and hold the Start button (or right-click on it), and then select Device Manager from the context menu. Search for devices with an exclamation point next to it or other problems, double-click on the device, and then read its status.

Answer:

We can cause delamination.

Explanation:

The reason why is because the probability of causing delamination increase considerably when we use Hole-filling fasteners. If we use a typical rivet, these tends to expands in order to fill the hole.

If we analyze the force applied by the expanded rod will cause that the matrial will be deteriorated and will cause that the material to delaminate around the edges of the hole and we can cause possible control and no protection to the material.

Answer:

Both objects will undergo the same change in velocity

Explanation:

m = Mass of the Earth =  5.972 × 10²⁴ kg

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

r = Radius of Earth = 6371000 m

m = Mass of object

Any object which is falling has only the acceleration due to gravity.

[tex]ma=\dfrac{GMm}{r^2}\\\Rightarrow a=\dfrac{GM}{r^2}\\\Rightarrow a=\dfrac{6.67\times 10^{-11}\times 5.972\times 10^{24}}{(6.371\times 10^6)^2}\\\Rightarrow a=9.81364\ m/s^2[/tex]

The acceleration due to gravity on Earth is 9.81364 m/s²

So, the speeds of the objects will change at an equal rate of 9.81364 m/s² but the change will be negative when an object is thrown up.

Hence, both objects will undergo the same change in velocity.

a) The acceleration in absence of friction is [tex]3.5 m/s^2[/tex]

b) The acceleration in presence of friction is [tex]0.6 m/s^2[/tex]

Explanation:

a)

First of all, we notice that the crate accelerates only along the horizontal direction, since the forces in the vertical direction are balanced (in fact, the weight is balanced by the normal reaction + the vertical component of the applied force).

This means that we can consider only the horizontal component of the applied force, which is

[tex]F_x = F cos \theta = (280)(cos 35^{\circ})=229.4 N[/tex]

where

F = 280 N is the applied force

[tex]\theta=35^{\circ}[/tex] is the angle

Now we can find the acceleration of the crate, by using Newton's second law:

[tex]F_x = ma[/tex]

where

[tex]F_x = 229.4 N[/tex] is the net force along the horizontal direction

m = 65 kg is the mass of the crate

a is the acceleration

Solving for a, we find

[tex]a=\frac{F_x}{m}=\frac{229.4}[65}=3.5 m/s^2[/tex]

b)

In this case, we also have the force of friction, so we have to compute the force of friction.

We start by writing the equation of the forces along the vertical direction:

[tex]R+F sin \theta - mg = 0[/tex]

where

R is the normal reaction

[tex]F sin \theta[/tex] is the vertical component of the applied force

[tex]mg[/tex] is the weight

We can re-write this as

[tex]R=mg-Fsin \theta[/tex] (1)

Now we can write the equation of the forces along the horizontal direction

[tex]F cos \theta - \mu_k R = ma[/tex] (2)

where

[tex]F cos \theta[/tex] is the horizontal component of the applied force

[tex]\mu_K R[/tex] is the force of friction, with [tex]\mu_k = 0.4[/tex] is the coefficient of friction

By substituting (1) into (2) and solving for a, we find the new acceleration of the crate:

[tex]F cos \theta - \mu_k (mg-F sin \theta) = ma\\a=\frac{F cos \theta - \mu_k mg +\mu_k F sin \theta}{m}=\frac{(280)(cos 35)-(0.4)(65)(9.8)+(0.4)(280)(sin 35)}{65}=0.6 m/s^2[/tex]

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Answer:

3.53 m/s^2

Explanation:

Use the net x value.

Answer:

Gravitational potential energy, kinetic energy and mechanical energy

Explanation:

The body is at a displacement to the gravity and therefore has energy stored in it as a result of its displacement against gravity. When this body is released the gravitational potential energy is converted to translational kinetic energy as well as rotational kinetic energy as it rolls down the the ramp. The sum of the kinetic energies and potential energy of the body amount to the mechanical energy of the ball down the ramp.

Answer:

Submarine canyons were most likely formed by erosion by major rivers in the past (option e)

Explanation:

A submarine canyon is a deep, relatively narrow, V-shaped depression whose bottom generally has a continuous slope. It can extend from the continental shelf to the great ocean depths.

Submarine canyons are habitats that appear interrupting the apparent homogeneity of the continental shelf. They play an important role in channeling organic matter. They transport sediments from the continental shelf to the deep ocean. Submarine canyons are usually found at the mouths of the rivers and are formed by the gigantic erosive power of the water that is slowly sculpting it from the continent, to the abysmal depths.

Submarine canyons were most likely formed by erosion by major rivers in the past (option e)

Answer:

The boat is 192 feet from the cliff.

Explanation:

Hi there!

Please see the attached figure for a graphical description of the problem.

Notice that the line of sight, the distance to the cliff and the height to the top of the lighthouse form a right triangle. Hence, we can apply trigonometric rules to find the distance from the boat to the cliff:

cos 20° = adjacent side / hypotenuse

sin 20° = opposite side / hypotenuse

The length of the opposite side is the height of the cliff plus the height of the lighthouse:

opposite side = 45 feet + 25 feet = 70 feet.

Using the equation of sin 20°, we can obtain the hypotneuse:

sin 20° = opposite side / hypotenuse

hypotenuse · sin 20° = opposite side

hypotenuse = opposite side / sin 20°

hypotenuse = 70 feet / sin 20°

hypotenuse = 205 feet

Now, using the equation of cos 20°, we can calculate the distance to the cliff (the length of the adjacent side):

cos 20° = adjacent side / hypotenuse

hypotenuse · cos 20° = adjacent side

205 feet · cos 20° = adjacent side

adjacent side = 192 feet  (without rounding intermediate results)

The boat is 192 feet from the cliff.

Answer:

192 ft.

Explanation:

Tan (20) = Opp/Adj

Tan (20) = (45+25)/x

Tan (20) =  70/x

then x=70/Tan (20)

x= 192.3234 ft, and then rounded to the nearest foot...

x= 192 ft

Answer:

b.The ultimate source of energy in the biosphere is the sun.

Explanation:

Answer: D.Large amounts of energy are lost in the transfer between trophic levels.

Explanation:

Answer:

[tex]I=38.181\ A[/tex] is the current through the body of the man.

[tex]E=34.5\ J[/tex] energy dissipated.

Explanation:

Given:

Now, from the Ohm's law we have:

[tex]I=\frac{V}{R}[/tex]

[tex]I=\frac{21000}{550}[/tex]

[tex]I=38.181\ A[/tex] is the current through the body of the man.

Energy dissipated in the body:

[tex]E=I^2.R.t[/tex]

[tex]E=38.181^2\times 550\times 43\times 10^{-6}[/tex]

[tex]E=34.5\ J[/tex]

When the entire container is accelerated upward, the block does not ascend nor descend in the liquid.

The answer to the question is (C) The block does not ascend nor descend in the liquid.

When the entire container is accelerated upward, the liquid and the block inside it will experience the same acceleration. Since the block is partially submerged, both the liquid and the block will move together without any relative change in their positions. The buoyant force on the block remains the same, and the block does not ascend nor descend in the liquid.

Answer:

We can explain it in term of center of mass and torque. When the sprinters start their race then the ground exerts the force towards the center of mass and thats how the torque can be prevented from acting on the sprinter.In this way the crouched position allows them to accelerate quickly without tipping over backward.

Explanation:

Answer: Radiation

Explanation:

The heat transfer process that is important in the transfer of energy from the Sun to Earth is Radiation.

Radiation is one of the mode of heat transfer which transfer energy/heat from one medium to another without any intervening medium. For example, heat from the sun reaches the earth through radiation. The sun hits the earth directly without any medium between the sun itself and the earth.

Radiation is the key heat transfer process by which energy is transferred from the Sun to Earth. It allows the transmission of energy through the vacuum of space and is integral to Earth's climate regulation, especially with respect to the natural greenhouse effect.

The process of heat transfer that is important in the transfer of energy from the Sun to Earth is radiation. Unlike conduction and convection, radiation does not require a medium to transfer heat. This means that energy in the form of electromagnetic waves can travel through the vacuum of space from the Sun to the Earth. The Sun emits a tremendous amount of energy through nuclear reactions at its core, and this energy is transferred to Earth as electromagnetic radiation, primarily in the form of visible light and infrared radiation. When this radiation reaches Earth, it is absorbed and warms the planet's surface, playing a crucial role in Earth's climate and enabling life to exist.

The greenhouse effect also plays an important role in Earth's temperature regulation. Gases in Earth's atmosphere, such as carbon dioxide and water vapor, trap some of the heat that is radiated from the Earth's surface, keeping the planet warmer than it would be otherwise. Without this natural greenhouse effect, Earth's average temperature would be significantly lower, making it less hospitable for life as we know it.

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Answer:

3.33 x 10⁻⁵ T

Explanation:

given,

current carried by two parallel wire = 25 A

distance between two wire = 13 cm

1) Let p be the distance between two wire

         p = 13 cm = 0.13 m

         a = 10 cm = 0.1 m

         b = 6 cm = 0.06 m

 using cosine law

 [tex]p^2 = a^2 + b^2- 2ab cos\theta[/tex]

 [tex]cos\theta =\dfrac{a^2+b^2}{2ab}[/tex]

 [tex]\theta =cos^{-1}(\dfrac{0.1^2+0.06^2}{2\times 0.1 \times 0.06})[/tex]

       θ = 105.96°

       θ = 106°(approximately)

now, magnetic field on one wire

[tex]B_1 = \dfrac{\mu_oI}{2\pi r}[/tex]

[tex]B_1 = \dfrac{4\pi \times 10^{-7}\times 25}{2\pi (0.1)}[/tex]

      B₁ = 5 x 10⁻⁵ T

now, magnetic field on another wire

[tex]B_2= \dfrac{\mu_oI}{2\pi r}[/tex]

[tex]B_2 = \dfrac{4\pi \times 10^{-7}\times 25}{2\pi (0.06)}[/tex]

      B₂ = 8.33 x 10⁻⁵ T

resultant field,

= [tex]\sqrt{B_1^2+B_2^2 - 2 B_1B_2 cos \theta}[/tex]

= [tex]\sqrt{(5\times 10^{-5})^2+(8.33\times 10^{-5})^2 - 2\times 5 \times 10^{-5}\times 8.33 \times 10^{-5} cos 106^0}[/tex]

= 3.33 x 10⁻⁵ T

1) The magnitude of the magnetic field vector at the given point is; -3.195 * 10⁻⁵ T

2) The direction of the magnetic field vector at the given point is;  129.71° from the x-axis

We will start with finding the direction of the field for each wire from the tangent to the circle around the wire.

For their magnitudes, we have;

B₁ = (µ₀/4π) * 2I₁/L₁

B₁ = (4π * 10⁻⁷/4π) * 2 * 25/0.1

B₁ = 5 * 10⁻⁵ T

B₂ = (µ₀/4π) * 2I₂/L₂

B₂ = (4π * 10⁻⁷/4π) * 2 * 25/0.06

B₂ = 8.33 * 10⁻⁵ T

If we draw a vector diagram, we will have;

B = B₁(-sin θ₁ i + cos θ₁ j) + B₂(-sin θ₂ i + cos θ₂ j)

B = (5 * 10⁻⁵ )(-sin 26.34 i + cos 26.34 j) + (8.33 * 10⁻⁵)(-sin 47.7 i + cos 47.7 j)

B = -(8.38 * 10⁻⁵) i + (10.09 * 10⁻⁵) j

Direction of the field is;

θ = tan⁻¹((10.09 * 10⁻⁵)/-(8.38 * 10⁻⁵)

θ = 129.71° from the x-axis

Thus, magnitude is;

B_mag = B₁ * cos 129.71°

B_mag = -3.195 * 10⁻⁵ T

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Answer:

A.

Explanation:

A PERT chart is a project management tool that provides a graphical representation of a project's timeline. The Program Evaluation Review Technique (PERT) breaks down the individual tasks of a project for analysis. But PERT charts are considered preferable to Gantt charts because they identify task dependencies, but they're often more difficult to interpret.

Answer:

cars moving at a constant speed on a circular race track.

Explanation:

The rotation of stars in the disk of milky way is more like that of cars moving at a constant speed on a circular race track.

That is all stars are rotating at fixed point in a fixed orbit , such that no two stars are crossing each other. Speed of all stars are different from each other but all stars are rotating at a constant speed.

Answer:

1422.8 m

Explanation:

Given:

Displacement of the truck is, [tex]\vec S=1430\ m[/tex]

The direction of the truck's displacement is 5.76° with the horizontal.

A vector inclined at angle [tex]\theta[/tex] with the horizontal is resolved into 2 components which are mutually perpendicular to each other. One of the component is along the horizontal and the other is along the vertical.

If a vector 'A' is inclined at an angle [tex]\theta[/tex] with the horizontal, then its horizontal and vertical components are given as:

[tex]Horizontal:\\A_x=A\cos \theta\\\\Vertical:\\A_y=A\cos \theta[/tex]

Here, the vector is 'S' and its horizontal component is needed.

Therefore, the horizontal component is given as:

[tex]S_x=S\cos \theta\\S_x=1430\times \cos(5.76\°)\\S_x=1422.8\ m[/tex]

Answer:

The mechanical energy of the helicopter is [tex]1.12\times 10^7\ J[/tex].

Explanation:

It is given that,

Mass of the helicopter, m = 3250 kg

Speed of the helicopter, v = 56.9 m/s

Position of the helicopter, h = 185 m

The energy possessed by an object due to its motion is called its kinetic energy. It is given by :

[tex]E=\dfrac{1}{2}mv^2[/tex]

[tex]E=\dfrac{1}{2}\times 3250\times (56.9)^2[/tex]  

[tex]E=5.26\times 10^6\ J[/tex]

The energy possessed by an object due to its position is called its potential energy. It is given by :

[tex]E=mgh[/tex]

[tex]E=3250\times 9.8\times 185[/tex]  

[tex]E=5.89\times 10^6\ J[/tex]

The sum of kinetic and potential energy is called mechanical energy of the system. It is given by :

[tex]M=5.26\times 10^6+5.89\times 10^6[/tex]

[tex]M=11.15\times 10^6\ J[/tex]

or

[tex]M=1.12\times 10^7\ J[/tex]

So, the mechanical energy of the helicopter is [tex]1.12\times 10^7\ J[/tex]. Hence, this is the required solution.

Answer:

(a). The eye's near point is 68.98 cm from the eye.

(b). The eye's far point is 33.33 cm from the eye.

Explanation:

Given that,

Power = 2.55 D

Object distance = 25 cm for near point

Object distance = ∞ for far point

Suppose where is the far point of an eye for which a contact lens with a power of -3.00 D  is prescribed for distant vision?

(a) We need to calculate the focal length

Using formula of power

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

Put the value into the formula

[tex]f=\dfrac{100}{2.55}[/tex]

[tex]f=39.21\ cm[/tex]

We need to calculate the image distance

Using formula of lens

[tex]\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}[/tex]

Put the value into the formula

[tex]\dfrac{1}{39.21}=\dfrac{1}{v}-\dfrac{1}{-25}[/tex]

[tex]\dfrac{1}{39.21}-\dfrac{1}{25}=\dfrac{1}{v}[/tex]

[tex]\dfrac{1}{v}=-\dfrac{1421}{98025}[/tex]

[tex]v=-68.98\ cm[/tex]

The eye's near point is 68.98 cm from the eye.

(b). We need to calculate the focal length

Using formula of power

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

Put the value into the formula

[tex]f=-\dfrac{100}{3.00}[/tex]

[tex]f=-33.33\ cm[/tex]

We need to calculate the image distance

Using formula of lens

[tex]\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}[/tex]

Put the value into the formula

[tex]\dfrac{1}{-33.33}=\dfrac{1}{v}-\dfrac{1}{\infty}[/tex]

[tex]-\dfrac{1}{33.33}+\dfrac{1}{\infty}=\dfrac{1}{v}[/tex]

[tex]\dfrac{1}{v}=-\dfrac{1}{33.33}[/tex]

[tex]v=-33.33\ cm[/tex]

The eye's far point is 33.33 cm from the eye.

Hence, (a). The eye's near point is 68.98 cm from the eye.

(b). The eye's far point is 33.33 cm from the eye.

The near point for which a lens of +2.55 diopters is prescribed is 71 cm.

We have to obtain the focal length of the lens as follows;

f = 100/P

Where P is the power of the lens in diopters.

f = 100/2.55 = 39.2 cm

Now;

Given that;

1/f = -1/v + 1/u

f = focal length

v = image distance

u = object distance

1/v = 1/u - 1/f

u = Near point of the normal  eye

1/v = 1/25 - 1/39.2

v = 71 cm

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Answer: sensory, motor, associative

Explanation:

Answer:

b. Larger for atoms of high atomic number.

Explanation:

The atomic number  of a chemical element is the number of protons found in the nucleus of every atom of that element.

The electrical force between an inner electron and the nucleus of an atom is described by  the Coulomb law

[tex]Fe = \frac{kq_{1}q_{2} }{r^{2}}[/tex]

           where k: Coulomb constant

                       q1 and q2 are the electric charges that interact (in our case  electron and protons)

                       r: Distance between electron and each proton

Then, larger number of protons in the nucleus, more the electrical force will be.

The answer is:

b. Larger for atoms of high atomic number.

Answer:

b)1 :3

Explanation:

Lets that

The value of a positive charge = q

As we know that electric filed on a point charge given as

[tex]E=\dfrac{Kq}{r^2}[/tex]

Where ,K=Constant

q=Charge ,r=Distance

If the value of the charge gets tripled ,q'= 3 q

Then electric filed E'

[tex]E'=\dfrac{Kq'}{r^2}[/tex]

[tex]E'=\dfrac{3Kq}{r^2}[/tex]

E' = 3 E

Therefore we can say that

[tex]\dfrac{E}{E'}==\dfrac{1}{3}[/tex]

therefore the answer will be --

b)1 :3

When the magnitude of a positive charge is tripled, the ratio of the original value of the electric field to the new value at the same point becomes 1:3. This is because the electric field is directly proportional to the charge. Therefore, if the charge is tripled, the electric field also triples.

If the magnitude of a positive charge is tripled, what is the ratio of the original value of the electric field at a point to the new value of the electric field at that same point?

The electric field (E) created by a point charge (q) at a distance (r) is given by the equation:

[tex]E = k * q / r^2[/tex]

where k is the Coulomb constant. If the original charge is q and this creates an electric field E at distance r, then:

[tex]\text{Original Electric Field} (E_1) = k * q / r^2[/tex]

Now, if the charge is tripled, q becomes 3q. The new electric field (E2) is:

[tex]\text{New Electric Field} (E_2) = k * 3q / r^2[/tex]

Thus, the ratio of the original electric field (E1) to the new electric field (E2) is:

[tex]E_1 / E_2 = (k * q / r^2) / (k * 3q / r^2) = 1/3[/tex]