The Law of Conservation of Energy states: Energy cannot be created or destroyed; it can be transformed fr
one form to another but the total amount of energy never changes. Car crashes can involve huge amounts
of energy. How does the crashworthiness of the car affect the transfer and transformations of energy and
ultimately, protect the occupants?

Answer:

Explanation:

period is 2pi / B which is 2pi/8 which is 1/4 pi

amplitude is a which is 10

Answer:

Below

Explanation:

17.4 inches = 441.96 mm      14.8 inches = 375.92 mm

volume = 441.96 X 375.92 X T  

                                   = 166141.6 T  mm^3  <===where T = thickness in mm

Volume X density = mass

 166141.6 T mm^3  * 2.7 gm/cm^3  * cm^3 / 1000mm^3  = 10.8 gm

     solve for T = .024 mm

Because the charges at rest are unable to produce a magnetic field, neither of the two stationary charges will do so.

There is no magnetic field created when a charge is stationary since there is no motion inside the charge. Thus, nothing except an electric field is created.

Charges that are at rest can also feel the electric force. Charges in motion can experience magnetic force. Therefore, the electric field must not be zero and the magnetic field may or may not be zero if a charged particle at rest experiences an electromagnetic force.

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The correct option is A, the Sun's path, as viewed from the equator, is highest in the sky on the spring and fall equinoxes.

Fall equinox is an astronomical event that marks the transition from summer to autumn in the Northern Hemisphere and from winter to spring in the Southern Hemisphere. On the day of the fall equinox, the sun rises directly in the east and sets directly in the west. This marks the end of the summer season and the beginning of the autumn season. During the fall equinox, all areas of the Earth experience nearly the same amount of daylight and darkness.  

The fall equinox occurs in the middle of September in the Northern Hemisphere and in the middle of March in the Southern Hemisphere. It is the first day of autumn and the last day of summer in the Northern Hemisphere and the first day of spring and the last day of winter in the Southern Hemisphere.

The fall equinox marks the return of balance after the summer solstice, during which the days are the longest and the nights are the shortest. During the fall equinox, the day and night are of equal length and the sun is directly over the equator. After the fall equinox, the days become gradually shorter and the nights become gradually longer.

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The value of moment of Inertia of the solid cylinder will be 0.19 kg/m^2

Any item that can be rotated has the property of rotational inertia. It is a scalar value that indicates how challenging it is to alter an object's rotational velocity around a certain rotational axis. The role of mass in linear mechanics is analogous to that of rotational inertia in rotational mechanics.

The formula I = 1/2 [M (R_2^2 + R_1^2)] may be used to calculate the moment of inertia of a hollow cylinder revolving along an axis passing through the centre of the cylinder. The cylinder in this instance will have a mass of M and internal and exterior radii R1 and R2, respectively.

The cylinder's moment of inertia about its axis is (MR^2)/2.

Where, M - mass of object, R = radius of the cylinder.

After putting all the values. we will get,

[tex]=\frac{27 \mathrm{~kg} \cdot(0.24 \mathrm{~m} / 2)^2}{2} \approx 0.19 \mathrm{~kg} \cdot \mathrm{m}^2[/tex]

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As Projectile range is independent of mass, so They all will have same range.

When an object is close to Earth's surface, its gravitational attraction is calculated using the formula F = mg, where m is the object's mass and g is a constant whose value varies depending on the location. On the surface of the earth, it averages 9.81 meters per second. And when one moves away from the surface in either an inner or an outward direction, this value drops.

Although the strength of the earth's gravitational pull changes depending on the mass of the object, the acceleration caused by it is constant (of course close to the surface). Consequently, when two items of different masses are dropped from the same height, they hit the ground simultaneously (neglect air resistance).

Any motion of a projectile simply consists of vertical and horizontal motion. Regardless of the direction the projectile is going in, gravity controls vertical motion since it only acts in that direction. Additionally, the acceleration caused by gravity is not reliant on the mass of the item. Therefore, the mass has no bearing on the vertical motion.

A projectile moves horizontally in a very straightforward manner. A projectile is not affected by horizontal forces. As a result, its horizontal velocity does not change. Additionally, the range is influenced by horizontal velocity and flying time. Flight time is influenced by vertical motion.

We now know that mass has no bearing on flying duration or range. And if you run into a projectile motion problem, simply divide the problem into horizontal and vertical motions. And handle it the same way you would a single-direction motion. greatly simplifies matters.

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The minimum amplitude of the resultant pulse is 10 cm.

The amplitude of a pulse is the maximum height of the waveform measured from the baseline, also known as the peak-to-peak amplitude. In the case of two pulses, A and B, the minimum amplitude of the resultant pulse is determined by the vector sum of the individual amplitudes of the two pulses.

When two pulses are in phase, the resultant pulse amplitude is the sum of the individual amplitudes, which in this case is 20 cm + 10 cm = 30 cm.

However, if the two pulses are out of phase, the minimum amplitude of the resultant pulse is determined by the difference between the amplitudes of the two pulses. In this case, the minimum amplitude of the resultant pulse would be |20 cm - 10 cm| = 10 cm.

So, the minimum amplitude of the resultant pulse is 10 cm.

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Both the features of waves and particles can be seen in light.only photons and particles only photons and particles, only waves.

Both a wave as well as a particle description of light are possible.The dual character of light has been highlighted in particular by two investigations.When we consider that light is composed of tiny particles, we refer to those particles as "photons."

The following is the image for 'photons & particles combining waves and particles'.While electromagnetic radiation behaves both like a wave and a particle at the same time, it propagates according to linear wave equations and can only be released or absorbed in discrete pieces.

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"Effort multiplied by an arm equals burden multiplied by an arm," The various loads on the proportionally shorter load arm can be moved by the effort arm.

A lever is a straightforward device with a solid beam and a fulcrum. The effort (input force) and load (output force) are applied to the beam's ends. The pivot of the beam is thought to be the fulcrum.

Levers are devices that increase force, to put it simply. Because they merely have the handle and the fulcrum, we refer to them as "basic machines." The "arm" of the lever is the handle or bar; it is the portion that you push against or pull towards.

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On gas-loaded accumulators, safety devices like relief valves, burst discs, and temperature fuse plugs are all used as  precautionary measures to maintain the efficiency​.

Accumulators are pressurized containers that can hold fluid. When a system needs a boost in power, this stored energy can be used, recharged, and then used again. The right precautions should be taken to keep pressure and temperatures under control because this stored energy can be hazardous.

On accumulators, a number of modest but crucial accessories can be placed to stop the release of this stored energy and guarantee that temperatures stay within their safe operating range.

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Answer:

  d.  600 J

Explanation:

You want to know the work done to lift a box using a lever with a mechanical advantage of 2, if the work required without the lever is 600 J.

A lever trades force for distance. That is raising the box a distance of 6 m requires moving the lever arm a distance of 12 m, but only half the force is required. The product of force and distance is the same.

The total required work is unchanged: 600 J.

__

Additional comment

Actually, more work is required to lift the box using the lever. There is work applied to the box, and there is more work applied to moving the lever. (We have to assume a massless lever with no friction in these problems.)

The torque of a lever is equal to the perpendicular force multiplied by the length of the lever arm, which is the distance from the fulcrum of the lever.

The formula for torque is rF=rFsin(r). Torque is, in other words, the cross product of the distance vector (the distance between the pivot point and the point at which force is applied) and the force vector, where the angle 'a' between r and F is.

The SI unit for torque is the Newton-metre, or kgm2sec-2. Taking into account the formula Torque = Force X Distance While distance and force are measured in meters and newtons, respectively, torque is measured in newton-meters.

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Solar and wind are renewable resource types.

A renewable resource is an energy source that comes from nature. This is renewable and unlimited. It can be created by utilizing increasingly sophisticated technological developments so that it can become an alternative energy source.

Apart from solar and wind power, renewable energy can also be obtained from hydropower, geothermal, biomass, solar power, wind power, sea heat, waves, and tidal.

Some of the benefits of renewable resources are:

• Minimizing the effects of global warming

• Unlimited energy sources

• Save resources as well as expenses

• In several countries it can create jobs and opportunities

• Easier and cheaper maintenance

• Some technologies are easy to implement in remote areas.

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To find the average speed of the cyclist, we need to divide the distance traveled by the time it took to travel that distance. So we would divide 100 meters by 40 seconds, which gives us 2.5 meters per second. This is the average speed of the cyclist.

Answer:

The Average Speed is 2.5metres per second

Explanation:

Using Distance,Time,Speed Triangle,

[tex]S = \frac{D}{T}[/tex]

[tex]S = \frac{100}{40}\\[/tex]

[tex]S = 2.5[/tex]

Hence ,  the average speed is 2.5m/s

The height of the hill can be calculated using the formula PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the hill. So, solving for h, we get h = PE/mg = 1000 J/ (60.0 kg*9.8 m/s2) = 10.2 m.

Therefore, the height of the hill is 10.2 m.  The potential energy of an object is the energy it possesses due to its position or state. As the object moves, its potential energy can be converted into kinetic energy, or the energy it has due to its motion. In this case, the rollerblader is on top of the hill, so it has potential energy due to the height of the hill.  

The formula for potential energy is PE = mgh, which means that the potential energy is equal to the mass multiplied by the acceleration due to gravity multiplied by the height. In this case, the mass is known to be 60.0 kg, and the potential energy is known to be 1000 J. By using the formula and substituting in the known values, the height of the hill can be calculated.

The height of the hill is determined to be 10.2 m, which is relatively small. This means that the hill is not too steep, and the rollerblader would not have to use a lot of energy to go down it.

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The same projectile needs the power to accelerate from rest to a launch speed of 2v at a time of 219.6 W.

power P = work/time

= ½mv² / t

P' = ½m(2v)²/t

= 4 * ½mv² / t

= 4 * P

so

P' = 4 * 54.9W

= 219.6 W  (or 220 W rounded off)

As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.

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A 1.5 x 103 kg car's momentum is equal to 4.5 x 104 kg m/s east if it moves at a speed of 30 m/s for 60 seconds while traveling straight east.

Momentum is a property of an object or system that describes its tendency to move or stay in motion. It is equal to the product of the mass of the object and its velocity. Momentum is conserved, meaning that the total momentum of an isolated system remains constant, regardless of any changes or interactions within the system. Momentum is an important concept in classical mechanics, and is directly related to forces, energy, and angular momentum. Momentum is an essential factor for describing the behavior of objects in motion.

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Answer:

9000 Joules

Explanation:

Potential energy = mass x acceleration due to gravity x height

mass = 20kg

acceleration due to gravity = 10m/s2

height = 45 meters

20 x 10 x 45 = 9000 Joules

The size of smallest object that a detect wing is 22°C bat can echolocation when air temperature is 31 mm.

Bat need to use because as high frequencies for echolocation compared to lower frequencies, higher. frequencies gives them more regarding size of the object in speed and frequency the prey direction of its waver are not early detailed information their path, range, pray. Also high detected by the prey.

For care the Jame of bat, dolphin frequency as explained in alio  high radiation. Thus despite poor visibility under water, dolphin can high frequency and avoid to catch its wave it Predator. we there to find its path and to catch its prey and also to avoid its peredetor.

Bat sounds are emitted only during wing upbeat to minimize physiological costs. Air pressure in calls is just below blood pressure in lungs physiological maximum. FM is best for determining target distance Measure time delay between pulse and echo return FM sweep labels each part of pulse with a frequency value.

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he JM will heighten (exaggerate) lower limb tendon reflexes by countering some of the normal descending inhibition the brain sends to the reflex arc.

A medical technique called the Jendrassik manoeuvre involves the patient clenching their teeth, flexing both sets of fingers into a hook-like shape, and interlocking those sets of fingers. The patellar reflex is then induced by striking the tendon below the patient's knee with a reflex hammer.

When the technique is not being used, the reflex outcome of the same movement is compared to the induced reaction. When a patient is focused on the technique, a bigger reflex reaction is frequently seen: "Afferent activity brought on by such muscle tension may activate a weak or seemingly absent reflex.

This is the actual justification for the procedure, not that it is intended to divert the patient's attention, a common misperception that persists to this day." This result

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With the use of wave speed and echo formula, the distance is 540 m

Echo can simply be defined as a reflection of sound wave. Where as, Sound wave is longitudinal wave.

Given that a naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120 kHz and a wavelength of 3 mm.

The wave speed V = Fλ

Where

V = 120000 × 0.003

V = 360 m/s

How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m. and returns to hit the ship's sensor 3 seconds later?

Speed V = 2S/t

where

360 = (2 × S)/3

360 × 3 = 2S

S = 1080/2

S = 540 m

Therefore, the cargo is 540 m away

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Answer:

it gives off 71.0 kJ of heat.

Explanation:

By using the formulae, λ = h/mv, The De Broglie wavelength of the muon is calculated to be 4.13 × 10^10 m, as according to the given data in the question.

The shortest measured time is 100 attoseconds. A quadrillionth of a minute is a femtosecond. One quadrillionth of a minute is a picosecond. One quadrillionth of a second is a nanosecond.

Particles are smaller than just a nanometer. Depending on the element, an atom is between 0.1 and 0.3 nm in size. Atoms on the a surface in a SEM image.

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A polarizing filter can be beneficial for a photographer when taking outdoor pictures because it can reduce glare and reflections from surfaces such as water and glass.

it can also enhance colors, darken blue skies, and reduce the amount of light entering the lens, allowing for more even exposure. This can be especially useful in situations where the sun is very bright and can create harsh shadows and overexposed highlights. The polarizing filter can also reduce the amount of haze in the atmosphere, which can improve the overall clarity of the image. These effects can help a photographer capture more vivid and detailed images, making them stand out from the crowd.

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"At a yellow light, after checking to the rear, stop before entering the intersection or at the stop bar." If stopping safely is not possible, cautiously cross the junction.

Devices that are typically located at significant sites, such as busy junctions, are used to give out traffic signals in order to control the flow of traffic.

A yellow traffic light serves as a warning that the red signal will soon be shown. As a result, as soon as you notice a yellow light, you should begin to slow down in preparation for a red light. Additionally, if for some reason you are unable to stop, you should keep an eye out for any vehicles that may be approaching the intersection at the same moment.

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The weight of the book and your lifting power will be the only two forces operating, assuming that air resistance is minimal (gravity).

The book's displacement was x=(2.3-0.75)m=+1.55m.

The book weighs W= m(-g)= 2.0 kg(-10N/kg)= 20 N.

Therefore, the weight's work (energy delivered by the weight) is equal to W.x (-20N).

(+1.55m) = -31 Nm =-31 J.

This outcome, -31J, demonstrates that the weight caused the rising book to lose 31J of kinetic energy, increasing the gravitational potential energy of the book.

You lifted the book, which gave it kinetic energy from the chemical energy stored in your muscles. The weight is thereby decreasing the kinetic energy of the book while the lifting force from you increases it.

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Answer:

Weight of a 35kg object on Earth is 350N, while it is 56N on the Moon.

Explanation:

The conversion of mass (kg) to weight (N) on Earth is 1kg to 10N.
Thus, the weight of a 35kg mass on Earth is
35kg × 10 = 350N

On the Moon, conversion of mass to weight is 1kg to 1.6N.
Thus, the weight of a 35kg mass on the Moon is
35kg × 1.6 = 56N

Remember, mass remains constant regardless of location, while weight depends on the strength of the gravitational field.

The spring constant with given length that stretches upto certain length and has specified mass has a spring constant that is calculated to be 147 N/m.

Given that,

Initial length of the spring = 0.400 m

Final length of the spring = 0.450 m

Change in length, Δx = 0.450 m - 0.400 m = 0.050 m

Mass of the hung object = 0.750 kg

Weight of the hung object, w = 0.750 × 9.8 N = 7.35 N

From Hooke's law it is said that, mathematically

Spring constant = Weight of the hung object/ change in length

Putting in the above given values into the equation, we have,

Spring constant = 7.35/0.050 = 147 N/m

The required spring constant is calculated to be 147 N/m.

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Index fossils are fossils that are used to help determine the relative age of rock layers and sedimentary strata. They are typically small, widely distributed organisms that lived for a relatively short period of time and are characteristic of a specific geological period. Index fossils are useful because they can help geologists and paleontologists to determine the relative age of rock formations and to understand the Earth's geological history.

It is unlikely that humans would be useful as index fossils in the future, as the time period during which humans have existed on Earth is relatively short compared to the age of the Earth as a whole. In addition, humans are not small, widely distributed organisms like many of the commonly used index fossils. Instead, humans are large, highly adapted organisms that have a wide range of habitats and are found on most of the continents.

However, it is possible that artifacts or other remains associated with human activity could be used as index fossils in the future. For example, the presence of certain types of tools or other materials might be used to help determine the relative age of a site or to understand the environmental conditions and human activity in a particular region at a specific point in time.

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Acceleration increase down a ramp, due to an object is free to move under the influence of gravity. That's why acceleration increases.

Acceleration is a measure of how quickly an object's velocity changes. On a ramp, an object is free to move under the influence of gravity. The gravitational force acting on an object is always directed downward, and the force of friction acting on an object is directed upward. The force acting on an object moving down a ramp is the force of gravity minus the force of friction. Since the force of gravity is greater than the force of friction, the net force acting on the object is directed downward, which causes the object to accelerate downward. The angle of the ramp affects the force of friction, as the greater the angle of the ramp, the greater the force of friction, and the less the net force acting on the object and less acceleration. Therefore, acceleration increases down a ramp because the net force acting on an object is directed downward and the angle of the ramp affects the force of friction.

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