An

egg with a mass of 0. 052 kg is thrown against a wall with a velocity of 30 m/s. The egg is smashed against the wall, stopping it. What is the

impulse the wall provided?

Potential energy of the boulder = 1000 N x 9.8 m/s^2 x 5 m = 49,000 Joules

Potential energy = mass x gravity x height

Kinetic energy = 1/2 x mass x velocity^2

As the boulder falls, it gains kinetic energy and loses potential energy, so the kinetic energy at impact is equal to the potential energy at the top of the ledge.

Kinetic energy at impact = 49,000 Joules

Velocity at impact can be found using the equation:

Velocity = √(2 x kinetic energy / mass)

Velocity at impact = √(2 x 49,000 J / 1000 N) = √98 m/s = 9.9 m/s

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This statement is false; if an emergency vehicle is using its lights or siren on the other side of a divided highway you need to pull over and stop.

No, a barrier or median separates the two lanes of the road. On a divided roadway, an emergency vehicle could occasionally go the opposite way. If : if an emergency vehicle is using its lights or siren on the other side of a divided highway you need to slow down your vehicle, cede the right of way, and drive carefully.

Any public or private road or other public path on land is referred to as a highway. It encompasses various public roads and public tracks in addition to being utilized for major routes.

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Both the conductors will have the same charge. When they touched mutually the charge flowed from higher potential to lower potential

According to the property of charge, it always flows from high potential to lower potential. In the same as water flows in a river, the charge also flows in the same manner. And if two water bodies have been linked mutually both have the level of the water as same as others have.

Similarly, the charged body also behaves in the same manner at the end both bodies will have the same charge. The case of capacitor is different with certain conditions in the orientation of body.

Let charged conductor a have q charge and conductor b has w charge After touching mutually they both will have (q+w)/Total capacitance of each and both, the conductors will have  (q+w)/Total capacitance  Charge.

and the total charge of both bodies will be q+w.

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An objects mass if it has a force of 8N acting upon a radius of 10m and traveling at 80

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Answer:

The momentum of an object is equal to its mass multiplied by its velocity. So, even though a bug typically has much less mass than an airplane, if it is moving at a high velocity its momentum will be greater than the airplane at rest.

This is because momentum is a measure of an object's "inertia," or its resistance to changes in motion. An object with a high velocity has a greater tendency to keep moving in the same direction, whereas an object at rest has no velocity and therefore no tendency to move.

So, even though the airplane has a much greater mass than the bug, the bug's high velocity gives it a greater momentum.

When society gets the most it can from its scarce resources, the outcome is called is efficiency option - b is correct answer.

We live in a world where human needs are limitless, but there is a finite amount of land, labor, and capital available to meet those needs. When deciding how to distribute scarce resources, choices must be made due to the conflict between society's limitless wants and our finite resources.

Efficiency means that society makes the most of its limited resources. Equity refers to the equitable distribution of the advantages of those resources among all of society's participants.

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The 70th percentile of distribution of stopping distances is 130.4 feet.

Standard deviation is a measure of how dispersed the data is in relation to mean.

Given that tests showed new tread pattern enables the cars to stop completely in an average distance of 125 feet with standard deviation of 6.5 feet,

As, Z is (x - mean) / standard deviation

Where x is 70th percentile and mean and standard deviation are provided

So, x = mean + Z * standard deviation

The Z-score for the 70th percentile is 0.84, and is found using a table of standard normal distribution

So, x = 125 + 0.84 * 6.5

x = 130.4 feet

Therefore,  70th percentile of the distribution of stopping distances is 130.4 feet.

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(A)The minimum length for the rearview mirror if the driver is to be able to see the entire width and height of the rear window in the mirror without moving her head is 167 cm.

To calculate the minimum length for the rearview mirror, we need to consider the Pythagorean theorem. The rearview mirror is 1.57m from the rear window and 0.59m from the driver's eyes. To form a right triangle, we can use these two measurements as the legs of the triangle, and the hypotenuse (the minimum length of the rearview mirror) is the square root of the sum of the squares of these two legs. Therefore, the minimum length of the rearview mirror is: √ (1.57^2 + 0.59^2) = √ (2.4449 + 0.3481) = √ (2.793) = approximately 1.67m = 167 cm

(B) The minimum height for the rearview mirror if the driver is to be able to see the entire width and height of the rear window in the mirror without moving her head is 24.15 cm.

To calculate the minimum height for the rearview mirror, we need to consider the width of the rear window (2.0m) and the distance between the rear window and the rearview mirror (1.57m). The minimum height of the rearview mirror is the tangent of the angle formed by these two measurements. Therefore, the minimum height of the rearview mirror is:(0.38/1.57) = 0.2415 = 24.15 cm

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It is known as earthing or grounding when a charged object is connected to the earth with a conducting wire so that the charge from the object flows to the earth and the object becomes electrically neutral.

Any positive or negative charge that was previously present on a charged conductor flows to Earth when it is connected to ground, neutralizing it completely and reducing any electrical potential it previously had to zero.

A grounded conductor has the ground's potential, which is thought to be zero. It does not, however, imply that the charge on this conductor will also be zero.

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If there is no uncertainty in the Speedometer then the car's highest possible speed, in kilometers per hour is same as the speedometer reads 95 km/h.

A speedometer, often known as a speed meter, is a gauge that calculates and shows the current speed of a moving object.  Speedometer began to be offered as choices in the early 20th century and became standard equipment starting around 1910 for vehicles to get their speed. Today, they are fitted to all motor vehicles.

Vehicles today have speedometers that measure speed in kilometers per hour. They also have odometers, which track the overall distance driven by cars in kilometers (km).

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When a person 2.1 m tall stands 0.91 m from a reflecting globe in a garden. part a if the diameter of the globe is 16 cm, The Image distance (v) -3.09 m is the image of the person, relative to the surface of the globe.

The distance between the object and the thin lines istermed as the image distance. The image distance is the separation between the picture and the narrow lens. A feature of a narrow lens is its focal length, which specifies the distance at which parallel rays come into focus.

Given:

Height of man 2.4M

distance from globe of man =0.91m

diameter of globe =16cm; then r=8cm=0.08m

Now with above info the focal length of globe will be

f=r/2

f=0.08/2

f=0.04m

Now to find the image distance use following lens equation

1/f=1/u*1/v

1/0.04=1/0.91+1/v

Solving above we get

v=-3.09 m

hence, the distance of image will be -3.09 m relative to the surface of the globe

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The acceleration of the object would be found to stay the same.

Let us note that the acceleration would have to do with the rate at which the velocity of the object would change with time. In the case that we have here, we can see that there is a point where the net force is the same as we can see on the graph.

We know that it is a change in the net force that is acting on the object that would cause the object to be accelerated as such if the net force stays as a constant then the acceleration of the object would also stay the same.

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It is not safe to leave the car between the blue signal and the clearance point on track 2 as it obstructs the view of the blue signal.

Leaving a car between the blue signal and the clearance point on track 2 will obstruct the view of the blue signal, which is not a safe practice. The blue signal indicates that there is a train or another obstruction on the track, and it is there to protect the safety of the train crew and the passengers. Obstructing the view of the signal can lead to collisions or other dangerous situations. It is important to follow the proper procedures and ensure that all signals are clear before leaving a car on a track. It is recommended to look for a safer location to leave the car, one that does not obstruct the view of signals or clearance points.

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(a) The original size of the footprint made by each tire in August is 16 in².

(b) The footprint or pressure increases with increase in the number of tires.

The footprint made by each tire is calculated by applying the following equation as shown below.

A = ( 1920 lbs ) / ( 30 lbs/in² )

A = 64 in²

The above result is for the four tires, the footprint for a tire is calculated as follows;

4 tires =  64 in²

1 tire = 64 in² / 4 = 16 in²

Ideal gas law equation is given as; PV = nRT

where;

In this case the number of tires of tires stand for number of moles of the ideal gas, and the pressure of the gas increases with increase in the number of moles. Thus, the footprint or pressure increases with increase in the number of tires.

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The gradient of the graph represents Angela's speed.

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Based on the graph you made for the superposition of the two waves, you can see that the pattern repeats regularly and returns to the equilibrium position, which indicates that it is a simple harmonic oscillation.

The shape of the graph is not a simple sine or cosine curve, but the regular repetition of the pattern is the key indicator that it is a simple harmonic oscillation.

Simple harmonic oscillation is a type of periodic motion in which an object moves back and forth, following an approximately sinusoidal path. This type of motion is often observed in systems such as springs, pendulums and other mechanical systems. It is characterized by a specific frequency and amplitude, which are related to the mass, spring constant and damping coefficient of the system.

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The backward finite difference method for estimating the derivative at x=0.5 is:

(f(0.5) - f(0.25)) / (0.5 - 0.25) = (-0.14 - (-0.4025)) / (0.5 - 0.25) = 0.2625 / 0.25 = 10.5

The percent error between this estimate and the true value is:

|(10.5 - (-0.9125)) / (-0.9125)| * 100% = |11.4125 / (-0.9125)| * 100% = 12.48%

The forward finite difference method for estimating the derivative at x=0.5 is:

(f(0.75) - f(0.5)) / (0.75 - 0.5) = (-0.6275 - (-0.14)) / (0.75 - 0.5) = -0.4875 / 0.25 = -1.95

The percent error between this estimate and the true value is:

|(-1.95 - (-0.9125)) / (-0.9125)| * 100% = |-1.0375 / (-0.9125)| * 100% = 1.14%

The centred finite difference method for estimating the derivative at x=0.5 is:

(f(0.75) - f(0.25)) / (0.75 - 0.25) = (-0.6275 - (-0.4025)) / (0.75 - 0.25) = -0.225 / 0.5 = -0.45

The percent error between this estimate and the true value is:

|(-0.45 - (-0.9125)) / (-0.9125)| * 100% = |0.4625 / (-0.9125)| * 100% = 0.51%

To get the same percent error as the centred finite difference, we would have to use a step size of ∆ = 0.125.

This is because a smaller step size means a smaller difference between the estimates and the true value, and therefore a smaller percent error.

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The timing of the protest in Letter From Birmingham Jail continued to change because the leaders of the Civil Rights Movement did not want to interfere with the mayoral election that was taking place at the time.

They believed that by staging their protest during the election, they would be seen as trying to influence the outcome and would be viewed as partisan rather than non-partisan. Additionally, they felt that it would be more effective to wait until after the election to hold their protest, as it would be less likely to be dismissed as politically motivated. By not interfering with the mayoral election, the leaders of the Civil Rights Movement were able to maintain their credibility and ensure that their message would be heard more clearly by the public.

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"According to current scientific thinking, the solar system that contains earth formed by solar nebula."

Our Solar system formed from solar nebula.

The solar system was once a concentration of gas and materials like dust that was formed a big swirling disk of gaseous cloud called Solar nebula.

The core of the Solar nebula was so concentrated and dense that is created large body of hydrogen and helium gas called the Sun.

The solar nebula's Sun served as its centre, and other planets developed around it from gases and dust.

Thus, according to current scientific thinking, the solar system that contains earth formed by solar nebula.

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a) The lifting power of an electromagnet is proportional to the current and the number of revolutions.

To calculate the current necessary to create a lifting force of 300 N, use the proportion:

(current) / (2000 turns) = (300 N) / (100 N)

When you solve for current, you get:

current = (2000 turns) * (300 N) / (100 N) = 6 A

b) The percentage may be used to calculate the number of spins necessary to create a lifting force of 600 N:

(2000 turns) * (2.5 A) = (number of turns) * (2.5 A)

If you solve for the number of turns, you get:

2000 turns = (2000 turns) * (2.5 A) / (2.5 A).

The current is already 2.5 A, and no matter how many revolutions it has, it cannot raise any more than 100N. To lift 600N, you have to increase the current.

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"hypothermia is an excessive decline in a body temperature" - True.

Extreme cold exposure can result in severe complications including frostbite and hypothermia (an unusually low body temperature).

The body temperature must be above 35°C to avoid hypothermia. This can happen after a protracted period of being exposed to temperatures below 10°C or after a protracted period of being submerged in water that is below 20°C. Hypothermia may prevent a person from realising that they need to get help.

Hypothermia is characterised by shivering, shaky hands, and/or reduced mobility. Speak incoherently. Unexpected low energy or weariness. unexpected perplexity (unable to think clearly).

Thus, the given statement is true.

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The number of revolutions per second that the electron makes is equal to the frequency, or 1.22 x [tex]10^{14}[/tex] revolutions per second.

The number of revolutions per second that an electron makes in a circular orbit around a stationary proton in a simple model of the hydrogen atom can be calculated using the formula

v = (2πr)/T, where v is the velocity of the electron, r is the radius of the orbit, and T is the period of the orbit. Using this formula and the given radius (0.053nm), we can calculate the velocity of the electron to be 2.45 x [tex]10^{6}[/tex] m/s.

Since the period of a circular orbit is equal to one over the frequency, we can calculate the frequency of the electron's orbit to be 1.22 x [tex]10^{14}[/tex] Hz.

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Answer sunlight, water and carbon dioxide

Explanation:

Plants absorb sunlight, water and carbon dioxide for photosynthesis, using solar energy to split the water molecule into hydrogen and oxygen and power a chemical reaction that assimilates carbon dioxide, producing carbohydrates used to fuel the plants' survival.

The moment of inertia of the three-mass system about the new axis is:4.96 kg m2.

Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is the sum of the products of the mass of each particle in the object and the square of its distance from the axis of rotation. It is also known as the angular mass or rotational inertia. The moment of inertia depends on the shape, size, and mass distribution of the object. It is an important property in the study of rotational motion.

The moment of inertia of a system of three masses about a new rotation axis passing through x0 is calculated using the following equation:

I = m1*(d1^2) + m2*(d2^2) + m3*(d3^2)

where m1, m2 and m3 are the masses of the three masses and d1, d2 and d3 are the respective distances from x0.

In this case, m1 = 1 kg, m2 = 1 kg, m3 = 1 kg, d1 = 1.4 m, d2 = 2 m, and d3 = 2 m.

Therefore, the moment of inertia of the three-mass system about the new axis is:

I = 1*(1.4^2) + 1*(2^2) + 1*(2^2)

I = 4.96 kg m2

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174 nitrogen bases would be present in a polypeptide containing 57 amino acids.

3 nitrogenous bases are needed to code one amino acid. So 57 * 3 = 171 amino acids are needed to code 57 amino acids and three nitrogenous bases at the end will code for the stop codon that will stop the formation of the amino acid chain.

A chain containing around 20 or more amino acids that are joined to each other by peptide bonds is called polypeptide.

The building blocks of proteins are called amino acids.

A sequence of three nitrogenous bases that codes for a particular amino acid is called a codon.

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When an increase in kinetic energy (K.E.) takes place an object moves at its maximum speed or velocity. And also inner molecules of any object produces a lot of vibrational energy.

When the kinetic energy of an object increase, it means that the object is moving at a faster speed or has a greater velocity. This can happen in a few ways:

1. An external force is applied to the object, causing it to accelerate and increase its velocity. For example, if a car is pushed from a standstill, its kinetic energy will increase as it moves faster.

2. The object is free falling and it's velocity is increasing due to gravity. As the object falls, its kinetic energy increases as its velocity increases.

3. The object is moving in a circular path and it's velocity is increasing due to centripetal force, as the object's velocity increases its kinetic energy also increases.

4. An object can gain kinetic energy by the transfer of energy from another object, such as in a collision.

It is also important to note that an increase in kinetic energy also increases the potential of danger, as the object can cause more damage if it collides with something else at a higher velocity.

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The electrostatic force on such a 40-UC charge put at the origin reaches 27 newtons throughout magnitude.

Electrostatic force includes a combination of attracting and repulsive force created through electric charge particles. It can also be referred to as Columb's force. The Columb attraction might be called after French scientist Charles-Augustin de Coulomb. Electrostatic force, on the other hand, represents one of nature's four basic forces.

Dirt sticking to clothes as well as walls is an example of the effect of electrostatic forces upon fine particle adhesion. Electrostatic forces become relevant in general while particle material provides electrically insulating, allowing the electric charge to be retained.

Force on 40 uC by Q = k[tex]Q_{1} Q_{2}[/tex] / R^2

               = 9×10^9×40×10^-6×60×10^-6 / 2^2

               = 5.4 N ( positive x-direction)

Force on 40 uC by -60 uC = 9×10^9×40×10^-6×60×10^-6 / 1^2

                                            = 21.6 N (negative x-direction)

net force will be equal to the 5.4 + 21.6which will be equal to the  27 N

so net force on 40 uC at origin will be 27 N (to the right).

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The correct answer, number, 4) twice the frequency. When a wave travels from one medium to another, the wavelength doubles, but the frequency is unchanged. This means that the wave has twice the frequency in the second medium, compared to the first.

When a wave travels from one medium to another, the wavelength doubles, but the frequency remains unchanged. This means that the wave has twice the frequency in the second medium, compared to the first. For example, if a wave has a frequency of 10 Hz in the first medium, then it will have a frequency of 20 Hz in the second medium.

Complete question:

The wavelength of a wave doubles as it travels from medium A into medium B. Compared to the wave in medium A, the wave in medium B has:

(1) half the speed

(2) twice the speed

(3) half the frequency

(4) twice the frequency

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