You drop a rock off the top of a 100m tall building. How long does it take to hit the ground?

Final answer:

The pear has a kinetic energy of 3.528 J just before it hits the ground, and it is traveling at a velocity of about 5.94 m/s at that moment.

Explanation:

To answer the two questions, we can use the principles of energy conservation and kinematics. When the pear falls, its gravitational potential energy is converted into kinetic energy.

1. Kinetic Energy of the Pear When it Reaches the Ground:: The gravitational potential energy (PE) of the pear at the height of 1.8 m is given by PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s2), and h is the height. For the pear with a mass of 0.2 kg, the potential energy is PE = 0.2 kg * 9.8 m/s2 * 1.8 m = 3.528 J. Assuming there is no energy loss, this potential energy is entirely converted to kinetic energy (KE) just before the pear hits the ground.

2. Velocity of the Pear When it Hits the Ground:: The formula for kinetic energy is KE = ½mv2, where m is the mass and v is the velocity. We can rearrange this to solve for v, giving us v = √(2KE/m). Substituting the values we have, the velocity is v = √(2*3.528 J / 0.2 kg) = √(35.28 m2/s2) = 5.94 m/s (approximately). Therefore, just before impact, the pear is moving at a velocity of about 5.94 m/s.

To solve this we must be knowing each and every concept related to   moment of inertia  and its calculations. Therefore, moment of inertia mean of an object can not be negative. A negative moment of inertia has no significance.

Moment of inertia, also known as angular mass and rotational inertia, is a number that determines the amount of torque necessary for a specific angular acceleration or even a quality of a body that opposes angular acceleration.

No. The inertia moment is defined as the product of mass, time, and distance to the rotational axis squared. The combination is always positive since mass has always been positive and the squares of any real integer is always positive.

Therefore, moment of inertia mean of an object can not be negative. A negative moment of inertia has no significance.

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In classical mechanics, it typically refers to a system or object that, under these conditions, displays aberrant behaviour or characteristics at conflict with classical mechanics.

Moment of inertia is a characteristic used in classical mechanics to measure an object's resistance to circular motion. It always has a positive value or zero, denoting how mass is distributed along a rotational axis.

However, the idea of a negative moment of inertia might occur in some complex mathematical situations or in specialised domains like quantum mechanics.

Thus, it usually denotes a system or item under these circumstances that exhibits anomalous behaviour or features that are at odds with classical mechanics.

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If a  giraffe trots 3.40 km due north , then 2.60 km due west, then the magnitude of the displacement would be 4.28 kilometers .

An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard. Displacement describes this shift in location .

As given in the problem if a giraffe trots 3.40 km due north, then 2.60 km due west , then we have to find out the magnitude of the displacement,

The magnitude of the displacement of the giraffe = √ ( 3.40² + 2.60² )

                                                                                   = 4.28

Thus , the magnitude of the displacement of the giraffe would be 4.28 kilometers .

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When you push a 1.90-kg book resting on a tabletop with a force of 2.10 N, the coefficient of static friction between the book and the tabletop is 0.11.  

A) When the book is resting on a tabletop and then is pushed with a force of 2.10 N, we have:

[tex] F - F_{\mu_{s}} = ma [/tex]   (1)

Where:

F: is the applied force = 2.10 N

[tex]F_{\mu_{s}}[/tex]: is the force due to the coefficient of static friction = [tex]\mu_{s}N[/tex]  

m: is the mass of the book = 1.90 kg

a: is the acceleration

N: is the normal force = mg

g: is the acceleration due to gravity = 9.81 m/s²

[tex] \mu_{s}[/tex]: is the coefficient of static friction =?

Since the book is at rest, the acceleration is zero, so equation (1) is:

[tex] F - F_{\mu_{s}} = 0 [/tex]    

[tex] F - \mu_{s}N = 0 [/tex]    

[tex] F - \mu_{s}mg = 0 [/tex]    

Solving the above equation for [tex]\mu_{s}[/tex] we have:

[tex] 2.10 N - \mu_{s}*1.90 kg*9.81 m/s^{2} = 0 [/tex]    

[tex] \mu_{s} = \frac{2.10 N}{1.90 kg*9.81 m/s^{2}} = 0.11 [/tex]

Therefore, the coefficient of static friction is 0.11.

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The baseball player's acceleration, considering the coefficient of kinetic friction and his mass, is roughly -4.5 m/s². The negative sign indicates a deceleration due to friction.

This is a problem involving Physics, specifically the concept of friction and acceleration. Here, we have a baseball player, with a mass of 55 kg, sliding into third base. The coefficient of kinetic friction between the player and the ground is stated to be 0.46. We'll use these values to calculate the player's acceleration.

The equation representing the force due to friction (Ff) is μmg, where μ is the coefficient of friction, m is mass and g is gravity (9.8 m/s²). Here, we insert the given values and find Ff to be approximately 247.34 N. Since Ff = ma (force is mass times acceleration), we can find the acceleration by rearranging to a = Ff/m. Inserting our values, we find the acceleration to be approximately -4.5 m/s².

The negative sign denotes that this is a deceleration force, as expected since the friction slows down the player.

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If you notice that two waves combine and a part of the resulting wave has less light intensity than either of the individual waves, you're observing destructive interference.

For D) you just take the number if g 145 and the acceleration of gravity 9.80665. You should of got 145 × 9.80665 = 14.5 ---

Answer:

Comparative investigations provide large amounts of information and use a wide range of variables. However, they may reveal relationships that do not always indicate cause and effect.

Explanation:

i took the test

Answer:

The ionosphere is a layer of the atmosphere located inside the Thermosphere.

Explanation:

Ionosphere: It is an upper layer present in the atmosphere,which has different ionized layers through which electricity is conducted. It is present within the thermosphere.

The ionosphere has three layers:

1.F layer

2.E layer

3.D layer

In regards to basic motion, the total energy is simply the sum of potential energy and kinetic energy. Potential energy is dependent with position.

Going up:

Potential energy increases, Kinetic energy decreases, Total energy is constant

Going down:

Potential energy decreases, Kinetic energy increases, Total energy is constant

It's actually 175 J for the answered you got from ingenuity so i hope this helps

Answer:

inverse

Explanation:

The correct statement is that various professionals like doctors and programmers often engage in entrepreneurship in the U.S., contributing to a diverse and innovative economy. Entrepreneurs are essential to developing new technologies and services, enhancing competition, and driving wealth creation within the free enterprise system.

The correct statement about entrepreneurs in the U.S. is that many professionals, such as doctors, hairdressers, and programmers, work as entrepreneurs in their own businesses. These individuals utilize their skills and expertise to start and manage their ventures, contributing to a dynamic and diverse economy.

Entrepreneurs are not just limited to starting new ventures; they are also pivotal in introducing innovative technologies and improvements that enhance productivity and efficiency within various industries. They are often motivated by the potential for monetary success and the opportunity to introduce superior products or services to the market. Competition resulting from entrepreneurial endeavors can lead to better quality products at lower prices for consumers.

In the U.S. free enterprise system, entrepreneurs enjoy individual freedom to develop their ideas, which leads to a varied marketplace with responsive pricing and investment opportunities. This fosters the creation of wealth not only for the entrepreneurs themselves but also for the broader economy through job creation and tax revenues.

The final temperature of the horseshoe-water system can be found by setting the equation of heat lost by the horseshoe equal to the equation of heat gained by the water and solving for the common final temperature.

To solve this problem, we need to use the principle of conservation of energy, which states that total energy before and after the heat transfer should be equal. So, the heat lost by the horseshoe should equal the heat gained by the water.
Heat lost by the horseshoe = mass * specific heat * change in temperature = 1540g * 0.4494 J/g°C * (1445 - x)°C = 1540(0.4494)(1445 - x) J, where 'x' is the final temperature.

Since the water absorbs 947000 J from the horseshoe, this value is the heat gained by the water = mass * specific heat * change in temperature = 4280g * 4.184 J/g°C * (x - 23.1)°C = 4280(4.184)(x - 23.1) J

By setting the two equations above equal to each other (since the heat lost by the horseshoe equals the heat gained by the water), we find: 1540(0.4494)(1445 - x) = 4280(4.184)(x - 23.1)

Solving this equation will give us the final temperature 'x' for the horseshoe-water system after mixing.

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First let us calculate the time required for the stone to drop, say t1.

We use the formula:

h = vi t1 + 0.5 g t1^2

where h is height, vi is initial velocity = 0

h = 4.9 t1^2

Then the time required for the sound to go up, say t2:

h = 313 t2 – 4.9 t2^2

The two heights are equal so equate:

4.9 t1^2 = 313 t2 – 4.9 t2^2

We know that:

t1 + t2 = 4.26

so,

t1 = t2 – 4.26

Therefore:

4.9 (t2 – 4.26)^2 + 4.9 t2^2 – 313 t2 = 0

4.9 (t2^2 – 8.52 t2 + 18.1476) + 4.9 t2^2 – 313 t2 = 0

4.9 t2^2 – 41.748 t2 + 88.92324 + 4.9 t2^2 – 313 t2 = 0

9.8 t2^2 – 354.748 t2 = -88.92324

t2^2 – 36.2 t2 = -9.0738

Completing the square:

(t2 – 18.1)^2 = -9.0738 + 327.61

t2 – 18.1 = ± 17.85

t2 = 0.25s, 35.95

t2 cannot be greater than 4.26 s, therefore correct one is:

t2 = 0.25 s

Therefore height of the well is:

h = 313 t2 – 4.9 t2^2

h = 313 * 0.25 – 4.9 * 0.25^2

h = 77.94 m = 78m

Final answer:

The depth of the well is approximately 91.164 m neglecting the time for sound to travel up the well, and approximately 364.656 m taking into account the time for sound to travel up.

Explanation:

To calculate the depth of the well, we can use the equation: height = (1/2) * g * t2, where g is the acceleration due to gravity and t is the time it takes for the sound to travel back. Since the sound takes 4.26s to return, the formula becomes: height = (1/2) * 9.8 * (4.26)2. Solving this equation gives us the depth of the well as approximately 91.164 m.

Taking into account the time for sound to travel up the well, we need to consider the time it takes for the sound to travel down and then up again. The total time for the sound to travel down and back up is twice the time for the sound to travel down. So, the formula becomes: height = (1/2) * 9.8 * (2 * 4.26)2. Solving this equation gives us the depth of the well as approximately 364.656 m.

The kinetic energy of a 500 kg car traveling at 10 m/s is calculated using the formula KE = 0.5 × m × v², resulting in 25,000 J, which corresponds to option B.

To calculate the kinetic energy (KE) of a car, we can use the formula KE = 0.5 × m × v², where 'm' is the mass of the car and 'v' is its velocity. In this case, the car has a mass (m) of 500 kg and a velocity (v) of 10 m/s (note that the unit m/s² is typically used for acceleration, but here it's clear that velocity is intended).

Substituting the given values into the equation, we get KE = 0.5 × 500 kg × (10 m/s)² = 0.5 × 500 × 100 = 25000 J. Therefore, the kinetic energy of the car is 25,000 joules (J), which corresponds to option B).

Answer:

i, ii, iii and iv

Explanation:

Lasers are optical devices used to produce beam of light by the stimulated emission of radiation. As a matter of fact, Laser is the short form for "Light amplification by stimulated emission of radiation". Lasers can be used in various applications such as;

i. laser printers

ii. fiber optic and free-space optical communication

iii. medical surgery and

iv. treatments of skin

v. barcode scanners

vi. hair removal from face, leg, arm and other areas

vii. optical disk drives e.g in CD players

In physics, the variable p predominantly represents linear momentum of a particle, defined as p = mv. It also stands for pressure (P) in thermodynamics and the density of charge (rho) in contexts involving electricity and magnetism. Additionally, it signifies a constant pressure condition when measuring specific heat.

The variable p in physics stands for several concepts depending on the context in which it's used. Primarily, p denotes linear momentum of a particle, defined by the equation p = mv, where m is the mass of the particle, and v is its velocity. The choice of the letter p for momentum is historically attributed to the Latin word "impetus." In the realm of thermodynamics and statistical physics, P represents pressure, an intensive variable indicating the force per unit area applied in a direction perpendicular to the surface of an object. Notably, in the context of relativity, the term p also refers to a component of the four-momentum, indicative of how the total energy and momentum of a particle remain constant across different frames of reference.

Another important distinction is the use of p (rho) to represent the density of charge, expressed in coulombs per cubic meter. Additionally, in thermodynamics, the subscript p is used to denote processes that occur at constant pressure, particularly in the method used for measuring the specific heat of solids and liquids. Understanding the application of p in these different contexts requires acknowledgment of the diversity and depth within the field of physics, highlighting its role as a fundamental variable across various domains.

Final answer:

Swamps are notably different from marshes due to the dominance of trees and shrubs in their ecosystem. (Option D)

Explanation:

Swamps differ from marshes in that swamps are dominated by trees and shrubs. While marshes are typically characterized by their grass and rush-dominated vegetation, swamps distinguish themselves with a more wooded environment. This means that a swamp's ecosystem typically revolves around a dense canopy formed by trees and shrubs, providing a unique ecological habitat.

Furthermore, this habitat often boasts slow water flow, just like marshes, yet it features a different array of plant and animal life thanks to the domination of woody plants. This distinction in vegetation composition between swamps and marshes contributes to the diverse ecological niches and biodiversity within these wetland ecosystems, reflecting the adaptability of flora and fauna to their specific habitat structures.

Answer:  There are many possible elements, and they are all in the same vertical column as bromine

Explanation: All the elements in the same vertical columns or same groups have similar chemical properties due to the presence of similar valence shell configurations but have different masses as the number of protons and neutrons keep on increasing on moving down the group.

All the halogens (members of fluorine group) are short of one electron each to attain their stable noble gas configuration and hence behave similarly.

[tex][X]:ns^2np^5[/tex]

The elements present in the same horizontal row or same period differ in the chemical properties as they have different valence shell configurations.

The option which best describes the student's opinion is that

there are many possible elements, and they are all in the same

vertical column as bromine.

A group in the periodic table is the vertical section which

contains elements of the same number of valence electrons and

similar chemical properties.

Bromine for example belong to group 17 which contains other

elements such as:

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The graph representing a dog's displacement tied to a rope moving in a circle would be a sinusoidal wave, which fluctuates between a minimum and a maximum distance based on the dog's position in the circle. This pattern repeats each time the dog completes a full circle. The graph assumes a constant speed of the dog.

The distance over time graph of a dog tied to a 4-foot rope traveling in a complete circle would essentially be a sinusoidal wave that repeats its pattern in the time it takes the dog to complete one circle. The reason for this wave-like pattern is that the dog's distance from a given point (like the post the rope is tied to) increases then decreases in a regular pattern as it moves in a circle.

Consider the initiation point to be when the dog is closest to the post. As the dog moves in its circle, the distance increases achieving maximum when it is farthest from the point. Then, as it continues to move, the distance decreases until it comes back to the starting point. This creates a cycle which repeats for each complete circle the dog travels, creating a sinusoidal pattern.

It's important to note that this expected graph assumes a constant speed of the dog. If the dog alters its pace then the shape of the graph would also vary correspondingly.

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Answer:

This is a chemical property

Explanation:

On EDG