A computer is reading data from a rotating cd-rom. at a point that is 0.0130 m from the center of the disk, the centripetal acceleration is 393 m/s2. what is the centripetal acceleration at a point that is 0.0884 m from the center of the disc?

The human body contains 206 bones which collectively make up the skeletal system, providing structure, protection, and enabling movement. Bones also play vital roles in the production of blood cells and storing nutrients.

There are 206 bones in the human body that work together to form the skeletal system. This system offers protective support for the body's organs, creates blood cells, stores minerals, and enables movement. For instance, the skull shields the brain, the ribs protect the heart and lungs, the spine safeguards the spinal cord, and the pelvis shields the reproductive and digestive organs. The skeletal system and muscular system are the reasons we can move.

Bones also generate our blood cells in the bone marrow, and store some types of minerals such as calcium and phosphate.

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Final answer:

Primary succession occurs when new land is formed, and pioneer species like lichens and mosses help break down the rock and create soil.

Explanation:

Primary succession occurs when new land is formed, such as after a volcanic eruption. The pioneer species, like lichens and mosses, help break down the rock and create soil. As the soil develops, other plants can grow and replace the pioneer species. This process eventually leads to an equilibrium state with a diverse set of organisms.

William Herschel discovered the planet Uranus, mapped the structure of the Milky Way, and was the first to detect infrared radiation, all of which were discoveries not made by Isaac Newton.

William Herschel made several significant discoveries that Isaac Newton did not, owing to the advancement of scientific knowledge and technology in Herschel's time. One of Herschel's most noteworthy achievements was the discovery of the planet Uranus in 1781. This discovery was the first identification of a new planet in the modern era and extended the known boundaries of our solar system at the time.

Furthermore, Herschel's contributions to astronomy also include the recognition of the Milky Way's structure. In 1785, using his custom-built large reflecting telescope, he conducted an extensive star count along with his sister Caroline. Through this, he mapped the shape of the Milky Way Galaxy, deducing that it has a disk-like structure with the sun near its central region. Prior to Herschel's observations, the full extent and shape of the galaxy were not understood.

Answer:

Average distance from Uranus to the sun, a = 2.88 billion km

Explanation:

It is given that,

Orbital period of Uranus, T = 84.07 years = 2.65 × 10⁹ s

We have to find the average distance from Uranus to the sun. It can be calculated using Kepler's third law as :

[tex]T^2\propto a^3[/tex]

or [tex]T^2=\dfrac{4\pi^2}{GM}a^3[/tex]

Where

T is orbital period

a is the average distance from Uranus to the sun

G is universal gravitational constant

M is mass of sun, [tex]m=1.98\times 10^{30}\ kg[/tex]

[tex]a^3=\dfrac{T^2GM}{4\pi^2}[/tex]

[tex]a^3=\dfrac{(2.65\times 10^9)^2\times 6.67\times 10^{-11}\times 1.98\times 10^{30}}{4\pi^2}[/tex]

[tex]a^3=2.34\times 10^{37}\ m[/tex]

[tex]a=2.86\times 10^{12}\ m[/tex]

a = 2.88 billion km

Hence, this is the required solution.

Final answer:

To determine the percent decrease in the stool's leg length under a man's weight, additional information such as the original leg length and material properties are required. Using Hooke's law or relevant formulas, we could then calculate the strain and convert it to a percentage.

Explanation:

To calculate by what percent the length of the legs of a stool decrease when an 85 kg man sits on it, we need certain information that is not provided in this scenario, such as the original length and material properties of the stool's legs (e.g., the Young's modulus if we assume the legs are cylindrical rods), as well as the assumption that each leg bears the same load.

Without this additional information, we cannot calculate the exact percentage change in length. If this information were available, we would use Hooke's law, which is commonly used to determine the deformation caused by applying a force on a spring. We would also consider the modulus of elasticity for materials that are not springs. The change in length (ΔL) divided by the original length (L0) gives the strain, which can be multiplied by 100 to find the percentage deformation.

The length of the stool's legs decreases by approximately 0.00083% when a 85 kg man sits on it.

Calculating Deformation of Stool Legs

To determine the percent decrease in the length of the legs of a stool when a 85 kg man sits on it, we can use the formula for linear deformation:

[tex]\Delta L = (F \times L) / (A \times Y)[/tex]

Where:

Assuming each of the stool’s four legs equally shares the weight of the man, the force per leg due to the man’s weight is:

[tex]F = (85 kg \times 9.81 m/s^2) / 4 = 208.42 N[/tex]

Let’s assume the original length (L) of the legs is 0.5 meters and the radius of the legs is 0.02 meters. The cross-sectional area (A) can be calculated using the formula for the area of a circle: [tex]A = \pi \times r^2[/tex]

Thus, the cross-sectional area is:

[tex]A = \pi \times (0.02 m)^2 = 1.2566 \times 10^{-3} m^2[/tex]

Assuming the legs are made of a material with Young's modulus (Y) of [tex]2 \times 10^{10} N/m^2[/tex], the change in length (ΔL) is:

[tex]\Delta L = (208.42 N \times 0.5 m) / (1.2566 \times 10^{-3} m^2 \times 2 \times 10^{10} N/m^2) = 4.15 \times 10^{-6} meters[/tex]

To find the percent decrease in length:

[tex]\text{Percent Decrease} = (\Delta L / L) \times 100 = (4.15 \times 10^{-6} m / 0.5 m) \times 100 = 0.00083\%[/tex]

Therefore, the length of the stool's legs decreases by approximately 0.00083% when the 85 kg man sits on it.

Transverse Waves: Displacement of the medium is perpendicular to the direction of propagation of the wave.

To understand this it is good to think of a rope being held still by person B and being moved up and down by person A. The direction of propagation is from person A to B, so you will see the waves move along this way. But the displacement will be up and down.

Can travel in solids, but not in liquids and gas.

Electromagnetic radiation

Transverse Waves: Displacement of the medium is perpendicular to the direction of propagation of the wave.

To understand this it is good to think of a rope being held still by person B and being moved up and down by person A. The direction of propagation is from person A to B, so you will see the waves move along this way. But the displacement will be up and down.

Can travel in solids, but not in liquids and gas.

eg. Electromagnetic radiation

Longitudinal Waves: Displacement of the medium is parallel to the direction of propagation of the wave.

A good example for this is a slinky being pushed along the table, the propagation will be along the table and so will the displacement of all the 'rings'.

Can travel through all states of matter.

Sound waves

Answer:

Explanation:

It’s a SESMOGRAPH

The statement is not correct because the velocity of the car in a free fall after 3 seconds is 29.4 m/s while the assumed velocity of the friend is 26.82 m/s.

The given information;

The velocity of an object under the influence of gravity;

v = u + gt

where;

g is acceleration due to gravity = 9.8 m/s²

Convert the given final velocity in mph to m/s;

[tex]v = 60 \ \frac{miles}{hour} \times \frac{1609.34 \ m}{1 \ mile} \times \frac{1 \ hour}{3600 \ s} = 26.82 \ m/s[/tex]

Determine if the assumed final velocity will be equal to actual velocity in 3 seconds after the motion.

v = 0 + (3 x 9.8)

v = 29.4 m/s

Thus, the statement is not correct because the velocity of the car in a free fall after 3 seconds is 29.4 m/s while the assumed velocity of the friend is 26.82 m/s.

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The correct answer is c

[tex]50^\circ[/tex] angle above the horizontal.

Step by Step Solution :

Given :

Launch speed = 11 m/sec

Height of the ceiling = 3.6 m

[tex]\rm g = 9.8\;m/sec^2[/tex]

Calculation :

Let [tex]\theta[/tex] be the launch angle, measured above the horizontal.

Vertical component of initial speed is

[tex]\rm v = 11sin\theta[/tex]

We know that

[tex]\rm v^2 - u^2=2as[/tex]

[tex]\rm 11^2 sin^2\theta - 2\times9.8\times 3.6 =0[/tex]

[tex]\rm sin\theta = 0.7636[/tex]

[tex]\rm \theta = sin^-^10.7636[/tex]

[tex]\theta = 49.8^\circ \approx 50^\circ[/tex]

[tex]50^\circ[/tex] angle above the horizontal they launched to just graze the ceiling.

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Your most reliable answer my friend would be 1. Wind 2. All of the above 3. The expense of large tracts of land in populated areas

I'm actually going ahead in the book (DC Circuits) so this isn't really homework but I figured the tag was appropriate....the name of the chapter is Ohm's Law and Watt's Law.

The next question is what I'm not sure about:

Question: What is the power in the circuit (a) above if the voltage is doubled? (Hint: Consider the effect on current).

What I did initially was: P = IV = (100mA)(2V) = 2 W

But then I looked at the answer and it said 4 W, then I looked at the Hint again. Then I remembered in the book early on it said "If the voltage increases across a resistor, current will increase."

So question is: When solving problems I have to increase (or decrease) current (I) every time voltage (V) is increased (decreased) in a problem, right? How about the other way around, when increasing current (I), you need to increase voltage (V). I'm pretty sure that's how they got 4 W, but want to make sure before I head to the next section of the book.

P = IV = (200mA)(2V) = 4 W

According to Ohm's law, if the voltage across a constant resistance is doubled, the current will also double. This relationship holds true as long as the resistance remains unchanged. The key concept here is the direct proportionality of voltage and current, as described by I = V/R.

According to Ohm's law, the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. The mathematical equation that describes this relationship is I = V/R.

When the voltage across a fixed resistance is doubled, Ohm's law dictates the relationship between voltage and current. If the voltage is increased two-fold while the resistance remains constant, the current will also double. This is because, in the equation I = V/R, if V is multiplied by two, and R remains the same, then I must also be multiplied by two.

Therefore, if a student is faced with the decision to either double the voltage or the resistance with the voltage remaining constant, the best choice to maintain the current flow would be to option (b) double the current, which aligns with Ohm's law. Doubling the resistance would actually halve the current based on the formula.

If the voltage across a circuit is increased four times, the current would also increase four times, assuming the resistance stays the same. Additionally, if the resistance of a circuit is halved, for a fixed amount of voltage such as the 110 V provided by an electric company, this means the current would double, leading to twice as much power dissipation.

Any activity or exercise that ranges in intensity from heavy-to-maximum exertion is vigorous activity.

Vigorous activities require the highest amount of oxygen consumption to complete the activity.

Exercise that is performed with a lot of effort, also known as vigorous exercise or high-intensity exercise, causes a markedly elevated heart rate and fast breathing. Exertion is regarded severe to extremely hard with this activity, making it challenging to speak in complete sentences. Activities like singles tennis, cycling, and running are typically categorized as vigorous.

Hence vigorous activity is any activity or exercise that ranges in intensity from heavy-to-maximum exertion. So, option (B) is correct.

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Energy is the capacity to do work or cause motion, existing as either potential energy, which is stored, or kinetic energy, which is the energy of motion. Potential energy can be elastic, gravitational, or chemical, while kinetic energy is directly involved in movement and changes in motion.

Energy is the capacity to do work or cause motion. It exists in various forms which can be generally categorized into potential energy and kinetic energy. The fundamental difference between these two is that potential energy is stored energy based on an object's position, condition, or composition, whereas kinetic energy is the energy of motion, the energy that an object possesses due to its movement.

In kinetic energy, an object is in motion, like a moving car. In potential energy, the energy is stored, like a stretched spring. For example, a ball thrown in the air has kinetic energy when moving upward and potential energy at the highest point of its trajectory.

Potential energy can be further differentiated into various types, such as elastic potential energy found in stretched or compressed springs and rubber bands, gravitational potential energy which is due to an object's position relative to Earth or another celestial body, and chemical potential energy which is stored in chemical bonds and released during chemical reactions.

Kinetic energy is expressed as [tex]KE = \frac{1}{2} mv^2[/tex], where 'm' stands for mass and 'v' for velocity. Examples of kinetic energy include the movement of machinery, electricity flow, wind, and water currents. It's the active form of energy, that is directly involved in causing changes and creating motion.

When an object's potential energy is converted into kinetic energy, it begins to move and work is done. This occurs without the creation or destruction of energy, adhering to the law of conservation of energy or the first law of thermodynamics.

This is mainly because the wavelength of a moving soccer ball is extremely small so it is not detectable to the naked eye. The wavelength of a moving soccer ball is much smaller than what the human eye can pick up, so it cannot be seen.

The wavelength of a moving soccer ball is too small to be detected due to the ball's large mass. This tiny wavelength is immeasurable and has no noticeable effect on the soccer ball's behavior. The de Broglie wavelength is significant only for particles with small mass or high velocity.

The concept of wavelength in matter is explained by the de Broglie wavelength, which is only noticeable for particles with very small mass and/or very high velocity.

Answer: They will have same density

Explanation:

Density is defined as the mass contained per unit volume.

[tex]Density=\frac{mass}{Volume}[/tex]

Density is characteristic of a compound and thus remains constant at fixed temperatures.

A small piece would have lesser amount and will occupy a smaller volume. Similarly a larger piece would have larger amount and will occupy a larger volume.

Thus the ratio of mass and volume will remain fixed or constant and the density will be same for smaller and larger piece.

Out of

I'd say 3. Oxidation.