An odd-shaped object rotates at a speed of 10. 0 rev/s. A small 25 g

mass with moment of inertia I=1. 5x10-6 kg∙m2 is dropped onto the

object at a distance of 4. 5 cm from its center of mass. The odd-shaped

object slows to a speed of 9. 0 rev/s. What is the moment of inertia of

the odd-shaped object?

Velocity of the satellite that is orbiting earth is 83.45m/s, which makes the velocity of the rivet relative before striking also 83.45m/s and the time duration of collision is 4.53× 10⁻⁵ s. The avg force that is exerted by the rivet on the satellite is 9.27N and the energy that is generated by the collision is 1.63J.

a) Velocity of the satellite in an orbit 900 km above Earth's surface can be calculated as follows: Formula: `v = sqrt(GM/r)` Where,v = velocity, M = Mass of Earth, r = radius of the orbit (r = R + h)R = radius of the Earth = 6.37 × 10⁶ mh = height above Earth's surface = 900 km = 9 × 10⁵ mG = 6.67 × 10⁻¹¹ N m²/kg²By substituting the given values, we getv = sqrt((6.67 × 10⁻¹¹ × 5.97 × 10²⁴)/(6.37 × 10⁶ + 9 × 10⁵))= sqrt(6.965 × 10³) = 83.45 m/s.

Therefore, the velocity of the satellite in an orbit 900 km above Earth's surface is 83.45 m/s.

b) Velocity of the rivet relative to the satellite just before striking it can be calculated as follows: Velocity of the rivet, `v_rivet = v_satellite * sin(θ)`Where, v_satellite = 83.45 m/sθ = 90°By substituting the given values, we getv_rivet = 83.45 * sin 90°= 83.45 m/s.

Therefore, the velocity of the rivet relative to the satellite just before striking it is 83.45 m/s.

c) The time duration of collision, `Δt` can be calculated as follows:Δt = (2 * r_rivet)/v_rivet, Where,r_rivet = radius of the rivet = 3/2 × 10⁻³ m. By substituting the given values, we getΔt = (2 * 3/2 × 10⁻³)/83.45= 4.53 × 10⁻⁵ s.

Therefore, the time duration of collision is 4.53 × 10⁻⁵ s.

d) The average force exerted by the rivet on the satellite, `F` can be calculated as follows: F = m_rivet * Δv/ΔtWhere,m_rivet = mass of the rivet = 0.5 g = 0.5 × 10⁻³ kgΔv = change in velocity of the rivet = 83.45 m/sΔt = time duration of collision = 4.53 × 10⁻⁵ sBy substituting the given values, we get F = (0.5 × 10⁻³ * 83.45)/4.53 × 10⁻⁵= 9.27 N.

Therefore, the average force exerted by the rivet on the satellite is 9.27 N.

e) The energy generated by the collision, `E` can be calculated as follows: E = (1/2) * m_rivet * Δv²Where,m_rivet = mass of the rivet = 0.5 g = 0.5 × 10⁻³ kgΔv = change in velocity of the rivet = 83.45 m/s. By substituting the given values, we getE = (1/2) * 0.5 × 10⁻³ * 83.45²= 1.63 J.

Therefore, the energy generated by the collision is 1.63 J.

Learn more about satellites:
https://brainly.com/question/13017835

#SPJ11

In 1820, Hans Christian Orsted discovered the relationship between electricity and magnetism, which is now known as electromagnetism.

The mass of the second box car from the calculation is  22317 Kg.

We have to note that we can be able to obtain the momentum as the product of the mass and the velocity of the object that is to be studied. In the case of the cars that we have here;

The momentum before Collison = Momentum after collision

We would then have from the question;

(10300 * 19) + (M * 0) = (10300 + M) * 6

Let the mass of the second box car be M

Then;

195700 = 61800 + 6M

M = 22317 Kg

Learn more about momentum:https://brainly.com/question/24030570

#SPJ1

Newton's first law of motion:

Newton's first law of motion states that a body in motion tends to remain in motion at a constant velocity unless acted on by a net external force.

Hence, the correct option is (B)

Answer:

The plane would need to travel at least \(8,\!580\; {\rm ft}\) (\(8.58 \times 10^{3}\; {\rm ft}\).)

The \(10,\!000\; {\rm ft}\) runway should be sufficient.

Explanation:

Convert unit of the the take-off velocity of this plane to \(\rm ft\cdot s^{-1}\):

\(\begin{aligned}v &= 180\; {\rm mph} \\ &= 180\; {\rm mi \cdot hrs^{-1}} \times \frac{1\; {\rm hrs}}{3600\; {\rm s}} \times \frac{5280\; {\rm ft}}{1\; {\rm mi}} \\ &= 264\; {\rm ft \cdot s^{-1}}\end{aligned}\).

Initial velocity of the plane: \(u = 0\; {\rm ft \cdot s^{-1}}\).

Take-off velocity of the plane \(v =264\; {\rm ft\cdot s^{-1}}\).

Let \(x\) denote the distance that the plane travelled along the runway. Since acceleration is constant but unknown, make use of the SUVAT equation \(x = ((u + v) / 2) \, t\).

Notice that this equation does not require the value of acceleration. Rather, this equation make use of the fact that the distance travelled (under constant acceleration) is equal to duration \(t\) times average velocity \((u + v) / 2\).

The distance that the plane need to cover would be:

\(\begin{aligned}x &= \left(\frac{u + v}{2}\right)\, t \\ &= \frac{0\; {\rm ft \cdot s^{-1}} + 264\; {\rm ft \cdot s^{-1}}}{2} \times 65.0\; {\rm s} \\ &= 8.58\times 10^{3}\; {\rm ft}\end{aligned}\).

Answer:

An open system.

Explanation:

An isolated system allows the exchange of neither energy nor matter with the surroundings. A closed system allows the exchange of energy, but not matter. An open system allows the exchange of both energy and matter.

Notice that in this question, light (electromagnetic wave) is a form of energy. The entry and exit of light allows this system to exchange energy with its surroundings- just as how the earth receives energy from the sun. Additionally, this system could exchange energy with its surroundings through the exchange of matter (in particular, air) with its surroundings.

Thus, the system in this question is an open system.

The best way to describe sound levels is through a ratio scale.

The decibel scale, which measures sound levels, is best described as a ratio scale. While the decibel scale is logarithmic, it can be transformed into a linear ratio scale by using a reference point. By selecting a reference point as the softest sound the human ear can hear unaided (0 dB), we establish a meaningful zero point on the scale. Any sound level above this reference point can be expressed as a positive value, indicating its magnitude relative to the softest audible sound. The logarithmic nature of the decibel scale still holds, with each increase of 10 dB representing a tenfold increase in sound intensity. However, by anchoring the scale to a fixed reference point, we can now quantify and compare sound levels in a meaningful way, making it a ratio scale.

Learn more about ratio scale:

brainly.com/question/31315229

#SPJ11

1 and 3 tie, then 2 and 4 tie, then 5 (zero) is according to the magnitudes of their angular momentum about point O.

A property known as angular momentum describes the rotating inertia of an object or system of objects when they are moving about an axis that may or may not pass through them. The Earth has spin angular momentum from its daily rotation around its axis and orbital angular momentum from its yearly revolution around the Sun. Since angular momentum is a vector quantity, its full representation calls for the identification of both a magnitude and a direction. An orbiting object's angular momentum is proportional to its linear momentum, which is calculated by multiplying its mass m by its linear velocity v, by the perpendicular distance r from the center of rotation.

To know more about angular momentum visit : https://brainly.com/question/15104254

#SPJ4

International space station is the mission of NASA. It has launched 134 successful space missions.

International space station is a huge place in the space but in the close orbit with all possible facilities for astronauts , scientists and others

The National Aeronautics and Space Administration (NASA) is an acronym for the National Aeronautics as well as Space Administration. NASA was established as a division of the United States government on October 1, 1958. NASA is just in charge of all research and technology related to aviation and space in the United States.

To know more about NASA and  International space station.

https://brainly.com/question/13033832

#SPJ2

Given that a particle moves along the x-axis so that its acceleration at any time t0 is given by a(t) = 12t - 4, At time t = 1, the velocity of the particle is v(1) = 7, and its position is x(1) = 4.

To find the velocity and position of the particle, we need to integrate the acceleration, a(t), and then solve the resulting equations for the constants of integration.

To solve for C, we use the fact that v(1) = 7:v(1) = 6(1)^2 - 4(1) + Cv(1)

= 2 + C

Thus, C is 5. Now, we can write the velocity of the particle as:

v(t) = 6t^2 - 4t + 5

To find the position of the particle, we integrate the velocity.

v(t) = dx(t)/dt ⇒ dx(t)

= v(t)dt∫dx(t)

= ∫v(t)dtx(t)

= ∫(6t^2 - 4t + 5)dt

X(t) = 2t^3 - 2t^2 + 5t + K

where K is the constant of integration. To solve for K, we use the fact that

x(1) = 4:X(1)

= 2(1)^3 - 2(1)^2 + 5(1) + KX(1)

= 5 + K

Thus, K = -1.

Now, we can write the position of the particle as:

X(t) = 2t^3 - 2t^2 + 5t - 1

Hence, the velocity of the particle is v(t) = 6t2 - 4t + 5, and the position of the particle is X(t) = 2t3 - 2t2 + 5t - 1.

To know more about acceleration, visit:

https://brainly.com/question/12550364

#SPJ11

This question involves the concept of Colomb's Law and electrostatic force.

The electrostatic force will be "0.2 N".

According to Colomb's Law, every charge exerts an electrostatic force on the other charge, which is directly proportional to the product of the magnitudes of both the charges and inversely proportional to the square of the distance between them.

\(F=\frac{kq_1q_2}{r^2}\)

where,

In case of +2 C charges:

Therefore,

\(0.1\ N = \frac{(9\ x\ 10^9\ N.m^2/C^2)(2\ C)(2\ C)}{r^2}\\\\r^2=\frac{(9\ x\ 10^9\ N.m^2/C^2)(2\ C)(2\ C)}{0.1\ N}\\\\r^2=3.6\ x\ 10^{11}\ m^2\)

Now, for the second case:

Therefore,

\(F=\frac{(9\ x\ 10^9\ N.m^2/C^2)(2\ C)(4\ C)}{3.6\ x\ 10^{11}\ m^2}\)

F = 0.2 N

Learn more about Colomb's Law here:

https://brainly.com/question/9774180

Physical and chemical qualities are present in all matter.

Physical qualities, such as mass, color, and volume, are characteristics that may be measured by scientists without modifying the makeup of the sample being studied (the amount of space occupied by a sample).

Chemical characteristics, such as flammability and susceptibility to corrosion, define a substance's distinctive capacity to reacted to generate new substances. A pure substance's chemical and physical properties are the same in all samples.

Extensive or intensive physical properties are both possible. The substance's extensive attributes, such as mass, weight, and size, change with the amount present.

Therefore, Physical and chemical qualities are present in all matter.

To learn more about Physical property, refer to the link:

https://brainly.com/question/18327661

#SPJ1

Answer:

Explanation:

Seismograph is an instrument that measures and records details of earthquakes

How does it work???

The instrument is simply a vibrating rod, or a pendulum, which

starts vibrating when tremors occur. A pen is attached to the vibrating system.

The pen records the seismic waves on a paper which moves under it. By studying

these waves, scientists can construct a complete map of the earthquake

Answer:

Length of Orbit

Explanation:

The surface temperatures decreases with increasing distance from the sun. Venus is an exception because its dense atmosphere acts as a greenhouse and heats the surface to above the melting point of lead, about 880 degrees Fahrenheit (471 degrees Celsius).

Hopefully this helps!

Answer:

D.Erroneous Perceptions or thoughts

Answer:

D. erroneous perceptions or thoughts

Explanation:

why not

About 1,360 watts per square meter

At Earth's average distance from the Sun (about 150 million kilometers), the average intensity of solar energy reaching the top of the atmosphere directly facing the Sun is about 1,360 watts per square meter, according to measurements made by the most recent NASA satellite missions.

The angular acceleration is 0.01533rad/s.

We are given that,

Radius = r = 27.0cm

Speed = v = 11.2 m/s

Time = t = 24.0 s

Therefore , We shall first find the linear acceleration before calculating the angular acceleration from one of the linear motion kinematics equations and the initial velocity u will be 0.

v = u + at

a = v/t

a = (11.2m/s)/(27.0×10⁻²m)

a = 0.414 ×10⁻²m/s²

Now , calculating the angular acceleration,

a = α × r

α = a/r

α =  (0.414 ×10⁻²m/s²)/(27.0×10⁻²m)

α = 0.01533rad/s

To know more about angular acceleration

https://brainly.com/question/13824288

#SPJ4

Answer:

All the gravitational energy is converted mostly to the kinetic energy of the debris of the asteroid as they scatter everywhere. Also, some of it is converted to the sound energy of the impact that will be heard and heat energy.

We have that the  gravitational potential energy  effect on the system is mathematically given as

Option C

From the question we are told

Due to reduce in top of Y, doable strength will limit and due to amplify in peak of X, achievable power will increase.

Now, PE = mgh.

Generally the equation for the Velocity of centre of mass  is mathematically given as

\(V =\frac{ m1v1 + m2v2}{ m1 + m2}\\\\Therefore \\\\V =\frac{ (m1 - m2) v}{ m1 + m2}\)

Hence, V is positive as m1 > m2

Therefore

The conclusion

The gravitational potential energy decreases because the center of mass of Object X and Object Y moves downward.

Option C

For more information on gravitation visit

https://brainly.com/question/16517842

Objects X and Y are connected by a string of negligible mass and suspended vertically over a pulley of negligible mass, creating an Atwood’s machine, as shown in the figure.

The objects are initially at rest, and the mass of Object Y is greater than the mass of Object X. As Object Y falls, how does the gravitational potential energy of the Object Y-Object Y-Earth system change? All frictional forces are considered to be negligible.

a

The gravitational potential energy increases because the center of mass of Object X and Object Y moves upward.

b

The gravitational potential energy increases because the center of mass of Object X and Object Y moves downward.

c

The gravitational potential energy decreases because the center of mass of Object X and Object Y moves downward.

d

The gravitational potential energy decreases because the center of mass of Object X and Object Y moves upward.

Answer:

a = 4 m/s²

Explanation:

Given: 5000 g, 20N  

To find: Acceleration (a)  

Solution: Firstly, convert 5000g to kilograms

1000g = 1kg

∴ 5000g = 5kg if divided by 1000

A = F ÷ m

=  20 ÷  5  

= 4 m/s²

Newtons are derived units, equal to 1 kg-m/s². In other words, a single Newton is equal to the force needed to accelerate one kilogram one meter per second squared.

Uneven bombardment on different sides by water molecules.

Therefore, option C is correct.

Learn more about pollen grains:

https://brainly.com/question/16051661

#SPJ9

The electric flux through a circular area of radius 1.43 in the x-y plane can be determined using Gauss's law and the concept of electric field lines.

Gauss's law states that the electric flux through a closed surface is equal to the charge enclosed divided by the permittivity of free space (ε₀). In this case, we have a circular area in the x-y plane, and we want to find the electric flux through it.

To calculate the electric flux, we need to consider the electric field passing through the circular area. Since the area lies in the x-y plane, the electric field is likely perpendicular to the surface and uniform in magnitude.

If we assume the circular area contains a positive charge, the electric field lines would radiate outward from the center of the circle. The electric flux would then be proportional to the number of electric field lines passing through the circular area. The magnitude of the electric flux would depend on the total electric field passing through the area.

To determine the exact value of the electric flux, we would need more information about the charge distribution and the electric field. However, we can conclude that the electric flux through the circular area of radius 1.43 in the x-y plane would be related to the magnitude of the electric field passing through it and the total charge enclosed by the circular area.

Learn more about electric flux here:

https://brainly.com/question/33167286

#SPJ11

Therefore, the velocity of the ball just before it hits the ground is approximately 22.1 m/s. Therefore, the closest value to this option is 21.0 m/s.

When a ball of mass 0.25 kg falls from a height of 50 m, we can calculate its velocity using the principle of conservation of energy. According to this principle, the sum of the potential and kinetic energy of an object remains constant.

Therefore, we can equate the potential energy at the initial height to the kinetic energy at the final velocity.Let's calculate the potential energy of the ball at the initial height

:Eg = mghEg = 0.25 kg × 9.81 m/s² × 50 m

Eg = 122.625 J

This is the energy that the ball has due to its position. As it falls, this energy is transformed into kinetic energy. At the moment the ball reaches the ground, all the potential energy has been transformed into kinetic energy

.Ek = 1/2mv²Ek = Egv² = 2Ek/mv = √(2Ek/m)

Let's plug in the values we obtained:Eg = 122.625 Jm = 0.25 kgv = √(2Ek/m)

We obtain:v = √(2 × 122.625 J / 0.25 kg)v = √(245.25 J/kg)v = 22.116 m/s

For such more question on kinetic energy

https://brainly.com/question/8101588

#SPJ8

The numerical value of the current in the solenoid is approximately 2.88 mA. To find the current in the solenoid, we will use the formula you provided: I = B * L / (μ₀ * N). Here, B is the magnetic field, L is the length of the solenoid, N is the number of turns, and μ₀ is the permeability of free space, which is approximately 4π x 10⁻⁷ T·m/A.

Given the values:
B = 1.9 x 10⁻¹ T
L = 0.25 m (converted from 25 cm)
N = 6500 turns
μ₀ = 4π x 10⁻⁷ T·m/A

Plugging these values into the formula:
I = (1.9 x 10⁻¹ T) * (0.25 m) / ((4π x 10⁻⁷ T·m/A) * 6500)
After solving for I, we get:
I ≈ 0.00288 A
To convert the current to milliamps, multiply by 1000:
I ≈ 2.88 mA

Therefore, the numerical value of the current in the solenoid is approximately 2.88 mA.

For more such questions on Solenoid, visit

brainly.com/question/15504705

#SPJ11

(A) The image you see of yourself in the shiny tablespoon is inverted.

(B) The image you see of yourself in the shiny tablespoon is reduced.

(C) The image you see of yourself in the shiny tablespoon is virtual.

A) When you look at the front side of the spoon, the light rays reflecting off your face or any other object get reflected by the curved surface of the spoon. This reflection follows the laws of reflection, resulting in an inverted image. Therefore, the image you see of yourself in the spoon is inverted.

B)  In this case, the shiny tablespoon acts as a concave mirror. Concave mirrors can produce reduced images depending on the position of the object relative to the mirror's focal point. When the object is held at arm's length, the image formed in the spoon is smaller in size compared to the actual object. Hence, the image you see of yourself in the spoon is reduced.

C) A virtual image is formed when the light rays do not physically converge at the location of the image. In the case of a spoon, the reflected rays from the curved surface do not intersect to form a real image that can be projected onto a screen. Instead, your eyes perceive the apparent image formed by the reflected rays, which is known as a virtual image. Therefore, the image you see of yourself in the spoon is virtual.

Option (A) inverted, (B) reduced, and (C) virtual are the correct answers.

You can learn more about reflection  at

https://brainly.com/question/29788343

#SPJ11

Answer: Fluorine has seven valence electrons, so it is most likely to gain one electron to form an ion wit a 1- charge.

Explanation:

A fluorine atom can attract one additional electron to fill its outermost shell and achieve a stable electron configuration. This ability to attract electrons is due to fluorine's high electronegativity, which is a result of its small atomic size and high nuclear charge. The strong attraction between fluorine and electrons makes it highly reactive and capable of forming strong chemical bonds with other elements.

Atoms are composed of positively charged protons, negatively charged electrons, and neutral neutrons. The number of electrons in an atom determines its chemical properties, as the electrons are involved in chemical bonding. Some atoms have a tendency to attract additional electrons to fill their outermost electron shell, which can result in the formation of ionic or covalent bonds. Fluorine is one such atom that has a strong tendency to attract additional electrons due to its high electronegativity.

Fluorine is a highly electronegative element, meaning it has a strong tendency to attract electrons towards itself. This is due to its small atomic size and high nuclear charge, which results in a strong electrostatic attraction between the positively charged nucleus and the negatively charged electrons.

Fluorine has seven electrons in its outermost shell, which means it is only one electron short of having a full outer shell. This makes fluorine highly reactive, as it has a strong tendency to attract an additional electron to fill its outer shell and achieve a stable electron configuration. When fluorine attracts an additional electron, it forms a negative ion called fluoride.

The strength of fluorine's electronegativity can be quantified using a scale called the Pauling scale. Fluorine has the highest electronegativity of all the elements on the periodic table, with a Pauling electronegativity value of 4.0. This means that fluorine can attract electrons more strongly than any other element, making it highly reactive and capable of forming strong chemical bonds with other elements.

Here you can learn more about electronegativity

https://brainly.com/question/2060520#

#SPJ11