Twin space probes have a mass of 722 kg each. If the gravitational force between the two space probes is 8.61
10-16 N. what is the distance between them?
7.48 x 103 meters

Answer:

This is as a result that about the central axis a collapsed hollow cone is equivalent to a uniform disc

Explanation:

The integration of the differential mass of the hollow right circular cone yields

[tex]I=\int\limits dmr^2 = \int\limits^a_b {\frac{2Mxr^2}{R^2 +H^2} } \, dx = \frac{2MR^2dx}{(R^2 +H^2)^2} \frac{(R^2 +H^2)^2}{4} = \frac{1}{2}MR^2[/tex]

and for a uniform disc

I = 1/2πρtr⁴ = 1/2Mr².

Final answer:

Both a uniform disc and a hollow right circular cone have the same formula for their moment of inertia when rotating about the central axis because their shapes and mass distributions result in similar rotational behavior.

Explanation:

Both a uniform disc and a hollow right circular cone have the same formula for their moment of inertia when rotating about the central axis because their shapes and distributions of mass result in similar rotational behavior.

The moment of inertia depends on the distribution of mass around an axis of rotation. In both objects, the mass is distributed symmetrically about the central axis, resulting in similar moment of inertia values.

For a uniform disc, the moment of inertia is given by the formula I = 1/2 MR², where M is the mass of the disc and R is its radius. Similarly, for a hollow right circular cone, the moment of inertia is also given by the formula I = 1/2 MR², where M is the mass of the cone and R is the radius of its base.

Answer:

Red

Explanation:

Red is a colour which has the lowest frequency. Violet has the highest frequency. Frequency has a direct relationship with energy. This means the higher the frequency, the higher the energy. Red has the lowest energy of all the colors too.

The frequency and Energy has an inverse relationship with the wavelength.

However Red has the longest wavelength of about 620 - 780 nanometer.

Answer:

Atacama Large Millimeter/Submillimeter Array (ALMA) Observatory's primary goal is to provide a radio telescope array that will allow scientists to observe and image galaxies out to the edge of the universe, and stars and planets in their formative stages with unprecedented clarity.

Explanation:

Answer:

- the location of dust and gases in space

- places where stars will be born

Explanation:

got it right on edmentum.

Answer:

Fa==kx

ma=-kx

(3.2)(9.8)=-k(0.12)

k=27 N/M

The spring constant is 27 N/M.

A force is defined as an effect that can change the motion of an object so that an object with mass can change its velocity, i.e., accelerate. Force can also be described simply as a push or pull. A force has both magnitude and direction which makes it a vector quantity.

Force is expressed as Mass times acceleration, i.e. F=ma. The SI unit of force is Newton (N).

F = -kx.

This proportional constant k is called the spring constant which is a measure of the spring's stiffness.

So, when we put both the equation together, we get

ma = -kx

Given, (3.2)(9.8)=-k(0.12)

k=27 N/M

Thus, the spring constant is 27 N/M.

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Answer:

Amplitude

Explanation:

The amplitude is maximum height a wave is measured from its rest position.

Answer:

1.250

Explanation:

Explanation:

(a) The given figure is a convex lens.

(b) In this figure, the object is placed between F and optical center of a lens. Convex lens is a converging lens. It converges the beam of light falling on it after reflection. The image is formed on the same side of the lens as the object.

The formed image is enlarged and it is virtual and erect.

(i) Type : virtual

(ii) Orientation : upright

(iii) Size : Enlarged

Answer:

Boyle's Law

Explanation:

Robert Boyle in his experiment explained the relationship between the volume and the pressure of a gas. In his experiments, he discovered that the volume of a gas is inversely proportional to the pressure at constant temperature. This implies that as the volume of the gas increase, the pressure decreases and as the volume of the gas decrease, the pressure will increase.

Now applying this concenpt to the the plunger of a bicycle pump, you will discover that as the pressure of in the plunger increase, the volume of air inside the chamber is decreasing as it is send out to pump the flat tyre. This clearly indicates inverse proportionality between pressure and volume as explained by Boyle's law.

Therefore, the plunger of a bicycle pump clearly indicates Boyle's law in action.

The operation of a bicycle pump illustrates Boyle's Law. This law states that in a closed system at constant temperature, the volume and pressure of a gas are inversely proportional - as one increases, the other decreases.

The situation you described is an application of Boyle's Law, a concept in physics. Boyle's Law states that the pressure and volume of a gas have an inverse relationship when held at a constant temperature. This means that as the volume of gas decreases, like when you push down the plunger of a bicycle pump, the pressure increases.

When the plunger is pushed down, the volume inside the pump decreases, thereby increasing the pressure. This high-pressure air then moves from an area of high pressure (inside the pump) to an area of low pressure (the flat tire), resulting in air being pumped into the tire.

A practical example aiding understanding is a deflated tire. As we start pumping air into it, its volume first increases with not much increase in pressure. However, once the tire is filled to a point where the walls resist further expansion, pressure increases as more air is pumped in. Therefore, Boyle's Law explains the mechanics of a bicycle pump and similar systems pretty well.

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Answer:

False

Explanation:

the three types are transverse, longitude, and boundary

Answer:

A thin wire has a higher resistance than a thick wire

A short wire has a lower resistance than a long wire

A warm wire has a higher resistance than a cool wire

Explanation:

Here we have the formula for resistance by diameter given as follows

[tex]R = \frac{4 \times \rho \times l}{\pi } \times \frac{1}{d^2}[/tex]

Where:

R = Resistance

ρ = Resistivity of the wire

l = Length of the wire

d = Diameter of the wire

a. Therefore, since resistance is inversely proportional to diameter of the wire, a thin wire

A thin wire produces a higher resistance value than a thicker wire with larger diameter, d

b. Also as resistance is directly proportional to the length of the wire, a long wire has a higher resistance value than a short wire

c. The formula for resistance of a wire with temperature is as follows;

[tex]R_T = R_0 \times [1 + \alpha \times (T - T_{20})][/tex]

Where:

R₀ = Copper resistance at 20°

[tex]R_T[/tex] = Copper resistance at temperature T

T = Copper conductor temperature

T₂₀ = 20°

α = Copper coefficient of resistivity

Therefore, as the temperature increase, the resistance increases.

Answer:

thin wire has  

✔ more

 resistance than a thick wire.

A short wire has  

✔ less

 resistance than a long wire.

A warm wire has  

✔ more

 resistance than a cool wire.

Explanation:

Answer: slipping on a patch of ice (A)

Explanation: there is direct contact when you slip on a patch of ice: your body, and the ice. all of the other answers are either non contact, or it is not solid to solid (wind, water). hope that makes sense :)

Answer:

Yellow, green, polka dot and white jerseys

Explanation:

Tour de France is the biggest bicycle race in the world held at France over a period of 23 days. At the end of each day of racing they give to the certain riders FOUR different colored jerseys:

At the end of the competition, the total points are counted and the different jerseys are given to the overall winners.

Answer:

[tex]0.0112 \Omega[/tex]

Explanation:

The resistance of an object tells us how much the object opposes to the flow of current through it.

The resistance of a conductor is given by the formula

[tex]R=\frac{\rho L}{A}[/tex]

where

[tex]\rho[/tex] is the resistivity of the material

L is the length of the conductor

A is the cross-sectional area

For the tungsten rod in this problem, we have:

L = 20.0 m is the length

[tex]A=1.00\cdot 10^{-4}m^2[/tex] is the cross-sectional area

[tex]\rho=5.6\cdot 10^{-8} \Omega \cdot m[/tex] is the resistivity of tungsten at 20C

Substituting into the formula, we find the resistance of the tungsten rod:

[tex]R=\frac{(5.6\cdot 10^{-8})(20.0)}{1.00\cdot 10^{-4}}=0.0112 \Omega[/tex]

Answer:

Increases

Explanation:

Since power P=IV

Then it means when current increases, the power increases hence brightness increases. I represent current, P is power and v is voltage.

Current of capacitor when in series connection is given by

[tex]I=2\pi fCV[/tex]

where I is current across capacitor, f is frequency, C is capacitance and v is voltage across capacitance. From this second formula, it is evident that an increase in capacitance increases the current across the capacitor. Therefore, if current increases, power also increases leading to an increase in brightness

Increasing the capacitance in a series circuit with an AC source and a light bulb generally increases the bulb's brightness because it reduces the capacitive reactance and allows more current to flow through the bulb. So, the correct option is A.

When an AC source is connected to a series combination of a light bulb and a variable capacitor, the brightness of the bulb is affected by the capacitive reactance of the circuit, which is inversely proportional to both the frequency of the AC source and the capacitance of the capacitor.

As the capacitance is increased (considering the frequency of the AC source is constant), the capacitive reactance decreases. This allows more current to flow through the bulb, which generally increases the bulb's brightness.

Since capacitors in an AC circuit cause the current to lead the voltage, an increase in capacitance will mean that the current increases while the voltage across the capacitor does not change significantly. Therefore, the energy dissipated by the light bulb in the form of light (and heat) increases.

Answer:

i think its true

Explanation:

Polarization is the non-symmetrical distribution of charges within a neutral object, and it does not mean that the object becomes charged.

The statement, "When an object becomes polarized, it acquires a charge and becomes a charged object," is false. Polarization is the separation of positive and negative charges within an inherently neutral object. For example, consider two metallic spheres that are neutral. When a charged glass rod is approached to the spheres, it induces a negative charge on the side nearest to the rod, leaving the other side of the spheres positively charged. However, the spheres as a whole remain electrically neutral. This is an instance of induced polarization.

It's also crucial to understand that charging by polarization does not require direct contact with a charged object. When the spheres are separated before the charged rod is removed, each sphere will have a net charge, which is the result of charging by induction, not by transfer of charge through contact. This process can be repeated multiple times without depleting the excess charge on the rod, emphasizing the non-contact nature of the process.

Answer:

T

Explanation:

momentum=mass×velocity

The momentum of an object is equal to the mass of the object times the velocity of the object which is true.

In Mechanics, momentum is calculated as the combination of an object's weight and speed. It has both a magnitude and a direction, making it a vector quantity. If an entity has weight m and speed v, then its momentum is given by,

p = mv

Where 'p' is the momentum, 'm' is the mass, and 'v' is the velocity.

Mass in motion is a definition of momentum. All things have mass, thus when something moves, it has momentum because its mass is in motion. The amount of momentum an object possesses depends on two factors: how much and how quickly the material is moving.

It is correct to say that an object's momentum is equal to its mass times its velocity.

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Answer:

1.2 A

Explanation:

We are given that

Time, dt=78 ms=[tex]78\times 10^{-3}s[/tex]

[tex]1 ms=10^{-3} s[/tex]

[tex]I_s=4.1mA=4.1\times 10^{-3} A[/tex]

[tex]1 mA=10^{-3}A[/tex]

[tex]R=12\Omega[/tex]

[tex]M=3.2mH=3.2\times 10^{-3} H[/tex]

We have to find the change in the primary current.

[tex]V_s=I_sR=4.1\times 10^{-3}\times 12=49.2\times 10^{-3} V[/tex]

[tex]V_s=M\frac{dI}{dt}[/tex]

[tex]dI=\frac{V_sdt}{M}=\frac{49.2\times 10^{-3}\times 78\times 10^{-3}}{3.2\times 10^{-3}}[/tex]

[tex]dI=1.2 A[/tex]

Answer:

Black color absorbs heat more quickly and it also emits heat at a faster rate.

Whereas silver is one of the best conductor of heat and electricity. Therefore, it absorbs heat more quickly but it does not emit heat at a faster rate.

Therefore, we can conclude that the statement black pot emits heat at a faster rate than the silver pot best explains that black pot is significantly cooler than the water in the silver pot.

Explanation:

Hope this helps :)

Final answer:

The black pot cools faster than the silver pot because black emits infrared radiation more efficiently, thereby losing heat quicker.

Explanation:

The difference in the temperature of the water in the two identical pots, one black and the other silver, after being heated and left to cool in the same room, can be explained by the properties of radiative heat transfer. Darker colors, especially black, are known to radiate heat more efficiently than lighter colors. This means that the black pot will emit more infrared radiation than the silver pot and thus cool down faster. Both pots start at the same temperature, and given identical conditions aside from color, the differing cooling rates are due to how effectively each color emits heat as radiation.

Answer:

Magnetism

Explanation:

The carpenter can separate the iron nails from the plastic nails using a magnet. The iron nails have magnetic properties therefore they would be attracted to the magnet living only the plastic nails. This process is known as magnetic separation because it is based on the physical properties of the mixed components separating a mixture of components containing magnetic and non magnetic materials.

Answer: Option (b) is the correct answer.

Explanation:

Physical equilibrium is defined as a system in which there will occur no change in the physical state of substance. For example, at zero degree celsius water is present in both liquid and solid state as follows.

      [tex]H_{2}O(l) \rightleftharpoons H_{2}O(s)[/tex]

For a system to be present in physical equilibrium is as follows.

The system must be a closed system.

It should be dynamic in nature.

There will occur no change in measurable property along with change in time.

Thus, we can conclude that ice floats in water at [tex]0^{o}C[/tex] this an example of physical equilibrium because no new substances form when the water molecules change state.

Answer:

The second one.

Explanation:

The relationship between the electric current and the rate at which a magnet is turning inside an electric generator is linear in nature.

A dynamo is an electric machine that converts mechanical energy into electrical energy. Steam turbines, gas turbines, and wind turbines typically supply mechanical energy to electric generators. Electrical generators supply nearly all of the power needed for electric power grids.

An electric motor converts electrical energy to mechanical energy in the opposite direction. Many similarities exist between motors and generators. However, in this article, we will concentrate primarily on electric generators and how they convert mechanical energy to electrical energy.

Hence,  the relationship between the electric current and the rate at which a magnet is turning inside an electric generator is linear in nature.

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Answer:

[tex]-20.0 kg m^2/s[/tex]

Explanation:

The angular momentum of an object in rotation is given by

[tex]L=I \omega[/tex]

where

I is the moment of inertia

[tex]\omega[/tex] is the angular speed

In this problem, initially we have

[tex]I=2 kg m^2[/tex] is the moment of inertia of the wheel

[tex]\omega_i = 6.0 rad/s[/tex] is the initial angular speed

So the initial angular momentum is

[tex]L_i = I\omega_i = (2)(6.0)=12 kg m^2/s[/tex]

Later, a counterclockwise torque of

[tex]\tau=-5.0 Nm[/tex] is applied

So the angular acceleration of the wheel is:

[tex]\alpha = \frac{\tau}{I}=\frac{-5.0}{2}=-2.5 rad/s^2[/tex] in the direction opposite to the initial rotation.

As a result, the final angular velocity of the wheel will be:

[tex]\omega_f = \omega_i + \alpha t[/tex]

where

t = 4.0 is the time interval

Solving,

[tex]\omega_f = +6.0 +(-2.5)(4.0)=-4 rad/s[/tex]

which means that now the wheel is rotating in the counterclockwise direction.

Therefore, the new angular momentum of the wheel is:

[tex]L_f = I\omega_f =(2)(-4.0)=-8.0 kg m^2/s[/tex]

So, the change in angular momentum is:

[tex]\Delta L=L_f - L_i = (-8.0-(12))=-20.0 kg m/s^2[/tex]

Final answer:

Another term for a Lewis structure diagram is an 'electron-dot diagram,' which represents the valence electrons of an atom as dots around the element's symbol and is used to visualize the bonding and non-bonding electrons in molecules.

Explanation:

Another term for a Lewis structure diagram is an electron-dot diagram. A Lewis structure diagram is a representation that shows the valence electrons of an atom as dots around the symbol of the element. The dots represent the number of valence electrons present in the atom and are arranged around the chemical symbol in a specific manner with a maximum of two dots on one side. For instance, the Lewis diagram for hydrogen would consist of the symbol 'H' with one dot next to it, representing its single valence electron.

The Lewis diagram is also referred to as a Lewis dot diagram and is used to visualize the bonding between atoms as well as non-bonding valence electrons. When atoms bond, the shared electrons are represented by lines, and lone pairs are depicted by dots surrounding the atoms. These diagrams help in predicting the shape of molecules and the arrangement of atoms.

Answer:

Energy is inversely proportional to wavelength.

Explanation:

The amount of energy, E, a wave carries is given as:

E = hf

where h = Planck's constant and f = frequency of the wave

Frequency and wavelength are related by the equation:

c = λf

=> f = c/λ

where λ = wavelength

Therefore, energy is:

E = hc/λ

This shows that energy is inversely proportional to wavelength. As wavelength increase, energy decreases and vice versa.

Answer:

The magnitude of change in momentum of the ball is [tex]97.5 m[/tex] and impulse is also [tex]97.5 m[/tex]

Explanation:

Given:

Velocity of a pitched ball [tex]v _{i} = 47[/tex] [tex]\frac{m}{s}[/tex]

Velocity of ball after impact [tex]v_{f} = -50.5[/tex] [tex]\frac{m}{s}[/tex]

From the formula of change in momentum,

  [tex]\Delta P = m (v_{f} -v_{i} )[/tex]

Here mass is not given in question,

Mass of ball is [tex]m[/tex]

Change in momentum is given by,

[tex]\Delta P = m (-50.5 -47)[/tex]

[tex]\Delta P = -97.5 m[/tex]

Magnitude of change in momentum is

[tex]\Delta P = 97.5 m[/tex]

And impulse is given by

 [tex]J = \Delta P[/tex]

[tex]J = -97.5 m[/tex]

So impulse and

Therefore, the magnitude of change in momentum of the ball is [tex]97.5 m[/tex] and impulse is also [tex]-97.5 m[/tex]

Answer:

[tex]2.7\cdot 10^{16} J[/tex]

Explanation:

We can approximate the hurricane as a rotating uniform cylinder, so its energy is the rotational kinetic energy, given by:

[tex]E=\frac{1}{2}I\omega^2[/tex] (1)

where

I is the moment of inertia

[tex]\omega[/tex] is the angular velocity

The moment of inertia of a cylinder rotating about its axis is

[tex]I=\frac{1}{2}MR^2[/tex]

where

M is the mass

R is the radius

So formula (1) can be written as

[tex]E=\frac{1}{2}(\frac{1}{2}MR^2)\omega^2=\frac{1}{4}MR^2\omega^2[/tex] (2)

For an object in rotation, the linear speed at the edge is related to the angular velocity by

[tex]v=\omega R[/tex]

So we can rewrite (2) as

[tex]E=\frac{1}{4}Mv^2[/tex]

where we have:

[tex]v=100 km/h = 27.8 m/s[/tex] is the speed at the edge of the hurricane

We have to calculate the mass of the cylinder. We have:

[tex]R=88 km = 88,000 m[/tex] (radius)

[tex]h=4.4 km = 4400 m[/tex] (height)

So the volume is

[tex]V=\pi R^2 h = \pi (88,000)^2 (4400)=1.07\cdot 10^{14} m^3[/tex]

The density is

[tex]\rho = 1.3 kg/m^3[/tex]

So the mass is

[tex]M=\rho V=(1.3)(1.07\cdot 10^{14})=1.39\cdot 10^{14} kg[/tex]

Therefore, the energy is

[tex]E=\frac{1}{4}(1.39\cdot 10^{14})(27.8)^2=2.7\cdot 10^{16} J[/tex]

Answer:

4.988kW

Explanation:

According to the question, energy E extracted from the ocean breaker is directly proportional to the intensity I. It can be expressed mathematically as E ∝ I

E = kI where k is the constant of proportionality.

From the formula; k = E/I

This shows that increase in energy extracted will lead to increase in its intensity and vice versa.

If the device produces 10.0 kW of power on a day when the breakers are 1.20 m high

E = 10kW and I = 1.20m

k = 10/1.20

k = 8.33kW/m

To know how much energy E that will be produced when they are 0.600 m high, we will use the same formula

k = E/I where;

k = 8.33kW/m

I = 0.600m

E = kI

E = 8.33 × 0.6

E = 4.998kW

The device will produce energy of 4.998kW when they are 0.600m high.

Answer:

It will produce 2.5 Kw at 0.6m high

Explanation:

We are given;

Initial Power output of device; P_i = 10 Kw

Initial amplitude; A_i = 1.2m

Final Amplitude; A_f = 0.6m

We know that power is directly proportional to energy because

P = Energy(work done)/time taken

Thus; P ∝ E - - - - (eq1)

Now,from the question, we are told that Energy is proportional to the intensity. Thus;

E ∝ I - - - - (eq2)

where I is intensity

Now, from formula of Intensity, which is; I = (1/2)(ρ²•β²•ω²•A²)

We can see that I is directly proportional to square of Amplitude A²

Thus, I ∝ A² - - - - (eq3)

Combining eq 1,2 and 3,we can deduce that;

P ∝ E ∝ I ∝ A²

Thus, P ∝ A²

Now, let's set up the proportion as;

P_i/P_f = A_i²/A_f²

Since we are looking for final power, let us make P_f the subject.

So,

P_f = (P_i•A_f²)/A_i²

Plugging in the relevant values to obtain ;

P_f = (10 x 0.6²)/1.2² = 2.5 Kw