Find the moment of inertia of a sphere of mass 0.3 kg and radius 0.6 m ​

Answer:

2.29 s

Explanation:

This problem is a description of an elastic collision (the two objects collide and effectively become one object).  The equation for an elastic collision is

\(m_1v_1+m_2v_2=m_3v_3\), where:

\(m_1v_1\) = the mass of the child (55.0 kg) times the velocity of the child (2.5\(\frac{m}{s}\))

\(m_2v_2\) =  the mass of the sled (12.0 kg) times the velocity of the sled (0.0\(\frac{m}{s}\))

\(m_3v_3\) = the combined mass of the child and the sled (67.0 kg) times the combined velocity of the child and the sled (\(v_3\))

First, rearrange the problem to solve for \(v_3\):

\(\frac{m_1v_1+m_2v_2}{m_3}=v_3\)

So,

\(\frac{(55.0\ kg)(2.5\ \frac{m}{s})+(12.0\ kg)(0.0\ \frac{m}{s})}{67.0\ kg}=v_3\\\frac{137.5\frac{kg*m}{s}}{67.0\ kg}=v_3\\2.05\frac{m}{s}=v_3\)

The force of friction for this problem is given as 60 N.  To stop the child and the sled, the force of friction must be equal and opposite to the force of the child and sled.  According to Newton's first law, force equals mass times acceleration (F=ma).  So, an equation to solve this portion of the problem can be given as -60 N=ma, where m=67.0 kg.  So,

\(-60\ N=(67.0\ kg)a\\\frac{-60\ \frac{kg*m}{s^2}}{67.0\ kg}=a\\-0.90\frac{m}{s^2}\)

Acceleration can then be used in kinematic equation #1 (\(v_f=v_i+at\)) to solve for time.  Rearrange the equation and let

\(v_f=0.0\frac{m}{s}\\v_i=2.05\frac{m}{s}\\a=-0.90\frac{m}{s^2}\)

So,

\(\frac{v_f-v_i}{a}=t\\\frac{0.0\frac{m}{s}-2.05\frac{m}{s}}{-0.90\frac{m}{s^2}}=t\\\frac{-2.05\frac{m}{s}}{-0.90\frac{m}{s^2}}=t\\2.29\ s=t\)

there is weak attraction between particles when the matter is a LIQUID.

The given statement "static electricity is caused by moving electrical charges" is false.

Static electricity is not caused by moving electrical charges but by stationary charges. When an object builds up a static electric charge, it has an excess of electrons or a deficiency of electrons.

The charge is stationary and does not move through the object like in a current.The imbalance of charge occurs when there is friction between two surfaces, which can be two objects or an object and the ground. Electrons move from one object to the other, creating a static electric charge on each object.

The amount of charge depends on the types of materials involved, the humidity, temperature, and other factors.Static electricity can be dangerous and cause damage to electrical equipment.

To prevent static electricity, grounding is used. Grounding provides a safe and efficient path for the charge to move through and prevents the buildup of charge on the object.

Static electricity can also be used for useful purposes. Photocopiers and printers use static electricity to transfer ink to paper, and air filters use static electricity to attract and trap pollutants. In industry, static electricity is used to attract and hold materials during the manufacturing process.

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Explanation:

Potential energy is a scalar quantity because it has only magnitude and no direction. Its ability to be negative does not affect its scalar nature.

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All substance listed in the chart is made up of the atoms.

Atom is smallest entity of a substance. Body is made up of atoms. it is basic building block of a body. An atom consist of electrons, protons and neutrons as sub atomic particle. whole mass of the atom is concentrated at the center of the atom which we call it as nucleus, nucleus consist of proton and neutron. Electron revolve around the nucleus at determined(fixed) orbit. Total number of protons in the atom decides the atomic number and the elements in the periodic table. The electrons which are completely filled orbitals are called as core shell electrons and which are not filled completely are called as valence electron. valence electrons are responsible for physical and chemical properties of the element. Elements which are on same column in periodic table have same number of valence electrons . Hence they have same properties.

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a 150-dB sound is approximately 10 million times louder than an 80-dB sound.

Provide instances of the differences between the audible, ultrasonic, and infrasonic frequency ranges. Three sorts of sound waves, each covering a distinct frequency range, are used. These are what they are:

The difference in decibels between two sounds is related to the ratio of their intensities (or power) by the following formula:

dB₂ - dB₁ = 10 log10(I₂ / I₁)

where dB₁ and dB₂ are the decibel levels of the two sounds, and I₁ and I₂ are their intensities (or power).

Using this formula, we can find the ratio of the intensity of a 150-dB sound to that of an 80-dB sound:

150 dB - 80 dB = 10 log10(I₁₅₀ / I₈₀)

70 = 10 log10(I₁₅₀ / I₈₀)

7 = log10(I₁₅₀ / I₈₀)

10^7 = I₁₅₀ / I₈₀

I₁₅₀  = 10^7 * I₈₀

This shows that the intensity of a 150-dB sound is 10 million times greater than that of an 80-dB sound.

Therefore, a 150-dB sound is approximately 10 million times louder than an 80-dB sound.

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The direction of the current from the positive to the negative battery terminals and the fact that the bulbs are connected in parallel to each other suggests that this circuit is a Closed Parallel Circuit. The correct option is D.

An open circuit and a closed circuit are two types of electrical circuits that describe the flow of electrical current through a circuit.

An open circuit is a circuit in which there is a break in the path of the current, meaning that the current cannot flow through the circuit. In an open circuit, the switch is in the "off" position or there is a broken wire, and so no electrical current can flow through the circuit. This means that there is no voltage or electrical energy being transferred from the source to the load.

On the other hand, a closed circuit is a circuit in which there is a complete path for the current to flow through, meaning that the current can flow through the circuit. In a closed circuit, the switch is in the "on" position, and there is a continuous path for the current to flow from the source to the load and back to the source. This means that there is voltage and electrical energy being transferred from the source to the load.

Here in this question,

The direction of the current from the positive to the negative battery and the fact that the bulbs are connected in parallel to each other suggests that this circuit is a Closed Parallel Circuit.

In a closed parallel circuit, the components are connected in parallel to each other, meaning that they are connected to the same two points in the circuit and the current has multiple paths to flow through. The voltage across each component is the same, and the total current flowing through the circuit is divided among the components according to their resistance.

In contrast, an open series circuit is a circuit in which the components are connected in series, meaning that they are connected end to end in a single path, with no other branch points for the current to follow. If one component fails, the circuit becomes open and the current stops flowing.

Therefore, based on the information provided, the circuit described in the question is a Closed Parallel Circuit.

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Answer:

Mirage is an optical illusion due to the refraction of light as it travels through different layers of air at different temperature.

Explanation:

On a clear hot afternoon, the sun heats up the ground, and the ground heats up the air immediately above it. The result is that the air directly above the ground is hotter than the air above it, leaving the air layers with different refractive indies. Since refractive index decreases with increase in temperature, the air immediately above the ground bends the light that travels through it from the sky, directly into our eyes. The image seen is perceived to be reflected from the ground, but in an actual sense is a direct image of the sky, giving one the impression of seeing a pool of water on the ground.

Answer:

（3x - 4）（x - 1）

Explanation:

Your question is wrong

Answer:

During an eccentric contraction, when an active muscle, fiber or myofibril is actively stretched, its force increases substantially during the stretch.

Answer:

100

Explanation:

Use equation p=mv

p=(50kg)(2m/s)= 100

Answer:

In a material, the magnetic behavior depends on the alignment of magnetic moments of the atoms. Magnetic moments are generated by the motion of the electrons in the atoms. When the magnetic moments of atoms in a material are aligned in a specific pattern, it creates a magnetic field which results in the material being magnetic.

In many materials, the magnetic behavior arises due to the alignment of magnetic domains, which are regions of atoms with magnetic moments aligned in the same direction. When many domains with aligned magnetic moments are present in a material, the material becomes magnetic.

The magnetic behavior of a material depends on the number of electrons and the arrangement of those electrons in the atoms. In particular, for an atom to have a magnetic moment, it must have unpaired electrons, meaning electrons that are not paired with another electron with the opposite spin. When these unpaired electrons in the atoms are aligned, they generate a magnetic moment. If all electrons are paired, there will not be a net magnetic moment, so the material will not be magnetic.

So, in summary, the magnetic behavior of a material is determined by the alignment of magnetic moments of atoms. When the magnetic moments of many atoms in a material align in the same direction, it creates a magnetic field, leading to a material being magnetic. This alignment is usually present in magnetic domains consisting of atoms with unpaired electrons.

Answer:

The work done will be "763 J". A further explanation is given below.

Explanation:

The given values are:

\(Q_1=1000 \ J\)

Temperature,

\(T_1=900^{\circ} C\)

i.e,

    \(=1173\)

\(T_2=5^{\circ}C\)

i.e.,

    \(=278\)

As we know,

⇒  \(\eta =1-\frac{T_2}{T_1}\)

On substituting the values, we get

⇒     \(=1-\frac{278}{1173}\)

⇒     \(=\frac{1173-278}{1173}\)

⇒     \(=\frac{895}{1173}\)

⇒     \(=0.763\)

then,

⇒  \(W=\eta Q_1\)

⇒       \(=0.763\times 1000\)

⇒       \(=763 \ J\)

Answer:

Radio waves are used to carry satellite signals. These waves travel at 300,000 km/s (the speed of light). This means that a signal sent to a satellite 38,000 km away takes 0.13 s to reach the satellite and another 0.13 s for the return signal to be received back on Earth.

Explanation:

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The final amount of pressure caused by the force is 90 N/m².

Initial amount of force, F₁ = 22 x 10³ N

Initial amount of pressure produced, P₁ = 110 N/m²

Final amount of force exerted, F₂ = 18 x 10³ N

Pressure is defined as the amount of force acting on an object per unit area of the object.

So, we can say that the force and pressure are directly proportional.

F ∝ P

So, F₁/P₁ = F₂/P₂

Therefore, the final amount of pressure caused by the force is,

P₂ = F₂P₁/F₁

P₂ = 18 x 10³x 110/22 x 10³

P₂ = 18/0.2

P₂ = 90 N/m²

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Answer:

Answer:

Real images are obtained using a converging lens or a concave mirror. The size of the real image depends upon the placement of the object. A virtual image is an upright image that is achieved where the rays seem to diverge. A virtual image is produced with the help of a diverging lens or a convex mirror.

Answer:

Light rays actually pass through a real image.

Explanation:

Option C is somehow correct but the hurdle is that it's only for convex mirror

The concave mirror always produce a virtual image larger than object

So option D is correct

Answer:

To convert nanometers (nm) to picometers (pm), you need to multiply the value by 1,000. Therefore, to convert 12 nanometers to picometers, you would perform the following calculation:

12 nm * 1,000 pm/nm = 12,000 pm

So, 12 nanometers is equal to 12,000 picometers.

Answer:

The answer is C.

Explanation:

Answer: C

Explanation:

A ship made of iron will float, but a small, solid chunk of iron will sink, because of the buoyant force acting on the ship.

According to Archimedes' principle, the upward buoyant force that is applied to a body submerged in a fluid, whether wholly or partially, is equal to the weight of the fluid that the body displaces and that force acts in an upward direction towards the centre of mass of the displaced fluid.

Compared to the volume of the iron ship, a lot more water is expelled. As a result, the upthrust or the buoyant force exceeds the ship's weight in accordance with Archimedes' concept. As a result of this, the iron ship floats on the water.

But in the case of the solid iron chunk, the volume of the displaced water is higher than its volume, therefore, the solid iron chunk will sink.

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Since the car masses are unknown, we are unable to calculate the numerical value of the x-component of Car A's tangential acceleration.

The energy that is held in any object or system as a function of its position or component arrangement is known as potential energy. The object or system is unaffected by external factors like air pressure or altitude. Kinetic energy, on the other hand, describes the power of moving particles within a system or an object.

They are being affected by the kinetic frictional force, which is caused by:

f = μk * N

Therefore,

fB = μk * N = μk * mB * g

Car C is at its highest point at the top of the hill, where the normal force acting on it is equal to the force of gravity. Therefore,

fC = μk * N = μk * mC * g

where mC is the mass of Car C.

For Car A, the x-component of the tangential acceleration is given by:

aA = (fB - fC) / mA

where mA is the mass of Car A.

We can substitute the following values and simplify by assuming that the mass of each of the three automobiles is the same:

aA = (μk * mB * g - μk * mC * g) / mA

aA = μk * g * (mB - mC) / mA

Since μk = 1.00 and g = 9.81 m/s², we can plug in the values and get:

aA = (mB - mC) * 9.81 / mA

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At its maximum height h, the football has zero vertical velocity, so if it was kicked with initial upward speed v, then

0² - v² = -2gh

Solve this for v :

v² = 2gh

v = √(2gh)

The height y of the football t seconds after being kicked is

y = vt - 1/2 gt²

Substitute v = √(2gh), replace y = h, and solve for h when t = 3.8 s :

h = √(2gh) t - 1/2 gt²

h = √(2gh) (3.8 s) - 1/2 g (3.8 s)²

h ≈ (16.8233 √m) √h - 70.756 m

(By √m, I mean "square root meters"; on its own this quantity doesn't make much physical sense, but we need this to be consistent with √h. h is measured in meters, so √h is measured in √m, too.)

h - (16.8233 √m) √h + 70.756 m = 0

Use the quadratic formula to solve for √h :

√h = ((16.8233 √m) ± √((16.8233 √m)² - 4 (70.756 m))) / 2

Both the positive and negative square roots result in the same solution,

√h ≈ 8.411 √m

Take the square of both sides to solve for h itself:

(√h)² ≈ (8.411 √m)²

⇒   h ≈ 70.756 m ≈ 71 m

Answer:

-48cm

Explanation:

For a convex lens f is +ve and V is +ve

Using the formula 1/f=1/v+1/u

u=12cm and f=16cm

1/16-1/12=1/v

1/v=-1/48

v=-48cm

Answer:A, and D i think

Answer:

Its the Federal government

Answer:

The angle is   \(\theta = 0.1719^o\)

Explanation:

From the question we are told that

   The  distance of separation is  \(d = 100 * 10^{-6} \ m\)

    The  wavelength of light is  \(\lambda = 600 nm = 600 *10^{-9} \ m\)

Generally the condition for destructive interference is mathematically represented as

         \(dsin(\theta ) =[m + \frac{1}{2} ]\lambda\)

Here  m is the order of maxima,  first minimum (dark space) m = 0

 So  

      \(100 *10^{-6 } * sin(\theta ) =[0 + \frac{1}{2} ]600 *10^{-9}\)

=>   \(\theta = sin^{-1} [0.003]\)

=>   \(\theta = 0.1719^o\)

Answer: The first box is 1.47

The second box is 1.323

Explanation:

The potential energy of the pendulum bob at position B is 1.323 J.

Potential energy is the energy a body has by virtue of its position or state above the ground.

The mass of the bob = 0.3 kg

height above the ground = 0.45 m

acceleration due to gravity, g = 9.8 m/s^2

Potential energy = 0.3 × 0.45 × 9.8 = 1.323 J

Therefore, the potential energy of the pendulum bob at position B is 1.323 J.

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Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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A. The acceleration reflected in the data is 38 m/s²

B. The distance traveled by the blood during the period is 0.02 m

Acceleration is defined as the rate of change of velocity with time.

From the question given, we were told the the blood undergoes constant acceleration for 38 m/s².

Thus, we can say that the acceleration reflected in this data is 38 m/s²

The distance traveled by the blood can be obtain as follow:

v² = u² + 2as

1.29² = 0.1² + (2 × 38 × s)

1.6641 = 0.01 + 76s

Collect like terms

76s = 1.6641 - 0.01

76s = 1.6541

Divide both sides by 76

s = 1.6541 / 76

s = 0.02 m

Thus, we can conclude that the distance traveled by the blood during the period is 0.02 m

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