which of the following defines a formula for computing the time, t , as a function of the volume, v ?

Three objects of identical shape and mass, m, are attached to a rod of length l and negligible mass its moment of inertia is ML^2/2.

Mass of object = m

Distance between them=l

objects have equal mass so center of mass will be at the axis

Distance of object from center of mass d=l/2

Moment of inertia=mass *distance between them^2

Total momentum of inertia = moment of inertia of object 1
+ moment of inertia of object 1

I=Md^2+Md^2

I=M(L/2)^2+M(L/2)^2

I=ML^2/2

Moment of inertia, is a quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force). The axis may be internal or external and may or may not be fixed depending on the situation.

SI unit: kg⋅m2

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The following statements are true: 1) The magnitude of a vector is independent of the coordinate system used. 2) Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. 3) The magnitude of a vector can be zero even though one of its components is not zero. 4) Rotating a vector about an axis passing through the tip of the vector does not change the vector.

Adding a scalar quantity to a vector is not possible. The magnitude of a vector can only be changed by scalar multiplication or by adding or subtracting vectors.

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The units which were introduced in this chapter include the following below:

This is defined as the system of measurements to calculate the mass, distance, and volume of any object.

Let's note that there are three major systems and they include the following below:

M- meter, used to measure the length.

Kg- kilogram, used to measure the mass.

S- second, used to measure time.

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Answer:

No i cannot

Explanation:

because i haven't learnt it yet

I am so sorry

The stationary object achieves the speed of 5 m/s at time 0.4 second.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Mass of the object = 4 kg.

Force applied on it = 50 Newton.

Acceleration of the object = (50 ÷ 4) m/s² = 12.5 m/s²

Let at time t second, the speed of the object = 5 m/s.

Hence, the time taken to achieve the speed of 5 m/s is = (5 ÷ 12.5) second

= 0.4 second.

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Answer: The final velocity (magnitude and direction) of the 0.150-kg glider is 4.84 m/s to the right and the final velocity (magnitude and direction) of the 0.300-kg glider is 1.48 m/s to the left.

Explanation:

Yes, this question is possible to solve.

In an elastic collision, the total momentum of the two objects before the collision is equal to the total momentum after the collision. We can use this principle to find the final velocities of the two gliders.

Let's call the final velocity of the 0.150-kg glider "v1" and the final velocity of the 0.300-kg glider "v2". The initial momentum of the 0.150-kg glider is 0.150 kg * 0.80 m/s = 0.12 kg m/s. The initial momentum of the 0.300-kg glider is 0.300 kg * -2.20 m/s = -0.66 kg m/s. The total initial momentum is 0.12 kg m/s + (-0.66 kg m/s) = -0.54 kg m/s.

The total momentum after the collision is equal to 0.150 kg * v1 + 0.300 kg * v2 = 0.

Solving for v1 and v2, we find:

v1 = (0.300 kg * 2.20 m/s + 0.66 kg m/s) / 0.150 kg = 4.84 m/s to the right

v2 = (0.12 kg m/s - 0.150 kg * 0.80 m/s) / 0.300 kg = -1.48 m/s to the left

So the final velocity (magnitude and direction) of the 0.150-kg glider is 4.84 m/s to the right and the final velocity (magnitude and direction) of the 0.300-kg glider is 1.48 m/s to the left.

After several contacts with a charged ball, the charge on the rod will become negatively charged on end A with end B remaining almost neutral.

When the charged ball is touched to end A, some of its negative charges will be transferred to the rod and deposited at end A, increasing the negative charge on that end. End B will remain neutral or nearly neutral since no charge has been transferred to it.

The process of charging a rod by contact with a charged ball is called "contact charging." In this process, electrons from the charged ball transfer to the rod, causing the rod to become charged.

When the charged ball is touched to end A of the rod, electrons from the ball are transferred to the rod and accumulate at that end, giving it a negative charge.

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1. In finding analytic solution of forced d.e's the IC's must always be evaluated after the expressions for the transient and steady state have been combined. (True)

2. The frequency at which at which sinusoidal forcing function causes the steady-state amplitude oscillations of a mass-spring-damper system to be maximum is the natural frequency. (False)

Sine waves or sinusoidal are mathematical functions which are in the form of smooth, repetitive oscillations. This function often appears in the sciences mathematics, physics, signal processing, and electrical engineering, and various other fields.

Sine waves are very important in physics because they retain their shape when added to another sine wave of the same frequency even though the phase is different. This wave is the only periodic function that has this property. This property makes these waves an important part of Fourier Analysis.

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The speed of the pulse is 173.2 m/s.

We have to note that the speed of the pulse would depend on the mass of the spring and also on the density of the pulse. In this case, we can see that a  string with a linear mass density of = 0.0090 kg/m is tied to the ceiling. A 27 kg mass is tied to the free end of the string.

We have that;

v = √ M/d

v = velocity

M = mas of the spring

d = density of the spring

v = √ 27 Kg/0.0090 kg/m

V = 173.2 m/s

Thus the pulse would have a speed of 173.2 m/s.

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Here is one way to implement the solution in Java:

class Solution {

   public int solution(int N) {

       int sumOfDigitsN = getSumOfDigits(N);

       for (int i = N + 1; ; i++) {

           if (getSumOfDigits(i) == 2 * sumOfDigitsN) {

              return i;

           }

       }

   }

   private int getSumOfDigits(int n) {

       int sum = 0;

       while (n > 0) {

           sum += n % 10;

           n /= 10;

       }

      return sum;

   }

}

Java is a high-level programming language developed by Sun Microsystems (now owned by Oracle Corporation) in the mid-1990s. It is class-based, object-oriented, and designed to have as few implementation dependencies as possible, meaning that code written in Java can run on any device with a Java Virtual Machine (JVM) installed, regardless of the underlying architecture.

Java is widely used for developing applications for desktop computers, mobile devices, web servers, and enterprise applications. It is also a popular language for creating Android mobile apps. Java's popularity stems from its simplicity, portability, security, and scalability

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The average speed of the toy rocket is 2H/Δt, if it fallen back to the ground in Δt time.

The average speed of the toy rocket during the time interval from when it was first fired off to when it returned to the ground is given by the equation:

average speed = total distance traveled / elapsed time

Since the toy rocket was propelled straight upward and reached a height H, and then fell back down to the ground, the total distance traveled is 2H. And the elapsed time is Δt, is the time it took the rocket to reach its maximum height H and then fall back down to the ground.

Therefore, the average speed of the rocket during the time interval delta t is:

Average speed = 2H/Δt

Hence option B is correct.

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--The given question is incomplete, the complete question is:

"a toy rocket is propelled straight upward from the ground and reaches the height h. after an elapsed time Δt, measured from the time the rocket was first fired off, the rocket has fallen back down to the ground, landing at the same spot from which it was launched. The average speed of the rocket during this time is A) zero B) 2 H/Δt, C) H/Δt, D) 1/2H/Δt"--

Inertia is being illustrated when a tablecloth is quickly yanked beneath dishes resting on a table.

Answer is D.

What is Inertia ?

Inertia is a property of matter that causes an object to resist a change in its state of motion. This means that an object that is at rest will stay at rest, and an object that is in motion will stay in motion, unless an external force is applied to it.

Inertia is one of the fundamental laws of physics and is closely related to mass. Objects with greater mass have greater inertia, meaning that it takes more force to move them. Inertia is also responsible for the resistance of objects to changes in their speed or direction.

This can be seen in motion such as throwing a ball, where the ball will maintain its velocity until it is acted upon by an outside force. Inertia is also responsible for the momentum of objects, which is the product of mass and velocity.

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Answer:

The minimum force, F, required for the block to just start to move is equal to the force of static friction, f s:

f s = (µ)s x N

where N is the normal force (the force perpendicular to the surface) = m x g = 2.0 kg x 9.8 m/s^2 = 19.6 N

f s = (µ)s x N = 0.50 x 19.6 N = 9.8 N

The force, F, required for the block to continue to move at a constant velocity is equal to the force of kinetic friction, f k:

f k = (µ)k x N = 0.30 x 19.6 N = 5.88 N

If a force is applied greater than the force required for the block to continue to move at a constant velocity, the block will accelerate. If the applied force is greater than the minimum force required for the block to just start to move, the block will begin moving.

CentiStoke (cSt) conversion: 1 mm2/s = 106 m2/s. The kinematic viscosity of water at 20 °C is approximately 1 cSt.

0.8 mm2 per second or soWater has a kinematic viscosity that ranges from 1.3 mm2 per second at 10 °C to 0.8 mm2 per second at 30 °C. The viscosity of water reduces as temperature rises.

By dividing a fluid's absolute viscosity by its mass density, the kinematic viscosity of the fluid may be calculated.

The shear stress is divided by the rate of shear strain to get dynamic viscosity, also known as absolute viscosity.

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The correct answer is quicksand or liquefied.

Quicksand is a type of soil that can trap and sink objects placed on its surface due to the high viscosity of the sand caused by the presence of water.

When weight is placed on quicksand, it causes the solid particles to separate and the water to rise to the surface, making it difficult to extract the object or support weight. It is often found near riverbanks, estuaries, and other water sources.

When pressure is applied to quicksand, such as a person or object stepping on it, the sand loses its strength and cannot support weight. This can result in the person or object becoming trapped and sinking into the quicksand.

It is important to exercise caution when near quicksand, as it can be difficult to extract yourself or others once trapped. The best way to avoid quicksand is to stay on solid ground and avoid low-lying, marshy areas near water sources.

If you do become trapped in quicksand, it is recommended to remain calm and try to slowly spread your weight over a larger area to gradually extract yourself.

Therefore, The correct answer is quicksand or liquefied.

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The vertical axis of the graph is L/T^4 and the horizontal axis is T.

The units for L/T^4 should be W/m^2K^4, and the units for T should be in Kelvin.

To determine the Stefan-Boltzmann constant, the data must be transformed so that the relationship between luminosity (L) and temperature (T) follows a straight line.

This can be achieved by plotting L/T^4 against T.

According to the Stefan-Boltzmann Law, L = σAT^4,

where A is the surface area and

σ is the Stefan-Boltzmann constant.

So, L/T^4 = σA, which is a constant value for a given surface area.

The slope of the line is equal to σA.

To transform the data so that the graph will be linear, we need to plot the natural logarithm of luminosity (L) against the reciprocal of the temperature (1/T).

This will result in a straight line, as the equation for the Stefan-Boltzmann Law can be transformed into a linear equation by taking the natural logarithm of both sides:

ln(L) = ln(σAT^4) = 4ln(σ) + 4ln(A) - 4/T

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To test the accuracy of the newspaper account, you should first calculate the drag coefficient. This is the ratio of the aerodynamic drag force (which is proportional to the square of the velocity of the object) to the object's weight.

Assuming a terminal velocity of 102 mi/h and a deceleration of the paratrooper due to air resistance proportional to his velocity, with a constant of proportionality, you can calculate the drag coefficient using the following equation:

Drag Coefficient = 2 * Weight * Terminal Velocity / (Air Density * Surface Area * Velocity^2)

Using this equation, you can calculate the drag coefficient for the given account.

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Explanation:

Wapp=w+ma

Wapp=mg+ma

Wapp=6*10+6*10

Wapp=60+60

Wapp=120N

The set of all vectors which are scalar multiples of a nonzero vector u is a line through u and 0. a column vector in r₂ is a 1 x 2 matrix. The magnitude of a vector cv is c times the magnitude of v, where c is any scalar. The correct option is Option C.

Vector multiplication may refer to one of several products between two (or more) vectors. Multiplication of vectors is of two types. A vector has both magnitude and direction and based on this the two ways of multiplication of vectors are the dot product of two vectors and the cross product of two vectors. Dot product or "scalar product", is a binary product that takes place with two vectors and returns a scalar quantity. The dot product of two vectors can be defined as the product of the magnitudes of the two vectors and the cosine of the angle between the two vectors. Thus, A ⋅ B = |A| |B| cos θ

Cross product, or the "vector product", is a binary product on two vectors that results in another vector. So, if n is the unit vector perpendicular to the plane determined by vectors A and B,

A × B = |A| |B| sin θ n

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Answer:

It is true

Explanation:

Because

The rest of the image in the image plane and measure the image height relative to the object height, if needed.

To solve the problem, you can use the following steps:

the optical axis and center the lens on it.

Mark and label the focal points at distance f on either side, with f = 2.8 cm.

Represent the object with an upright arrow at a distance of s = 9.0 cm from the lens.

the three special rays from the tip of the arrow:

Ray 1: Parallel to the axis, refracts through the far focal point.

Ray 2: Enters the lens along a line through the near focal point, emerges parallel to the axis.

Ray 3: Goes through the center of the lens and does not bend.

Extend the rays until they converge at the image point.

Measure the image distance, s'. The image distance can be calculated using the lens equation:

1/s' + 1/s = 1/f

where s' is the image distance, s is the object distance, and f is the focal length of the lens.

Draw the rest of the image in the image plane and measure the image height relative to the object height, if needed.

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Answer:

The proper hand placement while driving is at 9 and 3 o'clock position or 10 and 2 o'clock position on the steering wheel. It is important to keep hands in the correct hand placement to ensure maximum control of the vehicle in case of sudden events or emergency situations, and to avoid fatigue or cramping in the hands and arms. Keeping hands at the proper placement allows for quick and effective responses to unexpected road conditions and enables the driver to make necessary adjustments to maintain the safety of themselves and others on the road.

The volume is 189.6ml if it has a volume of 240.0 mL at 25 degrees celcius and 0.789 atm.

According to Boyles law, the volume and pressure vary inversely when a gas is held in a closed container at a constant temperature and mass.

P1V1= P2V2

In this case, P1 = 0.79 atm, V1 = 240 ml, and P2 = 1 atm.

Consequently, by changing the variables in the equation above, we get

0.79×240 = 1×V2

V2 = 189.6 ml

Consequently, its volume at STP (1 atm and 0 oC) is equal to 189.6 ml.

Boyle noted that the pressure and volume's product is shown to be almost constant. For an ideal gas, the volumetric product of pressure is a precise constant. V = constant * p. In his honor, Boyle's Law is the name given to this relationship between pressure and volume.

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The time taken for the rock to reach the ground, given that the rock was dropped from the top of the 321 m skyscraper is 8.09 s (3rd Option)

We know from motion under gravity that height and time are related according to the following equation:

h = ½gt²

Where

Using the above formula, we can obtain the time taken for the rock to reach the ground. Details below:

h = ½gt²

321 = ½ × 9.8 × t²

321 = 4.9 × t²

Divide both side by 4.9

t² = 321 / 4.9

Take the square root of both side

t = √(321 / 4.9)

t = 8.09 s

Thus, the time taken is 8.09 s (3rd Option)

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When you remove your finger from the coin, sliding friction between the coin and the paper causes it to slow down and stop because it changes the kinetic energy into other sorts of disordered energy, such as heat. Because of static friction and gravity, the coin began at rest.

The force that stops solid surfaces, fluid layers, and material components from moving against one other is known as friction. There are several types of friction: Dry friction is the force that opposes the relative lateral motion of two solid surfaces that are in contact. Friction is the force created when one object rubs against another. Friction happens when two objects rub against one another. Friction works in the opposite direction of motion. The amount of friction is determined by the materials used to create the two surfaces.

Here,

When you stop touching the coin, there is sliding friction between the coin and the paper, which causes it to slow down and halt because it converts the kinetic energy into other types of disordered energy, such as heat. The coin began at rest due to static friction and gravity.

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The wall's normal force is present at the top of the ladder. At the middle of the ladder, gravity is at work. These forces cause torques, that's why the normal force of the ladder touching the house the same as the gravitational force.

The gravitational force is described by Newton's Law of Universal Gravitation. The gravitational force, a type of non-contact force, is a constant force in nature that is attractive and constrained.

The force of attraction felt by two or more objects in contact is referred to as gravitational force. The Gravitational Force Formula, which was derived from Newton's Universal Law of Attraction, is used to calculate the force of gravity.

Gravity is all around us. It establishes how much we weigh and how far a thrown basketball will bounce before contacting the ground. The gravitational force on Earth is the same as the force the Earth exerts on you.

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Answer:

The height at which the two stones collided is 78.4 meters, calculated using the formula h = u^2/2g, where u = 20 m/s and g = 9.8 m/s^2.

Explanation:

The following are statements about multiple sclerosis (MS):

1. MS is characterized by increases in conduction velocity of the optic nerve

2. Magnetic Resonance Imaging can help diagnose some cases of MS

3. MS is characterized by demyelination of axons along with some axon loss

4. Symptoms of MS may include weakness, lack of coordination, impaired vision and speech.

The first statement about multiple sclerosis (MS) is false. It is stated that MS is characterized by increases in conduction velocity of the optic nerve.

An immune-mediated attack on the central nervous system characterizes the chronic, inflammatory disease known as multiple sclerosis (MS). This inflammatory disease can be diagnosed by some diagnostic techniques, such as MRI, Medical history suggestive of CNS process, and Neurological exam findings.

The diagnostic technique that provides the most accurate, non-invasive method of imaging the brain, spinal cord, or other parts of the body right now is magnetic resonance imaging (MRI). It is the go-to imaging technique for determining an MS diagnosis and tracking the progression of the condition. In actuality, MRI confirms the MS diagnosis in over 90% of patients. (the second statement is true)

MS is characterized by chronic inflammation, demyelination, gliosis, and neuronal loss, loss of vision in an eye, loss of power in an arm or leg or a rising sense of numbness in the legs. (the last statement is true; meanwhile the first statement is incorrect; MS is not characterized by an increase in the optic nerve, but rather the opposite.)

It is generally known that the main factor behind the progressive neurologic impairment that the majority of MS patients experience is the loss of axons and neurons. (the third statement is true)

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Answer:

0

Explanation:

The ball starts at rest so the initial kinetic energy has to be zero

A. Any two objects in the universe exert gravitational force on each other. The gravitational force can affect objects even if they are far from each other, and it does not only affect objects within the solar system or those on the surface of a planet or moon.

According to the law of universal gravitation, any two objects in the universe exert a gravitational force on each other, proportional to their masses and inversely proportional to the square of the distance between them. The strength of the gravitational force decreases as the distance between the objects increases.

You can calculate gravitational force by:

F = G * (m1 * m2) / r^2, in the equation F stands for force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r shows the distance between them.

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