Object A is moving around another object B by the
gravitational attraction. What is the acceleration of object A, if
the distance between the two objects is 5.24 x 103 m, and the
mass of object B is 4.21 x 1021 kg? Estimate G as 6.67 10-11 N
(m/kg)^2

To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.

The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.

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Answer:Near Earth's North Pole

Explanation:

The total distance traveled by the skier is  160 m.

option C.

Distance is a measure of how far apart two objects or points are. It can be defined as the numerical value of the physical space between two objects or points.

Distance can be measured in a variety of units, such as meters, feet, miles, or kilometers, depending on the system of measurement used.

Distance can also refer to the length of a path between two points, which can be a straight line or a curved line.

The total distance traveled by the skier is calculated as follows;

total distance = distance ( 0 min) + distance (1 min) + distance (2 min) + distance ( 3 mins)

total distance = 0 m + (120 m - 0 m) + ( 160 m - 120 m )

total distance = 0 m + 120 m + 40 m = 160 m

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Two clay pieces—one white and the other gray—are hurled through the air. The white clay has a momentum of 25 kg/m/s.

The momentum will be conserved in each direction separately for a collision if the moving objects are travelling in two dimensions (for example, x and y) (as long as there is no external impulse in that direction). In other words, both before and after the impact, the total momentum will be the same in the x direction.

The momentum of the cue ball is defined as mass times velocity. Because it isn't moving yet, the 8 ball has no momentum. Due to the conservation of momentum, if you strike it straight on and the cue ball stops at the point of collision, all of its momentum must transfer to the 8 ball.

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Louis Armstrong's average velocity in the time trial was approximately 1.078 km/min.

To calculate the average velocity, divide the total displacement by the total time taken. In this case, Louis Armstrong rode his bike 55 km to the east in a time trial lasting 51 minutes.

Average Velocity = Displacement / Time

Displacement = 55 km (since he rode 55 km to the east)

Time = 51 minutes

Average Velocity = 55 km / 51 min

To express the average velocity in km/min, convert the time from minutes to minutes.

1 hour = 60 minutes

Average Velocity = 55 km / 51 min × (1 hour / 60 min)

Average Velocity = 55 km / 51 min × (1/60) hour

Simplifying the expression:

Average Velocity = 1.078 km/min

Therefore, Louis Armstrong's average velocity in the time trial was approximately 1.078 km/min.

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To calculate the total work done on the block by all forces as it moves a distance "l" up the incline, we need to consider the work done by each force separately.

Assuming that the block is moving up the incline with a constant velocity, the net force on the block is zero. Therefore, the work done by the net force on the block is also zero.

However, there are two forces acting on the block: the force of gravity (Fg) and the force of friction (Ff). Since the block is moving up the incline, the direction of the frictional force is opposite to the direction of the displacement of the block, so the work done by the force of friction is negative.

The work done by the force of gravity is given by:

Wg = Fg * d

where Fg is the force of gravity acting on the block and d is the distance moved by the block in the direction of the force of gravity. Since the block is moving up the incline, the distance moved by the block in the direction of the force of gravity is l sinθ, where θ is the angle of inclination of the incline.

The work done by the force of friction is given by:

Wf = Ff * d

where Ff is the force of friction acting on the block and d is the distance moved by the block in the direction of the force of friction. Since the block is moving up the incline, the distance moved by the block in the direction of the force of friction is also l sinθ.

Since the force of friction is opposing the motion of the block, the work done by it is negative:

Wf = -μk * N * l sinθ

where μk is the coefficient of kinetic friction, N is the normal force exerted on the block by the incline and l sinθ is the distance moved by the block in the direction of the force of friction.

Therefore, the total work done on the block by all forces as it moves a distance "l" up the incline is:

Wtot = Wg + Wf

= Fg * l sinθ - μk * N * l sinθ

= (m * g * sinθ) * l sinθ - μk * (m * g * cosθ) * l sinθ

= (m * g * sinθ - μk * m * g * cosθ) * l sinθ

where m is the mass of the block, g is the acceleration due to gravity.

So, the total work done on the block by all forces as it moves a distance "l" up the incline is (m * g * sinθ - μk * m * g * cosθ) * l sinθ.

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(a) The work done by the 150 N force is 877.5 Joules.

(b) The coefficient of kinetic friction between the crate and the surface is approximately 0.437.

To answer this problem, we must take into account the work done by the applied force as well as the work done by friction.

(a) The applied force's work may be estimated using the following formula:

Work = Force * Distance * cos(theta)

where the force is 150 N and the distance is 5.85 m. Since the force is applied horizontally and the displacement is also horizontal, the angle theta between them is 0 degrees, and the cosine of 0 degrees is 1.

As a result, the applied force's work is:

Work = 150 N * 5.85 m * cos(0) = 877.5 J

So, the work done by the 150 N force is 877.5 Joules.

(b) Frictional work is equal to the force of friction multiplied by the distance. The work done by friction is identical in amount but opposite in direction to the work done by the applied force since the crate travels at a constant speed.

The frictional work may be estimated using the following formula:

Work = Force of Friction * Distance * cos(theta)

The net force applied on the crate is zero since it is travelling at a constant pace. As a result, the friction force must be equal to the applied force, which is 150 N.

Thus, the work done by friction is:

Work = 150 N * 5.85 m * cos(180) = -877.5 J

Since the work done by friction is negative, it indicates that the direction of the frictional force is opposite to the direction of motion.

The coefficient of kinetic friction may be calculated using the following equation:

Friction Force = Kinetic Friction Coefficient * Normal Force

The normal force equals the crate's weight, which may be computed as:

Normal Force = mass * gravity

where the mass is 35.0 kg and the acceleration due to gravity is approximately 9.8 m/s^2.

Normal Force = 35.0 kg * 9.8 m/s^2 = 343 N

Now, we can rearrange the equation for the force of friction to solve for the coefficient of kinetic friction:

Force of Friction = coefficient of kinetic friction * Normal Force

150 N = coefficient of kinetic friction * 343 N

coefficient of kinetic friction = 150 N / 343 N ≈ 0.437

As a result, the kinetic friction coefficient between the container and the surface is roughly 0.437.

In summary, the work done by the 150 N force is 877.5 Joules, and the coefficient of kinetic friction between the crate and the surface is approximately 0.437.

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The speed of light in material B is 1.6625 × 108 m/s.

The refractive index of a material is its optical density relative to that of a vacuum.

Material B has a refractive index of nB, and its speed of light is vB.

The speed of light in material A is given as 1.25 x 108 m/s.

The refractive indices of materials A and B have a ratio of nA/nB = 1.33.

We will use the formula:

nA/nB = vB/vA = nA/nB.

Therefore, nA/nB = vB/1.25 x 108 m/s.

This equation can be rearranged to give the speed of light in material B:

vB = nA/nB × 1.25 x 108 m/s.

Therefore, vB = 1.33 × 1.25 × 108 m/s.

We will perform this calculation:

vB = 1.6625 × 108 m/s.

Therefore, the speed of light in material B is 1.6625 × 108 m/s.

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Energy flows from the Sun to producers, then to primary consumers, secondary consumers, and potentially to tertiary consumers, forming a pyramid-shaped structure that represents the transfer of energy through different trophic levels in an ecosystem.

Energy flows in a specific order through various components of an ecosystem, starting with the Sun and progressing through producers and consumers. This flow of energy is known as the energy pyramid or trophic levels.

At the base of the energy pyramid is the Sun, which is the ultimate source of energy for most ecosystems on Earth. Sunlight provides the energy needed for photosynthesis, a process carried out by plants, algae, and some bacteria, collectively known as producers. These organisms convert solar energy into chemical energy through photosynthesis, using carbon dioxide and water to produce glucose and oxygen. This process captures and stores energy in the form of organic compounds.

The next level in the energy pyramid consists of primary consumers, also known as herbivores. These are animals that feed directly on producers, such as grazing animals or insects that consume plants. Herbivores obtain energy by consuming plant material and breaking down the organic compounds present in the plants into simpler forms, such as sugars and amino acids, through digestion.

Above the primary consumers are the secondary consumers, which are carnivores or omnivores that feed on herbivores. They obtain energy by consuming primary consumers and breaking down the organic compounds in their prey through digestion. This energy transfer continues up the trophic levels, with each level consuming the one below it.

At the top of the energy pyramid are tertiary consumers, which are typically apex predators. They are carnivores that consume other carnivores. Tertiary consumers obtain energy by consuming secondary consumers and breaking down the organic compounds in their prey.

It's important to note that energy is not efficiently transferred between trophic levels. Only a fraction of the energy consumed at each level is converted into biomass and passed on to the next level. This inefficiency is due to processes such as respiration, heat loss, and incomplete digestion.

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Answer:

0.5x35=17.5

Explanation:

You throw 0.5 kg the ball leaves your hand with

A speed of 35

Thermal energy is transferred by \(\sf\purple{conduction}\) when objects touch.

3. Conduction ✔

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Answer:

Wavelength

Explanation:

The material that obeys Hooke's law is elastic material.

Hooke's Law says that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance. And it is known for the formula  F = kX

F is the force, x is the deformation, and k is the spring constant.

Elastic materials are able to return to their original shape after being deformed by a force.

The amount of deformation is noted to be directly proportional to the amount of force applied.

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Answer:

17.15 m/s.

Explanation:

The following data were obtained from the question:

Maximum height (h) = 15 m

Final velocity (v) = 0 m/s

Acceleration due to gravity (g) = –9.8 m/s² (since the ball is going again gravity)

Initial velocity (u) =.?

The initial velocity with which the baseball pitcher threw the ball can be obtained as follow:

v² = u² + 2gh

0² = u² + (2 × –9.8 × 15)

0 = u² + (–294)

0 = u² – 294

Collect like terms

0 + 294 = u²

294 = u²

Take the square root of both side

u = √294

u = 17.15 m/s

Therefore, the baseball pitcher threw the ball with an initial velocity of 17.15 m/s

Answer:

28.3 m/s 45° below horizontal

Explanation:

Given in the y direction:

Δy = -20 m

v₀ = 0 m/s

a = -10 m/s²

Find: v

v² = v₀² + 2aΔy

v² = (0 m/s)² + 2 (-10 m/s²) (-20 m)

v = -20 m/s

In the x direction, acceleration is 0, so v = v₀ = 20 m/s.

The magnitude is found with Pythagorean theorem:

v² = (20 m/s)² + (-20 m/s)²

v = 28.3 m/s

The direction is found with trig:

θ = atan(-20 m/s / 20 m/s)

θ = -45°

Answer:

Cost = 165.6 cents = $1.656

Explanation:

First, we will calculate the total energy consumed by the bulb in a month:

\(E=Pt\\\)

where,

E = Energy Consumed = ?

P = power = 23 W

t = time = (1 month)(30 days/1 month)(24 h/1 day) = 720 h

Therefore,

\(E = (23\ W)(720\ h)\\E = 16560\ Wh = 16.56\ Kilowatt-hour\)

Now, the cost will be:

\(Cost = P(Unit\ Cost)\\Cost = (16.56\ kilowatt-hour)(10\ cents/kilowatt-hour)\)

Cost = 165.6 cents = $1.656

Answer:

body mass index

Explanation:

Answer:

\( \boxed{ \sf{ \: Option \: C \: is \: correct.}}\)

Explanation:

BMI stands for Body Mass Index .

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

No I won't.

It will carry 6ohm load.

Explanation:

It obeys ohms law therefore V=IR

120=20R

R=120/20

R= 6 ohms

(a) The magnitude of the spring's displacement when the acceleration of the box is zero can be determined by equating the initial gravitational potential energy to the elastic potential energy stored in the spring.

(b) The magnitude of the spring's displacement when the spring is fully compressed can be determined by equating the initial gravitational potential energy to the elastic potential energy stored in the spring.

(a) To determine the magnitude of the spring's displacement when the acceleration of the box is zero, we need to apply the principles of conservation of energy.

Initially, the box has gravitational potential energy given by mgh, where m is the mass of the box, g is the acceleration due to gravity, and h is the height from which the box was dropped. The initial gravitational potential energy is converted into the elastic potential energy stored in the compressed spring and the kinetic energy of the box just before it makes contact with the spring.

The gravitational potential energy is given by:

mgh = (1.9 kg)\((9.8 m/s^2)h\)

The elastic potential energy stored in the spring is given by:

1/2 kx^2\(kx^2\), where k is the spring constant and x is the displacement of the spring.

The kinetic energy of the box just before it makes contact with the spring is given by:

\(1/2 mv^2,\) where m is the mass of the box and v is the speed of the box.

Since the acceleration of the box is zero at the instant when the spring's displacement is maximum, the kinetic energy is zero. Therefore, we can equate the initial gravitational potential energy to the elastic potential energy to find the spring's displacement.

mgh = 1/2 \(kx^2\)

Substituting the given values, we have:

\((1.9 kg)(9.8 m/s^2)h = 1/2 (300 N/m)x^2\)

Solving for x, the magnitude of the spring's displacement, we can determine its value at the instant when the acceleration is zero.

(b) To find the magnitude of the spring's displacement when the spring is fully compressed, we need to consider the conservation of mechanical energy once again.

At maximum compression, all the initial gravitational potential energy is converted into the elastic potential energy stored in the compressed spring.

mgh = 1/2 \(kx^2\)

Substituting the given values and solving for x, the magnitude of the spring's displacement, we can determine its value when the spring is fully compressed.

It's important to note that in both cases, the negative sign of the displacement indicates that the spring is being compressed. The magnitude of the displacement will be a positive value.

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Answer:

the minimum thickness of the coating  is 128.25 nm

Explanation:

The computation of the minimum thickness of the coating  is shown below:

In the case of non-reflective coatings, for determining the minimum film thickness needed we need to apply the following formula  

Thickness = t = Wavelength ÷ 4n

where

n represent index of refraction of the coating material.

t = 631 ÷ (4 × 1.23)

= 128.25 nm

Hence, the minimum thickness of the coating  is 128.25 nm

Answer:

The magnitude and direction of the net force acting on the ring is equal to the vector sum of the three forces acting on it. Based on the figure, the net force acting on the ring is equal to the vector sum of F1 minus F2 plus F3, and its magnitude is equal to the square root of (F1^2 + F3^2) minus (F2^2). The direction of the net force is the same as that of F1 minus F2 plus F3. This is because the three forces, F1, F2, and F3, all act concurrently and will add up to produce a single resultant, or net force.

Answer:

The atoms come from the mother; it can be comprimised of its diet, nutrience within, and other enzymes within the canine body. According to the law of conservation of matter, they are transformed by never destroyed or created so they must have come from inside or outside in the kother's environment.

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Answer:

The initial angular speed is \(w_i = 48 \ rad/s\)

Explanation:

From the question we are told that

   The angular displacement is  \(\theta = 220 \ rad\)

    The angular speed is  \(w_f = 92 \ rad/s\)

    The acceleration is  \(\alpha = 14 \ rad/s^2\)

Generally the initial angular speed can be evaluated as

     \(w_f ^2 = w_i ^2 + 2 * \alpha * \theta\)

=>  \(w_i ^2 = w_f ^2 - 2 * \alpha * \theta\)

substituting values

=>     \(w_i ^2 = 92 ^2 - 2 * 14 * 220\)

=>      \(w_i ^2 = 2304\)

=>     \(w_i = 48 \ rad/s\)

Atomic absorption spectroscopy, often known as AAS or AA spectroscopy, is one of the earliest methods for elemental analysis to be established for the market.

The analytical method known as flame atomic absorption spectroscopy (Flame AAS or FAAS) was first commercially released in the 1960s after being invented in 1952.

The method has been well-liked ever since for its dependability and simplicity. AAS is an analytical method for figuring out how much of a particular element is in a sample. It is based on the idea that atoms (and ions) may absorb light with a certain, distinct wavelength.

The atom absorbs the energy (light) when it is present at this particular wavelength. By absorbing energy (light) at a certain wavelength, an electron is stimulated from the ground state to a higher energy level.

Therefore, Atomic absorption spectroscopy, often known as AAS or AA spectroscopy, is one of the earliest methods for elemental analysis to be established for the market.

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Answer:

The answer to this is C. good luck for the rest of your work!

Answer:

Option D

Explanation:

The thought or law the scientist has implemented he has to prove it.

Although he is 100% correct he has to show evidence to the scientist community inorder to verify.

Many laws in history have been withdrawn because of lack of evidence

Florida is usually the state most affected by these storms because of its unique location. Florida is a peninsula with warm ocean currents on either side, which allows hurricanes to make land fall on either side of the state. Florida also receives variations of coastal and inland effects from hurricanes.

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The power of Speaker can be calculated by

\(P=V.i\\P=(12).(3)\\P=36W\)

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