the size of a neutron star is group of answer choices about the same as that of our solar system. about the same as that of the sun. about the same as earth. smaller than any of these.

Answers

Answer 1

The size of a neutron star is smaller than any of the given answer choices.

A neutron star is an extremely dense object that is formed from the collapsed core of a massive star that has undergone a supernova explosion. The mass of a neutron star is typically 1.4 times that of our Sun, but its size is only about 20 km in diameter, making it one of the most compact objects in the universe.

To put this into perspective, the diameter of our solar system is about 287 billion km, the diameter of the Sun is about 1.4 million km, and the diameter of the Earth is about 12,742 km. Therefore, a neutron star is much smaller than any of these objects, and its mass is packed into a space that is comparable in size to a medium-sized city.

In conclusion, a neutron star is much smaller than any of the given answer choices, with a diameter of only about 20 km.

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Answer 2

A neutron star is a very compact and incredibly dense object formed from the core of a massive star after a supernova explosion.

1) Our solar system is vast, spanning a distance of over 100 astronomical units (AU), with the distance between the Sun and the outer planets being several billion kilometers.

In contrast, a neutron star typically has a radius of about 10-15 kilometers, which is much smaller than the distance between any two objects in the solar system.

2) The Sun, on the other hand, is much larger than a neutron star, with a radius of about 696,000 kilometers.

The Earth, which is one of the smaller planets in our solar system, has a radius of about 6,371 kilometers.

Therefore, a neutron star is significantly smaller than both the Sun and the Earth.

3) The size of a neutron star is determined by its mass and density, which are both extremely high.

A typical neutron star has a mass of about 1.4 times that of the Sun, but is only about 10-15 kilometers in radius.

This makes it incredibly dense, with a mass-to-volume ratio that is several times higher than that of an atomic nucleus.

In summary, a neutron star is much more massive than the Sun or the Earth, but its size is significantly smaller than both, making it smaller than any of the options given.

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Related Questions

A 50Kg girl jumps off a 5-meter-high diving board. What is her kinetic energy right before she hits the water?

Answers

Answer:

2450 J

Explanation:

Given that,

A 50Kg girl jumps off a 5-meter-high diving board.

We need to find the kinetic energy of the girl before she hits the water. At this point the kinetic energy becomes equal to the potential energy such that,

\(K=mgh\\\\K=50\times 9.8\times 5\\\\K=2450\ J\)

So, her kinetic energy right before she hits the water is equal to 2450 J.

A ball is thrown straight up. At the top of its path its acceleration has a value (magnitude) of _____.
a. 0 m/s/s0 m/s/s.
b. about 5 m/s/s5 m/s/s.
c. about 10 m/s/s10 m/s/s.
d. about 20 m/s/s20 m/s/s.
e. about 50 m/s/s50 m/s/s

Answers

c.

A ball thrown up only experiences the Earth's gravitational acceleraion, and it is uniform near the earth's surface. The magnitude of gravitational acceleration is 9.81 m/s², so the closest value is 10.

Some chemical reactions release energy. Others store energy. What important chemical reaction stores energy?

Answers

Chemical energy energy stored in the bonds of chemical compounds. Chemical energy maybe realized during a chemical reaction of in the form of heat

you illuminate two slits 0.50 mm apart with light of wavelength 555 nm and observe interference fringes on a screen 6.0 m away are 6.6 mm apart. if the wavelength is increased to 700 nm does the spacing of the fringes: a. increase b. stay the same c. decrease

Answers

The spacing of the fringes will increase if the wavelength of the light is increased from 555 nm to 700 nm. Option a is Correct.

The spacing of the fringes in an interference pattern depends on the wavelength of the light and the distance between the two slits. According to the equation for the spacing of the fringes in Young's slit experiment, the spacing is given by:

d = mλ / N

here m is an integer and N is the number of fringes on the screen.

If the wavelength of the light is increased from 555 nm to 700 nm, then the value of d will increase because the new wavelength is longer than the old wavelength. This is because the wavelength determines the distance between the fringes, and as the wavelength increases, the distance between the fringes increases as well.

Therefore, the spacing of the fringes will increase if the wavelength of the light is increased from 555 nm to 700 nm. Option a is Correct.

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A spherical ball is dropped through a liquid, explain why it reaches terminal velocity.

Answers

Probably because of the drag coefficient and the density of the liquid.

A spherical ball is dropped through a liquid, explain why it reaches terminal velocity.

You are on the steep edge of the Grand Canyon, which is miles deep. You fire an arrow at an 89-degree angle towards the canyon (nearly straight up, with no hope of reaching the other side) Describe the arrow's trajectory, in particular noting approximately when the arrow has the most deceleration, the most acceleration, and then why the shift begins to happen. Cover all major points in the trajectory from initial shot to final resting place. When is the arrow moving fastest?

Answers

Answer:

a. The arrow follows a parabolic path

b. As the arrow hits the ground,

Explanation:

a Describe the arrow's trajectory, in particular noting approximately when the arrow has the most deceleration, the most acceleration, and then why the shift begins to happen. Cover all major points in the trajectory from initial shot to final resting place.

This is because, the arrow is a projectile and its path follows a parabolic curve as it goes from initial shot to final resting place.

Its equation of motion is governed by y = ut - 1/2gt² where y = parabolic path, u = initial speed of arrow, t = time and g = acceleration due to gravity.

As the arrow rises, it undergoes the most deceleration. This is because as it rises, its speed decreases until it gets to the peak of its path, where its velocity is momentarily zero.  

Also, as the arrow drops, it undergoes the most acceleration. This is because as it drops from its peak, its speed increases until it gets to the bottom of its path, where its velocity is maximum and given by v = u' - gt where u' = velocity at peak = 0 m/s. So, v = 0 - gt = -gt.

b. When is the arrow moving fastest?

As the arrow hits the ground, its velocity is highest (maximum), so it is fastest at this point.

At each end of a long bone is an expanded portion called an ______, which articulates (or forms a joint) with another bone

Answers

At each end of a long bone is an expanded portion called an "epiphysis," which articulates (or forms a joint) with another bone.

An epiphysis is a rounded or flat surface located at the ends of a long bone and is covered by a layer of smooth articular cartilage. This cartilage provides a low-friction surface that allows for smooth and pain-free movement between the bones at the joint. The epiphysis is separated from the main shaft of the bone (the diaphysis) by the epiphyseal plate, a layer of hyaline cartilage that allows for growth in children and adolescents. The epiphysis and diaphysis are joined together by a strong and flexible tissue called the epiphyseal line, which eventually fuses in adulthood and forms a solid connection between the two parts of the bone. The epiphysis and diaphysis work together to provide strength, stability, and support to the bones of the skeleton, and the joints formed by the articulation of the epiphysis and another bone play a crucial role in enabling movements such as walking, jumping, and twisting.

In short, an epiphysis is an expanded portion at the end of a long bone that articulates with another bone to form a joint, and it plays an important role in the movement and stability of the skeleton.

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a 1000 kg rhinoceros running at its top speed of 15 m/s has a kinetic energy of a.bc X 10^ J. What are the values of a.b.c. and d?

Answers

Answer:

K.E = 1.13 × 10^5 J

When compared to;

K.E = a.bc X 10^d J

We can observe that;

a = 1

b = 1

c = 3

d = 5

Explanation:

Given;

Mass of rhinoceros m = 1000kg

Velocity v = 15m/s

The kinetic energy of the body at this speed is;

K.E = 0.5×mv^2 ........1

Substituting the values of m and v into equation 1;

K.E = 0.5×1000×15^2

K.E = 112500 J

K.E = 1.13 × 10^5 J

When compared to;

K.E = a.bc X 10^d J

We can observe that;

a = 1

b = 1

c = 3

d = 5

the deuterium nucleus starts out with a kinetic energy of 9.6e-14 joules, and the proton starts out with a kinetic energy of 1.92e-13 joules. the radius of a proton is 0.9e-15 m; assume that if the particles touch, the distance between their centers will be twice that. what will be the total kinetic energy of both particles an instant before they touch?

Answers

The total kinetic energy of both the particles deuterium and proton before the touch will be 12.3 x 10⁻¹⁴.

According to the law of conservation of energy, the total energy remains always conserved at each and every point for a system if there is no external factor affecting the system.

So, the sum of the initial Kinetic and potential energy will be equal to the sum of the final Kinetic and potential energy.

So, we can write down,

Total energy initially = Total energy finally

Since, we know that the particle start from the infinite distance potential energy system will come out to be zero.

And, we know that the final potential energy of the system will be given by,

U = kq²/r

Where, K is the permittivity, q is the charge on the particle and R is the distance between them.

Now, putting all the values,

U = 9x10⁹ x (1.6 x 10⁻¹⁹)²/(2 x 0.9 x 10⁻¹⁵)

U = 1.28 x 10⁻¹³ J.

The kinetic energy of deuterium and proton is given to be 9.6 x 10⁻¹⁴ J and 1.92 x 10⁻¹³ J respectively.

Supporting all the values accordingly,

25.1 × 10⁻¹⁴ + 0 = 1.28 × 10⁻¹³ + K

K is the final kinetic energy.

The total kinetic energy of the deuterium and proton just the instant before the touch is 12.3 x 10⁻¹⁴ J.

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Successful replication means that certain conclusions about behavior have been repeated in multiple experiments. True or false?

Answers

The given statement "Successful replication means that certain conclusions about behavior have been repeated in multiple experiments" is true.

Replication refers to the practice of conducting scientific experiments more than once in order to assess the consistency of the outcomes and the validity of the research methods used. Replication provides an important basis for the validation and assessment of research findings. The findings of a study can only be regarded as reliable and meaningful if they can be replicated by other scientists in independent experiments. This is especially true in fields like psychology and medicine where the results can have real-life implications. Replication, when done correctly, enables researchers to establish the reliability and generalizability of their findings, ensuring that any conclusions reached are accurate and meaningful.

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Question 10: You throw a shoe with a mass of 0.3 kg towards your archnemesis
Icky Garage and it moves horizontally to the right at 20 m/s. However, Icky is slick so
she dodges the shoe and it rebounds horizontally to the left at 30 m/s. Determine
the impulse that acts on the shoe during its collision with the wall.

Answers

The impulse that acts on the shoe during its collision with the wall is -15 kg*m/s (to the left).

Calculation steps:

The initial momentum of the shoe, p1 = mv1 = 0.3 kg * 20 m/s = 6 kgm/s (to the right)

The final momentum of the shoe, p2 = mv2 = 0.3 kg * (-30 m/s) = -9 kgm/s (to the left)

The change in momentum, Δp = p2 - p1 = -9 kgm/s - 6 kgm/s = -15 kg*m/s (to the left)

Therefore, the impulse acting on the shoe during its collision with the wall is J = Δp = -15 kg*m/s (to the left)

What is impulse?

Impulse refers to the change in momentum of an object when a force is applied to it for a certain amount of time. It is defined as the product of the force and the time for which it acts on an object. Mathematically, impulse can be expressed as:

J = F * Δt

where J is the impulse, F is the force applied, and Δt is the time for which the force acts.

What is momentum?

Momentum is a physical quantity that measures the motion of an object. It is defined as the product of an object's mass and velocity. In other words, momentum = mass x velocity.

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pls help thank you ​

pls help thank you

Answers

Punching a bag is a suitable example of the situation when the force applied to change shape of an object.

Oil having a density of 922kg/m^3 floats on water. A rectangular block of wood 3.97 cm high and with a density of 963 kg/m^3 floats partly in the oil and partly in the water. The oil completely covers the block. How far below the interface between the two liquids is the bottom of the block? Answer in units of m.

Answers

Explanation:

For the equilibrium:

\rho_{wood}gh-\rho_{oil}g(h-x)-\rho_{water}gx=0ρ

wood

gh−ρ

oil

g(h−x)−ρ

water

gx=0

\rho_{wood}h-\rho_{oil}(h-x)-\rho_{water}x=0ρ

wood

h−ρ

oil

(h−x)−ρ

water

x=0

(974)(3.97)-928(3.97-x)-1000x=0(974)(3.97)−928(3.97−x)−1000x=0

x=2.54\ cmx=2.54 cm

anyone who is in class 6?​

Answers

Answer:

hey I am in class 6 why did you ask

A 25 N force stretches a spring 280 cm. What was the spring constant? ​

 A 25 N force stretches a spring 280 cm. What was the spring constant?

Answers

Answer:

F= 25N∆l=280cmK=?you apply the formula = K:F/∆l= 0,089N/cm

Hi there!

Using Hooke's Law:

F = kx

F = Force (N)

k = Spring constant (N/m)

x = displacement (m)

Begin by converting cm to m:

280 cm = 2.8 m

Now, plug in the givens:

25 = 2.8k

k = 8.93 N/m

HELP PLZ!!!!!
Why do things get classified as"hot" or "cold"?

Answers

Answer:

Heat flows from higher to lower temperature. So when you keep hot things in normal temperature, the heat from hot object transfers to the environment until they are both on the same level. Same happens when a cold object is kept in normal room temperature, the heat from the environment transfers to the cold object until they are both equal. its all about achieving the equilibrium in a system

What is the kinetic energy of a 10-kg bicycle moving at 10 m/s?
O A. 100 kg-m/s
B. 1 J
C. 500 J
O D. 100 J
SUB​

Answers

Answer:

C. 500 J

Explanation:The equation of Kinetic energy is KE = (mv^2)/2 therefore here m, which is mass, is 10 and v, which is velocity, is 10 as well. So KE = (10x10^2)/2 = 1000/2 = 500. And there we get the answer as 500 hence the answer is C. 500J

If u don’t understand this, leave a comment below. (Hope u understood!)

Kinetic energy = (1/2) (m) (v^2)

The question tells us (m) and (v) .

KE = (1/2) (10kg) (10 m/s)^2

KE = (5 kg) (100 m^2/s^2)

KE = 500 N-m

KE = 500 Joules

two carts on a track collide in an inelastic collision. the first cart has a mass of 0.5 kilograms and the second cart has a mass f 0.3 kilograms. both carts have an initial velocity of 2 m/s. find the final velocity of the carts

Answers

Answer:

\(\vec v_f =2 \ m/s\)

Explanation:

What is momentum?

Momentum is defined by the product of an objects mass and velocity and it is a vector quantity. Momentum is conserved if there are no external forces acting on the system. Momentum can be calculated using the formula below.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Formula for Momentum:}}\\\\\vec P = m \vec v\end{array}\right}\)

If momentum is conserved then,

\(\vec P_0= \vec P_f\)

Momentum is measured in (kg·m)/s

\(\hrulefill\)

In an inelastic collision, the two objects stick together after the collision, resulting in a combination of the objects. To find the final velocity of the carts, we can apply the principle of conservation of momentum.

Given:

\(m_1=0.5 \ kg\\m_2=0.3 \ kg\\\vec v_{0_{1}}=\vec v_{0_{2}}=2 \ m/s\)

Find:

\(v_{f_{1 \ and \ 2}}= \ ?? \ m/s\)

(1) - Finding the initial momentum of the system

\(\vec P=m \vec v\\\\\Longrightarrow \vec P_{0_1}=m_1 \vec v_{0_1}\\\\\Longrightarrow \vec P_{0_1}=(0.5)(2)\\\\\therefore \boxed{ \vec P_{0_1}=1 \ \frac{kg \cdot m}{s} }\\\\\Longrightarrow \vec P_{0_2}=m_2 \vec v_{0_2}\\\\\Longrightarrow \vec P_{0_2}=(0.3)(2)\\\\\therefore \boxed{ \vec P_{0_2}=0.6 \ \frac{kg \cdot m}{s} }\\\\ \\\vec P_0= \vec P_{0_1}+\vec P_{0_2}\\\\\therefore \boxed{\vec P_0=1.6\ \frac{kg \cdot m}{s} }}\)

(2) - Find the final momentum of the system

\(\vec P_f=(m_{1 \ and \ 2})( \vec v_{1 \ and \ 2})\\\\\Longrightarrow \vec P_f=(0.5+0.3)\vec v_{1 \ and \ 2}\\\\\therefore \boxed{\vec P_f=(0.8)\vec v_{1 \ and \ 2}}\)

(3) - Momentum is conserved, set them equal to each other

\(\vec P_0= \vec P_f\\\\\Longrightarrow1.6=(0.8)\vec v_{1 \ and \ 2}\\\\\Longrightarrow\vec v_{1 \ and \ 2} = \frac{1.6}{0.8} \\\\\therefore \boxed{\boxed{\vec v_{1 \ and \ 2} =2 \ m/s}}\)

Thus, the problem is solved.

If two carts on a track collide in an inelastic collision. the first cart has a mass of 0.5 kilograms and the second cart has a mass f 0.3 kilograms. both carts have an initial velocity of 2 m/s. The final velocity of the carts is 2 m/s.

In an inelastic collision, objects stick together after colliding, and kinetic energy is not conserved. Let us solve this question to find the final velocity of carts:

Given that,

Mass of the first cart (m1) = 0.5 kg

Mass of the second cart (m2) = 0.3 kg

Initial velocity of both the carts (u) = 2 m/s

The final velocity of both the carts (v) is to be found. The momentum of the system is conserved in an inelastic collision.The initial momentum of the system (p1) = m1u1 + m2u2 = 0.5 × 2 + 0.3 × 2 = 1 + 0.6 = 1.6 kg m/s.

The final momentum of the system (p2) = (m1 + m2)v2  = 0.5 + 0.3 = 0.8 kg m/s. Therefore, 1.6 = 0.8v2 v2 = 2 m/s.

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How does sound travel? *
Air molecules move in a straight line in one direction.
Air molecules move in waves that sometimes bounce back.
Air molecules move in waves in one direction.
None of the above.

Answers

Answer: 2 i think

Explanation:

Answer:Im pretty sure its the second one because sound sometimes bounces back and that causes echo and it doesnt travel in one line or direction

Explanation:

1. A softball pitcher throws a softball with a force of 3.02 N, accelerating the ball at a rate of 15.9 m/s2. What is the mass of the softball?​

Answers

Answer:

The mass of the softball is 0.19 Kg

Explanation:

Mechanical Force

According to Newton's second law, the net force exerted by an external agent on an object of mass m is:

\(F=m.a\)

Where a is the acceleration produced on the object.

According to the question, the softball is thrown with a force of F=3.02 N and the ball is accelerated at \(a=15.9\ m/s^2\). To calculate the mass of the ball, we can solve the equation for m:

\(\displaystyle m=\frac{F}{a}\)

Substituting the values:

\(\displaystyle m=\frac{3.02}{15.9}=0.19\ Kg\)

The mass of the softball is 0.19 Kg

Which term describes a wave that is made up of electric and magnetic fields?

A) Electromagnetic wave
B) Wave made of particles
C) Electronic wave
D) Magnetic wave

Answers

A) Electromagnetic wave

Answer:

A) Electomagnetic wave

Explanation:

what payment rules apply when the patient sees an out-of-network physician

Answers

When a patient sees an out-of-network physician, the payment rules depend on the type of insurance plan the patient has.

In general, out-of-network care is not covered or is only partially covered by insurance plans, and the patient may be responsible for paying the difference between the amount charged by the out-of-network physician and the amount that the insurance plan covers.

For example, in a preferred provider organization (PPO) plan, patients may have some coverage for out-of-network care, but they will generally have to pay higher copays, coinsurance, and deductibles.

In a health maintenance organization (HMO) plan, out-of-network care may not be covered at all, except in emergency situations.

In some cases, out-of-network physicians may be willing to accept the insurance plan's payment as payment in full, but this is not guaranteed, and patients should check with their insurance plan and the physician's office to understand their financial responsibility.

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three people are standing on a horizontally rotating platform in an amusement park. one person is at radius r, the second person is 3/5r away from the center, and the third person is 1/2r away from the center. let's say they are all able to not slide, compare their periods, their speeds, and their radial accelerations. for each quantity, rank each quantity from smallest to largest. explain your reasoning for each ranking. what force is keeping them on the rotating platform? the person with mass, m, at 1/2 r begins to walk towards the outside of the circle and begins to slip when they reach 1.5r. if r is 5m and the period is 9s. what is the coefficient of static friction?

Answers

All periods between 1 and 2 are equal, hence T2 = T, T3, and so forth, the third individual has a linear velocity of 1/2v whereas the second person has a linear velocity of 3/5v and a linear acceleration of 3/5a.

Everyone has the same period since everyone has the same rotational velocity, which is constant and independent of the park equipment's radius. T = T1= T2, Pseudovectors in physics such as rotational velocity, angular frequency vector, and angular velocity are used to describe how quickly an object's angular position or orientation changes.

V = wR V2 = W(3/5) RsV2 = v

V3 = W(1/2R)

Similar to how a2 equals 3/5a, V3 equals 1/2v.

V = wR

V2 = W(3/5)R

V2 = 3/5v

V3 = W(1/2R)

V3 = 1/2 v

similarly

a2 = 3/5a

and a3 = 1/2a

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6. Given cost=0 € (2): a) Determine sin28 b) Which quadrant does sin20 lie and what is the angle to the nearest tenth of a degree? Q

Answers

Since cost = 0 €, the value of sinθ will be 1.  Recall that the Pythagorean identity for sine and cosine states that sin²θ + cos²θ = 1. So, sin²θ = 1 - cos²θ. Given cost=0 €,cosθ=0. Substituting cosθ = 0, we get;sin²θ = 1 - cos²θ.  sin²θ = 1 - 0² = 1Therefore,sinθ = √1 = 1  

This means that sin28 = 1  Since sin20 lies in the first quadrant (0° to 90°), it will have a positive value. To determine sin20, we can use a calculator or reference a trigonometric table. To the nearest tenth of a degree, sin20 is 0.3 and it lies in the first quadrant.

An identity that expresses the Pythagorean theorem in terms of trigonometric functions is known as the Pythagorean trigonometric identity, or simply the Pythagorean identity. It is one of the fundamental relations between the sine and cosine functions, along with the sum-of-angles formulas. The angle can be any real value, and the equation is s i n 2 + c o s 2 = 1. Given both the sine value and the quadrant in which the angle is located, we can use the Pythagorean identity to determine the angle of cosine.

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how would the air pressure change if ""fair"" weather were approaching?

Answers

As fair weather approaches, the air pressure generally increases. Fair weather is associated with high-pressure systems, where air descends and becomes more compressed, resulting in higher atmospheric pressure. This increase in air pressure indicates stable weather conditions with clear skies and relatively calm winds.

There is typically a rise in air pressure. Fair weather is associated with high-pressure systems, where air descends and spreads outwards, leading to compression and an increase in atmospheric pressure. This rise in air pressure indicates stable weather conditions with clear skies, minimal cloud cover, and generally calm winds. The higher air pressure inhibits the formation of clouds and precipitation, creating a favorable environment for pleasant and sunny weather. Meteorologists often monitor changes in air pressure as an indicator of approaching fair weather systems.

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Is there a scale used to measure the intensity of hail storm

Answers

Answer: The Torro Hailstorm Intensity Scale

Explanation:

At the top of a roller coaster there is a cabin whose mass is 100 kg at a height of 40 m and with a speed of 5 m/s.

A. Calculate its mechanical energy.

(Please help!)

Answers

At the top of a roller coaster there is a cabin whose mass is 100 kg at a height of 40 m and with a speed of 5 m/s, its mechanical energy becomes: 40450 J

What is mechanical energy?

Mechanical energy, also known as kinetic energy or potential energy, is the energy that an item possesses when it is in motion or the energy that an object stores due to its location. Renewable energy is also fueled by mechanical energy.

In order to efficiently create electricity or convert energy, many sources of renewable energy depend on mechanical energy.

A compressed spring, for instance, has mechanical energy in the form of potential energy, whereas a moving vehicle has mechanical energy in the form of kinetic energy.

Given that,

mass (m) = 100 kg

speed (v) = 5 m/s

height (h) = 40 m

Total mechanical energy of the roller coaster at point A

= Potential energy at point A + Kinetic energy at point A

= mgh + (1/2)mv²

= (100×9.8×40)+ [0.5×100×(5)²]

= 39200 + 1250

= 40450 J (Answer)

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The less mass an object has, the --- its gravitational f

The less mass an object has, the --- its gravitational f

Answers

Answer:

The less mass an object has, the less its gravitational  [force.]

Explanation:

Newton's Law of Gravity states that \(F_G=\frac{Gm_1m_2}{r^{2}}\). The two m values are the objects' masses, G is the gravitational constant, and r is the distance between the objects' centers. Notice how the mass values are in the fraction's numerator? That means increasing the mass of one or both objects increases \(F_G\). That also implies the inverse; decreasing the mass of one or both objects decreases \(F_G\)!

I hope this helps you understand this concept a little more! Have yourself a fantastic day, 'kay?

Two chambers are connected via a manometer. Each contains water under pressure. B is 1.5 m higher than A. The difference in the level of mercury (sg 13.6) is 0.7 m. What is the pressure difference between A and B?

Answers

Hydrostatic pressure refers to the pressure exerted by a fluid at rest due to the weight of the fluid above. To find the pressure difference between points A and B, we can use the hydrostatic pressure equation: P = ρgh

Where:

P is the pressure

ρ is the density of the fluid

g is the acceleration due to gravity

h is the height difference between the two points

Given that the height difference between point B and A is 1.5 m, and the difference in the level of mercury in the manometer is 0.7 m, we can calculate the pressure difference.

The density of mercury (ρ_mercury) is 13.6 times the density of water (ρ_water).

The pressure difference between A and B is equal to the difference in hydrostatic pressure between the two points:

ΔP = P_B - P_A = ρ_water * g * h_water - ρ_mercury * g * h_mercury

Substituting the known values:

ΔP = (1.0 kg/m^3) * (9.8 m/s^2) * (1.5 m) - (13.6 * 1.0 kg/m^3) * (9.8 m/s^2) * (0.7 m)

Evaluating the expression:

ΔP = 14.7 kPa

Therefore, the pressure difference between points A and B is 14.7 kilopascals (kPa).

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find the linear acceleration of block aa if there is no slipping between the cord and the surface of the wheel. express your answer in meters per second squared.

Answers

Linear acceleration of block aa is \(1.062 m/s^2\\\).

Given,

Radius R=0.11 m

Moment of inertia I= 0.3kg\(m^2\)

Net torque \(T_n_e_t = I\alpha\)

\(= (I\alpha )/R\)

So since there is no slipping, whatever is the acceleration of the block is the acceleration of the cord. And that acceleration will be the linear acceleration of the this linear acceleration of the pulley.

So let's just assume Ta. Is greater than Tb.

Ta \(\ge\) Tb

(Ta-Tb)×R= I×(a/\(R\))

Ta-Tb=(0.3×a)/\(0.11^2\)

Ta-Tb = 24.8a      ............(1)

(5.5×9.8) - Ta= 5.5a    .......(2)

Tb-(2×9.8)=2a       ............(3)

adding equation 1, 2, and 3 we get,

\(a_A=1.062 m/s^2\)

\(a_B=1.062 m/s^2\)

\(a=R\alpha\)

\(\alpha =9.654 red/s^2\)

T=(2×1.062)+19.6

Tb=21.724 N

Ta=48.06 N

Hence,  Linear acceleration of block aa is \(1.062 m/s^2\\\).

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