According to the universal law of gravitation, the force due to gravity is directly proportional to the product of the source and test masses and inversely proportional to the square of the separation between the centers of the source and test masses. True/False?

Answers

Answer 1

True, The universal law of gravitation, formulated by Sir Isaac Newton, states that the force of gravitational attraction between two objects is directly proportional to the product of their masses.

What is Universal Law of Gravitaion?

The Universal Law of Gravitaion is a fundamental law of physics that describes the force of gravitational attraction between two objects with mass. It was first formulated by Sir Isaac Newton in the 17th century and is still widely used today in various areas of science and engineering.

The law states that every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This means that the force of attraction between two objects increases as their masses increase, and decreases as the distance between them increases.

Mathematically, the Universal Law of Gravitation can be expressed as:

F = G * (m1 * m2) / r^2

where F is the force of gravitational attraction between two objects, m1 and m2 are the masses of the two objects, r is the distance between their centers, and G is the gravitational constant. The value of G is a constant that is the same for all objects in the universe, and its value has been experimentally determined to be approximately 6.67 x 10^-11 N*m^2/kg^2.

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Related Questions

An electromagnet is the most powerful type of magnet there is . It is a magnet with a current running through it that can be turned on and off , Why might it be useful to be able to turn the electromagnet on and off ?
To control the strength of the magnet
To not waste electricity
To latch onto and let go of objects
To reduce wearing out of the magnet over time

Answers

It might be useful to be able to turn the electromagnet on and off so as to latch onto and let go of objects.

Electromagnets are incredibly useful because they can be used to create a magnetic field on demand. This means they can be used to quickly switch a device or system on or off. They can be used to quickly pick up and move objects, to switch circuits, and to control the flow of electricity in a device. They are also used in many industrial and scientific applications such as manufacturing, motors, generators, and MRI machines. While you cannot feel electromagnetic radiation, it does release specific pulses that have an impact on your physical and emotional well-being. It's a good idea to turn off anything that could actually cause some of your organs to shrink.

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You are trying to push a 70kg crate out the back door. The force of friction between the crate and the floor is 275 N, and you push horizontally. How hard must you push to move the crate with a constant speed? If you push with a force of 380 N, what will be the crates acceleration? If her crates moved from rest, what will be the crate’s final velocity if you push with a force of 380 N for 6s?

Answers

(a) The acceleration of the crate  is  1.5 m/s^2

(b) The crate’s final velocity is 9 m/s.

What will be the crates acceleration?

To move the crate with a constant velocity, the force you apply must equal the force of friction. So, to move the crate, you must push with a force of 275 N.

If you push with a force of 380 N, the net force on the crate will be;

F (net)  380 N - 275 N = 105 N.

The acceleration of the crate will be given by Newton's second law of motion:

a = F / m

where;

a is the acceleration, F is the net force, and m is the mass of the crate.

So, substituting in the known values, we get:

a = 105 N / 70 kg = 1.5 m/s^2

Finally, if the crate started from rest, its final velocity after 6 seconds can be found using the equation:

v = at

v = 1.5 m/s^2  x  6s = 9 m/s

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If you are told that an object that weighs 20 Newtons is raised a distance of 10 meters, you know that the force of gravity on the object is 20 Newtons. True/False?

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The statement; "If you are told that an object that weighs 20 Newtons is raised a distance of 10 meters, you know that the force of gravity on the object is 20 Newtons." is false

What is the force of gravity?

The force of gravity is the force that attracts two objects towards each other. It is the force that keeps planets in orbit around the sun, holds the moon in orbit around the Earth, and keeps objects on the Earth's surface.

The force of gravity is proportional to the mass of the objects and the distance between them, and it decreases as the distance between the objects increases.

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an object is found to be moving in a circle with a constant speed. is there a force acting on the particle? if so, in what direction is this force. if not, why not? explain your reasoning.

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Because the object's motion is moving in the same direction as the velocity vector, the velocity vector is also pointed in a tangent direction to the circle.

While it moves in a circle, an object constantly changes its direction. The path of the object is always perpendicular to the circle. Given that its direction matches the motion of the item, the velocity vector is also oriented tangent to the circle. While it moves in a circle, an object constantly changes its direction. The path of the object is always perpendicular to the circle. Given that its direction matches the motion of the item, the velocity vector is also oriented tangent to the circle. Within, there is force.

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A concave mirror is designed to have a magnification of 4 when an object is placed 60 cm in front of it.
What is the radius of curvature of the mirror?

Answers

Answer:

no answer

Explanation:

Explain ALL the forces that are acting on the object.

Answers

The combination or the resultant of all the forces acting on an object is called Net Force, which is basically the sum of all the forces acting on that object.

What is net force?

The original forces' impact on the motion of the particle is replaced by the net force, which is a single force. In accordance with Newton's second rule of motion, it causes the particle to accelerate at a rate equal to the sum of all those actual forces.In order to keep the object's jets moving under the original system of forces, it is possible to calculate the torque connected to the point of application of a net force.

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6. A 10 kg bicycle and a 54 kg rider both have a velocity of 4,2 m.s¹ east. Draw momentum vectors for: a) the bicycle ​

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The momentum of the bicycle is 42 kgm/s.

The momentum diagram is a straight line pointing towards east.

What is the momentum of the bicycle?

Momentum is a concept in physics that describes the movement of an object. It is a vector quantity, which means it has both magnitude and direction. The momentum of an object is defined as the product of its mass and velocity, and is represented mathematically as:

p = mv

where;

p is the momentum, m is the mass of the object, and v is its velocity.

The direction of the momentum is the same as the direction of the velocity of the object.

The momentum of the bicycle is calculated as;

P = 10 kg x 4.2 m/s

P = 42 kgm/s

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a constant friction force of 30 n acts on a 60 kg skier for 20 s. what is the skier's change in velocity?

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The skier's change in velocity is 10 m/s.

To calculate the change in velocity of the skier, we can use the equation for average force:

F = m * a

where F is the force, m is the mass, and a is the acceleration. We can rearrange this equation to solve for the acceleration:

a = F / m

We can then use the equation for average acceleration:

a = (vf - vi) / t

where vf is the final velocity, vi is the initial velocity, and t is the time. We can rearrange this equation to solve for the change in velocity:

vf - vi = a * t

Substituting the known values into these equations, we get:

a = F / m = 30 N / 60 kg = 0.5 m/s²

vf - vi = a * t = 0.5 m/s² * 20 s = 10 m/s

Therefore, the skier's change in velocity is 10 m/s. Note that the direction of the change in velocity is opposite to the direction of the friction force.

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what is the acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m?

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The acceleration due to gravity on this planet would be 6.69 m[tex]s^{-2}[/tex]. This can be calculated using the equation: g = G * (M[tex]r^{-2}[/tex]).

What is acceleration?

Acceleration is the rate at which an object's velocity changes over time. It is a vector quantity, which means it has a magnitude (or size) as well as a direction. It is usually expressed in m[tex]s^{-2}[/tex].

Steps for Calculating the Acceleration Due to Gravity on a Different Planet

Step 1: Identify the mass and radius of the planet.

Step 2: Calculate the acceleration due to gravity on the surface of that planet using the equation- g= GM/[tex]R^{2}[/tex], where G is the universal gravitational constant (6.67 x [tex]10^{-11}[/tex] [tex]m^{3}[/tex] [tex]kg^{-1}[/tex][tex]s^{-2}[/tex]), M is the mass of the planet (9.8 x [tex]10^{26}[/tex] kg), and r is the radius of the planet (2.8 x [tex]10^{7}[/tex] m).

g= (6.67408 * [tex]10^{-11}[/tex] N[tex]m^{2}[/tex] [tex]kg^{-2}[/tex]) * (9.8 * [tex]10^{26}[/tex] kg)/ (2.8 * [tex]10^{7}[/tex] m) = 6.69m[tex]s^{-2}[/tex].

The acceleration due to gravity will be in meters per second per second.

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a pipet is used to measure out 10 ml of water. if the mass of this volume of water is 9.990 g and the density of water is given as 0.9978 g/ml, what is the actual volume of water measured out?

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The actual volume of water measured out is 10.018 ml

Volume of water measured by the pipette, V = 10 ml

Mass of the water, m = 9.990 g

Density of water, ρ = 0.9978 g/ml

density = mass / volume

volume = mass / density

Substituting the given values,

volume = 9.990 g / 0.9978 g/ml

volume = 10.018 ml

The actual volume of water is 10.018 ml, which is slightly higher than the intended volume of 10 ml. This could be due to factors such as the pipette not being calibrated correctly, or the surface tension of the water causing it to cling to the inside of the pipette.

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What is the angle between two vectors if magnitude of their vector product is equal three times their scalar product

Answers

Answer:

θ = 60°

Explanation:

The magnitude of the vector product of two vectors is three times their scalar product. What is the angle between the two vectors? Let A and B be the two vectors, and θ be the angle between them. θ = 60°.

what the coloring agents for some textile workers crossword?

Answers

The coloring agents used by textile workers are commonly referred to as "dyes."

Coloring agents are substances used to impart color to a variety of materials such as food, textiles, cosmetics, and plastics.

"A yellow food coloring commonly used in processed foods"

Tartrazine

"A blue food coloring commonly used in sports drinks"

: Brilliant Blue FCF

"A red food coloring commonly used in beverages and baked goods"

Allura Red AC

"A green food coloring commonly used in candies and chewing gum"

Fast Green FCF

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the a string of a violin is a little too tightly stretched. beats at 6 per second are heard when the string is sounded together with a tuning fork that is oscillating accurately at concert a. what is the period of the violin string oscillations?

Answers

The period of the violin string oscillations is 0.0022 seconds.

The beat frequency of 6 per second means that the frequency of the violin string oscillations is slightly higher than the frequency of the tuning fork.

We can use the formula for beat frequency to find the difference in frequency between the two:

Beat frequency = |f1 - f2|

where f1 and f2 are the frequencies of the two sources.

In this case, the beat frequency is 6 beats per second and the frequency of the tuning fork is the standard Concert A pitch of 440 Hz. So we have:

6 = |f1 - 440|

Solving for f1, we get:

f1 = 446 Hz or 434 Hz

The two possible frequencies of the violin string are 446 Hz and 434 Hz, with 440 Hz being the frequency of the tuning fork.

The period of a wave is the time it takes for one complete oscillation or cycle. It can be calculated as:

period = 1 / frequency

So the period of the violin string oscillations for a frequency of 446 Hz would be:

period = 1 / 446 Hz ≈ 0.0022 seconds

And for a frequency of 434 Hz:

period = 1 / 434 Hz ≈ 0.0023 seconds

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we have created a predictive model for the velocity of a galaxy based on the observed distance. suppose, that instead, we are interested in a predictive model of the distance based on the observed velocity: where is the slope, now of over , and is the intercept. fitting this linear model through least squares is essentially the same as flipping the axes of the original data and performing the same procedure again. what will the result be? (only one of these is true.) x(y)

Answers

The result of flipping the axes of the original data and performing the same procedure again will be a linear model of the form y = mx + b, where y is the predicted distance, x is the observed velocity, m is the slope, and b is the intercept. So, the answer is y(x).

When we create a predictive model for the velocity of a galaxy based on the observed distance, we have a linear model of the form v = a*d + b, where v is the predicted velocity, d is the observed distance, and a and b are the slope and intercept, respectively. To fit this linear model through least squares, we minimize the sum of squared residuals between the observed and predicted velocities. Now, if we want to create a predictive model of the distance based on the observed velocity, we need to flip the axes of the original data and perform the same procedure again. That is, we now have a linear model of the form  [tex]d = m*v + b[/tex], where d is the predicted distance, v is the observed velocity, and m and b are the slope and intercept, respectively. To fit this linear model through least squares, we minimize the sum of squared residuals between the observed and predicted distances. Thus, the result of flipping the axes of the original data and performing the same procedure again is a linear model that predicts the distance based on the observed velocity, rather than the velocity based on the observed distance.

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A photon with a frequency of 5.23 E14 Hz strikes a photoemissive surface whose work function is 1.75 eV. Planck's constant is 4.14 E−15 eV*s. Calculate the energy of the photon. Calculate the maximum kinetic energy of the ejected photoelectron. Calculate the threshhold frequency for the material

Answers

The energy of the photon will be 2.1652 Joules and the maximum kinetic energy of the ejected photoelectron from the atom will be 0.415 Joules. The threshold frequency will be same as the frequency of incident photon.

What is the energy of a photon?

Photon energy is the energy which is carried by a single photon particle. The amount of energy is directly proportional to the photon's electromagnetic frequency and thus, it is inversely proportional to the wavelength of the photon. The higher the photon's frequency, the higher will be the energy.

Frequency = 5.23 × 10¹⁴ Hz

E = hf

h = 4.14 × 10⁻¹⁵

E = 4.14 × 10⁻¹⁵ × 5.23 × 10¹⁴

E = 21.652 × 10⁻¹

E = 2.1652 Joules

Maximum kinetic energy = hf - Ф

Ф is the work function

Max. KE = (4.14 × 10⁻¹⁵ ×  5.23 × 10¹⁴) - 1.75

Max. KE = 2.165 - 1.75

Max. KE = 0.415 Joules


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if two charges, both negative, are placed near each other, how would the field lines be drawn to represent their interaction?

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Contrasting charges attract each other whereas comparable charges repel one another. Therefore, a positive charge pulls a negative charge towards it, whereas two negative charges repel one another.

How are two negatively charged particles' electric fields able to interact with one another?

These two items will be forced apart by this repelling force. In a manner similar to this, a negatively charged item will reject another negatively charged object. Charges that attract one another are similar charges.

Positive and negative charges repel or attract one another when one is positive and the other is negative. Positive attraction will result when two particles with the same kind of charge are attracted to one another.

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i ned help quick pleaseeee

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The presidential elections in America take place every four years and Americans decide who will be the President for the next four years.

What is the procedure of elections in America?

Every four years on Election Day, American citizens vote for a new president.

During the primary election, people in each political party (e.g. Democrat and Republican) vote for a candidate to represent their party. The candidates who win the primary election for their political party go on to the general election.

During the general election, there is a popular vote and an Electoral College vote. First, the citizens vote for who they want to be president in the popular vote. Then, during the Electoral College vote, the electors vote for the president based on who won the popular vote.

The popular vote is "one person, one vote" whereas the Electoral College vote is "winner takes all." That means, if a candidate wins the majority of votes in the popular vote, that candidate wins the Electoral College votes.

If no candidate wins the majority of the electoral votes, the House of Representatives chooses the president.

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the range of possible frequencies of radiation is called the ______ spectrum.

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The range of possible frequencies of radiation is called the electromagnetic spectrum.

What is the electromagnetic spectrum and how is it classified?

The electromagnetic spectrum is the variety of all possible frequencies of electromagnetic radiation. This consists of radio waves, microwaves, infrared radiation, seen mild, ultraviolet radiation, X-rays, and gamma rays. The spectrum is classed based totally at the frequency and wavelength of the radiation, with each sort of radiation occupying a specific area of the spectrum. The class is primarily based on their capability to tour thru one of a kind substances and their interactions with matter. The distinct areas of the spectrum have an expansion of realistic applications, from conversation technology to medical imaging.

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questions: 1. if you want to measure voltage across on a resistor connected to a 5v dc power supply, which two jacks of the dmm should be used? where do you set the function/range knob? which voltage range should be selected? 2. if the current flowing in a circuit is about 60ma. where should the function/range knob be set at in order to measure the current? which two jacks of the dmm will be used? what range should be used?

Answers

The voltage range should be selected to be at least 5V or greater to ensure accurate measurement and with the DMM placed in series with the circuit.

To measure the voltage across a resistor connected to a 5V DC power supply, you should use the red and black jacks of the DMM, where the red jack is connected to the positive side of the resistor and the blackjack is connected to the negative side. The function/range knob should be set to measure DC voltage (V~), and the voltage range should be selected to be at least 5V or greater to ensure accurate measurement.

If the current flowing in a circuit is about 60mA, the function/range knob should be set to measure DC current (A) and the range should be selected to be at least 200mA or greater to ensure accurate measurement. The two jacks of the DMM used, in this case, will be the red and black jacks, where the red jack is connected to the positive side of the circuit and the blackjack is connected to the negative side, with the DMM placed in series with the circuit.

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Based on what you learned about light, select all of the correct statements from the following list.
Light can act both as a wave and a particle.
High frequency photons carry more energy than long wavelength photons.
All electromagnetic waves travel at the speed of light.
A photon is a particle of light.

Answers

All of the statements are correct:

Light can act both as a wave and a particle, depending on the situation.High-frequency photons carry more energy than long wavelength photons.All electromagnetic waves travel at the speed of light.A photon is a particle of light.

What are electromagnetic waves?

A form of energy that moves through space at the speed of light is electromagnetic waves. They are produced by the motion of magnetic and electric fields that are parallel to the direction of wave propagation and to each other.

The wavelength or frequency of electromagnetic waves, which determines their energy and other characteristics, is used to categorize them. All forms of electromagnetic radiation, from low-energy radio waves to high-energy gamma rays, are included in the electromagnetic spectrum.

Many commonplace technologies, such as radio and television broadcasting, cell phones, GPS, and medical imaging, depend on electromagnetic waves. As they are employed to investigate far-off stars, galaxies, and other celestial objects, they also play a critical part in our understanding of the universe.

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All statements  are correct:

Light can act both as a wave and a particle.

High frequency photons carry more energy than long wavelength photons.

All electromagnetic waves travel at the speed of light.

A photon is a particle of light.

What are electromagnetic waves?

A form of energy that moves through space at the speed of light is electromagnetic waves. They are produced by the motion of magnetic and electric fields that are parallel to the direction of wave propagation and to each other.

The wavelength or frequency of electromagnetic waves, which determines their energy and other characteristics, is used to categorize them. All forms of electromagnetic radiation, from low-energy radio waves to high-energy gamma rays, are included in the electromagnetic spectrum.

Many commonplace technologies, such as radio and television broadcasting, cell phones, GPS, and medical imaging, depend on electromagnetic waves. As they are employed to investigate far-off stars, galaxies, and other celestial objects, they also play a critical part in our understanding of the universe.

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explains why applying a force to a baseball with your arm can cause the baseball to accelerate from rest to the speed at which it leaves your hand.

Answers

When you apply a force to the baseball with your arm, it causes the baseball to accelerate.

What is accelerate?

Accelerate is the process of increasing or speeding up the rate of speed or rate of change of something. It is a term used in various contexts and can refer to a variety of activities, from speeding up a car on a highway to boosting the growth rate of a company. In physics, acceleration is the rate of change of velocity over time, and is the second derivative of displacement with respect to time. Acceleration can be negative or positive, depending on whether the speed is decreasing or increasing. It is commonly measured in meters per second squared (m/s2).

This is because a force is a push or pull on an object that causes it to move or change speed or direction. The force you apply to the baseball causes it to accelerate from rest to the speed at which it leaves your hand. This is because when an unbalanced force is applied to an object, it causes the object to accelerate in the direction of the force. The greater the force you apply, the faster and farther the baseball will travel.

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How do electronegativity values help us determine the charge?

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Electrons in a polar covalent bond are moved towards the more electronegative atom; consequently, the atom with the partial negative charge is the more electronegative atom. The bigger the electronegativity difference, the more polarized the electron distribution and the larger the atoms' partial charges.

The electronegativities of the elements can be used to forecast the sort of bond that will form between two elements. Large variances in electronegativity produce ionic bonds, whereas lesser differences produce covalent bonds. A formal charge and electronegativity criterion can be used to assess the relative contribution of non-equivalent resonance structures. Negative formal charge should preferentially dwell on more electronegative atoms, whereas positive formal charge is more easily carried by fewer electronegative atoms. The capacity of an atom to attract shared electrons in a covalent connection is referred to as electronegativity. The greater the electronegativity value, the more strongly that element draws the shared electrons.

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which is a good description of kinetic energy?(1 point) responses stored energy stored energy energy from the sun energy from the sun conserved energy conserved energy energy of motion

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The force that drives motion is kinetic energy. It is the energy a thing possesses as a result of movement. It is the energy that a moving item possesses as a result of its direction and speed.

What  is kinetic energy?

Kinetic energy is the force that propels motion. It's the energy that an object has because it's moving. Kinetic energy can be exchanged between objects or transformed into other types of energy, such as heat or potential energy. The kinetic energy is affected by the object's mass and speed. The kinetic energy of an object increases with speed.

From the mobility of atomic particles to the movement of things in space, kinetic energy is a crucial component in many branches of physics.

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dmv if you lose control of your vehicle and collide with a fixed object, such as a tree, at 60 m.p.h., the force of impact is the same as driving your vehicle off a:

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If you lose control of your vehicle and collide with a fixed object, such as a tree, at 60 m.p.h., the force of impact is the same as driving your vehicle off a cliff and falling 127 feet.

When a vehicle collides with a fixed object at high speed, the kinetic energy of the vehicle is transferred into other forms of energy such as deformation of the car, sound, heat, and kinetic energy of the object struck. This transfer of energy can cause a significant amount of damage to the vehicle and the passengers.

According to the National Highway Traffic Safety Administration (NHTSA), a 60 mph collision with a fixed object is equivalent to a fall from a height of 127 feet. This is because the force of impact is the same as that produced by a free fall from a height of 127 feet, which is about 39 meters. This emphasizes the importance of safe driving practices and adhering to traffic regulations to prevent such accidents from occurring.

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The complete question is-

If you lose control of your vehicle and collide with a fixed object, such as a tree, at 60 m.p.h., the force of impact is the same as driving your vehicle off a: _________.

Worth 50 points, please answer quick.
A snowboarder stands at the edge of a 4.50 m high half-pipe. The mass of the snowboarder is 55.0 kg. What is the gravitational potential energy of the snowboarder?

Answers

Answer:

he gravitational potential energy of the snowboarder is 2532.5 J.

Explanation:

The gravitational potential energy of an object is given by the formula:

PE = mgh

where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object.

In this case, the mass of the snowboarder is 55.0 kg, the acceleration due to gravity is 9.8 m/s^2, and the height of the snowboarder is 4.50 m. So, the gravitational potential energy of the snowboarder can be calculated as:

PE = (55.0 kg)(9.8 m/s^2)(4.50 m) = 2532.5 J

So, the gravitational potential energy of the snowboarder is 2532.5 J.

Answer:

2425.5 J

Explanation:

The gravitational potential energy of an object can be calculated using the formula:

PE = m * g * h

where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity (9.8 m/s^2 on the surface of the Earth), and h is the height of the object above a reference point.

Plugging in the values, we get:

PE = 55.0 kg * 9.8 m/s^2 * 4.50 m = 2425.5 J

So the gravitational potential energy of the snowboarder is 2425.5 J (joules).

Convert 35. 9 Celsius to Fahrenheit (35. 9 °C to °F)

Answers

Celsius is a temperature measurement unit that is used to show a degree of uncertainty or inaccuracy between any two temperature values. The average body temperature of an adult is 96.7oF on this scale.

What is the parameter for converting Celsius to Fahrenheit?

The change from C to F is therefore 100/180, or 5/9. It is 180/100 or 9/5 from F to C. As a result, the conversion yields °F = °C (9/5) + 32. As a result, the equation for changing from the Celsius to Fahrenheit scale becomes °F = °C (9/5) + 32.

When measuring the temperature of air, Fahrenheit produces more accurate results. In comparison to other temperature measures, it is more susceptible to atmospheric and meteorological variations.

The lower end of the scale, 32oF, corresponds to the point at which water freezes or ice melts.

[tex]\frac{5}{9}\times 35.9 (Degrees Celsius) + 32 = 96.62 Degrees Fahrenheit.[/tex]

Therefore, 96.62-degree Fahrenheit.

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what is the azimuth of an object that is ten degrees south of east?

Answers

Azimuth is the angle measured from the horizon's north or south pole to the bottom of the vertical circle around a celestial body. The star's azimuth is 180 degrees if it is south of the zenith and facing south. The star's altitude is 90-10 = 80° if it is 10° from the zenith. Because the sky appears to change from East to West as the Earth spins, you do need to let your companions know what time it is.

Azimuth is the angle measured from the horizon's north or south pole to the bottom of the vertical circle around a celestial body. A horizontal direction's azimuth is defined as how much it deviates from north or south. heavenly coordinates, a group of numbers used to identify where in the sky (sometimes called the celestial sphere) a celestial object is located. The horizon system (altitude and azimuth), galactic coordinates, the ecliptic system (measured relative to the orbital plane of Earth), and the equatorial system are among the coordinate systems utilized (right ascension and declination, directly analogous to terrestrial latitude and longitude).

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You throw a rock horizontally off a cliff that’s 90 m high. How long will it take the rock to hit the ground?

Answers

The rock will take approximately 4.43 seconds to hit the ground. This is calculated using the equation for projectile motion, which states that the time taken for a projectile to hit the ground is equal to the square root of two times the height divided by the acceleration due to gravity. In this case, the time taken is equal to the square root of two times 90 meters divided by 9.8 meters/second2, which is equal to 4.43 seconds.

how much work is done when a hoist lifts a 200-kg rock to a height of 3 m? (use 9.8 m/s2 for the acceleration due to gravity.)

Answers

The work done by the hoist to lift the 200-kg rock to a height of 3 meters is 5880 joules, assuming an acceleration due to gravity of 9.8 m/s^2 and no angle between the force and direction of motion.

What is acceleration due to gravity?

Acceleration due to gravity is a physical constant that describes the acceleration experienced by objects near the Earth's surface due to the force of gravity. The acceleration due to gravity is denoted by the symbol "g" and has a numerical value of approximately 9.8 meters per second squared (m/s^2) at sea level. This means that if an object is dropped from a height of, say, 10 meters, it will accelerate towards the Earth's surface at a rate of approximately 9.8 m/s^2. The acceleration due to gravity is a vector quantity, which means it has both magnitude and direction. Its direction is always towards the center of the Earth.

The work done by the hoist to lift the rock can be calculated using the formula:

Work = force x distance x cos(theta)

where force is the upward force exerted by the hoist on the rock, distance is the vertical distance lifted, and theta is the angle between the force and the direction of motion.

In this case, the force is equal to the weight of the rock, which is given by:

force = mass x acceleration due to gravity

= 200 kg x 9.8 m/s^2 = 1960 N

The distance lifted is 3 meters, and the angle between the force and the direction of motion is 0 degrees, since the force is directly upward and the motion is also upward.

Therefore, the work done by the hoist is:

Work = 1960 N x 3 m x cos(0) = 5880 J

So the hoist does 5880 joules of work to lift the 200-kg rock to a height of 3 meters.

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the international space station travels at 25,000 km/hr. how long would it take an object traveling that speed to go from earth to the sun?

Answers

It would take an object traveling at 25,000 km/hr approximately 5,984,000 hours, or 249,333 days, or 683 years to travel from Earth to the Sun.

What is the distance of sun from earth?

The distance between the Sun and the Earth is constantly changing as the Earth orbits the Sun in an elliptical path. On average, the distance from the Earth to the Sun is approximately 93 million miles (149.6 million kilometers).

The distance from Earth to the Sun is approximately 149.6 million kilometers. To calculate the time, it would take an object traveling at 25,000 km/hr to travel this distance, we can use the formula:

time = distance / speed

where distance is the distance from Earth to the Sun, and speed is the speed of the object in kilometers per hour.

Plugging in the values, we get:

time = 149.6 million km / 25,000 km/hr

Simplifying this expression, we get:

time = 5,984,000 hours.

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