7. A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground.
a. Determine the kinetic energy possessed by the skydiver.
b. Determine the potential energy possessed by the skydiver.
Determine the total mechanical energy possessed by the skydiver.
timore City Public fab

The formula for calculating magnitude is  |v| =√(x2 + y2)

A vector formula's magnitude can be used to condense the numerical value of a particular vector. A vector has a magnitude and a direction. This magnitude of a vector formula provides a summary of the individual vector measurements along the x, y, and z axes. The symbol for it is |v|.

|v| =(x2 + y2) is the formula to calculate the magnitude of a vector (in two dimensions) v = (x, y). The Pythagorean theorem serves as the basis for this formula.

|V| = (x2 + y2 + z2) is the formula to calculate the magnitude of a vector (in three-dimensional space) V = (x, y, z).

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Answer:

100 N

Explanation:

For ONE bullet ( .025 kg)

 fired to 1000 m/s   in  .25 s   ( four per second)

     acceleration = 1000 m/s   /  .25 s = 4000 m/s^2

then F = ma

           = .025 kg * 4000 m/s^2 = 100 N

The specific heat capacity of the substance is 444 J/kg.°C.

The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases 1 K (or 1 °C).

To calculate the specific heat capacity of the substance, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the specific heat capacity is 444 J/kg.°C.

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This means that the ball does not have any velocity when it is at the spring's equilibrium position.

Equilibrium is a state of balance where opposing forces or influences are equal and balanced. It is a situation where there is no tendency for change in a system. Equilibrium can be reached in a variety of situations in economics, physics, chemistry, biology, and other fields. In economics, equilibrium is the state at which the market prices of goods and services are stable and consistent with the amount of goods and services that are being supplied and demanded. In physics, equilibrium is a state where all forces acting on an object are balanced and no net force is present. In chemistry, equilibrium is a state where the rates of the forward and reverse reactions of a chemical reaction are equal. In biology, equilibrium is a situation where the forces of natural selection are balanced and no net change in the genetic composition of a population is observed.

The muzzle velocity of the ball can be calculated using the equation v = √2gy,
Where v is the velocity of the ball, g is the acceleration due to gravity, and y is the height of the spring's equilibrium position.
In this case, the muzzle velocity of the ball is equal to √2g*0, or 0 m/s, since the spring's equilibrium position is at y=0.
This means that the ball does not have any velocity when it is at the spring's equilibrium position.

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The average speed they need to drive is around 5.64 miles per hour. The result is obtained by dividing the total distance by the total time taken.

Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as

Avg speed = Total distance covered / Total time taken

Mr. and Mrs Ozawa are driving 496 miles away. The time they want to get there is 88 hours.

Find the average speed they need to drive!

We have

We would get

Avg speed = Total distance covered / Total time taken

Avg speed = 496 miles / 88 hours

Avg speed = 5.64 miles per hour

Hence, they need to drive with the average speed at around 5.64 mph.

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HEV (Hybrid Electric Vehicle) configuration is a type of vehicle powertrain that combines a traditional internal combustion engine (ICE) with an electric motor.

HEV technology uses a battery to store electricity generated from the ICE, which is then used to power the electric motor when needed.

This can result in improved fuel efficiency and reduced emissions compared to conventional ICE vehicles.

Additionally, HEV configurations can often provide enhanced performance due to the combination of ICE and electric power.

HEV (Hybrid Electric Vehicle) configuration is a technology that combines a conventional internal combustion engine with an electric motor. This hybrid system is designed to provide improved fuel efficiency and reduce emissions.

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Motion is created by kinetic energy. K.E. = 1/2 mv2 can be used to calculate an object's kinetic energy.

Motion is the change in an object's location with relation to time. Motion is described mathematically using terms like displacement, velocity, distance, kinetic energy, and speed.

Kinetic energy is essentially the energy underlying motion and can be observed in the movement of objects or subatomic particles. Every atom or object in motion contains kinetic energy.

A human walking, a baseball flying through the air, food falling from a desk, and an alpha object in an electric field are all example of kinetic in action.

The equation for calculating the angular momentum of an object with mass m and motion is K.E. = 1/2 mv^2.

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Answer: 12,100 Joules of Kinetic Energy

Explanation:

Kinetic energy is a measure of how much energy something has because it's moving. To calculate the kinetic energy of a bike, you need to know how heavy it is and how fast it's going. We use a formula that looks like this:

(1/2) x the weight of the bike (in kilograms) x the speed of the bike (in meters per second) x the speed of the bike (in meters per second)

So if we have a bike that weighs 25 kilograms and is going 22 meters per second, we can plug those numbers into the formula like this:

(1/2) x 25 x 22 x 22

And we find out that the bike has 12,100 Joules of kinetic energy.

The mistake that Kamala made from the table is that Gamma rays should have a very high frequency, not a very low frequency.

The grouping of electromagnetic radiations in the electromagnetic spectrum is done according to diminishing or increasing frequency or wavelength.

The following are some examples of electromagnetic radiations depending on increasing wavelength:

These are the radiation waves produced by the radioactive disintegration of atomic nuclei.

These rays have high frequencies. The frequency happens 1019 times every second.

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Answer:  gamma rays should have a very high frequency, not a very low frequency.

Explanation:

The ball continues to fall, its kinetic energy will increase.

Kinetic energy is the energy an object possesses due to its motion. It is the energy associated with an object’s speed and mass, and is the energy that an object has because of its movement. Kinetic energy can be converted into other forms of energy, such as heat, light, or sound. It can also be used to do work, such as moving objects or powering machines. Kinetic energy is a form of mechanical energy, which is energy that is associated with the motion or position of an object. Kinetic energy is related to the work done on an object, and it increases as the object’s speed increases. Kinetic energy can be calculated using the formula KE = ½mv2, where m is the mass of the object and v is the velocity of the object.

The kinetic energy of the ball will increase as it falls, because it is gaining speed due to gravity.
As it falls, it accelerates at a rate of 9.8 m/s^2, and its kinetic energy is equal to its mass multiplied by the square of its velocity.
Therefore, as the ball continues to fall, its kinetic energy will increase.

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40 m/s

We have the equation of motion v^2-u^2= 2as ------------- ( i)

where v = final velocity which is unknown let it be x m/s

u = initial velocity which is 0 m/s ...( The body starts from rest )

a = Acceleration gained by body = 8 m/s^2

s stands for distance covered in till v velocity which is 100 meters.

So by using equation( i)

So the velocity of the body will be 40 m/s when it had a covered distance of 100 meters.

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a) The relative atomic mass is 122.35 amu

b) The Rutherford model introduced the planetary model

c) The percentage abundance shows how much of that mass is present.

We have to know that as what we need here is the relative atomic mass of the element X then we must have to be able to look at the weighted average of all the isotopes that have been shown to belong to the element that is in question called X.

Thus we would have;

(121 * 0.432) + (123 * 0.531) + (129 * 0.037)

= 52.27 + 65.31 + 4.773

= 122.35 amu

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Answer:

3

Explanation:

seems more reasonable because of the fact that the other moon is on the other gravitational pull because of the outer ring and are the exact opposite sides

The wind on Jupiter planet can blow up to 1,500 miles per hour.

A planet is a large celestial body that orbits a star, usually a sun, and has its own gravity. Planets are classified by size, composition, and distance from the star. They are made up of rock, metal, or gas and can contain an atmosphere. Planets can have satellites, or moons, which orbit them. They can also have asteroids, comets, and other objects around them. Some planets have rings, like Saturn, and some have many moons, like Jupiter. Planets are fascinating to study and explore.

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The gravitational potential energy of the bowling ball is 7,056 J.

The gravitational potential energy of the bowling ball is calculated by applying the following formula;

P.E = mgh

where;

P.E = ( 6kg x 9.8 m/s² x 120 m )

P.E = 7,056 J

Thus, the gravitational potential energy of the bowling ball is the energy possessed by the ball due to its height above the ground level.

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Answer:

Magnetic energy can be transformed into kinetic energy in a variety of ways.

Explanation:

One way that this occurs is through electromagnetic induction. This occurs when a changing magnetic field induces an electric current in a conductor, such as a wire. This induced current creates a force that can move the conductor, thus transforming the magnetic energy into kinetic energy. This process is used in electric generators, which convert the kinetic energy of a turbine into electrical energy by turning a coil of wire inside a magnetic field.

Another way that magnetic energy can be transformed into kinetic energy is through the operation of an electric motor. An electric motor uses the interaction between a magnetic field and an electric current to create a force that can rotate a shaft, thus transforming the electrical energy into kinetic energy. Electric motors are used in a wide range of applications, including transportation, manufacturing, and household appliances.

Magnetic energy can also be transformed into kinetic energy through magnetohydrodynamics (MHD), which involves the interaction of a fluid with a magnetic field. When a fluid such as a gas or liquid moves through a magnetic field, it can generate a force that can propel the fluid, thus transforming the magnetic energy into kinetic energy. This process is used in some forms of propulsion, including maglev trains and MHD generators.

In summary, magnetic energy can be transformed into kinetic energy through the interaction of a magnetic field with a conductor, an electric current, or a fluid, which creates a force that can move an object, thus transforming the magnetic energy into kinetic energy.

Answer:

To solve for the voltage drop at V₁, we can use Ohm's law, which states that the voltage drop across a resistor (V) is equal to the current (I) flowing through it multiplied by the resistance (R) of the resistor.

V = I * R

The information given in the question is as follows:

VT = 101.00 V

T = Unknown

R₁ = Unknown

V₁= Unknown

I₁=Unknown

R₂= Unknown

V₂= 33.00 V

I₂ = 12.00 Amperes

R₂ = Unknown

V₃ = 37.00 V

I₃ = 13.00 Amperes

R₃ = 12.00 Ohms

The first step is to calculate the current flowing through the circuit by using the formula Power= Voltage * Current

P = VT

I = P/VT = 101/101 = 1 Amperes

Now we can use Ohm's Law to find the voltage drop across R1:

V₁ = I * R₁ = 1 * R₁

To find the resistance of R1, we can use the formula:

T = V₁ + V₂ + V₃

R₁ = (T - V₂ - V₃) / I

Substituting the values,

101 = V₁ + 33 + 37

V₁ = (101 - 33 - 37) = 31 Volts

So, the voltage drop at V₁, which is the voltage drop at resistor one, is 31 Volts.

Explanation:

Nuclei of H1 and nuclei of H2 are the only stable nuclei oh hydrogen.

Hydrogen is the first and most basic of all elements in the universe.

Radiation is spontaneously emitted from nuclei of H3 because this isotope of hydrogen is highly radioactive as compared to other isotopes of hydrogen namely; nuclei of H1 and nuclei of H2.

The nucleus of H3 also called as tritium contains one proton and two neutrons, while the nucleus of the common isotope H-1 (protium) contains one proton and zero neutrons, and the nucleus of H-2 (deuterium) contains one proton and one neutron.

Therefore H1 and H2 have much stable nucleus as compared to nuclei of H3.

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According to the question The Answer is F = 7.008 x 10^-8 N. Because every item in the cosmos that has mass pulls on every other object with a gravitational force, there is a gravitational force.

The gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity

The Newton's Law of Universal Gravitation According to Isaac Newton, the gravitational pull between any two objects is inversely proportional to the square of their separation (r) and is directly related to their respective masses (m 1 and m 2). The formula is

F g = G m 1 m 2/ r 2.

G is the universal gravitational constant in this equation.

G = 6.67 × 10 − 11 N ⋅ m 2 / k g 2 .

This is based on the assumption that two people are "standing" 2 meters apart in outer space, free from any other substantial gravitational forces.

F = Gm1m2/r^2

where r is the distance between the centers of mass.

G = 6.6743 × 10^-11 m^3•kg^-1•s^-2 (N•m^2•kg^-2)

m1 = 60 kg

m2 = 70 kg

r = 2 m

F = 6.6743 x 10^-11 N•m^2 kg^-2•(60•70) kg^2/ (2 m)^2

F = 7.008 x 10^-8 N

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Answer:  38000N

Explanation:

Movement -> inertia -> force -> rate of change of momentum

Momentum = mv

                   = mass x velocity

                   = 2000 x 19

                   = 38000N

Answer:

38,000 kg·m/s

Explanation:

Did you mean "momentum"?  If so, here is the solution:

Momentum = p = mv = (2000 kg)(19 m/s) = 38,000 kg·m/s

The actual velocity of the boat is 13.0 mi/hr at an angle 67.38° north-west respect to south bank.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

The actual velocity of the boat = √(12.0²+5.0²) mi/hr = 13.0 mi/hr.

The direction of the velocity of the boat w.r.t south bank = tan⁻¹(12/5) = 67.38⁰.

Hence, The actual velocity of the boat is 13.0 mi/hr at an angle 67.38° north-west respect to south bank.

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Answer:

Range formula:

R = V^2 sin 2θ / g

sin 2θ = R g / V^2 = 80 m * 9.80 m/s^2 / (30 m/s)^2 = .871

2θ = 60.6 deg

θ = 30.3 deg

Check:     30 * cos 30.3 = 25.9 m/s       horizontal speed

t = 80 m / 25.9 m/s = 3.08 sec        to reach target

H = Vy0 t - 1/2 g t^2

Vy0 = 30 * sin 30.3 = 15.1 m/s     initial vertical speed

H = 15.1 * 3.08 - 4.9 * 3.08^2 = 46.5 - 46.5 = 0    

Ball will be back at starting height after 3.08 s

The sound waves become louder and more frequent as a police car approaches a person on the street. This person notices the siren's pitch rising. The sound waves become less frequent as they spread apart and accelerate away from the police car.

Therefore, even though the siren emits waves with a constant frequency, as it gets closer to us, the observed frequency rises and we hear a higher pitch. The observed frequency and pitch decrease as it moves away after passing us.

A police car's siren has a pure tone and operates at a frequency of 1125 Hz.

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Answer:

You need to plug in the values

(C) 100(-1/2)^0 = 100

100(-1/2) = -50

100(-1/2)^2 = -25

100(-1/2)^3 = 100 * -1/8 = -12.5

The rock gains 412 J of kinetic energy as it falls.

What is a kinetic example?

Any moving item uses kinetic energy, such as a person walking, a baseball being thrown, a piece of food falling from the a table, or a charged particle inside an electric field.

What makes it kinetic energy?

Describe kinetic energy. A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is performed on it by exerting a net force.

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Lupus is a kind of disease in which the bodies immune system attacks its own cells.

We know that the immune system is the system that is in the body that is able to fight off the invaders that come into the body. As such, the immune system is the system that attacks any disease causing organism that comes into the body.

We know that foreign cells can be able to cause diseases in the body and they can be able to affect the balance of the cells that are in the body. Now, we can see that there are some circumstances in which the cells of the body begins to fight themselves.

This implies that the immune system of the body sees its own cells as the enemies and then begins to attack them and as such the person that has this condition is said to have an auto immune disorder.

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The velocity of the smaller marble after collision is -0.33 m/s.

Velocity is the rate of change of displacement.

To calculate the velocity of the smaller marble after collision, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values inton equation 1

Hence, the smaller marble take off at -0.33 m/s.

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When three objects with a mass of M exert gravitation forces on each other, the direction of the net force on mass B will vary according to position of three masses.

The force of attraction between any two bodies is known as gravitation. There is an attraction between every thing in the cosmos, but most of the time it is too faint to be noticed due to the extreme distance between the objects.

Along the line connecting the centers of the two bodies, the gravitational force acts. Hence,  the direction of the net force on mass B will vary according to position of three masses.

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Answer:

Explanation:

3km