A 25kg bike has 10250J of kinetic energy, how fast is it going?

Copernican heliocentrism was a novel concept that fundamentally altered the geocentric view of the universe.

The father of modern astronomy is Nicolaus Copernicus, a Polish astronomer and mathematician. The heliocentric hypothesis of the solar system, which he initially put forth, states that Earth and other planets rotate around the sun.

Nicolaus Copernicus created the Copernican heliocentrism astronomical theory, which was first presented in print in 1543. This theory put the Sun in the center of the cosmos, stationary, and had Earth and the other planets orbit it at uniform speeds in circular orbits modified by epicycles.

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The instrument commonly used to measure the mass of an object is a scale or a balance.

Mass is the measure of the amount of matter an object contains. This amount of matter in an object is typically measured in grams (g), kilograms (kg), ounces (oz), or pounds (lbs). The mass of an object is different from its weight, which is the force of gravity acting on an object with mass. Mass is a fundamental property of matter. It is a scalar quantity that describes the amount of matter in an object. The SI unit for mass is the kilogram (kg).

Mass can be measured using a variety of instruments including balances, scales, and mass spectrometers. A balance is an instrument that compares the mass of an object with a known mass, usually calibrated in grams or kilograms. A scale is an instrument that measures weight or mass by means of a spring or a set of calibrated weights. Mass spectrometry is a technique that is used to measure the mass of molecules or atoms by measuring the mass-to-charge ratio of ions. The mass spectrometer is an instrument that is used to perform mass spectrometry. Thus, the instrument used to measure the mass of an object is a scale.

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The correct answer is "a and b above."

Galileo's telescopic discovery of moons orbiting Jupiter was important because it showed that:

Galileo Galilei's telescopic discovery of moons orbiting Jupiter was a significant achievement in the field of astronomy. In 1610, Galileo observed Jupiter using a telescope he had constructed himself. Through his observations, he noticed that there were four small points of light near Jupiter that appeared to change their position relative to the planet over time.

Galileo carefully tracked the positions of these celestial objects over several nights and realized that they were not fixed stars but rather moons orbiting Jupiter. These moons came to be known as the Galilean moons in his honor. The four Galilean moons are Io, Europa, Ganymede, and Callisto

a) The universe could contain centers of motion other than Earth: Galileo's observation of moons orbiting Jupiter demonstrated that celestial bodies could have their own centers of motion, challenging the geocentric model that placed Earth at the center of the universe.

b) Earth might move along an orbit and not leave the moon behind: By observing the moons orbiting Jupiter, Galileo provided evidence that objects in space could be in motion while still maintaining their relationship with another body. This supported the idea that Earth could also be in motion while orbiting the Sun and not leaving the Moon behind.

Both options "a" and "b" are correct, indicating that Galileo's discovery of Jupiter's moons had profound implications for our understanding of the universe and the motion of celestial bodies.

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Answer:33.75m

Explanation: If you are throwing a rock down a cliff with a speed of 7.50m/s and it reached the ground in 4.50 seconds the height of the cliff will be 33.75m because 7.50m/s x 4.50s = 33.75

Answer:

Approximately \(6.5 \times 10^{2}\; {\rm N\cdot m^{-1}}\) (assuming that \(g = 9.8\; {\rm m\cdot s^{-2}}\) and that the spring is ideal.)

Explanation:

If the elastic cable is ideal, Hooke's Law would apply. Let \(k\) denote the spring constant of the cable. At a displacement of \(x\) from the equilibrium position of the spring, the elastic potential energy stored in the cables would be \((1/2)\, k\, x^{2}\).

In this question, the initial displacement from the equilibrium position was \(x = 30.0\; {\rm m}\). Assuming that there is no energy loss, all the elastic energy stored in the cables would be turned into gravitational potential energy (\({\rm GPE}\))

Let \(m\) denote the mass of the passenger and the chair, combined. Let \(g\) denote the gravitational field strength. If the altitude gain of the passenger and the chair is \(h\), the \({\rm GPE}\) of the passenger and the chair combined would be \(m\, g\, h\).

The entirety of the \({\rm GPE}\) of the passenger and the chair was converted from the elastic potential energy initially stored in the cables. There was no energy lost. Therefore, the following would be an equality:

\(\displaystyle \frac{1}{2}\, k \, x^{2} = m\, g\, h\).

It is given that \(x = 12.0\; {\rm m}\), \(m = 1.6 \times 10^{2}\; {\rm kg}\), and \(h = 30.0\; {\rm m}\) (relative to the starting position of the passenger and the chair, with the cables already stretched.) Assuming that \(g = 9.8\; {\rm m\cdot s^{-2}}\), substitute in the values and solve for the spring constant \(k\):

\(\begin{aligned}k &= \frac{2\, m\, g\, h}{x^{2}} \\ &= \frac{2 \times 1.6\times 10^{2}\; {\rm kg} \times 9.8\; {\rm m\cdot s^{-2}} \times 30.0\; {\rm m}}{(12.0\; {\rm m})^{2}} \\ &\approx 6.5 \times 10^{2}\; {\rm kg \cdot s^{-2}} \\ &= 6.5 \times 10^{2}\; {\rm (kg \cdot m \cdot s^{-2}) \cdot m^{-1}} \\ &= 6.5\times 10^{2}\; {\rm N \cdot m^{-1}}\end{aligned}\).

Answer:

2000

Explanation:

workdone=F×D

mg×h

u=0

d=100

a=15

m=2

=2×10×100

=2000

Answer:

0.096 miles

Explanation:

0.008 mi/hr x 12(total amount of hours)

A moure is eating cheese 309 meters from a sleeping cat. When the cat wakns up, the mouse immediately starts running away from the cat with a constant velocity of 1.29 mis. The cat immediately starts chasing the mouse with a constant velocity of 4.23 m/s.The cat catches the mouse approximately 0.92 seconds after they start running. The cat has to run approximately 1.19 meters to catch the mouse.

To solve this problem, we can use the formula:

Time = Distance / Velocity

Let's calculate the time it takes for the cat to catch the mouse:

   Time for the mouse to start running away from the cat:

   Distance = 309 meters

   Velocity = 1.29 m/s

Time = Distance / Velocity

Time = 309 meters / 1.29 m/s

Time ≈ 239.53 seconds

   Time for the cat to catch the mouse:

   Velocity (cat) = 4.23 m/s

Time = Distance / Velocity

Time = 3.89 meters / 4.23 m/s

Time ≈ 0.92 seconds

Therefore, the cat catches the mouse approximately 0.92 seconds after they start running.

Now, let's calculate the distance the cat has to run to catch the mouse:

Distance = Velocity (mouse) × Time

Distance = 1.29 m/s × 0.92 seconds

Distance ≈ 1.19 meters

Therefore, the cat has to run approximately 1.19 meters to catch the mouse.

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The molar mass of a compound can be found by adding the molar masses of all of the atoms in the compound.

The molar mass of an atom can be found on the periodic table by looking at the atomic mass listed for that element.

For example, to find the molar mass of water (H2O), we would add the molar masses of two hydrogen atoms (2 x 1.01 g/mol) and one oxygen atom (16.00 g/mol) to get a total molar mass of 18.02 g/mol.

Another way is by finding the molecular formula of the compound, it can be done by analyzing the compound's chemical and physical properties and then using the mass spectrometer to determine the molecular weight.

In conclusion, the molar mass of a compound can be found by adding the molar masses of the atoms in the compound using the atomic masses listed on the periodic table, or by determining the molecular formula of the compound and using a mass spectrometer to find the molecular weight.

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The acceleration of the car is \(11.63 m/s^2.\) The force produced by the car is 4,876.4 Newtons.

To find the acceleration of the car, we can use the formula:

acceleration = (final velocity - initial velocity) / time

In this case, the initial velocity is 0 m/s, the final velocity is 50 m/s, and the time is 4.3 s. Substituting these values into the formula, we get:

acceleration = (50 m/s - 0 m/s) / 4.3 s =\(11.63 m/s^2\)

Therefore, the acceleration of the car is\(11.63 m/s^2.\)

To find the force produced by the car, we can use Newton's second law of motion, which states that force is equal to mass times acceleration:

force = mass x acceleration

In this case, the mass of the car is 420 kg, and the acceleration is 11.63 m/s^2. Substituting these values into the formula, we get:

\(force = 420 kg \times 11.63 m/s^2 = 4,876.4 N\)

Therefore, the force produced by the car is 4,876.4 Newtons.

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The maximum weight that can be lifted by the balloon is 0.004774 slugs. The volume of the ordinary, helium-filled balloon is 2.2 ft³ and air density is 0.002377 slug/ft³. The molecular weight of air is 28.8 and that of helium is 4, and the pressure in the balloon is at the same pressure as exists in the surrounding air.To calculate the maximum weight that can be lifted by the balloon, we use Archimedes' principle.

Let's first calculate the weight of the air displaced by the balloon. Air density is given as 0.002377 slug/ft³ and the volume of the balloon is 2.2 ft³. Hence, the weight of the air displaced by the balloon will be: Weight of air, w = volume × density× gwhere, g = acceleration due to gravity= 32.2 ft/s². The weight of the air displaced by the balloon is: w = 2.2 ft³ × 0.002377 slug/ft³ × 32.2 ft/s²w = 0.1538 slug

Now, to calculate the maximum weight that can be lifted by the balloon, we need to calculate the lift force, which is equal to the weight of air displaced by the balloon.The lifting force on the balloon is:F = w = 0.1538 slugNow, the mass that the balloon can lift is given by: Mass lifted, m = F/gwhere, g = acceleration due to gravity= 32.2 ft/s²So, the maximum weight that can be lifted by the balloon is:m = 0.1538 slug/32.2 ft/s² = 0.004774 slugsThe maximum weight that can be lifted by the balloon is 0.004774 slugs. According to Archimedes' principle, the upward force on the balloon is equal to the weight of the air displaced by the balloon. The lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon, i.e.,lift force, F = weight of air displaced by the balloon.

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Answer:

Just use the formulas

Force = kq1q2/r^2

Field = kq/r^2

V = ir

p = I^2r

p = vi

p = v^2/r

q = i*T

where K is the permittivity of free space

According to the question the horizontal displacement of the kite is 171.18 m.

Horizontal displacement is a vector quantity that measures the distance between two points on a given plane. It is the shortest distance between the two points, measured along a horizontal line. Horizontal displacement is also known as lateral displacement, or simply displacement. It is often represented with the symbol x, and is calculated by subtracting the initial point from the final point.

tan(40°) = Opposite side / Adjacent side
We know that the opposite side is 120 m (the total amount of string reeled in) and the adjacent side is equal to the horizontal displacement. Solving for the horizontal displacement yields:
Horizontal displacement = 120 m / tan(40°) = 171.18 m
Therefore, the horizontal displacement of the kite is 171.18 m.

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24,576.11 joules work is done lifting a 35 pound object from the ground to the top of a 45 foot building if the cable used weighs 2 pounds per foot.

The work done while lifting a 35 pound object from the ground to the top of a 45-foot building using a 2-pound per foot cable can be determined by calculating the potential energy of the object at the top of the building.

The potential energy of an object is given by the formula;

Potential Energy = mgh

where m is the mass of the object in kilograms,

g is the acceleration due to gravity which is approximately 9.81 m/s², and

h is the height of the building in meters.

To begin, the 35-pound object needs to be converted to kilograms as follows:

1 pound = 0.45359237 kilograms

Therefore, 35 pounds = 35 x 0.45359237 = 15.875198 kg

The cable weighs 2 pounds per foot, and the height of the building is 45 feet.

Therefore, the total weight of the cable is:

2 pounds per foot x 45 feet = 90 pounds or 40.82331 kg

The total mass, M, of the object and the cable can be found by adding the mass of the object, m, to the mass of the cable,

C.M = m + C

Therefore,

M = 15.875198 + 40.82331M = 56.698508 kg

Now that the total mass of the object and the cable has been found, the potential energy of the object at the top of the building can be calculated.

Potential Energy = mgh

Potential Energy = (56.698508)(9.81)(45)

Potential Energy = 24,576.10561 joules

Therefore, the work done lifting the 35 pound object from the ground to the top of a 45-foot building using a 2-pound per foot cable is approximately 24,576.11 joules.

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Answer:

Isaac Newton did not invent gravity. Gravity is a fundamental force of nature that has always existed. Newton's contribution was to formulate the laws of motion and universal gravitation, which helped to explain the behavior of objects under the influence of gravity.

As for how people flew before the development of powered flight, they relied on a variety of methods, such as gliding, using hot air balloons, and being lifted by the wind in kites. For example, in China, people have been flying kites for more than 2,000 years. In the late 18th century, the Montgolfier brothers developed hot air balloons, which allowed humans to ascend into the air for short periods of time. And in the late 19th and early 20th centuries, pioneers of aviation such as the Wright brothers and their contemporaries developed powered aircraft, which eventually led to modern air travel.

Answer:

friction

air drag

every thing that opposes the motion affects kinetic energy

Explanation:

kinetic energy is a energy which is increase with increase in motion and potential energy is energy stored while the object is at rest

potential energy ∝ 1/(kinetic energy)

as kinetic energy increases potential energy decreases

The energy consumed by the iron for ten minutes is 1.5 kWh.

To calculate the energy consumed by the iron for ten minutes, we can use the formula:

Energy (in kilowatt-hours) = Power (in kilowatts) x Time (in hours)

First, let's convert the current from amperes to kilowatts. We know that 1 ampere is equal to 1 watt, so 9.50 amperes is equal to 9.50 watts.

Next, we need to convert the time from minutes to hours. Since there are 60 minutes in an hour, ten minutes is equal to 10/60 = 1/6 hour.

Now we have all the information we need to calculate the energy consumed:

Power = 9.50 watts

Time = 1/6 hour

Plugging these values into the formula:

Energy = 9.50 watts x 1/6 hour

Simplifying the expression:

Energy = 1.58 watt-hours

Since 1 kilowatt-hour (kWh) is equal to 1000 watt-hours, we can convert the energy to kilowatt-hours:

Energy = 1.58 watt-hours / 1000

Energy = 0.00158 kilowatt-hours

Rounding the value to two decimal places, the energy consumed by the iron for ten minutes is approximately 0.00 kWh or 1.5 kWh.

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A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.

B) Using the MATLAB function trapz, the work done is approximately 7750 J.

Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.

A) Force (F) = 200 N (constant for all t)

Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)

Step size (h) = 0.25

To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.

Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.

Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].

For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²

Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).

Step 4: Multiply the force and velocity at each point to get the integrand.

For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]

Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].

The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]

Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).

Step 6: Multiply the result by the step size h to get the work done.

Work done: 1250 J

B) % Define the time intervals and step size

t = 0:0.25:15;

% Calculate the velocity based on the given expressions

v = zeros(size(t));

v(t <= 5) = 4 * t(t <= 5);

v(t >= 5) = 20 + (5 - t(t >= 5)).^2;

% Define the force value

F = 200;

% Calculate the work done using MATLAB's trapz function

\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;

% Display the result

disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);

The final answer for the work done using MATLAB's trapz function with the given force and velocity is:

Work done using MATLAB's trapz function: 7750 J

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Answer:

26.5m/s²

Explanation:

Given parameters:

Tangential velocity of the object  = 23m/s

Radius of track = 20m

Unknown:

Acceleration = ?

Solution:

The acceleration of the body is its centripetal acceleration. It is given by;

  a  = \(\frac{v^{2} }{r}\)  

v is the tangential velocity

r is the

          a  = \(\frac{23^{2} }{20}\)   = 26.5m/s²

Answer:

\(P_{h}\)=\(P_{0} e\)\(\frac{-mgh}{kT}\)

Explanation:

Answer:

6.52m

Explanation:

The horizontal distance travelled is known as its range. This is expressed as;

Range = u* √2H/g

u is the speed of the pelican

H is the maximum height

g is the acceleration due to gravity

Range = 8.79*√2(2.7)/9.8

Range = 8.79 * √5.4/9.8

range = 8.79*√0.5510

Range = 8.79*0.7423

Range = 6.52

Hence the fish will travel 6.52m before hitting the water below

The frequency of this microwave is 9.375 x 10^9 Hz

The frequency of a certain microwave having a wavelength of 0.032m will be 9.375 x 10^9 Hz.

Let:

Using the relation between frequency and wavelength:

                                    v = f.λ

                                    c = f(0.032m)

                  3 x 10^8m/s = f(0.032m)

                                     f = 3 x 10^8/0.032

                                    f = 9.375 x 10^9 Hz

Electromagnetic Waves always travel at the speed of light. Electromagnetic Waves possess both electric and magnetic fields aligned perpendicularly to each other.

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To determine the mass of granite, we must first understand the definition of density. Density is defined as the amount of matter present in a substance per unit volume.

We use the formula: density = mass/volume to calculate the mass of a substance given its density and volume. To calculate the mass of 54.3 m³ of granite, we use the following steps:

Given Density of granite = 2700 kg/m³Given volume of granite = 54.3 m³Let us substitute the values in the formula of density:density = mass/volume Solving for mass, we get:mass = density × volume Substitute the given values of density and volume into the formula:mass = 2700 kg/m³ × 54.3 m³

The m³ unit in the volume cancels out, leaving us with kg as the unit for mass.

We then solve the equation to get the mass:mass = 146,610 kg

Therefore, the mass of 54.3 m³ of granite is 146,610 kg.

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Answer:

Explanation:

Samantha walks along a horizontal path in the direction shown the curved path is a semi circle with a radius of 2 m while the horizontal part is for me what is the magnitude of displacement

Displacement is given by the straight line distance between P and Q. Displacement will be length of straight line joining P and Q

a semi circle with a radius of 2 m

Length of this straight line=4+diameter

=4+(2*2)

=8 m

"Yes, the electronic crime scene is handled completely differently from a traditional crime scene. The electronic crime scene refers to a crime that has taken place in the digital world.

In contrast, a traditional crime scene refers to a crime that has taken place in the physical world, and it is evident that the two scenarios are handled differently.

An electronic crime scene refers to the area or place where electronic evidence is gathered for use in investigations or legal proceedings. Electronic evidence refers to information or data stored, created, or transmitted in electronic devices, including computers, smartphones, flash drives, and other digital devices. The collection of electronic evidence differs significantly from the collection of traditional evidence. The first step is the preservation of electronic evidence. In a traditional crime scene, it is possible to cordon off the area using yellow tapes, close windows, and take photographs of the scene. However, this is not the case with an electronic crime scene since electronic evidence is intangible. This is why digital forensic investigators begin the evidence preservation process by creating a forensic image of the electronic device under investigation. This is done to prevent data loss or alteration before investigations commence.

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Doubling the kinetic energy of a car does not change its momentum. Momentum is determined solely by the mass and velocity of the object, independent of its kinetic energy.

Kinetic energy and momentum are two different physical quantities that describe the motion of an object. Kinetic energy depends on the mass and velocity of an object, while momentum depends only on the mass and velocity.

When the kinetic energy of a car is doubled, it means that the car's velocity is increased while its mass remains the same. However, momentum is the product of mass and velocity, so if the mass remains constant, any change in kinetic energy does not directly affect momentum.

Mathematically, the formula for kinetic energy is KE = (1/2)mv^2, where KE represents kinetic energy, m represents mass, and v represents velocity. On the other hand, momentum is given by the formula p = mv, where p represents momentum. As we can see, kinetic energy involves velocity squared, while momentum only involves velocity.

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Answer:

ITU Sangat bermanfaaat

Answer:

9 years old and he/she crawl like at 2 years old