Suppose that Ben Pumpiniron elevates his 80-kg body up the 2.0-meter stairwell in 1.8
seconds. Calculate Ben's power.

The speed of light is 3 × 10⁸ m/s, if the wavelength is 600 nm and the frequency of the yellow light is 500 thz.

Wavelength of the yellow light, λ = 600 nm = 6 × 10⁻⁷ m.

Let the speed of yellow light, = v

The frequency of the yellow light, = 500 thz = 5 × 10¹⁴ hz

We know the relationship between speed of the wave, wavelength and the frequency of the wave is as follows:

speed = wavelength × frequency

v = 6 × 10⁻⁷ × 5 × 10¹⁴

n = 3 × 10⁸ m/s

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As the moon moves from a new moon to a full moon, the amount of the moon that is lit by the sun increases.

Cycle of the moon refers to the sequence of phases that the moon goes through as it orbits around the Earth. This cycle takes approximately 29.5 days to complete, during which the appearance of the moon changes from a new moon, to a waxing crescent, to a first quarter, to a waxing gibbous, to a full moon, to a waning gibbous, to a third quarter, and finally to a waning crescent, before starting the cycle anew as a new moon.

As the moon moves from a new moon to a full moon, the amount of the moon that is lit by the sun increases. During a new moon, only a small portion of the moon is lit and facing the Earth, while during a full moon, the entire illuminated side of the moon is facing the Earth, resulting in a maximum amount of the moon being lit by the sun.

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The force acting on the ball rolling down the hill is 10578N.

Force in physics is a physical quantity that denotes ability to push, pull, twist or accelerate a body. The force acting on a body can be calculated using the following expression;

Force = mass × acceleration

According to this question, a ball has a mass of 3,526 grams and is rolling down a hill at 3 m/s². The force acting on the ball can be calculated as follows:

Force = 3526 × 3

Force = 10,578N

Therefore, 10578N is the force acting on the ball.

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Astronomers and police detectives alike must test their hypotheses against all the evidence they gather.

Astronomy is the study of everything in the universe beyond the Earth's atmosphere. This includes visible objects such as the sun, moon, planets, and stars. This includes objects that can only be seen with the telescopes and other instruments, such as distant galaxies and small particles. Astronomers are people who study the planets, stars, and other celestial bodies. They use the ground-based devices like the optical telescope and space-based devices like the Hubble Space Telescope. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars. These are the difference between the astronomer and the police detective.

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As there is no ground or other normal force to offset the pull of gravity, an astronaut orbiting the Earth does feel weightless.

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An experimental procedure the student could use to collect the data needed to find the frictional torque exerted on the platform while it rotates are given below.

In physics, inertia is the property of an object to resist changes in its motion. It is the tendency of an object to remain at rest or in motion in a straight line at a constant velocity unless acted upon by an external force.

Inertia is related to an object's mass, which is a measure of the amount of matter an object contains. This means that an object with more mass will be more difficult to accelerate, stop, or change its direction of motion compared to an object with less mass.

The student could use the following experimental procedure to determine the frictional torque exerted on the platform while it rotates:

By repeating this procedure for different known torques, the student can determine the frictional torque acting on the platform by comparing the applied torque to the measured net torque.

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The speed of the skier at the bottom of the slope is 15.1 m/s.

The speed of the skier at the bottom of the slope is calculated by applying the principle of conservation of energy.

Kinetic energy at bottom = percentage of potential energy converted into kinetic energy.

K.E = 20%P.E

K.E = 0.2P.E

¹/₂mv² = 0.2 mgh

¹/₂v² = 0.2gh

v² = 2 (0.2gh)

v = √2(0.2gh)

where;

sin (6.4) = h /L

h = L x sin(6.4)

h = 500m x sin (6.4)

h = 58.28 m

v =  √2(0.2 x 9.8 x 58.28 )

v = 15.1 m/s

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Charges on two connected spheres will balance out until they are equal on all of them. Answer:A: 3/4, B: -q/4, C:3/8q.

When two conducting spheres touch, the charge on them is redistributed such that the potential on the two spheres is the same:

V1 = V2

Q1/C1= Q2/C2

where Q stands for the charge and C for the sphere's capacitance. For identical spheres, the capacitance is the same, so the previous equation becomes

Q1 =Q2

This indicates that the two spheres receive an equal distribution of the charge.

Here initially we have:

Sphere A: charge of q

Sphere B: charge of -q/2

Sphere C: charge of 0

Sphere B is initially contacted by sphere C.

Given that the two spheres' combined charge was

q/2 +0 = -q/2

After touching each sphere will have a charge half of this value:

qA= qC = 1/2(-q/2) = -q/4

Sphere C (charge -q/4) then makes contact with sphere A (charge +q).

The overall cost is therefore

-q/4+q = +3/1q

Since the charge distributes equally, each sphere will receive 1/2 of this charge:

qB = qc =1/2 (+3/1 q)= 3/8q

So the final charge on the 3 spheres will be

A: 3/4, B: -q/4, C:3/8q

b. A: 1/2, B: 0, C:0

After touching each sphere will have a charge half of this value:

qA = qC = 1/2(q) = q/2

After that, sphere C (charge q/2) makes contact with sphere B (charge -q/2).

The overall cost is therefore

-q/2+q/2=0

Since the charge distributes equally, each sphere will receive 1/2 of this charge, which simply means a charge of zero:

qB= qC= 0

So the final charge on the 3 spheres will be

A:1/2 , B: 0, C: 0

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(1) The time does pilot take the weight to hit the ground = 2.4 s

(2) The pilot travel before land = 400 m

Because fall time is proportional to fall height and acceleration due to gravity (g) is constant,

t₁ = t₂  

s₁ = initial distance

s₂ = final distance

t₁ = initial time

t₂ = final time

Hence, the time does it take the weight to hit the ground = 2.4 s

The initial distance (s₁) = 200 m, and the pilot does a run at the same height but twice the speed.

So, the  pilot travel before land:

s₂ = 2 x s₁

= 2 x 200 m

= 400 m

The question is incomplete, it should be:

There are competitions in which pilots fly small planes low over the ground and drop weights, trying to hit a target. A pilot flying low and slow drops a weight; it takes 2.4 s to hit the ground, during which it travels a horizontal distance of 200 m. Now the pilot does a run at the same height but twice the speed. How much time does it take the weight to hit the ground? How far does it travel before it lands?

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One recent significant breakthrough in space exploration is the successful landing of the Perseverance rover on Mars on February 18, 2021.

The rover is equipped with advanced instruments and technology to search for signs of past microbial life on the planet, as well as to collect samples for future return to Earth. Additionally, the mission includes the Ingenuity helicopter, which successfully completed its first controlled flight on Mars on April 19, 2021, marking the first powered, controlled flight on another planet.

The Perseverance rover, also known as the Mars 2020 mission, was launched on July 30, 2020 and landed on Mars on February 18, 2021. The rover is a car-sized robotic vehicle that is designed to explore the Martian surface and search for signs of past microbial life. It carries a number of scientific instruments, including cameras, spectrometers, drills, and a laser that can vaporize rocks to study their composition.

One of the key objectives of the mission is to collect samples of Martian rock and soil, which will be stored on the rover until a future mission can return them to Earth for further study. The rover is also equipped with a system known as MOXIE, which will attempt to produce oxygen from the carbon dioxide in the Martian atmosphere, which could be used to support human life on the planet.

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The type of wave that would be safest to use in this type of device would be radio waves.

Other types of electromagnetic waves such as microwaves, infrared, visible light, ultraviolet, X-rays and Gamma rays have a higher frequency and shorter wavelength and more energy per photon, thus they can be ionizing and potentially harmful to humans if exposed to high intensity for a long time.

That's why devices such as radar and sonar, which use radio waves to locate and determine the speed of objects, are considered safe for human use.

Radio waves are a type of electromagnetic wave that have the longest wavelength and lowest frequency of all electromagnetic waves. They are a form of energy that travels through space at the speed of light (about 299,792,458 meters per second).

The wavelength of radio waves ranges from about 1 millimeter to 100 kilometers, and their frequency ranges from about 3 kilohertz (kHz) to 300 gigahertz (GHz). The part of the electromagnetic spectrum that contains radio waves is called the radio frequency (RF) spectrum.

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A rod gets bent into an arc with a radius of R. The distribution of charges along the rod is uniformly linear. the promise in the arc's middle.

The potential attributable to each charge when considered separately adds up to the total potential at the origin. Therefore, the effort required to gradually move a charge form infinite to a origin is equal to the sum of the charge as well as the voltage source between the start and end sites.

The equation $I=mr2$, in which m and r are the ring's mass and radius, describes its inertia moment of the a semicircular circle about just a line that passes through its center and is in the plane of a ring.

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Each Interior angle of a regular 45-gon is 172° and each exterior angle is 188°.

A polygon is defined as the closed 2-D shape with straight sides. For example a pentagon is the closed of 5 straight sides. Interior angle is defined as the angle subtended by two straight sides inside the traverse. Whereas exterior angle defined as the angle subtended by two straight sides outside the closed traverse. A 45-gon is closed traverse with 45 straight sides.

The sum of all the interior angles of a polygon is (2n-4)×90.

The sum of all the exterior angles of a polygon is (2n+4)×90

Where n number of straight sides.

So the sum of all interior angles of 45-gon is (2×45-4)×90 = 7740

Each interior angle is 7740/45 = 172°

So the sum of all exterior angles of 45-gon is (2×45+4)×90 = 8460

Each exterior angle is 8460/45 = 188°

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The parallels of latitude refer to the angular distance, in degrees, minutes and seconds of a point north or south of the Equator.

Define latitude lines?

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It would take one second to produce the displacement represented by a vertical line from 6 m to 8 m in a graph of position vs. time

To calculate the time it would take for a displacement of 2 meters (from 6 m to 8 m) in a graph of position vs. time,

we need to use the equation v = d/t,

where v is the velocity, d is the displacement,

and t is the time.

In this case, we know that d = 2 m and we need to solve for t.

Plugging in the values, we get 2 = d/t, which simplifies to t = 2/d or t = 2/2 = 1 second.

Therefore, it would take 1 second for the displacement represented by a vertical line from 6 m to 8 m in a graph of position vs. time.

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In both hemispheres, the star ascends in the east then sets in the west. This results from the rotational motion of the earth. Additionally, they spin in that direction.

The planets rise from the east, set in the west, and move counterclockwise all around North celestial pole in the northern hemisphere. The stars inside the southern hemisphere rise in the east, set in the west, and rotate counterclockwise around the celestial equator.

Its Sun, Moon, stars, and celestial bodies are seen to rise inside the east to set inside the west every day. Actually, Earth is travelling more faster than these heavenly bodies. Every 24 hours or so, it rotates on its axis form west to east. We move along because we are on the surface of the Earth.

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Answer:

The water would increase

Explanation:

Because the more salt you add no matter what amount you add anything the water would allow the scale to increase the numbers as well.

A beach ball and infrared energy are not alike in many ways, as they are quite different things. However, one similarity that can be drawn between them is that they both involve energy.

A beach ball is a physical object made of rubber or plastic and filled with air, that can be bounced or thrown around. It requires energy to move it and make it move.

Infrared energy, on the other hand, is a form of electromagnetic radiation that has a longer wavelength than visible light. It is also known as heat energy and it can be emitted by any object that has a temperature above absolute zero. It can be used for heating, sensing and communication, but also to detect heat from objects and therefore detect objects themselves.

Both the beach ball and infrared energy are forms of energy that can be used in different ways and for different purposes. Although it is not a direct comparison, the beach ball and infrared energy can both be described as having the property of energy.

We can determine the direction of heat and work interactions by understanding heat transfer for an automobile at constant speed.

The car radiator is an example of a heat source, with heat being transferred from the radiator to the engine, wheels, road, and air surrounding the car. It works as per laws of heat transfer.

The engine is an example of a work source, as work is done on the radiator and wheels, allowing the car to move.

The direction of heat and work interactions can be determined by considering the energy cycle of the car. Heat is transferred from the radiator to the engine, from the engine to the wheels, from the wheels to the road, and from the road to the air. Work is done from the engine to the wheels and radiator, and from the road to the wheels.

It is important to note that the heat and work interactions between the car radiator, engine, wheels, and air are not exclusive. In fact, as the car moves, heat is also transferred among all of these components. Heat is transferred from the engine to the wheels and the road, from the wheels to the road, and from the road to the air. Work is also done on the engine and wheels, as the car moves.

In conclusion, the direction of heat and work interactions between the car radiator, engine, wheels, road, and air surrounding the car can be determined by analyzing the energy cycle of the car. Heat is transferred from the radiator to the engine, from the engine to the wheels, from the wheels to the road, and from the road to the air. Work is done from the engine to the wheels and radiator, and from the road to the wheels. Heat and work are also transferred among all of the aforementioned components as the car moves.

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A person weighing 875 N sitting on a 305 N seat will exert 1180 N of tension on the horizontal cable.

To find the tension in the horizontal cable, we can use the principle of equilibrium. The principle of equilibrium states that in order for an object to be in equilibrium, the sum of all the forces acting on it must be equal to zero. In this case, the seat and the person sitting in it are in equilibrium, so the sum of all the forces acting on it must be equal to zero. We know that the weight of the seat is 305 N, and the weight of the person sitting in it is 875 N. The weight of the seat and the person is the force acting downward on the seat and the person. We also know that the tension in the horizontal cable is the force acting upward on the seat and the person. Therefore, the sum of the forces acting on the seat and the person is:

Tension in horizontal cable - (weight of seat + weight of person) = 0

Tension in horizontal cable = (weight of seat + weight of person) = 305 N + 875 N = 1180 N

So the tension in the horizontal cable is 1180 N.

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The ratio of magnitude 2 to magnitude 1 after the electric field change when the proton returned to its  starting point.is 1:1

The protons are ejected into an electric field pointing due north, and after 2 seconds the electric field changes to a constant uniform electric field pointing due south. 8.49 seconds after the field change, the proton returned to its starting point.

The protons were initially stationary and accelerated by the electric field. A proton's acceleration is directly proportional to its electric field and inversely proportional to its mass.

Two oppositely directed fields act on the protons, implying a net acceleration of zero. Therefore, the ratio of the magnitude of electric field 2 to the magnitude of electric field 1 is 1:1.

The ratio of magnitude 2 to magnitude 1 is 1:1

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The distance covered by the car in the last 2.0 seconds of its motion is 4.0 m.

The complete question is in the attachment. Look at the graph. The car travel in three motion.

From 0 - 4s

From 4 - 6s

From 6 - 8s

The car travels 20 m in 8.0 s

d = d₁ + d₂ + d₃

20 = 2v + 2v + v

20 = 5v

v = 20/5

v = 4.0 m/s

In the last 2.0 seconds of its motion is from 6 - 8s

d₃ = v

d₃ = 4.0 m

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Athletes are asked to immediately squat to a depth of their choosing and then jump as high as they can in the Countermovement Jump (CMJ), a vertical jump test.

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The tires approximate angular speed in radians per minute is 221937 radians per minute.

Calculating the angular speed of a car's tires requires the use of a few simple equations.

The first step is to convert the speed from miles per hour to feet per minute. To do this, multiply the speed in mph by 5,280 to get the speed in feet per minute. In this example, 55 mph is equal to 287,400 feet per minute.

Next, calculate the circumference of the tire by multiplying the tire’s diameter by pi. In this example, the circumference is 8.17 feet.

Then, divide the speed in feet per minute by the tire's circumference to get the angular speed in rotations per minute. In this example, 287,400 / 8.17 = 35,145.3 rotations per minute.

Finally, to get the angular speed in radians per minute, multiply the rotations per minute by 2pi. In this example, 35,145.3 x 6.28 = 221,937 radians per minute.

To summarize, the approximate angular speed of a car's tires traveling at 55 mph with a diameter of 2.6 feet is 221,937 radians per minute.

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Main sequence M star has the longest lifetime. Because the main sequence is the stage of a star's life that lasts the longest, more than 90% of the stars in the cosmos are main sequence stars.

A star ten times as big as the sun will last on the main sequence for only 20 million years. The sun will last approximately 10 billion years. Red dwarfs can live 80 to 100 billion years, which is much longer than the universe's age of 13.8 billion years and half the mass of the sun. A star with only half the mass of the Sun can stay on the main sequence for 80 billion years. Our stellar companions range from nebula to protostar, through the main sequence to red giant, and finally finish as white dwarfs, neutron stars, or black holes.

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The bulk modulus of the liquid in pascals is 1.26 x 10⁹Pa.

The bulk modulus is a measure of a substance's resistance to compression. It is a mechanical property of a material and is defined as the ratio of change in pressure to the fractional change in volume. In other words, it measures the ability of a substance to withstand changes in volume due to an applied pressure. The greater the bulk modulus, the more resistant the material is to changes in volume. It is typically measured in units of pressure, such as pascals (Pa) or gigapascals (GPa). The bulk modulus is an important property for materials used in engineering and construction, as it affects how well a material can withstand loads and stresses.

To calculate the bulk modulus of a liquid, we can use the equation:

Bulk modulus = (density of the liquid) × (speed of sound in the liquid) ²

First, we need to calculate the speed of sound in the liquid.

The speed of sound in a liquid is given by:

Speed = (wavelength × frequency) / (2 × pi)

To calculate the bulk modulus of the liquid, we can use the equation:

Bulk Modulus = (density × (speed of sound)) ²

The speed of sound in the liquid can be calculated using the equation:

Speed of Sound = (frequency × wavelength)

By substituting the given values into these equations, we can calculate the bulk modulus as follows:

Speed of Sound = (410 Hz × 8.00 m) = 3280 m/s

Bulk Modulus = (1500 kg/m³) × (3280 m/s) ² = 1.26 x 10⁹ Pa

So the bulk modulus of the liquid is 1.26 x 10⁹ Pa.

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In a liquid with a density of 1500 kg/m3 , longitudinal waves with a frequency of 410 hz are found to have a wavelength of 8.00 m. The liquid has a bulk modulus of 1.26 x 10⁹ Pa  in pascals.

A substance's compression resistance is measured by its bulk modulus. A material's mechanical property is the ratio of a change in pressure to a change in volume fractionally. To put it another way, it measures a substance's capacity to withstand changes in volume caused by pressure. The material's resistance to changes in volume is inversely proportional to its bulk modulus.

It is typically measured in pascals (Pa) or gigapascals (GPa) pressure units. Because it influences how well a material can withstand loads and stresses, the bulk modulus is an important property for materials used in engineering and construction.

The equation can be used to determine a liquid's bulk modulus:

Bulk modulus = (density of the liquid) × (speed of sound in the liquid) ²

The speed of sound in the liquid must first be determined before we can calculate the bulk modulus, which is equal to the liquid's density divided by its speed of sound.

The following equation can be used to determine the liquid's bulk modulus: Speed = (wavelength x frequency) / (2 pi)

The following equation can be used to determine the liquid's sound speed: Bulk Modulus = (density/speed of sound)/2

The bulk modulus can be calculated as follows by substituting the given values into these equations: Speed of Sound = (frequency  wavelength).

The liquid's bulk modulus is therefore 1.26 x 109 Pa.

Speed of Sound = (410 Hz  8.00 m) = 3280 m/s.

Bulk Modulus = (1500 kg/m3)  (3280 m/s) 2 = 1.26 x 10⁹ Pa

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At the middle of his jump, Ukrainian Sergei Bubka had a mass of 79.8 kJ.

The amount of matter in a particle or object is represented by its mass, which is denoted by the symbol m. In the International System (SI), the kilogram serves as the default unit of mass (kg).

The resistance of the body to acceleration (change of velocity) when a net force is applied is known as inertia, and inertia may be measured experimentally using mass.

h=6.13 meters, mg=9.81 m/s2,

PEg= 4.80 ×10^3J

We will use the equation for gravitational potential energy and rearrange it to solve for mass because the mass is unknown.

PEg = mgh as a result.

PEg/gh = mass

mass = 4.80 ×10^3 / 9.81 x 6.13

79.8 kJ / mass.

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The rotational kinetic energy of the armadillo has increased by 25 joules.

This is because the armadillo is rolling down the hill, which means that it is rotating around its center of mass. As it rolls, it is converting its gravitational potential energy into translational and rotational kinetic energy.

Since the gravitational potential energy has decreased by 40 joules and the translational kinetic energy has increased by 15 joules, the remaining 25 joules must have been converted into rotational kinetic energy. This means that the armadillo's rotational kinetic energy has increased by 25 joules.

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The initial vertical velocity of the cannon-ball is 5.6 m/s.

The initial vertical velocity of the cannon-ball is calculated by applying the formula for a projectile to reach the maximum height.

Vf² = Vi² - 2gH

where;

At maximum height, the final vertical velocity = 0

0 = Vi² - 2gH

Vi² = 2gH

Vi = √ ( 2gH )

Vi = √ ( 2 x 9.8 x 1.6 )

Vi = 5.6 m/s

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