Suppose a 71.5 kg gymnast climbs a rope. What is the tension in the rope if she climbs at a constant speed

Answer:

2.3 Nm clockwise

Explanation:

Take counterclockwise to be positive and clockwise to be negative.

∑τ = (3 N) (2.5 m) − (7 N) (1.4 m)

∑τ = 7.5 Nm − 9.8 Nm

∑τ = -2.3 Nm

The net torque is 2.3 Nm clockwise.

Answer:The kinetic energy of an object is equal to its mass times the square of its velocity, divided by 2.

Explanation:

Since the body is dropped from a height, it initially has no velocity. As it falls, it will accelerate due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2.

After 3 seconds, the velocity of the body will be 3*9.8 = 29.4 m/s. The kinetic energy of the body will be:
KE = (3 kg) * (29.4 m/s)^2 / 2 = 849.56 J

This is the kinetic energy of the body after 3 seconds of falling.

Read more about Kinetic Energy:

https://brainly.com/question/8101588

https://brainly.com/question/20658056

To find the values of t for which the rocket's height is 151 feet, we can set the equation for height h equal to 151 and solve for t. The equation is as follows:

h = 253 - 16t^2

Setting h = 151, we have:

151 = 253 - 16t^2

Rearranging the equation, we get:

16t^2 = 253 - 151

16t^2 = 102

Dividing both sides by 16, we get:

t^2 = 102/16

t^2 = 6.375

Taking the square root of both sides, we get:

t = ±√(6.375)

Calculating the square root, we find:

t ≈ ±2.52

Rounding to the nearest hundredth, the values of t for which the rocket's height is 151 feet are approximately 2.52 seconds and -2.52 seconds. The negative value indicates the time before the rocket was launched..

To know more about rocket's height,

https://brainly.com/question/29070000

#SPJ11

Answer:

An open circuit is one where the continuity has been broken by an interruption in the path for current to flow. A closed circuit is one that is complete, with good continuity throughout

A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. The acceleration will take place for 1.19ft/s^2. It can be calculated by the formula v^2-u^2 = 2as.

v^2-u^2 = 2as

a=v^2-u^2/2s =144-25/2(50)

a=119/100 =1.19ft/s^2

What is acceleration?

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. The rate at which velocity changes is called acceleration.

What three forms of acceleration are there?

The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration.

To know more about acceleration, click here- brainly.com/question/460763

#SPJ1

A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. The acceleration will take place for 1.19ft/s^2. It can be calculated by the formula v^2-u^2 = 2as.

v^2-u^2 = 2as

a=v^2-u^2/2s =144-25/2(50)

a=119/100 =1.19ft/s^2

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. The rate at which velocity changes is called acceleration.

The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration.

To know more about acceleration, click here- brainly.com/question/460763

#SPJ1

Answer:  Make the frequency higher for number 1 and have the same amplitude.

Explanation: Wavelength and frequency are directly related so if you change one of those then you can't keep the other one the same. You would need to raise the frequency which would make 1 louder and keep amplitude the same for both so that 1 is louder.

To make the sounds match in pitch while making sound wave 1 louder than sound wave 2 : Increase the frequency for wave #1 while setting their amplitudes at the same value

The wavelength of a sound wave is inversely proportional to its frequency therefore when the frequency of wave 1 is increased its wavelength decreases with equal proportion.

Since the increase in frequency results to a decrease in wavelength. therefore to make wave 1 louder, both waves we will have to set the amplitude values of the waves at the same amplitude.

Hence we can conclude that to make the sounds match in pitch while making sound wave 1 louder than sound wave 2 ; Increase the frequency for wave #1 while setting their amplitudes at the same value.

Learn more : https://brainly.com/question/16051869

Answer:

the quantity of matter contained in a body is called mass .si unit of mass is kilogram.weight is effected by gravity but mass is not effected by gravity.

Answer:

The quantity of matter contained in a body is called mass .si unit of mass is kilogram.weight is effected by gravity but mass is not effected by gravity.

Explanation:

We know the age of the solar system so precisely by Radiometric dating.

The age of the solar system is estimated to be 4.568 billion years old. This age is based on a variety of scientific evidence, including:

Radiometric dating: Radiometric dating is a method of determining the age of materials by measuring the decay of radioactive isotopes. The most common radioactive isotopes used for radiometric dating are uranium-238, potassium-40, and rubidium-87.

These isotopes decay at a known rate, and by measuring the amount of radioactive material and its decay products, scientists can calculate the age of the material.

Meteorites: Meteorites are pieces of rock that have fallen to Earth from space. They are thought to be remnants of the solar system's formation, and they can be used to date the solar system.

By measuring the composition of meteorites and comparing them to the composition of the Sun and planets, scientists can estimate the age of the solar system.

Moon rocks: The Moon is thought to have formed from a collision between the Earth and a Mars-sized object early in the solar system's history.

By studying the composition of Moon rocks, scientists can learn about the conditions that existed in the solar system at the time of the collision. This information can be used to estimate the age of the solar system.

The age of the solar system is a fundamental piece of information about our planet and its place in the universe. By understanding the age of the solar system, we can better understand how it formed and evolved. This knowledge can help us to understand the future of our planet and its place in the universe.

To know more about Radiometric dating, refer here:

https://brainly.com/question/32218528#

#SPJ11

Fracking has become widely used in the US, raising worries about its effects on the environment and public health. Large volumes of wastewater are produced, along with greenhouse gases like methane, hazardous air pollution, and noise.

Fracking, also known as hydraulic fracturing, is a technique for obtaining gas and oil through shale rock. With the help of a high-pressure injection of water, sand, and chemicals into bedrock, gas and oil can flow into a well and be collected for sale.

Know more about the affects of technology

https://brainly.com/question/29716530

#SPJ1

Explain any environmental issue that arose from fluid technology.

The speed of standing wave pattern with 9 nodes created in a string of length 1.3 m by using waves of frequency 126.5 hz. is 18.27 m/s.

The speed of waves in m/s can be calculated using the formula:

v = fλ

where: v = speed of wave in m/s, f = frequency of the wave in Hz, and λ = wavelength of the wave in meters

Given the frequency f = 126.5 Hz, we can calculate the wavelength of the wave using the formula:

v = fλ

λ = v/f

Substituting the values,

λ = 1.3/9 = 0.1444 m

Substituting the value of λ in the equation, we get:

v = fλ

v = 126.5 × 0.1444

v = 18.27 m/s

Therefore, the speed of the wave in m/s is 18.27.

Learn more about Wavelength:

https://brainly.com/question/10728818

#SPJ11

Answer:

Explanation:

ADVANTAGES OF TISSUE CULTURE

There are several advantages to using the tissue culture process. We already mentioned its effectiveness in helping developing countries to increase food production, but what are some other advantages that may be relevant to you?

The new plantlets can be grown in a short amount of time.

Only a small amount of initial plant tissue is required.

The new plantlets and plants are more likely to be free of viruses and diseases.

The process is not dependant on the seasons and can be done throughout the year.

You need only a relatively small space to perform the process (ten times the plants in one-tenth of the space).

On a larger scale, the tissue culture process helps to supply the consumer market with new subspecies and variety.

People looking to cultivate challenging plants such as specific breeds of orchid find more success with the tissue culture process than traditional soil.

DISADVANTAGES OF TISSUE CULTURE

Tissue Culture can require more labor and cost more money.

There is a chance that the propagated plants will be less resilient to diseases due to the type of environment they are grown in.

It is imperative that, before being cultured, the material is screened; failure to pick up any abnormalities could lead to the new plants being infected.

While the success rate is high if the correct procedures are followed, success with the tissue culture is not a guarantee. There is still a chance that the process triggers a secondary metabolic chemical reaction, and the new explants or cells' growth gets stunted, or even die off.

Answer:

Explanation:god is good because the god is what it stays

god is good because the god is what it staysgod is good because the god is what it staysgod is good because the god is what it stays

Answer:

Answer

Explanation:

Answer:

1. Fitness 6. Health

2. Medicine 7. Diet

3. Diseases 8. Treatment

4. Exercises 9. Activities

5. Nutrition 10. Workouts

Answer:

2480km

Explanation:

Red has a longer wavelength than yellow. The wavelength of light determines its color, with longer wavelengths corresponding to colors on the red end of the visible spectrum.

Red light has a longer wavelength than yellow light, meaning that the distance between successive peaks or troughs of the red light wave is greater than that of the yellow light wave.

Similarly, blue has a longer wavelength than green, green has a longer wavelength than yellow, and violet has a longer wavelength than blue.

This is because the colors in the visible spectrum are arranged in increasing order of their respective wavelengths, with red having the longest wavelength and violet having the shortest.

The relationship between wavelength and color helps us perceive and differentiate between various colors in the visible light spectrum.

To know more about spectrum, refer here:

https://brainly.com/question/13435566#

#SPJ11

The combined speed after the inelastic collision is equal to 0.75 v.

An inelastic collision can be described as a type of collision that occurs between two objects in which some energy is lost. In the case of inelastic collision, momentum remains conserved but the kinetic energy will not be conserved.

Given, the mass of cart A, m₁ = 3 m

The mass of the cart B, m₂= m

The initial speed of cart A, u₁ = v

The initial speed of cart B, u₂ = 0

After the inelastic collision the momentum will remain conserved:

m₁.u₁ + m₂u₂ = m₁.v₁ + m₂ v₂

3m × v + m ×0 = (3m + m)× V

V = 3mv/4m

V = 0.75 v

Learn more about inelastic collision, here:

https://brainly.com/question/14521843

#SPJ1

The speed of sound in the steel railroad rails is approximately 6131 m/s.

The speed of sound is defined as the distance traveled by a sound wave per unit time.

In this case, the sound wave travels through the steel railroad rails for a distance of 2350 m.

The time it takes for the sound wave to travel through the rails is given as 0.383 s.

To calculate the speed of sound, we use the formula:

Speed = Distance / Time

Plugging in the given values, we have:

Speed = 2350 m / 0.383 s

Speed ≈ 6131 m/s

Therefore, the speed of sound in the steel railroad rails is approximately 6131 m/s.

For more such questions on speed, click on:

https://brainly.com/question/4931057

#SPJ8

Answer:

The difference in airspeed over the top and bottom of an airplane wing results in a difference in air pressure, which generates lift. The Bernoulli's equation relates the pressure of a fluid (including air) to its velocity and the height of the fluid:

P + 1/2 * rho * v^2 + rho * g * h = constant

where P is the pressure of the fluid, rho is the density of the fluid, v is the velocity of the fluid, g is the acceleration due to gravity, and h is the height of the fluid.

Assuming that the density of air is constant and the height of the wing is negligible compared to the other terms in the equation, we can simplify the equation to:

P + 1/2 * rho * v^2 = constant

The constant in the equation is the same at all points along the wing, since the air is a continuous fluid.

The pressure difference between the top and bottom of the wing can be found by calculating the pressure at the top and bottom of the wing using the simplified Bernoulli's equation, and then taking the difference between the two pressures.

Let P1 be the pressure at the bottom of the wing, where the airspeed is 130 m/s, and P2 be the pressure at the top of the wing, where the airspeed is 170 m/s. Then we have:

P1 + 1/2 * rho * (130 m/s)^2 = P2 + 1/2 * rho * (170 m/s)^2

Simplifying and rearranging, we get:

P1 - P2 = 1/2 * rho * (170 m/s)^2 - 1/2 * rho * (130 m/s)^2

Plugging in the density of air (rho = 1.225 kg/m^3), we get:

P1 - P2 = 1/2 * 1.225 kg/m^3 * (170 m/s)^2 - 1/2 * 1.225 kg/m^3 * (130 m/s)^2

Simplifying and calculating, we get:

P1 - P2 = 377.72 Pa

Therefore, the difference in pressure between the top and bottom of the wing is approximately 377.72 Pa.

For waves:

Match the wave to the description:

The wave with the smallest amplitude would produce the softest sound, B.

The wave with the largest amplitude would produce the loudest sound, D.

The wave with the highest frequency would produce the sound with the highest pitch, A.

The wave with the lowest frequency would produce the sound with the lowest pitch, C.

Waves only transfer energy.

The electromagnetic spectrum is made of: radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

An acronym to help me remember this from longest to shortest wavelength: ROYGBIV (stands for red, orange, yellow, green, blue, indigo, violet - the colors of the visible light spectrum).

Uses for electromagnetic waves: radio and TV broadcasting, communication via mobile phones, heating food in a microwave oven, infrared cameras for night vision, medical imaging using X-rays, and cancer treatment using gamma rays.

Find out more on waves here: https://brainly.com/question/19036728

#SPJ1

in a transverse wave, the direction of propagation is perpendicular to the oscillation direction. This statement is true.

It is true that in a transverse wave, the direction of propagation is perpendicular to the oscillation direction. This is due to the nature of transverse waves and the way they propagate energy through a medium.

In a transverse wave, the particles of the medium oscillate perpendicular to the direction in which the wave is traveling. For example, in a wave on a string, if the wave is moving horizontally to the right, the particles of the string move up and down perpendicular to the rightward direction of the wave.

This perpendicular motion of the particles is a result of the restoring forces acting on them. In transverse waves, the oscillation of the particles is caused by forces that pull the particles back toward their equilibrium positions. These forces are perpendicular to the direction of propagation of the wave.

The perpendicular relationship between the oscillation direction and the direction of propagation allows the wave to transfer energy through the medium. As the particles oscillate, they transfer their energy to neighboring particles, causing a wave-like motion to propagate through the medium.

Learn more about transverse wave here:

https://brainly.com/question/29180325

#SPJ11

No, the distance from the last stop to the school and the time it takes to travel that distance are required.

Average speed involves dividing the whole distance traveled by the total time it took to cover that distance.

Speed is the rate of movement of something at a specific time. Average speed refers to the average speed during the course of a journey.

Typically, average speed refers to the speed of moving objects like cars, trains, and aircraft. It is frequently expressed in kilometers per hour (kph) or miles per hour (mph). In many different disciplines, such as physics, astronomy, and transportation, average speed is used.

Therefore, No, the distance from the last stop to the school and the time it takes to travel that distance are required.

To learn more about speed, refer to the link:

https://brainly.com/question/7359669

#SPJ1

Answer: 600 km west

Explanation:

When looking at total distance/displacement, simply add the two given quantities together. Note- in the future, make sure to pay attention to units and directions of components. For example, if it was 100 km east and then 500 km west, your total would be -100 km west + 500 km west, giving you 400 km west.

Answer:

NOAA Scienctist

Explanation:

The stakeholder who expressed concern over the removal of the Bloede dam was the NOAA Scientist. So, option C.

A stakeholder is a person, group, or organization that has a vested interest in the choices made and the actions taken by a company, organization, or business initiative.

Here,

Stakeholders are important because, there wouldn't be any projects without them. The project can gain a lot from including its stakeholders.

They can participate in the decision-making process and have an impact on the organization's actions in a way that benefits the project management team.

The dismantling of Bloede Dam was long overdue given the environmental and safety concerns.

The difficulties caused by Bloede Dam are not unusual. Our nation's dams are increasingly hazardous to the environment and dangerous to people, with more than 90,000 dams blocking rivers around the country, including at least 659 in Maryland alone.

Hence,

The stakeholder who expressed concern over the removal of the Bloede dam was the NOAA Scientist. So, option C.

To learn more about stakeholder, click:

https://brainly.com/question/28625232

#SPJ3

Using Runge-Kutta 2nd order Heun's method, the speed (w) at t = 0.8s is approximately 0.0081.

Given:

Voltage input (V) = 30V

Initial speed (w) = 0

Step size (h) = 0.4s

Time at which speed is to be determined (t) = 0.8s

We need to determine the speed (w) at t = 0.8s using Heun's method.

We have k₁ = f(t₁, W₁) = 0.02 + 0.06w₁ (using the given equation)

At t = 0 and w = 0 (initial conditions), we have:

k₁ = 0.02 + 0.06(0) = 0.02

We have k₂ = f(t₁ + h, w₁ + k₁h) = 0.02 + 0.06(w₁ + 0.02h)

So, at t = 0.4s and w = 0 (initial conditions), we have:

k₂ = 0.02 + 0.06(0.02 * 0.4) = 0.02 + 0.00048 = 0.02048

So, W₂ = w₁ + (k₁ + k₂)(h/2)

   = 0 + (0.02 + 0.02048)(0.4/2)

   = 0.04048(0.2)

   = 0.008096

Therefore, using Runge-Kutta 2nd order Heun's method, the speed (w) at t = 0.8s is approximately 0.0081.

Learn more about the Runge-Kutta method here:

https://brainly.com/question/32093981

#SPJ4

The complete question is:

The speed of a motor supplied with a voltage input of 30V, assuming the system is without damping, can be expressed as 30 = (0.02)+(0.06)w dt If the initial speed is zero and a step size of h = 0.4 s, determine the speed w at t = 0.8 s by using the Runge-Kutta 2nd order Heun's method. Heun's method: Wi+1=W₁ = w₁ + (-/-^₁ + = -K ₂ ) h where, k₁ = f(t₁, W₁) and k₂ = f(t₁ + h, w₁ + k₁h), the speed (w) at t = 0.8s is approximately 0.0081.

In every energy conversion, some energy is always converted into other forms, and a portion of it is often lost as waste heat.

According to the principle of energy conservation, energy cannot be created or destroyed but can only be transformed from one form to another. Therefore, when energy undergoes conversion from one form to another, some of it is inevitably transformed into different types of energy.

During energy conversions, different forms of energy may be involved, such as mechanical energy, electrical energy, thermal energy, chemical energy, and so on. In these processes, energy can be transferred and transformed, but the total amount of energy remains constant.

However, it is important to note that energy conversions are never 100% efficient, meaning that some amount of energy is always lost as waste heat. This loss occurs due to various factors, including friction, inefficiencies in the conversion process, and limitations of the systems involved.

For example, in the generation of electrical power from fossil fuels, such as coal or natural gas, the combustion process releases heat energy. This heat energy is then used to produce steam, which drives a turbine to generate electricity. However, not all of the released heat energy is effectively converted into electrical energy. Some of it is lost as waste heat through processes like radiation, convection, or incomplete combustion.

Similarly, in many other energy conversion processes, such as the operation of engines, heating systems, or electronic devices, there are always energy losses in the form of waste heat. These losses contribute to the overall decrease in the efficiency of the conversion process.

Efforts are made to improve energy efficiency and minimize energy losses in various industries and applications. Technologies like insulation, heat recovery systems, and advanced engineering designs aim to reduce waste heat and maximize the useful energy output from energy conversion processes.

In summary, in every energy conversion, some energy is always converted into other forms, but a portion of it is inevitably lost as waste heat. Energy conversions are never 100% efficient, and energy losses occur due to factors like friction, inefficiencies, and system limitations.

To learn more about energy refer here:

https://brainly.com/question/8630757#

#SPJ11

The vehicle traveling in the opposing direction travels the following distance in the same amount of time: 200/9 (2.5) equals 99.38 meters.   The safe separation between the two vehicles is therefore: 129.38 + 99.38 = 228.76 meters.

To obtain the velocity function, we must calculate the integral of the acceleration function:

V ( t ) = ∫ a ( t ) d t V ( t ) = ∫ 3 d t = 3 t + c 1

To find the integral's constant, we use our initial conditions as a guide. As of now

t = 0

The speed is 80 km per hour.

80 km/h is equal to (80)(1000)/3600, or 200/9 meters per second.

V ( 0 ) = 3 ( 0 ) + c 1

200/ 9 = 0 + c 1

c 1 = 200/ 9

The distance the vehicle travels in

the number of seconds required to travel the same distance as the truck plus 30 meters (15 meters in front of and 15 meters behind the truck).

The distance covered by the vehicle is

In the same number of seconds, 200/9 t.

This is the amount of time it takes for the car to overtake and pass the truck.

15 metres.

To do this, the automobile travels a distance of:

S ( t ) = 3 /2 ( 20 ) + 200/ 9 ( 2 5 ) = 129.38 meters

The vehicle traveling in the opposing direction travels the following distance in the same amount of time:

99.38 meters is equal to 200/9 ( 2 5).

To know more about vehicle click on the link:

https://brainly.com/question/24745369

#SPJ4

Answer:

a

Explanation:

Answer:

where is the view......

Answer:

\(\boxed {\boxed {\sf 3 \ meters}}\)

Explanation:

Work is the product of force and distance.

\(W=F*d\)

We know the force to lift the rock was 50 Newtons. The work was 150 Joules.

\(W= 150 \ N*m \\F= 50 \ N\)

Substitute the values into the formula.

\(150 \ N*m= 50 \ N * d\)

We want to solve for distance, so we must isolate the variable. Divide both sides of the equation by 50 Newtons.

\(\frac{150 \ N*m}{50 \ N }=\frac{50 \ N * d}{50 \ N }\)

The Newtons will cancel out.

\(\frac{150 \ m }{50} =d \\3 \ m =d\)

The rock was lifted 3 meters.