Sanjay and Ting, each with a mass of 25 kg, are riding opposite each other on the edge of a 150 kg, 3.0-m-diameter playground merry-go-round that's rotating at 15 rpm. Each walks straight inward and stops 35 cm from the center.

What is the new angular velocity, in rpm?
Express your answer in revolutions per minute.

They represent where phase changes occur.

Okay, let's convert all the lengths to the same unit to compare:

(a) 100 m = 100 meters

(b) 104 μm = 104 micrometers = 104 × 10^-6 meters = 0.000104 meters

(c) 107 nm = 107 nanometers = 107 × 10^-9 meters = 0.000000000997 meters

(d) 102 mm = 102 millimeters = 102 × 10^-3 meters = 0.0102 meters

The longest length is:

(a) 100 m = 100 meters

The answer is option (a).

Answer: 100 m

Explanation:

1 μm = [tex]10^{-6}[/tex] m = 0,000001 m

1 nm = [tex]10^{-9}[/tex] m = 0,000000001 m

1 mm = [tex]10^{-3}[/tex] m = 0,001 m

∴ 100 m es la mayor longitud

Answer:

Here is your answer please change up some words to remain plagraism free.

Explanation:

To determine the required lengths of strings 1 and 2 so that pulses sent in both directions reach the ends of the strings simultaneously, we need to apply the principle that the time it takes for a wave pulse to travel a distance on a string is equal to the distance divided by the wave speed.

The wave speed, in turn, is determined by the tension in the string and the linear density of the string according to the formula:

v = sqrt(T/μ),

where v is the wave speed, T is the tension, and μ is the linear density.

Let L1 be the length of string 1 and L2 be the length of string 2. Since the wave speed is the same for both strings, we can set up the following equations:

L1/v = L2/v

sqrt(T1/μ1)*L1 = sqrt(T2/μ2)*L2

where T1 and T2 are the tensions in strings 1 and 2, respectively.

We can solve for L1 and L2 by combining these two equations and solving for each variable. Substituting the given linear densities of strings 1 and 2, we get:

sqrt(T1/2.60)*L1 = sqrt(T2/3.30)*L2

Squaring both sides and simplifying, we get:

(T1/T2) = (3.30/2.60) * (L1/L2)^2

Substituting the condition that the pulses reach the ends of the strings simultaneously, we know that the total time for a pulse to travel down string 1 and back up to the knot is equal to the time for a pulse to travel down string 2 and back up to the knot. This condition implies that the total length of string 1 (2L1) is equal to the total length of string 2 (2L2):

2L1 = 2L2

Solving this equation for L2 and substituting it into the expression for T1/T2 derived above, we get:

T1/T2 = (3.30/2.60) * (L1/2L1)^2 = 1.25

Solving for L1, we obtain:

L1 = sqrt(T1/μ1) * (2L2/v) = sqrt((1.25)*(2.60/3.30)) * (2L2)

Simplifying this expression, we get:

L1 = (2/3) * sqrt(2.60/3.30) * L2

Therefore, the required length of string 1 is (2/3) * sqrt(2.60/3.30) times the length of string 2. We can substitute the given length of string 2, say L2 = 1 meter, into this expression to obtain the required length of string 1:

L1 = (2/3) * sqrt(2.60/3.30) * 1 meter ≈ 0.693 meter.

Therefore, the required length of string 1 is approximately 0.693 meter and the required length of string 2 is 1 meter.

POWERED BY OPEN AI ALL RIGHTS RESERVED

The given statement, "An overtone is louder than the fundamental tone" is False.

An overtone is a higher-frequency vibration that occurs simultaneously with the fundamental frequency of a sound wave. These vibrations are multiples of the fundamental frequency and contribute to the overall timbre or tone quality of a sound.

In some cases, overtones can be louder than the fundamental tone, depending on the specific harmonic series present in the sound wave. This phenomenon is known as overtone prominence, and it can be heard in certain musical instruments like bells or cymbals, where the higher harmonics of the sound are emphasized.

However, in most cases, the fundamental tone is perceived as the strongest and most dominant sound in a given sound wave.

To learn more about, Fundamental tones, visit:

https://brainly.com/question/3140645

Answer: Pressure of gases.

Explanation:

In a heat engine, the air-fuel mixture is ignited, which causes an increase in pressure of the gases inside the cylinder. This pressure pushes the piston, which is connected to a crankshaft, causing it to rotate and do work. Therefore, pressure is an essential property of gases for the ability of a heat engine to do work.

The maximum speed of the cart if the amplitude of the motion is 3.00 cm is  0.036 m/s

The velocity of the cart when the position is 2.00 cm is 0.1414 m/s.

The kinetic and potential energies of the system when the position of the cart is 2.00 cm​ is 5×10⁻³ J and 4×10⁻³ J resp.

a) To find maximum speed potential energy of the spring gets converted into kinetic energy of the cart in the oscillator motion, Hence,

1/2mv² =1/2kA²

1/2×0.5×v² = 1/2 ×20× 0.03²

v² = 40×9×10⁻⁴

v = 0.036 m/s

b) For the velocity at a given point is calculated by the formula,

v = ±ω√(A² - x²)

v = ±ω√(0.03² - 0.02²)

v = ±ω × 0.0223

v = ±√k/m × 0.0223

v = ±√20/0.5× 0.0223

v = 0.1414 m/s

c)

kinetic energy of the system,

K = 1/2 mv²

K = 1/2 ×0.5×0.1414²

K = 5×10⁻³ J

Potential energy of the system

P = 1/2 kx²

P = 1/2 × 20× 0.02²

P = 4×10⁻³ J

To know more about potential energy :

https://brainly.com/question/24284560

#SPJ1.

Answer:

When a massive star, much larger than our sun, reaches the end of its life cycle, it will undergo a series of fusion reactions in its core until it forms iron, which cannot undergo further fusion. Without fusion to counteract the force of gravity, the core collapses in on itself, causing the outer layers of the star to rapidly expand and creating a red supergiant. Eventually, the outer layers of the star will be expelled in a supernova explosion, leaving behind either a neutron star or a black hole, depending on the mass of the original star. So, the correct answer is B.

The left hemisphere of the brain is primarily needed in scenario, Solving a complex mathematical problem. Option a is correct.

The brain is divided into two hemispheres, left and right, and they are specialized for different cognitive functions. The left hemisphere of the brain is primarily responsible for language processing, logical reasoning, and analytical thinking. Solving a complex mathematical problem involves logical reasoning, analytical thinking, and the use of language, all of which are primarily controlled by the left hemisphere of the brain.

Mathematical problems often require precise calculations, sequencing of steps, and the use of symbols and formulas, all of which require a strong left-brain function. In contrast, appreciating a work of art, listening to music, and recognizing facial expressions are all more complex perceptual and emotional processes that involve the right hemisphere of the brain. Option a is correct.

To know more about brain, here

brainly.com/question/11950231

#SPJ1

--The complete question is, In which of the following scenarios is the left hemisphere of the brain primarily needed?

a. Solving a complex mathematical problem.

b. Appreciating a work of art

c. Listening to music

d. Recognizing facial expressions.--

Answer:

A

Opposite poles will attract

Answer: 4 m/s

Explanation:

To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a closed system remains constant before and after a collision.

Let's denote the initial velocity of the 2 kg ball as "v1i", the initial velocity of the 6 kg ball as "v2i", the final velocity of the 2 kg ball as "v1f", and the final velocity of the 6 kg ball as "v2f".

According to the principle of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Mathematically, this can be expressed as:

m1 * v1i + m2 * v2i = m1 * v1f + m2 * v2f

where m1 is the mass of the 2 kg ball, m2 is the mass of the 6 kg ball, v1i and v2i are the initial velocities, and v1f and v2f are the final velocities.

Given:

m1 = 2 kg

m2 = 6 kg

v1i = 12 m/s (initial velocity of the 2 kg ball)

v2i = 0 m/s (initial velocity of the 6 kg ball, as it is stationary)

v1f = 0 m/s (final velocity of the 2 kg ball, as it comes to rest)

Plugging in the given values into the conservation of momentum equation:

2 * 12 + 6 * 0 = 2 * 0 + 6 * v2f

24 = 6 * v2f

Dividing both sides by 6:

v2f = 24 / 6 = 4 m/s

So, the velocity of the 6 kg ball after the collision is 4 m/s.

The speed of sound in Gold Harbour, on a day when the air temperature is -2.7 °C, is 331.5 + 0.6 * (-2.7) = 328.65 m/s.

Gold Harbour is a small settlement located on Antarctic's King George Island. It is home to a Chilean research base, which is operated by the Chilean Antarctic Institute. It also acts as a summer base for the Chilean Navy, and provides support for the scientific research conducted by other countries, including the United States, United Kingdom, and Russia. The area is known for its stunning natural beauty, with mountains, glaciers, and icebergs all in close proximity. It is also an important habitat for several species of wildlife, including penguins, seals, and sea birds.

The speed of sound in air is affected by temperature, and the formula for calculating the speed of sound in air is v = 331.5 + 0.6 * (air temperature in °C).
Therefore, the speed of sound in Gold Harbour, on a day when the air temperature is -2.7 °C, is 331.5 + 0.6 * (-2.7)
= 328.65 m/s.

To learn more about temperature
https://brainly.com/question/26866637
#SPJ1

When a negatively charged conductive rod is brought close to a lightweight Styrofoam ball suspended from the ceiling by insulating threads (see Figure A), the electrons in the ball are repelled by the rod's negative charge.

For more information on electrostatic force kindly visit to

https://brainly.com/question/9774180

#SPJ1

Answer:

July 29, Earth completed a full spin in about 1.59 milliseconds shorter than its standard timeframe ( 23 hours and 56 minutes).

A person's culture and family background can significantly shape their body image. Different cultures have unique standards of body ideals, which can influence how people perceive their own bodies and others.

What is culture?

In some cultures, a larger body size is considered desirable and associated with prosperity, fertility, and beauty, while in other cultures, a thinner body size is considered more attractive and associated with success, health, and discipline.

Family background can also play a role in shaping body image. For instance, if family members constantly make negative comments about weight or appearance, this can negatively impact a person's body image and self-esteem. Additionally, if a person grows up in a family where unhealthy eating habits are normalized or encouraged, this can contribute to the development of unhealthy body image and eating behaviors.

Overall, it is important to recognize the influence that culture and family background can have on body image, and to promote a more diverse and inclusive standard of beauty that celebrates different body types and sizes.

To know more about body image, visit:

https://brainly.com/question/29840399

#SPJ9

the force the woman exerts to do a push-up at constant speed is 333 N.

the work the woman does is 152 J.

her useful power output is 76 W.

(a) To calculate the force the woman exerts to do a push-up, we need to use torque methods. The woman is doing a push-up at constant speed, which means that the net torque on her body is zero. The only torque acting on her body is due to her weight W, which acts at the center of mass of her body. The distance between her center of mass and her hands is 0.76 m, and the angle between her body and the horizontal is 45 degrees.

The torque due to her weight about her hands is given by:

τ = r x W = (0.76 m) x (cos 45°)(W)

where r is the distance between her hands and her center of mass and cos 45° is the component of the distance perpendicular to the weight vector. Since the woman is at constant speed, the torque she exerts about her hands must be equal and opposite to the torque due to her weight. Therefore:

τ = (0.76 m)(cos 45°)(W) = (1/2)(W)(0.76 m)

Solving for W, we get:

W = 2(τ/0.76 m) = 2[(0.5)(mg)(0.76 m)/(0.76 m cos 45°)] = 333 N

Therefore, the force the woman exerts to do a push-up at constant speed is 333 N.

(b) The work the woman does is equal to the change in her potential energy as her center of mass rises. The woman's mass is not given, so we will assume a value of 60 kg. The gravitational potential energy of the woman is given by:

U = mgh

where m is the mass of the woman, g is the acceleration due to gravity (9.81 m/s^2), and h is the height her center of mass rises (0.26 m). Therefore:

U = (60 kg)(9.81 m/s^2)(0.26 m) = 152 J

Therefore, the work the woman does is 152 J.

(c) The useful power output of the woman is the work she does per unit time, taking into account the work done in lowering her body. Each push-up involves two phases: lifting her body and lowering her body. When she lowers her body, the work done is negative, as the force she exerts is in the opposite direction to the displacement. The work done in lowering her body is equal to the work done in lifting her body, so the total work done in one push-up is zero.

The woman does 30 push-ups in 1 minute, which means she does one push-up every 2 seconds. Therefore, the useful power output of the woman is:

P = (152 J)/(2 s) = 76 W

Therefore, her useful power output is 76 W.

learn more about force here

https://brainly.com/question/12785175

#SPJ1

Answer:

iron

Explanation:

iron is a solid where the particles are closer together, so sound will vibrate the particles faster than in a liquid or gas where the particles are further spaced out.

Answer:

iron

Explanation:

iron is a solid where the particles are closer together, so sound will vibrate the particles faster than in a liquid or gas where the particles are further spaced out.

Ten steel balls, each weighing 27g, are placed in a measuring cylinder filled with 20cm3 of water. The measurement of the water level increases to 50cm3.Then the density of the steel is 9 g/cm³.

Since the steel balls are fully immersed in water, the amount of water they displaced is equal to the volume of balls.

The volume of water before the balls were added is 20 cm³.

The water level rises to a reading of 50cm³ which means it is the total volume of water and the steel balls together. Therefore, the volume of the steel balls is:

50 cm³ - 20 cm³ = 30 cm³

It is given that there are ten identical balls, so the volume of each ball is:

30 cm³ ÷ 10 = 3 cm³

Each ball has a mass of 27 g.

So, the density of steel is calculated by following formula:

Density = Mass ÷ Volume

Density = 27 g ÷ 3 cm³

Density = 9 g/cm³

Therefore, the density of the steel balls is 9 g/cm³.

To know more about density,

https://brainly.com/question/24342653

https://brainly.com/question/26991223

Answer:

Va=8m/s Vb =10m/s Vc=7.14m/s Vs=6.67

Explanation:

#student A runs 100m in 12.5 seconds so in average he run 8 m in every second

#student B runs 100m in 10 seconds those means I'm average the student run 10m in each second.

#student C runs 100m in 14seconds so in average he/she run approximately 7.14m in every second.

#student D run 100m in 15secends so in average the student run approximately 6.67m in each second.

The torque generated by the motor, accelerating with 1.8 m /  Of the elevator is, 18372 Nm.

What is torque?

Torque is the term for the force that rotates an object about any axis. It is equivalent to the product of force and perpendicular distance in mathematical terms.

Given: Radius of pulley (r) = 1.2 meters;

Mass of counterweight (W) = 2700 kg;

Mass of elevator plus passenger (M) = 3100 kg;

Moment of inertia of pulley (I) = 380 kg

To calculate torque:

Now if the rope tension is  then

T₁ = 3100 × (9.8 + 1.8)

T₁ = 35960 N

Now Angular acceleration (α) = a / r

α = 1.8 / 1.2

α = 1.5 rad / sec

If T₂ is the counterweight tension then

T₂ = 2700 × (9.8 - 1.8) N

T₂ = 21600 N

If T is the total torque then

T = 2 × 380 × 1.5 + (35960 - 21600) ×1.2

T = 18372 Nm

Therefore, the total torque that is generated through the given measurement is, 18372 Nm.

To know more about torque check the below link:

https://brainly.com/question/17512177

#SPJ1

The charged particle is moving at a speed of 1.424 x 10³ m/s.

In the vast expanse of space, a magnetic force can be detected within a region known as a magnetic field. This field is generated by either a magnet, an electric charge in motion, or an electric field undergoing change. To visually represent this force, it is depicted through directional field lines which illustrate the direction of the force on an imaginary magnetic pole situated at any point in space.

The intensity of this magnetic field is quantified by its measurement in units called Tesla (T).

The force on a charged particle moving perpendicular to a magnetic field is given by the equation:

F = Bqv

where F is the force on the charge, B is the magnetic field strength, q is the charge of the particle, and v is its velocity.

Rearranging this equation, we can solve for v:

v = F / (B*q)

Substituting the given values, we get:

v = (2.14 x 10⁻⁸ N) / (5.00 x 10⁻⁵T * 2.99 x 10⁻⁶ C)

v = 1.424 x 10³ m/s

To know more about magnetic field, click here

https://brainly.com/question/23096032

#SPJ1

Answer:142

Explanation: on acellus, and maybe on what ever else you are on, but i do know it's right on acellus!! :)

Supermassive black holes that are devouring gas at the center of far-off galaxies are known as quasars.

Since, the quasars were initially identified by astronomers in 1963 as objects that resembled stars but gave off radio waves instead, the term quasar is an abbreviation for quasi-stellar radio source.

Quasars are so bright that they drown out the light from all other stars in the same galaxy. Quasars give off radio waves, X-rays, gamma-rays, ultraviolet rays, and visible light across the entire electromagnetic spectrum. Most of them are larger than our solar system.

To learn more about quasars, click:
https://brainly.com/question/31382503

#SPJ1

Explanation:

Find the time it takes to hit the  bottom....then multiply this time by the horizontal velocity .......

Time to hit bottom :

       d = 1/2 at^2

        9 m  = 1/2 (9.81 m/s^2) (t^2)    shows  t = 1.35 s

Now the horizontal displacement is

      x = rate * time = 24.40 m/s * 1.35 s = 33.1 m

Therefore, Lucy spent 1.875 hours on the remaining 45 questions.

Let's start by finding the total number of questions in Lucy's homework. If she finished 1/4 of her homework at an average speed of 15 questions per hour, then the total number of questions must be:

1/4 x Total number of questions = Number of questions finished at 15 questions per hour

1/4 x Total number of questions = 15 questions per hour

Solving for the total number of questions, we get:

Total number of questions = 60 questions

Now we know that Lucy finished 60 - 45 = 15 questions at an average speed of x questions per hour. Let's use the formula:

time = distance / speed

to find the amount of time she spent on the remaining 45 questions.

For the first part of the homework, Lucy spent:

time = distance / speed

time = 15 questions / hour

time = 1/4 x 2.5 hours

time = 0.625 hours

So, she spent 0.625 hours on the first 15 questions.

For the remaining 45 questions, we have:

time = distance / speed

time = 45 questions / x questions per hour

We know that the total time spent on the homework was 2.5 hours, so:

0.625 hours + 45 questions / x questions per hour = 2.5 hours

Solving for x, we get:

x = 18 questions per hour

Now we can use this speed to find the time spent on the remaining 45 questions:

time = distance / speed

time = 45 questions / 18 questions per hour

time = 2.5 hours - 0.625 hours

time = 1.875 hours

Learn more about average here:

brainly.com/question/24057012

#SPJ1

Answer:

Acceleration (a) = 3 m/s^2

Initial velocity (vo)= 7 m/s.

Explanation:

We can use the equations of motion to solve this problem. Let's start with the second equation of motion:

d = vot + (1/2)at^2

where d is the displacement, vo is the initial velocity, a is the acceleration, and t is the time.

Using this equation for the 2nd second, we have:

17 = vo(2) + (1/2)a(2^2)

17 = 2vo + 2a

Using the same equation for the 9th and 10th seconds, we have:

46 = vo(10) + (1/2)a(10^2) - vo(9) - (1/2)a(9^2)

46 = 10vo + 50a - 9vo - 40.5a

46 = vo + 9.5a

Now we have two equations with two unknowns (vo and a). We can solve for one variable in terms of the other and substitute into the other equation. For example, we can solve the first equation for vo:

2vo = 17 - 2a

vo = (17 - 2a)/2

Now we can substitute this expression for vo into the second equation:

46 = [(17 - 2a)/2] + 9.5a

Solving for a, we get:

a = 3 m/s^2

Now we can use the expression for vo to find its value:

vo = (17 - 2a)/2

vo = (17 - 2(3))/2

vo = 7 m/s

Therefore, the acceleration of the particle is 3 m/s^2 and its initial velocity is 7 m/s.

Answer:

Acceleration (a) = 3 m/s^2

Initial velocity (vo)= 7 m/s.

Explanation:

We can use the equations of motion to solve this problem. Let's start with the second equation of motion:

d = vot + (1/2)at^2

where d is the displacement, vo is the initial velocity, a is the acceleration, and t is the time.

Using this equation for the 2nd second, we have:

17 = vo(2) + (1/2)a(2^2)

17 = 2vo + 2a

Using the same equation for the 9th and 10th seconds, we have:

46 = vo(10) + (1/2)a(10^2) - vo(9) - (1/2)a(9^2)

46 = 10vo + 50a - 9vo - 40.5a

46 = vo + 9.5a

Now we have two equations with two unknowns (vo and a). We can solve for one variable in terms of the other and substitute into the other equation. For example, we can solve the first equation for vo:

2vo = 17 - 2a

vo = (17 - 2a)/2

Now we can substitute this expression for vo into the second equation:

46 = [(17 - 2a)/2] + 9.5a

Solving for a, we get:

a = 3 m/s^2

Now we can use the expression for vo to find its value:

vo = (17 - 2a)/2

vo = (17 - 2(3))/2

vo = 7 m/s

Therefore, the acceleration of the particle is 3 m/s^2 and its initial velocity is 7 m/s.

Explanation:

You divide by 1000 so it would be 6.785g

Answer:

9.922

Explanation:

When ignoring the air resistance and the ball is kicked and fell into the same plane. the initial speed is the speed when it is stricken on the ground. the initial momentum magnitude equals the final momentum magnitude only the direction is changed.

∴ Momentum=  mass*velocity  

                      = o.41kg*24.2

                      = 9.922[tex]kgms^{-1[/tex]

The tractive force of the engine is 1020 N.

Mass of the car, m = 750 kg

Acceleration of the car, a = 1.5 m/s²

Traction, also known as tractive force, is the force used to produce or create motion by using dry friction between a body and an inclined surface.

Weight of the car, W = mg

W = 750 x 9.8

W = 7350

The coefficient of friction is the ratio or percentage of the opposing frictional force to the normal force pressing the two surfaces into contact and motion.

The tractive force of the engine,

F' = ma - mg sinθ = m(a - g sinθ)

F' = 750[1.5 - (9.8/70)]

F' = 750 x 1.36

F' = 1020 N

To learn more about tractive force, click:

https://brainly.com/question/14329020

#SPJ1

The type of electrical energy produced by batteries is chemical potential energy. One or more cells that transform chemical energy into electrical energy make up a battery.

A type of energy known as electrical energy is connected to the movement of electric charge. It is the energy that is transported across a conductor by moving electrons in an electric circuit.

Direct current (DC) batteries generate electrical energy. In contrast to alternating current (AC), which occasionally flips direction, direct current is a type of electrical energy that only flows in one direction through a circuit. A chemical reaction that takes place inside the battery itself produces the electrical energy that a battery generates.

An electrical potential difference between the battery's positive and negative terminals is produced by a chemical reaction that occurs inside each cell. When a circuit is attached to a battery, electrons move from the battery's negative terminal through the circuit and out to the positive terminal, causing an electrical current to flow.

Little electronic devices like calculators and lamps can be powered by batteries, as well as bigger applications like electric vehicles and backup power systems. Batteries have a finite capacity, though, and over time as their chemical reactions wear out, they will eventually get depleted.

To know more about electrical energy, visit:

brainly.com/question/1580875

#SPJ1