6. An ice skater is spinning at 60 RPM when she pulls in her arms and undergoes an angular acceleration of 10 rad/s"" for 0. 6 seconds. What was her final RPM and how many rotations did she spin during this time?

Answers

Answer 1

The final RPM of ice skater is 116.38.

RPM's meaning?

RPM's meaning?  per revolution

RPM, which stands for revolutions per minute, is a measure of how quickly a machine is operating at any one time. RPM is a measure used in automobiles to indicate how often the crankshaft completes one full rotation each minute as well as how frequently each piston rises and falls in its cylinder.

Briefing:

ω₀ = 6.2π rad/s

α= 10π rad/s

t = 4.2 s

Find: ω

ω = αt + ω₀

ω  = 10 (0.6 s) + 6.2π rad/s

ω =  116.38RPM

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Related Questions

compared to ida, eros, and gaspra, what was odd about mathilde?
A. It was smaller in size
B. It had a different shape
C. It had a different composition
D. It had a different color

Answers

The odd feature about Mathilde is that it had a different shape. It has all the features like Ida, Eros, and Gaspra. Thus, option D is correct.

Mathilde is a type of metal body present in the asteroid belt having an irregular shape. It is different from other asteroids because of its highly elongated and heavily cratered structure in space. It is estimated that the diameter of the Mathilde is around 50 kilometers.

Mathilde does not have any defined shape and the color is also very distinct. Due to its high carbon nature, it looks like dark black color. This type of asteroid is more prone to collisions.

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calculate the pressure exerted on the ground due to the weight of person standing on one foot. if the bottom of the person's foot is wide and long.

Answers

67.08 pounds per square inch is the amount of pressure exerted on the ground by the person standing on one foot with a wide and long foot.

To calculate the pressure exerted on the ground due to the weight of a person standing on one foot, we need to consider the person's weight and the surface area of their foot in contact with the ground. The formula for pressure is force divided by area (P = F/A).

Let's assume the person weighs 150 pounds and their foot is 12 inches long and 6 inches wide, giving us a surface area of 72 square inches. To convert pounds to force, we multiply the weight by the acceleration due to gravity, which is 32.2 feet per second squared.

So the force exerted by the person is 150 x 32.2 = 4,830 pounds.

Now we can calculate the pressure by dividing the force by the surface area:

P = 4,830 / 72 = 67.08 pounds per square inch.

Therefore, the pressure exerted on the ground by the person standing on one foot is 67.08 pounds per square inch

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A 50 kg bumper car with a 40 kg child and it is at rest when a 60 kg child in her own bumper car slams into it the collision last point1 seconds and the rubber bumpers are perfectly bouncy with no heating from the collision what is the force experienced by the first car

Answers

Answer:

 F = 99 v₂₀

v₂₀ = 1 m / s,        F = 99 N

Explanation:

In this exercise it is asked to find the force during the collision, for this we use the relationship between the momentum and the momentum of car 1

            I = Δp

            F t = p_f- p₀

            F t = m (v_f -v₀)                        (1)

We must find the final speed of car 1, for this we define a system formed by the two cars, in this case the forces during the collision are internal and the moment is conserved

initial instant. Before the crash

        p₀ = 0 + m₂ v₂₀

         

final instant. After the crash

        p_f = m₁ v₁ + m₂ v_{2f}

the moment is preserved

        p₀ = p_f

        m₂ v₂₀ = m₁ v_{1f} + m₂ v_{2f}           (2)

        m₂ (v₂₀ - v_2f}) = m₁ v_{1f}

as the collision is elastic the kinetic energy is also conserved

        K₀ = K_f

        ½ m₂ v₂₀² = ½ m₁ v_{1f}² + ½ m₂ v_{2f}²

        m₂ (v₂₀² -v_{2f}²) = m₁ v_{1f}²

let's write our system of equations, using

         a² - b² = (a + b) (a-b)

         m₂ (v₂₀ - v_{2f}) = m₁ v_{1f}

         m₂ (v₂₀ -v_{2f}) (v₂₀ + v_{2f}) = m₁ v_{1f}²

to solve we divide the equations

       v₂₀ + v_{2f} = v_{1f}

with this we substitute in equation 2 and find the speed of each car, in this case we need the speed of car 1

         m₂ v₂₀ = m₁ v_{1f} + m₂ (v_{1f}-v₂₀)

         2m₂ v₂₀ = (m₁ + m₂) v_{1f}

          v_{1f} = \(\frac{2m_2}{m_1+m_2} v_{2o}\)

We substitute in the drive ratio of car 1

            F t = m (v_f -v₀)

            F = m₁ (\frac{2m_2}{m_1+m_2}  v_{2o} - 0) / t

            F = \(\frac{2m_1 m_2 }{m_1+m_2} \ \frac{v_{2o}}{t}\)

the mass of each car is the mass of the car plus the mass of the boy

           m₁ = 50 +40 = 90 kg

           m₂ = 50 +60 = 110 kg

     

time is t = 1

         

we substitute the values

           F = \(\frac{ 2\ 90 \ 110}{90+110} \ \frac{v_{2o}}{1}\)2 90 100/90 + 110 vo2 / 1

           F = 99 v₂₀

The value of the initial velocity of car 2 is not indicated in the problem, if this velocity is known it can be included and the force value is obtained, suppose that the initial velocity v₂₀ = 1 m / s

           F = 99 N


Why would African Americans like the song "Respect"?
A. It represented African Americans and their struggle for equality.
B. It represented African Americans and their success in achieving
equality.
C. It represented African Americans and their fight for African
independence.
D. It represented African Americans and their struggle to end slavery.

Answers

B. It represented African Americans and their struggle for equality.Answer:

Explanation:

How many joules of heat energy are needed to raise the temperature of 10.0 g (0.0100 kg) of aluminum from 22 K to 55 K, if the specific heat of aluminum is 897 J/kg * K. Explain your answer

Answers

Answer:

296.01 J

Explanation:

From the question,

Q = cm(t₂-t₁)....................... Equation 1

Where Q = quantity of heat, c = specific heat capacity of aluminium, m = mass of aluminium, t₁ = Initial temperature, t₂ = Final temperature

Given: c = 897 J/kg.K, m = 0.01 kg, t₁ = 22 K, t₂ = 55 k

Substitute these values into equation 1

Q = 897×0.01×(55-22)

Q = 897×0.01×33

Q = 296.01 J

Hence 296.01 Joules of heat is required.

Which of the following is a property of a mechanical wave?
Amplitude
Weight
Incidence
Color

Answers

the answer is amplitude

Which word fits in this sentence:

A __________ is how long it takes for one of the planets to go around the sun one time. Earth takes 365.25 days to go around the sun one time. We call this a _______.

A: revolution, year
B: year, revolution​

Answers

Answer:

B because thats the answer

1. How far away will a ball land when thrown from a hill 70 m high at a 45 angle from the horizontal at an initial velocity of 9 m/s?


2. How long will it take for the ball in problem 1 to fall to the ground? Remember the pull of gravity is (-9.8 m/s)

3. What is the maximum height reached by the object?

Answers

Answer:

\(28.53\ \text{m}\)

\(4.48\ \text{s}\)

\(72.1\ \text{m}\)

Explanation:

\(y_0\) = Height from where the ball is thrown = \(70\ \text{m}\)

\(\theta\) = Angle of inclination = \(45^{\circ}\)

\(u\) = Initial velocity = \(9\ \text{m/s}\)

\(g\) = Acceleration due to gravity = \(9.8\ \text{m/s}^2\)

Range of projectile is given by

\(R=\dfrac{u\cos \theta }{g}\left(u\sin \theta +{\sqrt{u^{2}\sin ^{2}\theta +2gy_{0}}}\right)\\\Rightarrow R=\dfrac{9\cos45^{\circ}}{9.8}\left(9\sin45^{\circ}+\sqrt{9^2\left(\sin45^{\circ}\right)^2+2\times 9.8\times 70}\right)\\\Rightarrow R=28.53\ \text{m}\)

The ball will land \(28.53\ \text{m}\) away.

Time of flight is given by

\(t=\dfrac{u\sin \theta +{\sqrt{(u\sin \theta )^{2}+2gy_{0}}}}{g}\\\Rightarrow t=\dfrac{9\sin 45^{\circ} +{\sqrt{(9\sin 45^{\circ} )^{2}+2\times 9.8\times 70}}}{9.8}\\\Rightarrow t=4.48\ \text{s}\)

The time the ball will stay in the air is \(4.48\ \text{s}\)

Maximum height is given by

\(h=y_0+\dfrac{u^2\sin^2\theta}{2g}\\\Rightarrow h=70+\dfrac{9^2\times \sin^245^{\circ}}{2\times 9.8}\\\Rightarrow h=72.1\ \text{m}\)

Maximum height the object will reach above the ground is \(72.1\ \text{m}\).

Can some one Explain to me how the orbits of the planets around the sun work?
Kepler 2nd and 3rd law are tricky can someone explain?

Answers

Since the powerful gravitational pull of the Sun, all of the the solar system's planets revolve around it. The Sun basically attracts the solar system's planets, encompassing Earth, as well as allows them to be in orbit.

What is Kepler's law?

Kepler's laws of planetary motion was initially published at 1609 and 1619 by Johannes Kepler which implies the description of the main orbits of planets around the Sun.

They explain the following scenarios:

Planets move in elliptical orbits all around the Sun.A planet grab the similar quantity of space in the similar time not relating of the place it is in its orbit.A planet's orbital period is usually proportional to the size of its orbit.

Thus, this way, the orbits of the planets around the sun work.

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Does paint and cardboard have joints in it

Answers

Noooo it doesn’t because it’s not apart of the body

what is the critical speed below which the rope woudl becom slack when the bucket reaches the highest point in the circle

Answers

The critical speed below which the rope would become slack when the bucket reaches the highest point in the circle is determined by the length of the rope and the radius of the circle.

When the bucket is at the highest point in the circle, it is momentarily at rest and the tension in the rope must be zero.

The formula for calculating the critical speed at which the rope becomes slack is:

v = √(gr)

where v is the critical speed, g is the acceleration due to gravity, and r is the radius of the circle.

For example, if the radius of the circle is 2 meters and the acceleration due to gravity is 9.8 m/s², the critical speed would be:

v = √(9.8 × 2) = 4.4 m/s

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Can two or more than two quantities have same dimensions?​

Answers

Answer: Yes. you can search this question on the website quora

Explanation:

If a television requires 150 kJ/h to run, how many hours can the television run on the energy provided by 1.0 gal of gasoline

Answers

To determine the number of hours a television can run on the energy provided by 1.0 gallon of gasoline, we need to convert the energy content of gasoline into kilojoules (kJ). The energy content of gasoline is approximately 31,536 kJ per gallon.

Now, we divide the energy content of gasoline (31,536 kJ) by the energy required by the television per hour (150 kJ/h). This calculation gives us approximately 210.24 hours. A television requiring 150 kJ/h can run for approximately 210.24 hours on the energy provided by 1.0 gallon of gasoline, which has an energy content of approximately 31,536 kJ per gallon.

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. Draw the position vs. time graph for a person walking at a
constant speed of 1 m/s for 10 seconds. On the same axes, draw
the graph for a person running at a constant speed of 4 m/s.

Answers

The slope of position versus time graph represent the velocity.

position vs. time graph attached below.

In a position-time graph, the velocity of the moving object is represented by the slope of the graph line.

So, the position vs. time graph for a person walking at a  constant speed of 1 m/s for 10 seconds will be a straight line having slope of 1 in the interval of 0 to 10 seconds.

Similarly,  the position vs. time graph for a person walking at a  constant speed of 4 m/s for 10 seconds will be a straight line having slope of 4 in the interval of 0 to 10 seconds.

Graph attached below.

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. Draw the position vs. time graph for a person walking at aconstant speed of 1 m/s for 10 seconds. On

Question 8 of 10
Which are healthy ways of managing stress? Select the three correct choices.
A. Practice deep breathing
B. Eat a healthy diet
C. Sleep fewer than 6 hours per night
D. Be active
DOLIS

Answers

a, b, and c. you want more than 6 hours per night so it’s not c

suppose a telescope has two eyepieces: eyepiece a with focal length 10 mm and b with 20 mm. suppose the magnifying power with eyepiece a is 200. what is the magnifying power with eyepiece b? hint: it is an inverse (opposite) relationship between power and focal length.

Answers

With eyepiece b, the magnification is 100.

What distinguishes a telescope's 10 mm and 20 mm lenses?

Simply dividing the focal length of the telescope by the focal length of the eyepiece yields the magnification. This implies that a higher magnification is provided by a smaller number on an eyepiece. The magnification offered by a 10mm eyepiece would be twice that of a 20mm eyepiece.

What is magnifying and how is it calculated?

The ratio of the image's height to the object's height is represented by the formula for magnification. Additionally, the letter "m" stands for the object's magnification. Additionally, its formula is Magnification (m) is equal to h/h. Here, h is the object's height and h' is its the item's height.

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Write 3.5 x 105 in standard form.

Answers

367.5

sorry if this is wrong

What event, which occurs twice a year when the sun crosses Earth's equator, recently
marked the start of autumn in the Northern Hemisphere?

Answers

Answer:

the autumnal equinox (when day and night are of equal length)

Explanation:

The first event occurs around the 22nd or 23rd in the month of September. What usually happens is that regions around the Northern Hemisphere (which includes all of North America and Europe) experience an equal length of day and night.

While the second event occurs around March 20th or 21st mainly observable in countries found in the Southern Hemisphere.

In the following graph, what is the slope?

In the following graph, what is the slope?

Answers

Answer:

to find the slope you need to find the change in distance then you divide by the corresponding change in time

eg

( 4-2) ÷ (2-1)

= 2m/s

Which type of bond and how many bonds would occur as carbon dioxide.. (CO2) is formed from carbon in Group IVA and oxygen in Group VIA?

A. three metallic bonds
B. two ionic bonds
C. one covalent bond
D. four covalent bonds

Anything helps.​

Answers

Answer:

four covalent bonds is the answer

put the following words in order from smallest to largest: atoms, matter, elements

Answers

Answer:

Matter, atoms, elements.

Explanation:

Matter is just a name for anything that has mass and takes up space. Therefore, atoms are larger than matter. Atoms are the smallest bits of an element that are still that element, so, elements would be bigger than the atoms that come together to create them!

Hope this helps!

b) Explain the method of preparing electromagnet. How do you test the
poles of an electromagnet with the help of magnetic compass ?

Answers

Answer:

An electromagnet is made by forming a coil around a soft iron bar (known here as the metal) such as a nail or  screw and connect with an insulated copper wire (known here as the electric current conductor) the ends of the wound copper is then connected separately to the positive and negative terminals of a battery (known here as the source of electric current)

The north seeking needle of the magnetic compass will move away when brought close to the north pole of the formed electromagnet which can then be labelled N

The magnetic compass needle will be attracted to the south pole of the electromagnet which can then be labelled S

Explanation:

An electromagnet is an electric powered magnet that is formed (temporarily) by the perpendicular movement of electric current with respect to a metal core

The magnitude and the poles of an electromagnet can be changed by changing the magnitude and the direction of flow of the electric current respectively.

how to how to find diameter dimension equation of of work done​

Answers

Answer:

So a diameter is the same as two opposing radii. The formula for the area of a circle is A = π r2, where r is the length of the radius of a circle. We can use our knowledge that a diameter is made up of two radii to understand that r = d/2.

Explanation:

An issue the students encountered is that the marble doesn't land on the launch pad all of the time. To remedy this, they consider constructing a funnel to help direct the marble. How do you suggest the students move forward with their design process in order to find a solution?
A Test funnels of the same size and material with varying sized openings.
B Test funnels of the same shape and size with varying materials.
C Test funnels with identical openings and material with varying size.
D Test all of the above funnels and then construct a funnel with the best design elements from each.​

Answers

I suggest that the students move forward with option A.

Test funnels of the same size and material with varying sized openings. This will allow them to determine the optimal size for the opening that will help direct the marble to the launch pad. Once they have determined the optimal size, they can move forward with constructing the funnel with that size opening.

To find a solution to the issue of the marble not landing on the launch pad consistently, I suggest the students follow a systematic approach in their design process. Option D, testing all of the above funnels and then constructing a funnel with the best design elements from each, would be the most comprehensive and effective approach.

By testing funnels of different sizes, materials, and openings, the students can gather valuable data and insights about how each factor affects the marble's trajectory. This will help them identify the key design elements that contribute to successful landing on the launch pad.

Once the students have tested the various funnels, they can analyze the results and determine which design elements worked best in terms of directing the marble accurately. By combining these successful elements, they can then construct a new funnel that incorporates the best features from each tested funnel. This iterative approach allows them to refine their design and increase the chances of achieving consistent and reliable results.

Therefore, option D provides a comprehensive method for the students to explore different design possibilities, gather data, and ultimately create an improved funnel design.

how does the frequency of the transverse wave change as it moves into a new medium, from a gas to a liquid?

Answers

Transverse waves cannot be formed in liquids or gases because they lack the ability to bend their shape. Transverse waves include, for instance, light waves.

What is Transverse wave?Transverse waves are a particular sort of wave motion where the particle movement is perpendicular to the direction of wave propagation. Both the surface of liquids and solids can produce it.A traveling wave whose oscillations are perpendicular to the wave's direction is said to be transverse. By fastening one end of the string and moving the other up and down, you can easily make a wave on a horizontal piece of string.Because the particles move in a direction that is opposite to the direction of the wave, this sort of wave is given its name. Transverse waves may be electromagnetic or mechanical in nature. A disturbance that moves through a medium is called a mechanical wave.

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If acceleration of a body starting from the rest is 0.5m/s^2 how long will it take the body to travel 400m(if u are genius answer this)​

Answers

Answer:

pls I don't understand it

Explanation:

can you follow me pleaee??

The relation between linear and angular acceleration is:

Answers

Answer:

α=atr

the relationship between linear accelaration and linear accelaration is proportional. The greater the angular acceleration is, the larger the linear (tangential) acceleration.

Hello I need help with this science problem
A= N= ​

Hello I need help with this science problemA= N=

Answers

Answer:

charge of the atom =  -1

charge of the nucleus = 4



What branch of science is the system-
atic study of God's physical creation
and how it works?

Answers

Answer:

Physical science

Explanation:

Why is Pizza so good?

Answers

I honestly don’t know-

Answer:

its the cheese

Explanation:

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