An 80.0 kg merry-go-round of radius 1.20 m is accelerating horizontally from rest by a constant force of 70.0 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 5.00 s. (Assume it is a solid cylinder.)

Answers

Answer 1

The kinetic energy of the merry-go-round after 5.00 s, when a constant force is applied tangentially to it, is determined as 3,069.5 J.

Conservation of angular momentum

The kinetic energy of the merry-go-round is determined by applying the principle of conservation of angular momentum as follows;

Iα = rF

where;

I is moment of inertia of the merry-go-round (solid cylinder)

I = ¹/₂mr²

I = ¹/₂ x 80 x (1.2)²

I = 57.6 kgm²

α = (rF)/I

α = ( 1.2 x 70) / (57.6)

α = 1.46 rad/s²

Tangential acceleration of the merry-go-round

a = αR

a = 1.46 x 1.2

a = 1.752 m/s²

Velocity of the merry-go-round

The velocity of the merry-go-round after 5 s is calculated as follows;

v = u + at

v = 0 + (1.752x 5)

v = 8.76 m/s

Kinetic energy of the merry-go-round

K.E = ¹/₂mv²

K.E = ¹/₂ x 80 x 8.76²

K.E = 3,069.5 J

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Related Questions

What is wave motion ?​

Answers

Explanation:

Literally wave motion is a motion which is like wave .It denotes to transfer of energy and momentum.It is denoted to transfer of matter between two mediums virtually not actually.

As the wavelength of electromagnetic radiation increase

Answers

Answer:

the frequency and the radiation of radiation decreases.

Explanation:


The glass is attracting the pieces of paper. What does
this tell you about the charges on the glass and the
paper?

Answers

Answer:

If the charges of both the paper and glass attract we can deduce that both charges with opposite signs. If they were repelling each other then their charges would have the same sign.

so in this case:

ONE HAS A POSITIVE CHARGE WHILE THE OTHER HAS A NEGATIVE CHARGE

How can a mutation during replication affect the DNA?

The DNA strands are broken.

The DNA strands are continuous.

The DNA strands are identical.

The DNA strands are different.

Answers

Answer:

D. The DNA strands are different

Explanation:

K12 and I took the test

Here is proof

A mutation during replication affect the DNA cause the DNA strands are different. hence option D is correct.

What is DNA ?

Deoxyribonucleic acid is a polymer composed of two polynucleotide chains that coil around each other to form a double helix. The polymer carries genetic instructions for the origin, functioning, development, and reproduction of all known organisms and viruses. DNA and ribonucleic acid (RNA) are examples of nucleic acids. Nucleic acids, together with proteins, lipids, and complex carbohydrates (polysaccharides), are one of the four basic macromolecule groups necessary for all known forms of life.

Because they are made up of simpler monomeric units called nucleotides, the two DNA strands are known as polynucleotides. Each nucleotide is made up of one of four nitrogen-containing nucleobases (cytosine, guanine [G], adenine [A], or thymine [T]), deoxyribose, and a phosphate group. Covalent bonds link the nucleotides together to form a chain.

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If 1.5 kilograms of water is to be heated from 20.0°C to 75°C to make a cup of
tea, how much heat must be added? The specific heat of water is 4.18 J/kg°C. *

Answers

Answer:

142428.358 J must be added per kg of water.

Explanation:

because the heat of the water is 4.18 J per kg of water then 75 degrees Celcius is 142,432 J then 142432.53750000108 - 4.18 = 142428.358 J for per kg of water.

After a neutral object loses 2 electrons, it will have a
net charge of
A) -2 elementary charges
B) +2 elementary charges
C) -3.2 x 10-19 elementary charge
D) +3.2 x 10-19 elementary charge

Answers

Answer:

the measured charge will be -2 elementary charges.

Explanation:

select and explain three features of the solar panel that maximises the final temperature of the water​

Answers

Answer:

Irradiance (sunlight intensity or power), in Watts per square meter falling on a flat surface. ... Air Mass refers to “thickness” and clarity of the air through which the sunlight passes to reach the modules (sun angle affects this value). ... Cell temperature , which will differ from ambient air temperature

14*3(36/2(1*3)/6
[tex]14 \times 3(36 \div 2(1 \times 3) \div 6[/tex]

Answers

10.5remember pemdasparenthesesexponents excluded for this problemmultiplicationdivisionadditionsubtractionstep 1. start with what is at the top of the list.parenthesesstep 2. do 1 times 3 since it comes before division, and is in parentheses.

1 × 3 = 3

step 3. find 36 divided by 2

36 ÷ 2 = 18

step 4. add the values together

18 + 3 = 21

step 5. find 14 times 3

14 × 3 = 42 you can also do 7 × 6 and will get the same result because 7 is half of 14 and 3 is half of 6

step 6. add what is outside the parentheses

21 + 42 = 63

step 7. divide by 6

63 ÷ 6 = 10.5 [tex]-- >[/tex] 10 remainder of 3 remainder means left over

Calculate the resistance of 1 km long copper wire of radius 1 mm.
(specific resistance of copper is 1.72 * 10^-8 ohm meter) ​

Answers

given:

Length, l=1 km=1000 m

Radius, r=1 mm=10^−3 m

to find:

the resistance.

solution:

Specific resistance of copper:

ρ=1.72×10^−8

Area of cross-section:

A=π×r2=3.14×10^−6 m^2

Let the resistance be R.

As we know, R=ρ l/A

On substituting values:

R=1.72×10^−8×10^3/3.14×10^−6

=5.5 ohm

⇒ Resistance of the copper wire, is 5.5 ohm.

5.5 Ω

Explanation:

Given : l = 1 km = 1000 m, r = 1 mm = 10^-3 m,

[tex]a = \pi {r}^{2} [/tex]

[tex]= > 3.14 \times ( {10}^{ - 3} )^{2} \\ = > 3.14 \times {10}^{ - 6} \: {m}^{2} .[/tex]

[tex]specific \: \: resistance \: \: ρ \: \\ = > 1.72 \times {10}^{ - 8} Ω \: m[/tex]

Resistance (R) :-

[tex]R \: = ρ \times \frac{l}{a} \\ \\ = > \frac{(1.72 \times {10}^{ - 8} ) \times 1000}{3.14 \times {10}^{ - 6} } \\ \\ = > 5.5 \: Ω[/tex]

Hope it helps you!!

Kinetic energy and mass are ____ proportional.

Answers

Answer:

directly

Explanation:

Answer: Directly

Explanation:

define health psychology

Answers

Answer:

"Health psychology is a specialty area that focuses on how biology, psychology, behavior, and social factors influence health and illness."

-Verywell Mind

Hope I helped!

Explanation:

If the error in the angle is 0.50, the error in sin 90° is​

Answers

The error in the measurement of sin 90 degrees at the given error in angle is  0.001.

Error in measurement

The error in measurement is obtained from the difference between the actual measurement and the observed measurement.

The error of sin 90 degrees is calculated as follows;

Actual measurement = sin 90 = 1

Observed measurement = sin(90 - 0.5)

Observed measurement = sin(89.5) = 0.999

Error in measurement of sin 90 degrees

Error in measurement = Actual measurement - Observed measurement Error in measurement = 1 - 0.999

Error in measurement  = 0.001

Thus, the error in the measurement of sin 90 degrees at the given error in angle is  0.001.

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Fill in the blanks:
Words: Increases, decreases, Dimmer, is the same

1) When we add another lamp into a series circuit, the total resistance _____, this means that the total current _____. Also, the potential difference across each of the lamps ______. This means that the lamps all become_____.

2)When we add another lamp into a parallel circuit in a new branch, the total resistance ________, the current through each lamp ______. Also, the potential difference across each of the lamps ______. This means that the lamps have the same brightness.

Answers

Answer:

See Below

Explanation:

1) When we add another lamp into a series circuit, the total resistance increases, this means that the total current is the same. Also, the potential difference across each of the lamps decreases. This means that the lamps all become dimmer.

2)When we add another lamp into a parallel circuit in a new branch, the total resistance decreases, the current through each lamp decreases. Also, the potential difference across each of the lamps is the same. This means that the lamps have the same brightness.

In one or two sentences make and justify a claim about two aspects of the picture that illustrate behaviors of light.

Answers

We can make the claim that light can be reflected, which is justified by the reflection seen on the water as well as the colors seen in the photo.

How can we tell that light is being reflected?

We can claim that light can and is being reflected in this image due to the reflection in the water as well as the colors. As the light traveling in the air collides with the water, it abruptly changes speed, causing a portion of these waves to be reflected back, thus creating a mirror image on the surface of the water. This is also the case with colors, which are caused by a material reflecting all but one wavelength of light.

Therefore, we can confirm that it is possible to make the claim that light can be reflected, which is justified by the reflection seen on the water as well as the colors seen in the photo.

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A cart of mass 4.0 kg is being pulled with a force of 24 N. The cart accelerates at 3.0 m s-2. What is the net force on the cart?

Answers

Answer:

waitt in comments... .................

what do i ask hmmmm oh i know what is gravity?

Answers

Answer:

Gravity is the force that keeps us on our planet.

Explanation:

In space, the more mass you have, the more gravity you have. We all have gravity, however earth overpowers it.

Gravity is what keeps us all from floating into the depths of space

A natural disaster speech​

Answers

A massive negative event that comes together in the form of a Tsunami, Tornado, Earthquake, or others and terrorizes people living in that area.

4.0 J of work are performed in stretching a spring with a spring constant of 2500 N/m. How much is the spring stretched?

Answers

[tex]energy = elastic \: potential[/tex]

[tex]4 = \frac{1}{2} kx {}^{2} [/tex]

[tex]4 = \frac{1}{2} (2500)x {}^{2} [/tex]

[tex]4 = 1250x {}^{2} [/tex]

[tex]x {}^{2} = \frac{4}{1250} = 0.0032 \: meters[/tex]

[tex]x = \sqrt{0.0032} = 0.05657 \: meters[/tex]

A plane mirror is used to
O A. create light energy.
OB. model wave movements.
OC. separate colors of light.
OD. reflect light.

Answers

a plane mirror is used to reflect light to our eyes

Which of the following distinguishes the isotope uranium-238 from the isotope uranium-235?

A.number of neutrons in the nucleus

B.location on the periodic table

C.amount of negative charge

D.ability to form ions

Answers

Answer: A

Explanation:

Isotopes of different elements differ by the number of neutrons inside the nucleus.

The isotope of uranium-238 is different from the isotope uranium-235 by number of neutrons in the nucleus.

What is isotope?

Isotopes are two or more types of atoms that have the same atomic number and position in the periodic table, and that differ in nucleon numbers due to different numbers of neutrons in their nuclei.

What is uranium-238?

Uranium-238 is the most common isotope of uranium found in nature, with a relative abundance of 99%. It can be used for radiation shielding or as projectiles in armor-piercing weapons.

What is uranium-235?

Uranium-235 is the only naturally occurring fissile isotope, which makes it widely used in nuclear power plants and nuclear weapons.

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What is meant by the phrase "a consistent method of measurement"?
• A. The same person performs all measurements.
• B. Variables are measured using the same method each time.
O C. All measurements are in non-Si units.
• D. You only take one measurement.
SUBMIT

Answers

Answer:

B same method

Explanation:

How much work is done by a weightlifter who uses a force of 350 N to lift a weight 1.5 meters?​

Answers

Answer:

525 j

Explanation:

Work = force * distance

               350 N * 1.5 m =

The spacecraft Magellan's fifth orbit around the Venus was at a mean altitude of 3.01 x 105 m. What was its period? Mean radius of Venus = 6.05 x 106 m. Mass of Venus = 4.87 x 1024 kg.

Answers

The period of the orbit of the spacecraft around Venus is 5187.3 seconds.

What did the period of motion of a an object?

The period, T, of an object in circular motion is the time taken for one complete revolution.

The period, T, of the planetary body is given as:

[tex]T = 2\pi\sqrt{\frac{r^{3}}{Gm}}[/tex]

where;

r is the radius G is universal gravitational constant = 6.67 × 10^-11 Nm^2/kg^2m is the mass

Substituting the values:

[tex]T = 2\pi\sqrt{\frac{(6.05 \times 10^{6})^{3}}{6.67 \times 10^{ - 11} \times 4.87 \times 10^{24}}} = 5187.8s[/tex]

Therefore, the period of the orbit of the spacecraft is 5187.3 seconds.

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Need Help Immediately. Brainly will be given to the best response!

Answers

Answer: Its (B)

Explanation

Answer:

Option B

Explanation:

See angular velocity is decreasing with respect to time , angular acceleration is negative .

The slope of the graph should be angular acceleration as slope is change in y with respect to x .

Here initial velocity made twice

so y intercept or vertical intercept should go twice up wards.

The horizontal intercept will also go twice rightwards because slope or angular acceleration is constant given .

If scale is one box=1units

new vertical intercept=2(3)=6New horizontal intercept=2(3)=6Draw a line to connect them .

Remember that displacement will be doubled also

A car with a mass of 1500 kg is traveling at a speed of 30 m/s what force must be applied to stop the car in 3 seconds

Answers

Answer:

15 000 N

Explanation:

Newtons Law 2. When a body is acted upon by a force, the time rate of change of its momentum equals the force.

F=ma

a=30m/s / 3s=10m/c²

F=1500kg*10m/c²=15 000 N

force and ___ work together cause objects to move or to stay in place

Answers

Answer:

frictional force

what is 123° in radians

Answers

Answer:

2.14675

Explanation:

Formula: 123° × π/180 = 2.147rad

Astronomers classify galaxies into three basic types: spiral, elliptical, and irregular. If the Sun and Earth were located on the edge of an elliptical galaxy, what would you expect to see when you look up in the sky at night

Answers

Most of the night sky would be dark with only a few stars if the solar system were moved on the edge of galaxy.

What we can see at night if sun and earth moved to the edge?

If the Sun and Earth were moved on the edge of an elliptical galaxy, we can see most of dark and few stars in the sky at night because stars are present at large number at the center of galaxy and fewer at th edges.

So we can conclude that most of the night sky would be dark with only a few stars if the solar system were moved on the edge of galaxy.

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PLS HELP MEEEE

1. A large positive charge is placed very far away from a small negative charge. Which of the best explains the interaction between the two charges?

(Standard SPS10 c)

A. An attractive, weak force
B. A repulsion, strong force
C. A repulsive, weak force
D. An attractive, large force

Answers

Answer:

A. An attractive, weak force

Explanation:

I got it right

An attractive, weak force best explains the interaction between the two charges. The force between two charges is known as the Columb's force.

What is the charge?

When the matter is put in an electromagnetic field, it has an electric charge, which causes it to experience a force. A positive or negative electric charge can exist.

Charges that are similar repel each other, whereas charges that are dissimilar attract each other. The term "neutral" refers to an item that has no net charge.

A large positive charge is placed very far away from a small negative charge. Due to the far distance, the force will be a weak force.

While due to the opposite polarity the charge is attractive in nature.

Hence an attractive, weak force best explains the interaction between the two charges

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A 2510 kg car, moving at 23.0 m/s, runs into a car that has a mass of 1750 kg
and is moving at 12.3 m/s in the same direction. The cars stick together after
the collision. Assuming momentum is conserved, what is their final velocity?
A. 18.6 m/s
B. 16.4 m/s
C. 19.3 m/s
D. 21.1 m/s

Answers

By conservation of momentum,

(2510 kg) (23.0 m/s) + (1750 kg) (12.3 m/s) = (4260 kg) v

where v is the velocity of the combined cars.

Solve for v :

(4260 kg) v = 79 255 kg•m/s

v ≈ 18.6 m/s

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