An amusement park designer wants his swing to have a centripetal acceleration of 24 m/s2. If the velocity of the swing is 11 m/s, how long should the chain on the swing be?
A. 6.5 m
B. 5.5 m
C. 5.0 m
D. 6.0 m

Answers

Answer 1

Answer:

radius is C: 5.0 m

Explanation:

formular for centripetal acceleration:

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

a is acceleration

V is velocity

r is radius

[tex]24 = \frac{ {11}^{2} }{r} \\ \\ r = \frac{ {11}^{2} }{24} \\ \\ r = 5.0 \: m[/tex]

Answer 2
Answer: 5.0 meters (choice C)

This length is approximate.

==========================================================

Explanation:

The centripetal acceleration formula we use is

a = (v^2)/r

where v is the linear velocity and r is the radius. The swing moves in a circular path, so the chain acts as the radius. If we can find the radius, then we have found the chain length. The goal is to find r when a = 24 and v = 11

So we have...

a = (v^2)/r

24 = (11^2)/r

24 = 121/r

24r = 121

r = 121/24

r = 5.041667 approximately

r = 5.0 meters when rounding to the nearest tenth

The chain should be approximately 5.0 meters.


Related Questions

Which of the following elements has properties different than the rest?
H
K
N
O

Answers

Answer:

I think K . If it not, then sorry.

Hope I helped you.

Answer: The answer [b] or also known as k

Explanation:

An engineering company needs to solve a design problem.
It is designing a high-speed train to transport passengers
between Boston and Atlanta.
Which statement is a criterion for this project?
O A. The train must not take more than six years to build.
B. The train must not have wheels with bearings that need
lubrication,
O C. The train must cost less than $150 million to design.
D. The train must be able to maintain a speed of 250 km/h.

Answers

The  engineering company must consider the speed of the train in the design.

The correct answer is option D.

To design a high speed train to transport passengers between Boston and Atlanta, the engineering company must include the following design criterion in the project:

the speed of the train: this must be high in order to satisfy the high-speed criterion in the statement of the problem.

Thus, the only statement in all the given options that considered speed of the train is option D.

"D. The train must be able to maintain a speed of 250 km/h."

Learn more here: https://brainly.com/question/16173068

Answer:

The train must provide a smooth ride for passengers between bosten and atlanta

Explanation:

An oil tanker has a mass of to, 40000 tonnes. It is 500m long and 40m wide. What is the mininum depth of harbor it requires?​

Answers

The minimum depth of harbor of the oil tank is 2.22 m

The given parameters:

mass of the oil tanker, m = 40,000 tonnes

length of the tanker, l = 500 m

width of the tanker, w = 40 m

To find:

minimum depth of harbor

Note: The specific gravity of oil is approximately 0.9

          The density of water ([tex]\rho_w[/tex]) = 1000 kg/m³

Covert the given mass to kilogram

1 tonne = 1000 kg

40,000 tonnes = 40,000,000 kg

The density of the oil tanker is calculated as:

[tex]S.G = \frac{\rho_o}{\rho_w} \\\\\rho_o = S.G \times \rho_w\\\\\rho_o = 0.9 \times 1000\\\\\rho_o = 900 \ kg/m^3[/tex]

The volume of the oil tanker is calculated as:

[tex]Volume = \frac{mass}{density} \\\\Volume = \frac{40,000,000}{900} \\\\Volume = 44,444.44 \ m^3[/tex]

The minimum depth of harbor is calculated as:

[tex]height = \frac{volume}{Length \times width} \\\\height = \frac{44,444.44}{500\times 40} \\\\height = 2.22 \ m[/tex]

The minimum depth of harbor of the oil tank is 2.22 m

Learn more here: https://brainly.com/question/18029392

which form of the energy is used to generate electrical energy in a tidal power station

Answers

Tidal energy is the form of energy used to generate electrical energy.

The form of the energy is used to generate electrical energy in a tidal power station is kinetic energy.

What is kinetic energy?

Kinetic energy is the energy that an object has as a result of its movement. If we intend to accelerate an object, we should indeed apply force to it. Using force requires us to put in effort.

After work is completed, energy is transmitted to the object, and the object moves at a new constant speed.

Tidal energy is generated by the movement of our tides and oceans, where the intensity of the water from tide rise and fall is a type of kinetic energy.

Tidal power is related to gravitational hydropower, which uses water movement to propel a turbine and generate electricity.

Thus, kinetic energy is used to generate electrical energy in a tidal power station.

For more details regarding kinetic energy, visit:

https://brainly.com/question/26472013

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A solid sphere and a solid cylinder , both uniform and having the same mass and radius, are released from rest at the same height on a ramp. If they roll down the ramp without slipping, which one will have the lower forward velocity at the bottom of the ramp?
a. The solid sphere
b. The solid cylinder
c. Both will have the same forward velocity

Answers

Answer:

I (cylinder) = 1/2 M R^2

I (sphere) = 2/5 M R^2

The equation  of motion shows

I * alpha = M g R sin theta = const

An increase in the moment of inertia will result in a smaller acceleration

The cylinder will have the smallest forward velocity because it will arrive at the bottom after the sphere

how many grams of CaCo3, will react with dil HCL to produce 75gm of Co2 ?​

Answers

Answer:

100g is correct answer.

Answer:

100 grams

Explanation:

CaCO3 ➡️ CaO + CO2

pls mark brainlies!

2 1.1.4 Quiz: Introduction to Physical Science
Question 2 of 10
Which expression correctly describes energy using SI units?
O A. 1 J = 1 kg-m/s2
O B. 1 J = 1 kg.m/s
C. 1 J = 1 kg:m2/s2
D. 1 J = 1 kg.m/s
SUBMIT

Answers

Answer:

A. 1 J= 1 kg•m²/s²      :)

Explanation:

Late one night on a highway, a car speeds by you and fades into the distance. Under these conditions the pupils of your eyes have diameters of about 7.0 m m. The taillights of this car are separated by a distance of 1.4 m and emit red light (wavelength = 660 nm in vacuum). How far away from you is this car when its taillights appear to merge into a single spot of light because of the effects of diffraction?

Answers

660 because 7.0 is added is 1.4

what do you mean by MA of a lever is 3 , VR of a lever is 4 and efficiency of a machine is 60%​

Answers

Explanation:V.R of a lever is 3 means effort distance of the lever is 3 times more than the effort distance of the load. ... Efficiency of a lever is 60% means 40% of the energy is wasted due to friction as no machine is Friction less.

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

Answers

Answer:

The answer is D. Four covalent bounds

How to use calculus in physics ?​

Answers

Explanation:

In Physics, many quanitties are the function of other quanitities.

For instance in kinematics, where the displacement (s), position (x), velocity (v) and time (t) of a particle are related.

Suppose the position of a particle can be descirbed as a function of time, i.e.

[tex]x=f(t)[/tex]

then since velocity is the rate of change of position, we write

[tex]v=\dfrac{d}{dt}f(t)=f'(t)[/tex]

which is the derivative of the poisiton/ time function.

On the other hand, the displacement of the particle is the sum of position changes over time, so the displacement can be defined by

[tex]s=\int^{t_1}_{t_0}f(t)dt[/tex]

which is the integration of postion/ time function.

PLEASE HELP
You are given a liquid mixture to identify as a colloid, suspension, or solution. When you shine light from a laser pointer you can see the beam spread out in the mixutre. Only some light passes through. What is the next test you should perform to determine the type of mixture?


Heat the mixture to evaporate the water.

Shine the light through again several times.

Wait to see if the particles settle out of the mixture.

Shake the mixture.

Answers

Waiting to see if the particles settle out of the mixture will be the next test to perform to determine the type of mixture.

What is a Mixture?

This comprises of two or more substances which aren't chemically bonded together.

Suspension is a heterogeneous mixture that settle out of solution while colloid is a heterogeneous mixture that do not settle out of solution which is why option C was chosen.

Read more about Mixture here https://brainly.com/question/2331419
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thanks for the points :D

Vector A has a magnitude of 75.0 cm and points at 30° above the positive x-axis. Vector B has a magnitude of 25.0 cm and points along the negative x-axis. Vector C⃗ has a magnitude of 40.0 cm and points at 45° below the negative x-axis.


(a) Determine the x and y components of Vector A

(b) Determine the x and y components of Vector B .

(c) Determine the x and y components of Vector C .

(d) Determine x and y components of the sum of these three vectors.

(e) Determine the magnitude of the sum of these three vectors.

(f) Determine the direction of the sum of these three vectors.

Answers

(a)

A = (75.0 cm) (cos(30°) i + sin(30°) j)

A = (75.0 cm) (√3/2 i + 1/2 j)

A ≈ (64.95 i + 37.5 j) cm

The x component is the coefficient of the i unit vector, while the y component is the coefficient of the j unit vector.

(b) "points along the negative axis" in other words means that B makes an angle of 180° with the positive x-axis in the counterclockwise direction. In particular this tells you that B is parallel to the x-axis, so its y component would be zero.

B = (25.0 cm) (cos(180°) i + sin(180°) j)

B = (25.0 cm) (-1 i + 0 j)

B = (-25.0 i) cm

(c) If the negative x-axis corresponds to 180°, then 45° below this would make an angle of 180° + 45° = 225° with the positive x-axis.

C = (40.0 cm) (cos(225°) i + sin(225°) j)

C = (40.0 cm) (-1/√2 i - 1/√2 j)

C ≈ (-28.28 i - 28.28 j) cm

(d) The sum A + B + C has components that are the sums of the components of each of A, B, and C.

A + B + C ≈ (11.67 i + 9.22 j) cm

(e) The magnitude of the vector sum is

||A + B + C|| = √((11.67 cm)² + (9.22 cm)²) ≈ 14.87 cm

(f) Since both components of the vector sum are positive, you know that it's a vector that terminates in the first quadrant of the x,y-plane, so it makes an angle with the positive x-axis of

arctan(9.22/11.67) ≈ 38.3°

A car is traveling at a constant speed on the highway. Its tires have a diameter of 65.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 49.0 rad/s , what is the speed of the car, in SI units

Answers

Answer:

Explanation:

The car is rolling without slipping so Vcm= R×ω = 0.325×49 = 16

Revolution: One orit of an object in space around another_ days?​

Answers

Answer:

365 days..

Explanation:

Hope it may help you シ︎♡︎

[tex] \huge\mathfrak\green{365 \: or \: 366 \: Days.}

[/tex]

[tex]Hope \: it \: helps[/tex]

what happens when you mix water and baking soda

Answers

Nothing much. It doesn’t explode. Lol

Convert 17800 seconds into day

Answers

Answer:

the answer is 0.206 day

hope this helps!

Answer:

17800 Second (s) = 0.206019 Day (d)

A uniform rod of length 0.7 m and mass 10 kg rotates freely about a horizontal axis passing through one end of the rod a bullet of mass 20 g traveling horizontally with velocity v=200 m/s penetrates the end of the rod. and hooked on the rod find the angular velocity of the rod when the bullet hits the bar

Answers

Answer:

ω = 1.7 rad/s

Explanation:

Conservation of angular momentum

Assuming the rod is initially hanging vertically at rest.

Initial angular momentum is carried by the bullet only

L = Iω = (mR²)(v/R) = mvR = 0.020(200)(0.7) = 2.8 kg•m²/s

the same angular momentum exists after impact, only the moment of inertia has increased by that of the rod. I = ⅓mR²

2.8 = (⅓(10)(0.7²) + 0.020(0.7²))ω

2.8 = (1.64313333...)ω

ω = 1.70406134...

astone is thrown upwards with an initial velocity of 25m/s atan angle of 30 to the ground.what is the work out the stones horizantal range ?

Answers

Answer:

Range is 62.5 metres

Explanation:

Time of flight

[tex]t = \frac{2u \sin( \theta) }{g} [/tex]

for range, acceleration is zero

from second newton's equation:

[tex]S = ut + \frac{1}{2} {at}^{2} [/tex]

but a = 0:

let range be x:

[tex]x = ut \\ x = \frac{2 {u}^{2} \sin( \theta) }{g} \\ \\ x = \frac{ \{2 \times 25 {}^{2} \sin(30 \degree) \}}{10} \\ \\ x = 62.5 \: metres[/tex]

[ taken g to be 10 m/s² ]

Name another way that energy is made

Answers

Answer:

The three major categories of energy for electricity generation are fossil fuels (coal, natural gas, and petroleum), nuclear energy, and renewable energy sources. Most electricity is generated with steam turbines using fossil fuels, nuclear, biomass, geothermal, and solar thermal energy.

Explanation:

Solar

Wind

Geothermal

Hydrogen

TidaWave

Hydroelectric

Biomass

prove the conservation of linear momentum​

Answers

Answer:

force experienced by A and B are equal and opposite, that is total momentum before collision is equal to total momentum after collision if no external forces act on them which proves the principle of conservation of linear momentum.

what is the function of thrombocytes

Answers

Answer:

the function of the thrombocytes is to clott blood

what is matter made of ?​

Answers

Explanation:

Matter is anything occupies space and has mass

Matter is made up small tiny particles called atom

Atom contains:-

Proton

Neutron

Electron

LESSON-THE PLANT Fairy

1) Fill in the blanks using given options.
( Grass, tree, Mehndi, shapes and colour)
a) Plants with thick or thin trunk are called as
b) Leaves of different plants have different
c) Didi was sitting on the
d) is a bush.

Answers

A. Tree
B. Shapes
C. Grass
D. Mehndi

_________statistics are measures that summarize the characteristics of a sample​

Answers

Answer:

Explanation:

Descriptive statistics statistics are measures that summarize the characteristics of a sample.

Hope it helps

A car speeds up from 0.0 m/s to 14.0 m/s
in 3.25 s.
The acceleration of the car is:
A. 14.0 m/s2
B. 4.31 m/s2
C. 45.5 m/s2
D. 10.8 m/s2​

Answers

Explanation:

Its speed is zero at the beginning of the 3.25 s and 14 m/s at the end.

I'm thinking you probably wanted to find the car's acceleration.

Acceleration =(change in speed) / (time for the change).

Acceleration =(14m/s )/ (3.25s) .

Acceleration = 4.31m/s² .

I hope it will help you so.

Have a great day.

Be safe and be happy.

So your answer option (b) when you approximate
Hope I have helped

Convert 4 centimeters to meters using dimensional analysis and scientific notation. Please go step by step as I am having difficulty with this subject.​

Answers

Answer:

[tex]thank \: you[/tex]

what happens to the value of g when we move from equator to the pole.the weight of an object is greater at poles than at equator .
why?​

Answers

We know that the size of the Earth is not a perfect sphere, it’s flattened near the poles and bulged near the equator. Since, the equator is bulged, the radius is greater. Since the radius is greater the gravity is lesser than compared to poles.

Hope you understand

Differences between law of flotation and Archimedes's principle​

Answers

Answer:

Differences between law of flotation and Archimedes's principle​

here

Explanation:

Diamond has a density of 3.26 g/cm3
. What
is the mass of a diamond that has a volume of
0.214 cm3
?
Answer in units of g

Answers

Explanation:

Hey there!

According to the question;

Density of diamond (d) = 3.26g/cm³

And Volume (v) = 0.214 cm³

Mass(m) = ?

From the definition of density;

d = m/v

Or, 3.26 g/cm³ = m/(0.214 cm³)

or, 3.26 g/cm³ * 0.214 cm³ = m

Therefore, mass of the diamond is 0.69764 g.

Hope it helps!

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