An object rotates describing a horizontal circumference when subjected to a centripetal force F. What centripetal force will act on the object if the radius of the circle is doubled and the kinetic energy of the object is halved? A) F/4 B) F/2 C) F D) 4F please explain this to me : (

Answers

Answer 1

Answer:

Option A:  F/4

Explanation:

Centripetal force, [tex]F = \frac{mv^{2} }{r}[/tex]

Where v = speed

r = radius

Since Kinetic Energy, [tex]E_{k} = 0.5 mv^{2}[/tex]

Writing centripetal force in terms of kinetic energy, [tex]F = \frac{2 E_k}{r}[/tex]

If the initial radius of the circle, r₁ =r

The doubled radius, r₂ = 2r

If the initial kinetic energy, [tex]KE_1 = E_{k}[/tex]

The halved kinetic energy,  [tex]KE_2 = 0.5E_{k}[/tex]

Therefore, the new Centripetal force becomes:

[tex]F_{2} = \frac{2(0.5 E_k)}{2r} \\F_{2} = \frac{0.5 E_k}{r}\\F_{2} =\frac{1}{4} * \frac{2 E_k}{r}\\Since, F = \frac{2 E_k}{r} \\F_{2} =\frac{1}{4} * F\\F_{2} =\frac{F}{4}[/tex]


Related Questions

40 POINTS!!! + BRAINLIEST!!!

In your own words, explain how a pendulum demonstrates the concepts of the conservation of energy. (1 or 2 sentences long)

Answers

Answer:

I think it is better if you read and shortly write my explanation

Explanation:

simple pendulum with no friction, mechanical energy is conserved. Total mechanical energy is a combination of kinetic energy and gravitational potential energy. As the pendulum swings back and forth, there is a constant exchange between kinetic energy and gravitational potential energy.

How can one find the mechanical advantage of a pulley?

Answers

Answer:

To calculate the mechanical advantage of a pulley you simply have to count the number of rope sections that support whatever object you are lifting (not counting the rope that is attached to the effort)

Example:

For example, in a one pulley system the MA is 1. In a two pulley system the MA is 2. The more compound the pulley is the easier the load is to lift. If you were lifting a 600kg object with 2 pulleys you would have to use enough effort to pull 300kg to lift the 600kg object! Therefore your mechanical advantage would be 2 (600/300).

               MA= load/effort OR number of rope sections

Count the numbers and then support whatever you are lifting (object)

Please answer these: Q1. i. In what two ways combustion can be useful to us? Explain by giving examples. ii. Explain why decomposition of sugar on heating is an irreversible change. Q2. In order to answer this question you need to look around your immediate surroundings to find examples of rusting of iron or any other metal. i. What makes iron rust? ii. Why is the rusting of iron a problem? Give any 3 examples from daily life where rusting has been a disadvantage. iii. Suggest any two ways that can help prevent rusting of iron. Q3. i. Give two differences between a physical change and a chemical change. ii. Explain whether condensation of water vapour is a physical or a chemical change. iii. Write word equations for the following reactions: a. Breaking down/ electrolysis of water b. synthesis of water c. decomposition of sugar d. photosynthesis in plants

Answers

Answer:

1) combustion can be used as a source of energy.

Combustion is used to power rockets

ii) Decomposition of sugar is a chemical change and new substances are formed.

2)corrosion of pipes

Corrosion of bridges

Corrosion of knives and blades at home

I) iron rusts due to the action of air and moisture bon the metal setting up an electrochemical process in which the iron is the anode. This leads to the corrosion of the iron metal.

ii) Rusting is a problem because it reduces the economic value of iron. Rust weakens iron and threatens the integrity of materials made from iron.

Iron rusting may lead to the collapse of a bridge

Iron rusting makes a blade blunt

Iron rusting weakens pipes made of iron

iii) Rusting of iron can be prevented by galvanizing the iron or by painting the iron.

3) chemical change leads to the formation of a new substance while physical change does not lead to the formation of a new substance.

Chemical changes are not easily reversible while physical changes are easily reversible.

ii)condensation of water vapour is a physical change

iii)

Electrolysis of water;

Two moles of water---> two moles of hydrogen gas + one mole of oxygen gas

Synthesis of water;

two moles of hydrogen gas + one mole of oxygen gas---->Two moles of water

Decomposition of sugar;

One mole of Sucrose---> twelve moles of carbon + eleven moles of water + heat

Six moles of carbon dioxide + six moles of water +energy------> one mole of sugar + six moles of oxygen

Explanation:

Combustion is useful as a source of energy because it is used in power generation. Currently, combustion is being used to power rockets. It is also used as a way of providing heat at home.

One of the characteristics of a chemical change is that it leads to the formation of new substances. Since the decomposition of sugar leads to the formation of carbon and water, it is an irreversible chemical change.

When water is heated, it is converted into vapour which can settle on a surface and convert back to liquid water. This is a physical change.

what happens to the moleclues within a gas when the gas Condeenses

Answers

Condensation happens when molecules in a gas cool down. As the molecules lose heat, they lose energy and slow down. They move closer to other gas molecules. Finally these molecules collect together to form a liquid. Hope it helps

A tow truck is pulling 25,000 kg van with a tow hook that meets the van at an angle of 30° with the ground. How much force must the tow trucl use to pull the van with an initial acceleration of 3m/s2...!?

Answers

Answer:

86605.08 N

Explanation:

The equation to calculate the force is:

Force = mass * acceleration

The force and the acceleration does not have the same direction in this case, so we need to decompose the force into its horizontal component, which is the force that will generate the horizontal acceleration:

Force_x = Force * cos(30)

Then, we have that:

Force_x = mass * acceleration

Force * cos(30) = 25000 * 3

Force * 0.866 = 75000

Force = 75000 / 0.866 = 86605.08 N

what is the defination of temperature ​

Answers

Answer:

Temperature is a physical property of matter that quantitatively expresses hot and cold

Explanation:

Answer:

Temperature is the degree of hotness or coldness in a body

Explanation:

it is measured by the Average kinetic energy of the body. It is independent of the mass,it's measured in °C(Celsius),K(kelvin),°F(Fahrenheit)

How much power is used by 4 A appliance that is plugged into a 120 V circuit for 4 minutes

Answers

Answer:

Power, P = 480 W

Explanation:

It is required to find the power used by 4 A appliance that is plugged into a 120 V circuit for 4 minutes. Power used by an appliance is given by the formula as follows :

[tex]P=VI[/tex]

Plugging all the values we get :

[tex]P=120\times 4\\\\P=480\ W[/tex]

So, the power used by the appliance is 480 W.

Please help
Right answers please
Will mark brainliest

Answers

Answer:

a. 45 N. / b. 0.08 m/s^2. / c. 102 N

F = ma

F = 15(3)

F = 45 newtons

F/m = a

20/250 = a

0.08 m/s^2 = a

R = ma

R =1.5(68)

102 N

When salt is added to the water what happens to the surface?

Answers

Answer:

it increases the surface tension of the water

conditions for equilibriam

Answers

Statics is the study of forces in equilibrium. Two conditions must be met to achieve equilibrium, which is defined to be motion without linear or rotational acceleration. The first condition necessary to achieve equilibrium is that the net external force on the system must be zero, so thatnet F=0. net F = 0 .

Explain two applications of resonance

PLEASEEEE HELP ME! ​

Answers

Answer:

in physics, resonance is a phenomenon in which a vibrating system or external force drives another system to oscillate with greater amplitude at specific frequencies. example a familiar example is a playground swing, which acts as a pendulum.

hope this helped!

A 1.2 m steel rod moves through a uniform magnetic field of 0.020 T at 30 m/s. What emfis induced between the two ends of the steel rod?

0.36 V

0.50 V

0.60 V

0.72 V

Answers

Answer:

0.50v

Explanation:

Now EMF is induced when there is motion of a conductor in an electric field. Michael Faraday in the annals of scientific history discovered this.

This is expressed mathematically as;

E = Magnetic field / t

but t = d/ v; d- distance, v-velocity, time

Hence E = magnetic field/ d/v

= Magnetic field× v/ d

= 0.02×30/ 1.2= 0.5

0.50 V


Explanation: yea that’s the answer

Two forces oppose each other while a star is stable. The first is gravity pulling inward. What is the
other force?

Answers

Answer:

the radiation pressure that has to push the star

Explanation:

In the stars there are two forces that act in the opposite direction.

- On the one hand there is the force of gravity that the star has to collapse

- On the other is the radiation pressure that has to push the star. This pressure comes from the radiation and velocity of the particles involved in nuclear reactions.

what is the wavelength of the radio waves transmitted by an FM station at 90MHz where 1M=10^6 AND THE SPEED OF RADIOWAVE IS 3*10^8m/s

Answers

Answer: 0.3m

Explanation:

Given the following :

Speed of radio wave(V) = 3 × 10^8 m/s

If 1M = 10^6

Frequency(F) = 90MHz = 90 × 10^6

Wavelength (λ) =?

Speed of wave (V) = frequency(F) × wavelength(λ)

V = fλ

(3 × 10^8) = (90 × 10^6) × λ

λ = (90 × 10^6) / (3 × 10^8)

λ = 30 × 10^(6 - 8)

λ = 30 × 10^-2

λ = 0.3m

energy is the ability to___or___ matter​

Answers

Energy is defined in science as the ability to move matter or change matter in some other way.

A wave has an amplitude of 2 cm. What is its energy (KW)?

Answers

Answer:

1.962 × 10⁻³ kW

Explanation:

The energy of a wave of a wave, such as an ocean wave, in regions of considerable water depth given its amplitude in a meter of crest and surface  unit is given by the relation;

[tex]E = \dfrac{\rho \times g \times A^2}{2}[/tex]

Where:

ρ = Density of water = 1000 kg/m³

g = Acceleration due to gravity = 9.81 m/s²

A = Wave amplitude = 2 cm = 0.02 m

We therefore have;

[tex]E = \dfrac{1000 \times 9.81 \times (0.02)^2}{2} = 1.962 \ \dfrac{m^2 \cdot kg}{s^2} = 1.962 \ J[/tex]

The energy is power is the energy per second which is gives;

P = E /second = 1.962 J/s = 1.962 W = 1.962 × 10⁻³ kW.

what are two things that are infinite?

Answers

Answer:

Infinity = Never ending

Explanation:

The universe could be infinite, both in terms of space and time, but there is currently no way to test whether it goes on forever or is just very big. The part of the universe we are able to observe is finite, measuring about 46 billion light years in diameter.

The set of natural numbers is an infinite set. This kind of infinity is, by definition, called countable infinity. All sets that can be put into a bijective relation to the natural numbers are said to have this kind of infinity. This is also expressed by saying that the cardinal number of the set is aleph-naught (ℵ0).

Hope this helps. Mark as brainliest!

STARS ARE INFINITE , NUMBERS ARE INFINITE

Explanation:

plzz help! i need it now!!!!
be 100% sure of the answer plzzz

Answers

The answer is friction


The output work is always less than the input work because some of the input work is used to overcome friction

Answer:

Equal effort force

Explanation:

A class 1 lever has the support between the load and the effort hence the load tilts the plain at one end containing the support we would require an effort equal and opposite to the load to ensure movement .

Las ruedas de una locomotora de 500 toneladas tiene un coeficiente de friccion estatico con las vias de 0.15 ¿Cual es la fuerza de traccion tangencial maxima ejercida entre las vias y las ruedas?

Answers

Answer:

Ff = 7.35*10^5 N

Explanation:

To find the maximum transverse pulling force you use the following formula, for the friction force:

[tex]F_f=\mu N=\mu Mg[/tex] (1)

μ: friction coefficient = 0.15

N: normal force, which is equal to the weight over the wheel

M: mass of th train = 500 ton = 500 000 kg

g: gravitational acceleration = 9.8 m/s^2

You replace the values of the variables in the equation (1):

[tex]F_f=(0.15)(500000kg)(9.8m/s^2)=735000 N=7.35*10^5N[/tex]

hence, the maximum transverse pulling force is 7.35*10^5 N

If kinetic energy of a body is increased by 125%, the percentage increase in Momentum is?

Answers

Answer:

50 %

Explanation:

It's Fifty percent

Jess wants to make her house more energy efficient. She has two options, A or B. Option A is double-glazing her patio doors, which will cost £350 and save £15 per year. Option B is insulating her loft, which will cost £460 and save £25 per year. Is option A or option B the better long-term option?

Answers

B is the better long term option

Jess wants to make her house more energy efficient. Insulating her loft, which will cost £460 and save £25 per year, is better long-term option. Therefore, option B is correct.

What is energy ?

In order to accomplish work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is the quantitative attribute that does this. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.

Computers, vehicles, communications, state-of-the-art medical technology, and many other things are all powered by energy. The demand for dependable and economical energy is especially pressing for emerging countries. It may enhance things or perhaps save lives.

A turbine generator set transforms mechanical energy into electrical energy to produce electricity. Natural gas, coal, nuclear fission, biomass, petroleum, geothermal, and solar thermal are examples of energy sources where the heat generated is used to produce steam.

Thus, option B is correct.

To learn more about energy, follow the link;

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8. Simple machines make a job easier to perform by
a. decreasing the amount of work
b. decreasing the amount of friction
c. decreasing the amount of force and/or changing the direction of force
d. only lower the amount of force

Answers

Answer:

C

Explanation:

calculate the frequency of a wave that is traveling at a speed of 3.0 m/s and has a wavelength of 1.2m

Answers

Answer:

2.5 Hz

Explanation:

3.0m/s / 1.2 m=2.5 1/s=2/5 Hz

The frequency of a wave with speed of 3.0 m/s and has a wavelength of 1.2m is 2.5 Hz.

What is frequency?

The frequency of a wave is the number of cycles per second.

Given the wavelength is 1.2 m and speed v =3.0m/s, then the frequency of the wave is

v =fλ

f = 3 / 1.2

f = 2.5 Hz

Thus, the frequency of the wave is 2.5 Hz.

Learn more about frequency.

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In simple terms describe diffraction, refraction and reflection. Give examples for each.​

Answers

Answer:

Refraction is the bending of life an example would be how when you put a straw in a glass and it looks like the straw gets detached from itself. Reflection is when light bonces off of something an example would be a mirror.

Explanation:

The way a mirror works is the light you see bounces off of the glass and gives your optical sensors the vision of what the glass reflected.

Answer:

Diffraction , refraction and reflection all are property of light that shows its wave nature.

Explanation:

What is diffraction?

When a light ray passes through a narrow single slit , the superposition of secondary wavelets produced by the same source , is called diffraction.

Example ; Single slit experiment in which the diffraction shows maxima and minima .

What is refraction ?

The banding of light due to variation in the speed of light when it travels from one medium to another is called refraction.

Example; Divergence or convergence by lenses.

What is reflection ?

The bouncing back of light from a surface is called reflection.

Example : Mirrors.

Hence all the given topics are explained.

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Density changes are responsible for which method of thermal energy transfer. ​

Answers

Answer:

convection

Explanation:

because in convection, molecules move with heat(i.e wind). So, when molecules move to another place, the mass will be reduce and the density will change

The acceleration due to gravity of jupiter is 25meter per second squar.what does it means?​

Answers

Answer:

That due the the gravity anything that falls in its gravity accelerates by 25metres per second

Explanation:

Consider a cylindrical crew module with a diameter of 5 meters, a length of 15 meters, and a crew of 6 people. The module contains air that is at
standard sea-level atmospheric pressure and temperature. The sea level density of air at 20 degrees Celsius is 1.204 kg/m3.
What is the volume of the crew module? Provide your answer in m' with at least 2 decimal places.​

Answers

Answer:

  294.524 m^3

Explanation:

The volume of a cylinder is given by the formula ...

  V = πr^2h

For a radius of 2.5 m and a length of 15 m, the volume is ...

  V = π(2.5 m)^2(15 m) = 93.75π m^3 ≈ 294.524 m^3

The volume is about 294.52 cubic meters.

Question 3 of 5
2 Points
Which term refers to a transfer of thermal energy between objects?
A. Potential energy
B. Kinetic energy
C. Heat
D. Temperature
SUSMIT

Answers

Answer:

Explanation:

Kinetic energy

Answer is kinetic energy

Please explain how you got the answer :(

Answers

Answer:

36.5 kJ

Explanation:

Energy by machine = energy to machine × efficiency

E = 52.1 kJ × 0.70

E = 36.5 kJ

Solar energy is a form of
energy from the Sun.
OA) heat
OB) nuclear
OC) mechanical
OD) electromagnetic​

Answers

Answer:

Solar energy is a form of Electromagnetic energy

Explanation:

Solar energy is constantly flowing away from the sun and throughout the solar system. Solar energy warms the Earth, causes wind and weather, and sustains plant and animal life. The energy, heat, and light from the sun flow away in the form of electromagnetic radiation (EMR

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