A 2kg object is tied to the end of a cord and whirled in a horizontal circle of radius 2 m. If the body makes three complete revolutions every second,

what is its linear speed?

And what is its centripetal acceleration?

Answers

Answer 1

Answer:

a) 37.70 m/s

b)710.6 m/s²

Explanation:

Given that ;

Mass of object = 2 kg

Radius of the motion = 2m

Frequency of motion = 3 rev/s

The formula to apply is;

v= 2πrf   where v is linear speed

v = 2×π×2×3 =12π = 37.70 m/s

Centripetal acceleration is given as;

a= 4×π²×r×f²  

a= 4×π²×2×3²

a=710.6 m/s²


Related Questions

Bro help me

Explain how an object with a higher temperature can have less thermal energy than an object with a lower temperature. ASAP

Answers

Thermal energy is the sum of the energy of all the particles. That means that large objects at a low temperature (with slower moving particles) can have more energy than small objects with high temperatures (faster moving particles). The faster the particles, the more energy they can transfer.

The total energy of all the particles makes up thermal energy. This implies that larger objects with slower-moving particles at low temperatures can have more energy than smaller ones with higher temperatures.

What is thermal energy?

Thermal energy is the sum of the energies of all the particles. This implies that larger objects at low temperatures can have more energy than smaller ones at higher temperatures due to slower-moving particles.

These molecules and atoms move more quickly when something is heated, providing it with more thermal energy. Compared to cold water, hot water has more thermal energy.

Therefore, molecules and atoms in colder objects move more slowly and have less thermal energy than those in warmer ones. The ability of particles to transfer energy increases with speed.

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What average net force is required to accelerate a 3950 kg bus to a speed of 25m/s in 10.5 s?

Answers

Answer:

Explanation:

ACCELERATION = CHANGE IN VELOCITY

                                          TIME  TAKEN

∴ a = 25 - 0

         10.5

∴ a =   50    

           21    

by using f = ma,

we get , f =   3950 ×  50                                                                                  

                                     21

∴  A FORCE OF 9404.8 N IS NEEDED TO ACCELERATE A BUS OF 3950 KG.

detergents are used to clean the clothes why​

Answers

Answer:Detergent mixes with water to remove dirt and oil from clothes. Water can't remove oil and dirt from clothes. Detergent cleans by causing a chemical reaction with water to force dirt and debris out of clothing. Detergents work with water to loosen the dirt trapped in the material of clothing and clean them away.

Explanation:May i plz have brainlist only if u wanna give me brainlist though have an nice day!

1. What is the significance of the slopes of the two graphs?
2. Using the graphs, calculate the acceleration for each scenario?
3. What is the relationship between force, mass, and acceleration? Explain using data

Answers

Answer:

1. The velocity of the wagon decreases when Tradi is in the wagon because the mass increases while the external force stays constant.

2. The basic formula for calculating acceleration is a=F/a

Tommy along, acceleration: it will be 2.5 m/s^2. a=100/40

Tommy + Tradi = it will be about 1.66 m/s^2 since a=100/60

3. Well, you see, F=ma, when mass increases, the force decreases.

The relationship between mass and force is inversely proportional.

According to the graphs, velocity increases when there's less mass, which you could say that they are also inversely proportional.

Another comparison,

As the force applied on an object increases, when the mass stays constant, the acceleration also increases. Which means that they are directly proportional.

How can a body have centripetal acceleration even if the speed is constant?

Please help me understand this it’ll be greatly appreciated!

Answers

Answer:

motion of an object—even if the object is maintaining a constant speed—still count as acceleration

Explanation:

Find the applied voltage of a telephone circuit that draws 0.017A through a resistance Of 5,000 ohms

Answers

Following ohms law ( V=IR ) Therefore the voltage will be = 0.017 x 5000 =85 volts

Two points charge of 4\mu C and 2\mu C are placed at theopposite corners of a rectangle. What is the potential difference Va- Vb

Answers

Answer:

[tex]Va-Vb=168KV[/tex]

Explanation:

From the question we are told that

Two points charge of 4\mu C and 2\mu C

Generally we find the  Va and Vb individually to find there difference

Given a rectangle with two equal sides each,Assume lengths for bot sides

Length L=0.3

Breath B=0.4

Diagonal D=[tex]\sqrt{0.3^2+0.4^2} =0.5[/tex]

at  opposite sides

Mathematically Va can represented as

[tex]Va =k(\frac{4*10^_-_6}{0.3} +\frac{-2*10^_-_6}{0.5} )[/tex]

[tex]Va =9*10^9(\frac{4*10^_-_6}{0.3} +\frac{-2*10^_-_6}{0.5} )[/tex]

[tex]Va =9*10^9(0.00001333333-0.000004} )[/tex]

[tex]Va =84000V[/tex]

[tex]Va =84KV[/tex]

Mathematically Vb is  represented as

[tex]Va =k(\frac{-4*10^_-_6}{0.3} +\frac{2*10^_-_6}{0.5} )[/tex]

[tex]Va =9*10^9(\frac{-4*10^_-_6}{0.3} +\frac{+2*10^_-_6}{0.5} )[/tex]

[tex]Va =9*10^9(-0.00001333333+0.000004} )[/tex]

[tex]Va =-84000V[/tex]

[tex]Va =-84KV[/tex]

Therefore

[tex]Va-Vb=84-(-84)\\Va-Vb=84+84\\Va-Vb=168KV[/tex]

1. Determine the kinetic energy of a 625-kg roller coaster car that is moving with a speed of 18.3 m/s,​

Answers

Answer:

104653.13J

Explanation:

Given parameters:

Mass of roller coaster  = 625kg

Speed  = 18.3m/s

Unknown:

Kinetic energy  = ?

Solution:

The kinetic energy is the energy due to the motion of a body.

     Kinetic energy  = [tex]\frac{1}{2}[/tex] x m x v²  

m is the mass

v is the speed

    Kinetic energy  =  [tex]\frac{1}{2}[/tex]  x 625  x  18.3²   = 104653.13J

A bike travels at 20mph for 5 hours, then 10 mph for 3 hours. What is the average speed?
How do i solve for it?

Answers

Answer:

10 mph

Explanation:

please help me!!!!!!!!!!!!!!!​

Answers

Answer:

3

Explanation:

i did it

A solid sphere of radius R carries a fixed, uniformly distributed charge q. Obtain an expression for the magnitude of the electric field created by the sphere at a point P outside the sphere.

Answers

Answer:

The electric field outside the sphere will be [tex]\dfrac{qr}{4\pi\epsilon_{0}R^3}[/tex].

Explanation:

Given that,

Radius of solid sphere = R

Charge = q

According to figure,

Suppose r is the distance between the point P and center of sphere.

If [tex]\rho[/tex] be the volume charge density,

Then, the charge will be,

[tex]q=\rho\times\dfrac{4}{3}\pi R^3[/tex].....(I)

Consider a Gaussian surface of radius r.

We need to calculate the electric field outside the sphere

Using formula of electric field

[tex]\oint{\vec{E}\cdot \vec{dA}}=\dfrac{Q}{\epsilon_{0}}[/tex]

[tex]E\times4\pi r^2=\dfrac{\rho\dotc \dfrac{4}{3}\pi r^3}{\epsilon_{0}}[/tex]

Put the value from equation (I)

[tex]E\times4\pi r^2=\dfrac{qr^3}{\epsilon_{0}R^3}[/tex]

[tex]E=\dfrac{qr}{4\pi\epsilon_{0}R^3}[/tex]

Hence, The electric field outside the sphere will be [tex]\dfrac{qr}{4\pi\epsilon_{0}R^3}[/tex].

You push your friend, whose mass is 54kg, down a hill so she can go sledding. Her acceleration is 3m/s2. Calculate the amount of force you applied to your friend.

Answers

Answer:

18 newtons

Explanation:

Divide weight by speed

The first five harmonics for a vibrating string are shown in Figure24.13.a.For each harmonic, identify the number of wavelengths represented.b.For each harmonic, identify the number of nodes and antinodes that are present (include the ends of the string in your count).c.Which of the five harmonics has the highest natural frequency?d.Make a drawing that shows what the sixth harmonic would look like.

Answers

1st: 0.5 wavelengths. 2 nodes and 1 anti node

2nd: 1 wavelength. 3 nodes and 2 anti nodes

3rd: 1.5 wavelength. 4 nodes and 3 anti nodes

4th: 2 wavelengths. 5 nodes and 4 anti nodes

5th: 2.5 wavelengths. 6 nodes and 5 anti nodes

The 5th harmonic has the highest natural frequency out of these 5

Put a photo of the 6th harmonic in this post aswell

Two ice skaters stand together. They push off and travel directly away from each other, the boy with a velocity of v = +0.35 m/s. If the boy weighs 745N and the girl 477 N, what is the girl's velocity after they push off? ( Consider the ice to be frictionless)_____m/s

Answers

Answer:

-0.55m/s

Explanation:

Given that: For the boy

Weight = 745N

Velocity = +0.35 m/s

Mass of the boy = ?

g = 9.81m/s^2

W = mg

745 = m×9.81

m = 75.94kg

For the girl

Given that:

Weight = 477 N

g = 9.81m/s^2

m = ?

W = mg

477 = m×9.81m/s^2

m = 48.62kg

To solve for the v of the girl, the two has to add up

48.62kg×v + 75.94kg×+0.35 m/s = 0

48.62v + 26.579 = 0

48.62v = - 26.579

v = -26.579/48.62

v = -0.5466

v = -0.55m/s

Hence, the velocity of the girl is -0.55m/s.

The negative sign is as a result of the two of them moving is opposite direction.

the combined focal length of two thin lens is 24 cm and the focal length of one converging lens is 8
cm what is the focal length of the other​

Answers

Answer: f = -12 cm

Explanation: Combined lenses is an array of  simple lenses with a common axis. The combination is useful for correction of optical aberrations which cannot be corrected by simple lenses.

When two lenses are in contact and are thin, focal lengths are related as:

[tex]\frac{1}{F} =\frac{1}{f_{1}} +\frac{1}{f_{2}}[/tex]

If there is a distance between the lenses, the focal length will be:

[tex]\frac{1}{F} =\frac{1}{f_{1}} +\frac{1}{f_{2}} -\frac{d}{f_{1}f_{2}}[/tex]

Since the lenses in the question above are thin and in contact, the focal length of one of them will be:

[tex]\frac{1}{F} =\frac{1}{f_{1}} +\frac{1}{f_{2}}[/tex]

[tex]\frac{1}{f_{2}} =\frac{1}{f_{1}} -\frac{1}{F}[/tex]

[tex]\frac{1}{f_{2}} =\frac{1}{8} -\frac{1}{24}[/tex]

[tex]\frac{1}{f_{2}} =\frac{-2}{24}[/tex]

[tex]f_{2}=[/tex] -12

The focal length of the other lens is -12 cm, with the negative sign meaning it's a converging lens.

a ballon is filled with air. what forces are acting on the ballon and the air?

Answers

Answer: Three forces act significantly on a freely floating helium-

filled balloon: gravity, air resistance (or drag force), and a

buoyant force.

Explanation:

The air pressure on the bottom of the balloon is slightly higher than the air pressure on the top of the balloon (because of the altitude difference). This difference gives rise to the bouyant force. This force competes with gravity as the two main forces acting on the balloon. Every time your feet hit the ground when you are running, the ground hits your feet with an equal and opposite force. Newton’s third law explains how balloons and rocket engines work. When the neck of an inflated balloon is released, the stretched rubber material pushes against the air in the balloon. The air rushes out of the neck of the balloon.

Question 3 (10 points)
The force of gravity depends on what two factors?

Question 3 options:

mass and distance


mass and acceleration


distance and time


velocity and displacement

Answers

Answer:

mass and distance

Explanation:

The force of gravity acting on a body depends on the mass of the body and the distance between the bodies.

This is based on Newton's law of Universal gravitation which states that "the force of gravity between two bodies is directly proportional to the  product of their masses and inversely proportional to the distance between them".

We see that the more the masses between two bodies, and the lower their separation the more the gravitational force between them.

1| Page
01. (a) (i) What is Polarization of a matter
(ii) draw in atomic view before and after​

Answers

Answer:

Polarization occurs when an electric field distorts the negative cloud of electrons around positive atomic nuclei in a direction opposite the field. Polarization P in its quantitative meaning is the amount of dipole moment p per unit volume V of a polarized material, P = p/V.

Explanation:

Answer:

Polarization occurs when an electric field distorts the negative cloud of electrons around positive atomic nuclei in a direction opposite the field. Polarization( P) in its quantitative meaning is the amount of dipole moment (p) per unit volume V of a polarized material, where P = p/V.

please helppppppppppp​

Answers

Answer: 4

Explanation:

when energy is greater then frequency should increase and wavelength should decrease.

Therefore answer is 4

Your car gets a flat! You go from 90 kilometers per hour to a stop in 6 seconds. What is your rate of deceleration? (it's negative!) I need this asap help

Answers

Answer:

at a rate of deceleration of -15 kilometers per second

Explanation:

90/6=15

The rate of deceleration when a car goes from 90km/h to 0 in 6 seconds is 4.16m/s².

HOW TO CALCULATE DECELERATION?

The rate of deceleration can be calculated by using the following formula:

d = v - u/t

Where;

d = deceleration (m/s²)v = final velocity = 90km/h = 25m/su = initial velocity = 0km/h = 0t = time (s)

d = 25 - 0/6

d = 4.16m/s²

Therefore, the rate of deceleration when a car goes from 90km/h to 0 in 6 seconds is 4.16m/s².

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4. What is the tan gential velocity of an object moving in a path of radius 2m with an angular velocity of
3rad/s.pls help me​

Answers

Answer:

6m/s

Explanation:

The tangential velocity is the product of the linear velocity and the radius. This is expressed as;

v = wr

w is the angular velocity = 3rad/s

r is the radius = 2m

Substitute

v = 3 * 2

v = 6m/s

Hence the tangential velocity of the object is 6m/s

How are energy and motion related?

Answers

All moving objects have kinetic energy. When an object is in motion, it changes its position by moving in a direction: up, down, forward, or backward. ... Potential energy is stored energy. Even when an object is sitting still, it has energy stored inside that can be turned into kinetic energy (motion).

Motion energy is indeed the total of kinetic and potential energies in a workable item. The energy contained in moving things is known as motion energy.

What is energy?

In physics, energy is the capacity to accomplish work. It can be potential, kinetic, thermal, electric, chemical, radioactive, or in other forms. There is also heat and work, which is energy inside the process of being transferred through one body to the other. Energy is always classified according to its type once it has been transmitted.

The energy contained in moving things is known as motion energy, sometimes known as mechanical energy. More energy is saved when the thing goes quicker. Motion energy is indeed the total of kinetic and potential energies in a workable item.

Therefore, motion energy is indeed the total of kinetic and potential energies in a workable item.

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Trolley A, of mass 180 g, is moving at a velocity of 4 m/s towards trolley B
which is stationary and has a mass of 120 g. Trolley A then collides with
trolley B.
Calculate the speed of trolley B if:
i the collision is elastic (trolley A stops and trolley B moves off)

Answers

Answer:

To solve typical questions like this we can use law of conversation of linear momentum...which is

T.I.L.M.=T.F.L.M.

(Total initial linear momentum = total final linear momentum.)

Momentum = mass × velocity

T.I.L.M = T.F.L.M

180×4 + 120×0 = 180×0 + 120×V

(180 ×4)/120 = V

6Ms^-1 = v

A 125 g snowball is traveling with a speed of 22 m/s when it hits the fence. If the snowball is completely stopped by the fence and does not rebound, what is the impulse of the force of the fence on the snowball?

Answers

Answer:  2.75 kg*m/s

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

Explanation:

I'll use these variables

F = forcem = massa = accelerationv = velocityt = timei = impulse

though as shown below, we have the time variable cancel out

F = ma .... newton's second law

F = m*(v/t)

i = F*t

i = m*(v/t)*t

i = m*v

The impulse is the product of mass and velocity

In this case, we have

m = 125 grams = 0.125 kgv = 22 m/s

So,

i = m*v

i = (0.125 kg)*(22 m/s)

i = (0.125*22) kg*m/s

i = 2.75 kg*m/s

This is equivalent to 2.75 Ns where "Ns" is an abbreviation of "Newton seconds". It's effectively multiplying the Newton unit with the seconds unit.

The impulse is the change in momentum. So the snowball has a change of momentum of 2.75 kg*m/s

A 3.6kg cat is laying on a tree branch, 3 meters above the ground. What is the cat’s potential energy?

Answers

Answer:

E = 105.84  J

Explanation:

Given that,

Mass of cat, m = 3.6 kg

It is laying 3 meters above the ground.

We need to find the cat's potential energy. The formula for the potential energy of an object is given by :

E = mgh

Substituting all the values,

E = 3.6 kg × 9.8 m/s²×3 m

E = 105.84  J

So, the cat's potential energy is 105.84  J.

How can the relationship between atomic number and the number of protons be described?

Answers

Answer:

It's the number of protons in the nucleus of the atom

Which region contains the alkaline earth metal family of elements? A, B, C or D?

Answers

Answer:

B

Explanation:

B is the most likely region that contains alkaline earth family elements.

The alkaline earth metal family of elements is represented by B region in the figure.

What is alkaline earth metal?

The alkaline earth metals are found on the periodic table in Group 2, which is on the far left side of the table between Group 1, the alkali metals, and Groups 3-12, the transition elements. This family is made up of six metals: beryllium, magnesium, calcium, strontium, barium, and radium.

What is periodic table?

The periodic table, also known as the periodic table of the elements, is a tabular display of the chemical elements.

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Select the correct answer.
What type of motion means to bounce or spring back?

Spin
Rotate
Rebound
Speed

Answers

Answer:

Rebound

Explanation:

Answer:

Rebound is your answer

Explanation:

To rebound is to bounce or

spring back after coming into

contact with another object.

Examples:

Rebound

• A basketball rebounds off the

backboard.

• A hockey puck rebounds off

the wall.

What is constant of a spring if there is 150 j when stretched 0.25 m?

Answers

0.45 This is the wrong answer

Waves transport
over distances.
A. solids
B.
liquids
C.
gases
D.
energy

Answers

Answer:

d)energy

Explanation:

Waves can transfer energy over distance without moving matter the entire distance. For example, an ocean wave can travel many kilometers without the water itself moving many kilometers. The water moves up and down—a motion known as a disturbance. It is the disturbance that travels in a wave, transferring energy.

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